Design method and device for nonlinear term offset moving magnetic vibrator and application of design method and device

Abstract

The design method of the non-linear term offset moving-magnet vibrator meets the following conditions: (1) a moving-magnet vibrator body comprises an outer cylinder, a vibration transmission sheet, a stator assembly and a rotor assembly; and (2) the mover assembly is subjected to electromagnetic acting force of pushing force and pulling force in pairs at the same time and presents a push-pull type structural characteristic, so that linear terms in the acting force borne by the mover assembly are overlapped and become larger, and non-linear terms in the acting force borne by the mover assembly are partially or completely counteracted and are reduced, so that the linear terms in the acting force borne by the mover assembly are reduced, and the linear terms in the acting force borne by the mover assembly are reduced. And obtaining the moving magnet type vibrator with the counteracted nonlinear term.

Description

Technical Field

[0001] This invention relates to the field of oscillator technology, specifically to the design method, apparatus, and application of a moving magnet oscillator with nonlinear term cancellation. Background Technology

[0002] The vibrator and / or haptic feedback actuator design of bone conduction headphones, particularly the moving magnet design, offers several advantages. For example, heat dissipation in the coil is better, as the moving magnet component itself is not heated; the coil has a hollow shaft design with the magnet located internally, resulting in a more compact overall design; and because the coil is stationary, it avoids the vulnerability of coil connecting wires. Furthermore, the moving magnet design allows for higher peak force values ​​and a higher peak force-to-mass ratio, leading to higher acceleration (G-force).

[0003] Existing moving-magnetic oscillator designs often exhibit high nonlinearity due to inherent limitations in the magnet and coil combination design. This means the force or acceleration applied to the mover assembly results in significant distortion at low or high frequencies, known as total harmonic distortion (THD). Figure 22 The total harmonic distortion (THD) test chart for the existing moving-magnet oscillator design shows that the distortion reaches 99% near 25Hz and 46% around 100Hz. Such high distortion indicates that in the low-frequency range, the distortion of the audio signal or haptic feedback signal leads to a significant discrepancy between the perceived sound quality and the actual haptic feedback. Generally, a distortion greater than 10% is unacceptable according to audio standards. Summary of the Invention

[0004] One of the objectives of this invention is to provide a design method for a moving magnet oscillator that cancels out nonlinear terms.

[0005] Another object of the present invention is to provide a moving magnet oscillator designed using the above method to cancel out nonlinear terms.

[0006] Another object of the present invention is to provide an application of a moving magnet oscillator with nonlinear term cancellation designed by the above method.

[0007] The technical solution of this invention is: a design method for a moving-magnetic oscillator with nonlinear term cancellation, comprising the following conditions:

[0008] (1): A moving magnetic oscillator body is provided, the moving magnetic oscillator body includes an outer cylinder, a transmission plate, a stator assembly and a mover assembly, the stator assembly includes a coil assembly structure, the mover assembly includes a magnet assembly structure, the stator assembly is fixed inside the outer cylinder, the transmission plate is fixed on the outer cylinder, and the mover assembly and the transmission plate are fixedly connected through at least one point, wherein the mover assembly moves while the stator assembly does not move, and the mover assembly is called a moving component;

[0009] (2): The moving part is simultaneously subjected to electromagnetic forces of two pairs of push and pull forces, exhibiting a push-pull structural feature.

[0010] This invention provides an improved design method, apparatus, and application for a moving-magnetic oscillator that cancels out nonlinear terms. Compared with the prior art, it has the following improvements and advantages:

[0011] 1. This invention proposes a method to reduce the nonlinear term of the driving force on the magnet assembly structure or the nonlinear term of the oscillator coil current in the acceleration of the mover assembly by means of a paired or unpaired design, so that the nonlinear term can be completely or partially canceled out in the final resultant force, thereby greatly reducing the distortion of the oscillator and improving the fidelity of the oscillator for the original audio signal or tactile feedback signal.

[0012] 2. The nonlinear term cancellation moving magnet oscillator of the present invention reduces the total harmonic distortion in the low-frequency range from the original peak value of 99% to below 15% of the peak value. The reduction in the distortion curve is equivalent to a reduction in the resonant frequency of the oscillator system, thereby improving the sound quality in the mid-low frequencies. In addition, it can also be equivalent to an increase in the sensitivity of the oscillator system and a reduction in power consumption.

[0013] 3. The design method of the nonlinear term cancellation moving magnet oscillator of the present invention results in a uniform and balanced force on the oscillator, realizing the overall translational vibration of the oscillator and achieving the best vibration effect. Attached Figure Description

[0014] The present invention will be further explained below with reference to the accompanying drawings and embodiments:

[0015] Figure 1 These are cross-sectional views of embodiments 1 and 2 of the present invention;

[0016] Figure 2 These are the closed magnetic field lines of the coil and permanent magnet in Embodiments 1 and 2 of the present invention;

[0017] Figure 3 These are magnetic domain analysis diagrams of embodiments 1 and 2 of the present invention;

[0018] Figure 4 This is a diagram showing the relationship between the magnetic field and the stator assembly in embodiments 1 and 2 of the present invention;

[0019] Figure 5 These are force analysis diagrams of the magnetic field and mover components in embodiments 1 and 2 of the present invention;

[0020] Figure 6 These are force analysis diagrams of the moving part components in Embodiments 1 and 2 of the present invention;

[0021] Figure 7 These are cross-sectional views of embodiments 3 and 4 of the present invention;

[0022] Figure 8 These are the closed magnetic field lines of the coil and permanent magnet in embodiments 3 and 4 of the present invention;

[0023] Figure 9 These are magnetic domain analysis diagrams from embodiments 3 and 4 of the present invention;

[0024] Figure 10 These are force analysis diagrams of the magnetic field, mover assembly, and stator assembly in embodiments 3 and 4 of the present invention;

[0025] Figure 11 These are force analysis diagrams of the magnetic field and mover assembly in embodiments 3 and 4 of the present invention;

[0026] Figure 12 These are cross-sectional views of embodiments 5 and 6 of the present invention;

[0027] Figure 13 These are the closed magnetic field lines of the coil and permanent magnet in embodiments 5 and 6 of the present invention;

[0028] Figure 14 These are magnetic domain analysis diagrams from embodiments 5 and 6 of the present invention;

[0029] Figure 15 These are force analysis diagrams of the magnetic field, stator assembly, and mover assembly in embodiments 5 and 6 of the present invention;

[0030] Figure 16 These are force analysis diagrams of the magnetic field and mover assembly in embodiments 5 and 6 of the present invention;

[0031] Figure 17 These are cross-sectional views of embodiments 7 and 8 of the present invention;

[0032] Figure 18 These are the closed magnetic field lines of the coil and permanent magnet in embodiments 7 and 8 of the present invention;

[0033] Figure 19 These are magnetic domain analysis diagrams from embodiments 7 and 8 of the present invention;

[0034] Figure 20 These are force analysis diagrams of the magnetic field, stator assembly, and mover assembly in embodiments 7 and 8 of the present invention.

[0035] Figure 21 These are force analysis diagrams of the moving part assembly in embodiments 7 and 8 of the present invention;

[0036] Figure 22 This is a total harmonic distortion (THD) test chart for existing moving magnet oscillators;

[0037] Figure 23 The total harmonic distortion (THD) test results are shown for the moving magnet oscillator in Embodiments 1 and 2 of the present invention.

[0038] Figures 24-40a This is a schematic diagram of the magnet component in this invention;

[0039] Figures 41-53 This is a schematic diagram of the coil component in this invention;

[0040] Figures 54-59 This is a schematic diagram of the magnetic field in this invention. Detailed Implementation

[0041] The present invention will now be described in detail, and the technical solutions in the embodiments of the present invention will be clearly and completely described. Obviously, the described embodiments are only some embodiments of the present invention, and not all embodiments. Based on the embodiments of the present invention, all other embodiments obtained by those skilled in the art without creative effort are within the scope of protection of the present invention.

[0042] For the design of nonlinear term cancellation, there are 2N magnetic domains inside the oscillator. The magnetic domains are paired and defined as magnetic domain D. 1,i and D 2,i Where i = 1, 2, 3, ..., N. The closed curves of the main magnetic field lines of the coil and the closed curves of the main magnetic field lines of the permanent magnet respectively pass through the magnetic field domain D. 1,i and D 2,i And in the magnetic domain D 1,i In the coil, the direction of the magnetic field lines is the same as that of the permanent magnet, while in the magnetic domain D... 2,i In the coil, the direction of the magnetic field lines is opposite to that of the permanent magnet. Or in the magnetic domain D... 1,i In the coil, the direction of the magnetic field lines is opposite to that of the permanent magnet, while in the magnetic domain D... 2,i In this case, the direction of the magnetic field lines of the coil is the same as the direction of the magnetic field lines of the permanent magnet.

[0043] When the magnetic field lines of a coil passing through a magnetic field are in the same direction as the magnetic field lines of a permanent magnet, the total magnetic flux is equal to the sum of the magnetic flux produced by the coil and the magnetic flux produced by the permanent magnet. When the magnetic field lines of a coil passing through a magnetic field are in the same direction as the magnetic field lines of a permanent magnet, the total magnetic flux is equal to the difference between the magnetic flux produced by the coil and the magnetic flux produced by the permanent magnet.

[0044] The oscillator contains at least one magnetic field. A magnetic field refers to a spatial region where one or more electromagnetic fields exist, causing interaction forces between the components surrounding the magnetic field. We define this region as a magnetic field, or simply a magnetic domain.

[0045] Magnetic domain: A magnetic domain is a spatial region filled with electromagnetic energy, generally composed of air or a medium with low permeability (e.g., relative permeability <1000), including the region where the magnetic material is located; the moving coil oscillator of this invention, which cancels out nonlinear terms, includes at least one magnetic domain. A magnetic domain refers to a spatial region where a certain electromagnetic field or multiple electromagnetic fields exist, causing interaction forces between the components surrounding the magnetic domain. We define such a region as a magnetic domain, or simply a magnetic domain. A magnetic domain is the spatial region where magnetic interaction occurs. It is generally composed of the spatial region between permanent magnets (producing attractive or repulsive interactions), or the spatial region enclosed by permanent magnets and magnetic conductors (producing attractive interactions), or the spatial region enclosed by magnetic conductors (yokes) magnetized by permanent magnets, or a group of spatial regions where magnetic interaction occurs within permanent magnets (the permeability of the hard magnetic material constituting the permanent magnet is close to that of air).

[0046] Several types of magnetic domains:

[0047] 1) The space between the permanent magnets is filled with a medium (air, with a relative permeability slightly greater than 1).

[0048] The medium above can be replaced with a paramagnetic material, an antimagnetic material, or a ferromagnetic material with a relative permeability of less than 1000. For example:

[0049] a. Paramagnetic materials: These have a relative permeability slightly greater than 1. Examples of paramagnetic materials include air, oxygen, tin, aluminum, and lead. When a paramagnetic material is placed in a magnetic field, the magnetic induction intensity B increases slightly.

[0050] b. Diamagnetic materials: These are materials with a relative permeability slightly less than 1, such as hydrogen, copper, graphite, silver, and zinc. They are also called diamagnetic materials. When a diamagnetic material is placed in a magnetic field, the magnetic induction intensity B decreases slightly.

[0051] c. Ferromagnetic materials: These have a relative permeability much greater than 1 but less than 1000. Examples include iron, steel, cast iron, nickel, and cobalt. Materials with a relative permeability less than 1000 include cobalt, unannealed cast iron, and annealed cast iron. Magnetic fluids, on the other hand, have a relative permeability below 10.

[0052] like Figure 54 As shown, permanent magnet 1 and permanent magnet 2 are surrounded by air. The permanent magnets attract each other.

[0053] Magnetic domain D1: The spatial region enclosed by the air medium between permanent magnet 1 and permanent magnet 2.

[0054] Magnetic domain D2: The spatial region enclosed by the partial permanent magnet 2 and the air medium surrounding the partial permanent magnet 2.

[0055] Magnetic domain D3: The spatial region enclosed by all permanent magnets 1 and the air medium surrounding permanent magnets 1.

[0056] Magnetic domain D4: The spatial region enclosed by all permanent magnets 1 and 2, and the air medium surrounding permanent magnets 1 and 2.

[0057] Magnetic domain D5: The spatial region enclosed by air medium on the side of permanent magnet 2 away from permanent magnet 1.

[0058] Magnetic domain D6: The spatial region enclosed by the permanent magnet material medium surrounding part of the permanent magnet 1.

[0059] like Figure 55 As shown, permanent magnet 1 and permanent magnet 2 are surrounded by air. The permanent magnets attract each other. Similarly, D1-D6 can be defined.

[0060] 2) The space between the permanent magnet and the magnetic conductor is filled with a medium (air, with a relative permeability close to 1).

[0061] 3) such as Figures 56-57 As shown, the space between the magnetic conductors is filled with a medium (air, with a relative permeability close to 1).

[0062] Magnetic domain D1: The spatial region enclosed by the air medium between magnetic conductor 1 and magnetic conductor 2.

[0063] Magnetic domain D2: The spatial region enclosed by a portion of permanent magnets and a portion of magnetic conductors 2, as well as the surrounding air medium.

[0064] Magnetic domain D3: The spatial region enclosed by all the magnetic conductors 1, some permanent magnets, and the air medium surrounding the magnetic conductors 1.

[0065] Magnetic domain D4: The spatial region enclosed by all magnetic conductors 1 and 2, permanent magnets, and the air medium surrounding them.

[0066] Magnetic domain D5: The spatial region enclosed by the air medium on the side of conductor 2 away from magnetic conductor 1.

[0067] Magnetic domain D6: The spatial region enclosed by a permanent magnetic material medium surrounding a portion of the permanent magnet.

[0068] 4) such as Figure 58As shown, the space between the magnet and the magnetic conductor is filled with a medium (magnetorheological fluid, with a relative permeability between 5 and 9).

[0069] 5) The internal space of the permanent magnet is filled with a medium (permanent magnet material, relative permeability <1000).

[0070] like Figure 59 As shown in the previous example, magnetic domain D6 has a permanent magnet material as its medium, such as sintered ferrite, samarium cobalt and neodymium iron boron with a permeability of about 1.05, bonded ferrite also has a permeability of about 1.05, and bonded neodymium magnets have a permeability range of about 1.1 to 1.7.

[0071] There are two types of magnetic force domains. The first type is the magnetic force domain enclosed within the mover assembly or the stator assembly. The second type is the magnetic force domain enclosed between the mover assembly and the stator assembly. We are more interested in the second type of magnetic force domain. Therefore, by analyzing the second type of magnetic force domain, we can obtain the force analysis of the mover assembly, thereby obtaining the resultant force of the mover assembly in the oscillator system, and further derive its vibration equation.

[0072] Example 1

[0073] Please refer to Figure 1-5 The design method for a moving-magnet oscillator with nonlinear terms canceled out includes the following conditions:

[0074] (1): A moving magnetic oscillator body 11 is provided. The moving magnetic oscillator body 11 includes an outer cylinder 1, a transmission plate 7, a stator assembly and a mover assembly. The stator assembly includes a coil assembly structure. The mover assembly includes a magnet assembly structure. The coil assembly structure includes a coil 3 and a first magnetic conductor 4. The magnet assembly structure includes a permanent magnet 6 and a second magnetic conductor 5. The stator assembly is fixed inside the outer cylinder 1. The transmission plate 7 is fixed on the outer cylinder 1. The mover assembly and the transmission plate 7 are fixedly connected through at least one point. The mover assembly moves while the stator assembly does not move. The mover assembly is called a moving component.

[0075] (2): The moving part is simultaneously subjected to electromagnetic forces of two pairs of push and pull forces, exhibiting a push-pull structural feature.

[0076] The moving magnet type oscillator body 11 has 2N magnetic domains D designed in pairs. 1,i and D 2,i N is 1, 2, 3, ..., 100, i = 1, 2, 3, ...;

[0077] The number of permanent magnets in the magnet combination structure and the number of coils in the coil combination structure are limited, with the number of permanent magnets being N. 磁 The number of coils is N 圈 , making N磁 >N 圈 Or N 磁 <N 圈 N 磁 For 1, 2, 3, ..., 100; N 圈 The range is 1, 2, 3, ..., 100.

[0078] In the push-pull structure, the linear terms of the electromagnetic force on the moving component are superimposed and increase, while the nonlinear terms of the electromagnetic force on the moving component are partially or completely canceled out and decrease.

[0079] In the coil assembly structure, the closed curve of the main magnetic field lines of the coil and in the magnet assembly structure, the closed curve of the main magnetic field lines of the permanent magnet respectively traverse the magnetic domain D. 1,i and D 2,i A magnetic field is a spatial region filled with electromagnetic energy, generally composed of air or a medium with low magnetic permeability (e.g., relative permeability <1000), including the region where the magnetic material is located; and within the magnetic field D... 1,i In the coil, the direction of the magnetic field lines is the same as that of the permanent magnet, while in the magnetic domain D... 2,i In the coil, the direction of the magnetic field lines is opposite to the direction of the magnetic field lines of the permanent magnet; or in the magnetic domain D 1,i In the coil, the direction of the magnetic field lines is opposite to the direction of the magnetic field lines of the permanent magnet, while in the magnetic domain D... 2,i In this configuration, the direction of the magnetic field lines of the coil is the same as the direction of the magnetic field lines of the permanent magnet.

[0080] The vibration transmission plate 7 can be rectangular, circular, racetrack-shaped or three-dimensional depending on the application scenario, and can be used in combination according to different application scenarios; the vibration transmission plate 7 is usually fixed on the top surface, bottom surface or middle of the outer cylinder 1.

[0081] The stator assembly is fixed inside the outer cylinder 1, which can be on the inner wall, top surface, or bottom surface of the outer cylinder 1;

[0082] The moving part assembly is fixedly connected to the vibration transmission plate 7 through at least one point, which includes point contact and surface contact, and can be one point, two points, or multiple points.

[0083] The number of permanent magnets 6 and coils 3 is limited, with 1 permanent magnet and 2 coils.

[0084] The moving magnet type oscillator body 11 has two symmetrically designed magnetic domains D inside. 1,1 and D 2,1 The closed curves of the main magnetic field lines of the coil 3 and the closed curves of the main magnetic field lines of the permanent magnet 6 respectively traverse the magnetic domain D. 1,1 and D 2,1And in the magnetic domain D 1,1 In the magnetic field, the direction of the magnetic field lines of the coil 3 is the same as that of the permanent magnet 6, while in the magnetic domain D... 2,1 In this configuration, the direction of the magnetic field lines of the coil 3 is opposite to the direction of the magnetic field lines of the permanent magnet 6.

[0085] The moving component is subjected to two forces; each force comprises two parts, one being a linear term of the excitation current i and the other being a nonlinear term of the excitation current i:

[0086] F 动磁,n (i)=F 动磁,n,linear (i)+F 动磁,n,nonlinear (i), where n = 1, 2, 3, ..., 2N-1, 2N;

[0087] The resultant force on the moving part also consists of two parts: a linear term of current i and a nonlinear term of current i.

[0088] F 动磁,合力 (i)=F 动磁,合力,linear (i)+F 动磁,合力,nonlinear (i)

[0089] in:

[0090]

[0091]

[0092]

[0093] That is, the nonlinear terms in each component force partially or completely cancel each other out, resulting in the final total resultant force ∑. i (F 1,i +F 2,i In this process, the total resultant force partially or completely cancels out the nonlinear term of the current, while the linear terms are superimposed and increase, thus obtaining a moving magnet oscillator with the nonlinear term canceled out.

[0094] The moving part assembly and the stator assembly are arranged in an alternating, interlocking pattern. The closed curves of the main magnetic field lines of the coil 3 and the closed curves of the main magnetic field lines of the permanent magnet 6 alternately pass through the moving part assembly and the stator assembly, respectively.

[0095] It also includes the following conditions:

[0096] (3.1): Looking outward from the center, the permanent magnet 6 is inside and the coil 3 is outside;

[0097] (3.2):N 圈 =2; n=1;

[0098] (3.3): When N圈 When the value is greater than 1, the current in adjacent coil 3 is in the opposite direction, and the polarity of the electromagnetic field at the two adjacent end faces of two adjacent coils 3 is the same.

[0099] A magnetic conductor is used near the outer cylinder 1 of the coil 3 to minimize the magnetic resistance of the magnetic circuit of the electromagnet 6 formed by the coil 3; the permanent magnets 6 in the magnet assembly are isolated by a magnetic conductor; a yoke is used around the coil 3 and the permanent magnets 6, or, for the coil assembly structure, a magnetic outer cylinder is used near the outer cylinder 1 of the coil 3.

[0100] Example 2

[0101] Please refer to Figure 1-5 The nonlinear term cancellation moving magnet oscillator device designed using the method of Embodiment 1 includes a moving magnet oscillator body 11. The moving magnet oscillator body 11 includes an outer cylinder 1, a transmission plate 7, a stator assembly, and a mover assembly. The stator assembly includes a coil assembly structure, and the mover assembly includes a magnet assembly structure. The coil assembly structure includes a coil 3 and a first magnetic conductor 4. The magnet assembly structure includes a permanent magnet 6 and a second magnetic conductor 5. The outer cylinder 1 can be a magnetically conductive outer cylinder or a non-magnetically conductive outer cylinder. To reduce magnetic resistance, a magnetically conductive outer cylinder is preferred. The cross-section of the outer cylinder can be circular, square, or irregular, and can be continuous or discontinuous, such as a columnar connection or a grid-like discontinuity.

[0102] The coil assembly structure also includes a first magnetic ring 2. Looking outwards from the center, the coil 3 is on the outside, and the permanent magnet 6 is on the inside. There is one permanent magnet 6 and two coils 3. The current directions in adjacent coils 3 are opposite, and the electromagnetic field polarities of the two adjacent end faces of two adjacent coils 3 are the same. Two vibration transducers 7 are provided, and the two vibration transducers 7 are respectively fixed to the top and bottom surfaces of the outer cylinder 1. The permanent magnet 6 is fixed in the second magnetic conductor 5, and both ends of the second magnetic conductor 5 are respectively fixed to the vibration transducers 7. The first magnetic conductor 4... The two coils 3 are fixed to the middle of the inner wall of the outer cylinder 1, respectively, and are fixed to both sides of the first magnetic conductor 4. The first magnetic ring 2 is fixed to the outer side of the two coils 3. Both the coils 3 and the first magnetic ring 2 are fixed to the inner wall of the outer cylinder 1. The moving part assembly and the stator assembly are arranged in an alternating concave-convex interlocking shape. The closed curve of the main magnetic force line of the coil 3 and the closed curve of the main magnetic force line of the permanent magnet 6 alternately pass through the moving part assembly and the stator assembly, respectively. The moving magnetic oscillator body has two symmetrically designed magnetic domains D inside. 1,1 and D 2,1 The closed curves of the main magnetic field lines of the coil 3 and the closed curves of the main magnetic field lines of the permanent magnet 6 respectively cross the magnetic domain D. 1,1 and D 2,1 And in the magnetic domain D 1,1In the magnetic field, the direction of the magnetic field lines of the coil 3 is the same as that of the permanent magnet 6, while in the magnetic domain D... 2,1 In this case, the direction of the magnetic field lines of the coil 3 is opposite to the direction of the magnetic field lines of the permanent magnet 6.

[0103] To further illustrate the design method of the moving-magnet oscillator with nonlinear term cancellation, please refer to the appendix. Figure 2 and 3 Air gap 1 constitutes the magnetic field D 1,1 Air gap 2 constitutes the magnetic field D 2,1 Within the magnetic field domain, the total magnetic flux / magnetic induction intensity generated by the superposition of the magnetic field generated by the permanent magnet 6 and the electromagnet generated by the coil 3 causes the components around the magnetic field to generate an interaction force.

[0104] The current through coil C1 and the current through coil C2 are both i, but the current directions in coil C1 and coil C2 are opposite. Assume the magnetic flux corresponding to coil C1 is Φ. i1 The magnetic flux corresponding to coil C2 is Φ i2 The magnetic flux corresponding to the permanent magnet is Φ m In the magnetic domain D1 (magnetic field domain D1), the direction of the magnetic field lines corresponding to coil C1 is the same as the direction of the magnetic field lines corresponding to the permanent magnet. Therefore, the total magnetic flux in the magnetic domain D1 is Φ. i1 and Φ m The addition value. In the magnetic domain D2 (magnetic field D2), the direction of the magnetic field lines corresponding to coil C2 is opposite to the direction of the magnetic field lines corresponding to the permanent magnet. Therefore, in the magnetic domain D2, the total magnetic flux is Φ. i2 and Φ m The decrease. Assuming that the direction of the magnetic field lines of permanent magnet 6 is positive in each magnetic domain, then:

[0105] Φ D1 =Φ m +Φ i1

[0106]

[0107] Assume that the magnetic reluctance of the magnetic circuit formed by the electromagnetic fields generated by the currents in coils 1 and 2 are respectively Z i1 and Z i2 Where N is the number of turns in the coil and i is the current intensity, then:

[0108]

[0109]

[0110] Because the magnetic circuit structure of coils C1 and C2 is a symmetrical design, therefore Z i1 =Zi2 =Z i Therefore, Furthermore, assuming the permeability of the magnetic circuit formed by the electromagnetic field generated by the current is G. i Then we have:

[0111]

[0112] The magnetic flux corresponding to permanent magnet 6 can also be expressed using the formula for magnetic induction intensity. Assume the magnetic induction intensity at the extreme ends of the permanent magnet is B. m The area of ​​the magnetic pole end is S. m , can be obtained

[0113] Therefore,

[0114]

[0115] Please refer to the appendix. Figure 2 , attached Figure 2 The closed magnetic field lines of coils C1 and C2 and the permanent magnet are drawn separately. In the figure, the closed magnetic field lines generated by coil C1 pass through magnetic gap D1 and magnetic gap D2, while the closed magnetic field lines generated by the permanent magnet pass through magnetic gaps D1 and D2 in sequence.

[0116] Please refer to the appendix. Figure 3 , attached Figure 3 Moving component, magnetic domain D 1,1 D 2,1 Relationship diagram with stator assembly. In magnetic domain D 1,11 The moving part is subjected to a rightward attractive force F1 from the stator assembly in the magnetic domain D. 1,1 The moving part is subjected to a leftward suction force F2 from the stator assembly. Taking the rightward direction as positive, the resultant force of the moving part on the stator assembly is F1-F2.

[0117] Please refer to the appendix. Figure 5 , attached Figure 3 This is a force analysis diagram isolated from the moving part. The moving part is subjected to forces from the stator part, namely a rightward suction force F1 and a leftward suction force F2, the resultant force of which is F1-F2.

[0118] F 动磁 =F1-F2

[0119] Further derive the formulas for the electromagnetic forces generated in each magnetic domain. The electromagnetic attraction acting on a magnetized ferromagnetic object is proportional to the total area of ​​the magnetic field lines passing through the magnetic poles and the square of the magnetic flux density. If the magnetic flux density B is uniformly distributed along the surface of the magnetic poles, and the calculated air gap length is small, then the formula for calculating the electromagnetic attraction is Maxwell's formula.

[0120] The expression is:

[0121]

[0122] F: Electromagnetic attraction

[0123] B: Magnetic flux density or magnetic induction intensity

[0124] Magnetic flux through a medium

[0125] S: Area of ​​magnetic field lines crossing magnetic poles

[0126] μ0: Air permeability

[0127] C: The correlation coefficient between the combination type and shape of the magnetic end faces, which has different values ​​for different scenarios. If it is the force generated between permanent magnets, then C... m2m The value is usually taken as 1, and the accurate value is obtained through actual measurement during the design process; if the force between the permanent magnet and the conductive magnet (yoke) is..., then C... m2y The value is usually taken as 1 / 2, and the accurate value is obtained through actual measurement during the design process; if it is the force between the magnetic conductor (yoke) and the magnetic conductor (yoke), it is denoted as C. y2y It is usually taken as 1 / 4, and the accurate value is obtained through actual measurement during the design process.

[0128] Applying the above formula to calculate the electromagnetic attraction in magnetic domain 1 and magnetic domain 2, we get:

[0129]

[0130] Among them, S D1 S D2 These are the areas of the annular end faces corresponding to magnetic domains 1 and 2, respectively, and S D1 =S D1 =S D Therefore:

[0131]

[0132]

[0133] Among them are:

[0134]

[0135]

[0136] because

[0137] F动磁 =F1-F2

[0138] Then there is

[0139] F 动磁，linear =F 动磁,linear +F 动磁,nonlinear

[0140]

[0141] F 1，linear F 2，linear F 1，nonlinear F 1，nonlinear Substitute F respectively 动磁，linear and F 动磁，nonlinear The calculations are as follows:

[0142]

[0143] because

[0144]

[0145]

[0146] Therefore:

[0147]

[0148] Similarly, calculate F. 动磁，nonlinear ,

[0149]

[0150] Therefore, the net force on the moving magnet, which acts as the moving part, is:

[0151]

[0152]

[0153] From the above derivation process, the following characteristics can be observed:

[0154] 1) In the linear term of the resultant force F 动磁，linear In the middle, the component force F 1，linear and F 2，linear The linear terms of each individual are superimposed to form the resultant linear term F. 动磁，linear The coefficient of the coil current is larger.

[0155] 2) In the resultant nonlinear term F 动磁，nonlinear In the middle, the component force F 1，nonlinear and F 2，nonlinear Their respective nonlinear terms cancel each other out, thus the resultant nonlinear term F 动磁，nonlinear It is zero.

[0156] We call the above design method the design method of a moving-magnet oscillator with nonlinear term cancellation. This method can be used not only to design oscillators, but also to design brakes. The moving-magnet oscillator or brake obtained by the above method is also called a moving-magnet oscillator device or brake with nonlinear term cancellation.

[0157] Please refer to the appendix. Figure 22 As can be seen from the figure, the total harmonic distortion in the low-frequency band is greatly reduced, from the original peak value of 99% to below 15% of the peak value, showing a significant improvement.

[0158] The reduction in distortion curve can be equivalently translated into a reduction in the resonant frequency of the oscillator system, resulting in better sound quality. Additionally, it can also be equivalent to an increase in the sensitivity of the oscillator system and a reduction in power consumption.

[0159] Example 3

[0160] Please refer to Figure 6-10 The design method for a moving-magnet oscillator with nonlinear terms canceled out includes the following conditions:

[0161] (1): A moving magnetic oscillator body 11 is provided. The moving magnetic oscillator body 11 includes an outer cylinder 1, a vibration transmission plate 8, a stator assembly and a moving part assembly. The stator assembly includes a coil assembly structure. The moving part assembly includes a magnet assembly structure. The coil assembly structure includes a coil 3 and a first magnetic conductor 7. The magnet assembly structure includes a permanent magnet 6 and a second magnetic conductor 4. The stator assembly is fixed inside the outer cylinder 1. The vibration transmission plate 8 is fixed on the outer cylinder 1. The moving part assembly and the vibration transmission plate 8 are fixedly connected through at least one point. The moving part assembly moves while the stator assembly does not move. The moving part assembly is called the moving component.

[0162] (2): The moving part is simultaneously subjected to electromagnetic forces of two pairs of push and pull forces, exhibiting a push-pull structural feature.

[0163] The moving magnet type oscillator body 11 has 2N magnetic domains D designed in pairs. 1,i and D 2,i N is 1, 2, 3, ..., 100, i = 1, 2, 3, ...;

[0164] The number of permanent magnets in the magnet combination structure and the number of coils in the coil combination structure are limited, with the number of permanent magnets being N. 磁 The number of coils is N 圈 , making N 磁 >N 圈 Or N 磁 <N 圈 N 磁 For 1, 2, 3, ..., 100; N 圈The range is 1, 2, 3, ..., 100.

[0165] In the push-pull structure, the linear terms of the electromagnetic force on the moving component are superimposed and increase, while the nonlinear terms of the electromagnetic force on the moving component are partially or completely canceled out and decrease.

[0166] In the coil assembly structure, the closed curve of the main magnetic field lines of the coil and in the magnet assembly structure, the closed curve of the main magnetic field lines of the permanent magnet respectively traverse the magnetic domain D. 1,i and D 2,i A magnetic field is a spatial region filled with electromagnetic energy, generally composed of air or a medium with low magnetic permeability (e.g., relative permeability <1000), including the region where the magnetic material is located; and within the magnetic field D... 1,i In the coil, the direction of the magnetic field lines is the same as that of the permanent magnet, while in the magnetic domain D... 2,i In the coil, the direction of the magnetic field lines is opposite to the direction of the magnetic field lines of the permanent magnet; or in the magnetic domain D 1,i In the coil, the direction of the magnetic field lines is opposite to the direction of the magnetic field lines of the permanent magnet, while in the magnetic domain D... 2,i In this configuration, the direction of the magnetic field lines of the coil is the same as the direction of the magnetic field lines of the permanent magnet.

[0167] Then, the number of permanent magnets 6 and coils 3 is limited, with 2 permanent magnets and 1 coil.

[0168] The moving magnet type oscillator body 11 has two symmetrically designed magnetic domains D inside. 1,1 and D 2,1 The closed curves of the main magnetic field lines of the coil 3 and the closed curves of the main magnetic field lines of the permanent magnet 6 respectively traverse the magnetic domain D. 1,1 and D 2,1 And in the magnetic domain D 1,1 In the magnetic field, the direction of the magnetic field lines of the coil 3 is opposite to that of the permanent magnet 6, while in the magnetic domain D... 2,1 In this configuration, the direction of the magnetic field lines of the coil 3 is the same as the direction of the magnetic field lines of the permanent magnet 6;

[0169] The moving component is subjected to two forces; each force comprises two parts, one being a linear term of the excitation current i and the other being a nonlinear term of the excitation current i:

[0170] F 动磁,n (i)=F 动磁,n,linear (i)+F 动磁,n,nonlinear (i), where n = 1, 2, 3, ..., 2N-1, 2N;

[0171] The resultant force on the moving part also consists of two parts: a linear term of current i and a nonlinear term of current i.

[0172] F 动磁,合力 (i)=F 动磁,合力,linear (i)+F 动磁,合力,nonlinear (i)

[0173] in:

[0174]

[0175]

[0176]

[0177] That is, the nonlinear terms in each component force partially or completely cancel each other out, resulting in the final total resultant force ∑. i (F 1,i +F 2,i In this process, the total resultant force partially or completely cancels out the nonlinear term of the current, while the linear terms are superimposed and increase, thus obtaining a moving magnet oscillator with the nonlinear term canceled out.

[0178] It also includes the fact that the moving part assembly and the stator assembly are arranged in an alternating, interlocking pattern, and the closed curves of the main magnetic field lines of the coil 3 and the main magnetic field lines of the permanent magnet 6 alternately pass through the moving part assembly and the stator assembly, respectively.

[0179] It also includes the following conditions:

[0180] (3.1): Looking outward from the center, the coil 3 is inside and the permanent magnet 6 is outside;

[0181] (3.2):N 磁 =2; n is a natural number, n=1;

[0182] (3.3): When N 磁 When the value is greater than 1, the polarities of the two opposite end faces of the permanent magnet are the same.

[0183] A magnetic conductor is used near the outer cylinder 1 of the coil 3 to minimize the magnetic resistance of the magnetic circuit of the electromagnet 6 formed by the coil 3; the permanent magnets 6 in the magnet assembly are isolated by a magnetic conductor; a yoke is used around the coil 3 and the permanent magnets 6, or a magnetic outer cylinder is used for the coil assembly structure and the outer cylinder 1 near the coil.

[0184] Example 4

[0185] Please refer to Figure 6-10The nonlinear term cancellation moving magnet oscillator device designed using the method of Embodiment 3 includes a moving magnet oscillator body 11. The moving magnet oscillator body includes an outer cylinder 1, a transmission plate 8, a stator assembly, and a mover assembly. The stator assembly includes a coil assembly structure, and the mover assembly includes a magnet assembly structure. The coil assembly structure includes a coil 3 and a first magnetic conductor 7. The magnet assembly structure includes a permanent magnet 6 and a second magnetic conductor 4. The coil assembly structure also includes a first magnetic conductor ring 5, and the magnet assembly structure also includes a second magnetic conductor ring 2. Viewed from the center outward, the coil 3 is inside, and the permanent magnet 6 is outside. There are two permanent magnets 6 and one coil 3. The polarities of the two opposite end faces adjacent to the permanent magnet 6 are the same. There is one transmission plate 8, which is fixed to the top surface of the outer cylinder 1. In order to reduce magnetic resistance, the outer cylinder 1 is preferably a magnetically conductive outer cylinder.

[0186] One end of the first magnetic conductor 7 is fixed to the bottom surface of the outer cylinder 1. The coil 3 is fixed around the first magnetic conductor 7. The first magnetic ring 5 is fixed to one end of the first magnetic conductor 7. The vibration transmission bracket 9 is L-shaped, and the horizontal part of the vibration transmission bracket 9 is parallel to the vibration direction. The second magnetic conductor 4 is fixed on the horizontal part of the vibration transmission bracket 9. The permanent magnet 6 is fixed on both sides of the second magnetic conductor 4. Two permanent magnets 4 are fixed on the horizontal part of the vibration transmission bracket 9. The moving part assembly and the stator assembly are arranged in an alternating concave-convex interlocking shape. The closed curve of the main magnetic field line of the coil 3 and the closed curve of the main magnetic field line of the permanent magnet 6 alternately pass through the moving part assembly and the stator assembly, respectively. The moving magnetic oscillator body has two symmetrically designed magnetic domains D inside. 1,1 and D 2,1 The closed curves of the main magnetic field lines of the coil and the closed curves of the main magnetic field lines of the permanent magnet respectively traverse the magnetic domain D. 1,1 and D 2,1 In the magnetic domain D 1,1 In the magnetic field, the direction of the magnetic field lines of the coil 3 is opposite to that of the permanent magnet 6, while in the magnetic domain D... 2,1 In this configuration, the magnetic field lines of the coil 3 are in the same direction as the magnetic field lines of the permanent magnet 6.

[0187] To further illustrate the design method of the moving-magnet oscillator with nonlinear term cancellation, please refer to the appendix. Figure 8 Air gap 1 constitutes the magnetic field of action D 1，1 Air gap 2 constitutes the magnetic field D 2,1 , forming magnetic field pairs D = (D 1,1 D 2,1 Within the magnetic field domain, the total magnetic flux / magnetic induction intensity generated by the superposition of the magnetic field generated by the permanent magnet 6 and the electromagnet generated by the coil 3 causes the components around the magnetic field to generate an interaction force.

[0188] Consider the magnetic field pair D = (D 1,1 D 2,1 Assume the current through the coil is i, and the corresponding magnetic flux through the coil is Φ. i The magnetic flux corresponding to the permanent magnet M1 is Φ. m1 The magnetic flux corresponding to the permanent magnet M2 is Φ m2 In the magnetic domain D 1，1 (Magnetic field of action D) 1，1 In the magnetic field, the direction of the magnetic field lines corresponding to coil C is opposite to the direction of the magnetic field lines corresponding to permanent magnet M1. Therefore, in the magnetic field domain D... 1，1 In the middle, the total magnetic flux is Φ i and Φ m1 The difference. In the magnetic domain D 2，1 (Magnetic field of action D) 2，1 In the magnetic field, the direction of the magnetic field lines corresponding to the coil is opposite to the direction of the magnetic field lines corresponding to the permanent magnet M2. Therefore, in the magnetic domain D... 2，1 In the middle, the total magnetic flux is Φ i and Φ m2 The added value. Because the magnetic field formed by a permanent magnet is static, it is assumed that the direction of the magnetic field lines of the permanent magnet is positive, and the magnetic flux is also positive, then we have

[0189] Φ D1，1 =Φ m1 -Φ i

[0190] Φ D2，1 =Φ m2 +Φ i

[0191] Assume the magnetic reluctance of the magnetic circuit formed by the electromagnetic field generated by the current i in the coil above is Z. i Where N is the number of turns in the coil and i is the current intensity, then:

[0192]

[0193] Assume the permeability of the magnetic circuit formed by the electromagnetic field generated by the current is G. i Then we have:

[0194]

[0195] The magnetic flux corresponding to a permanent magnet can also be expressed using the formula for magnetic induction intensity. Assume the magnetic induction intensities at the magnetic end faces of permanent magnets M1 and M2 are B, respectively. m1 and B m2 And B m1 =B m2 =B m Furthermore, assume that the areas of the magnetic end faces of permanent magnet 1 and permanent magnet 2 are S, respectively.m1 and S m2 And S m1 =S m2 =S m It can be obtained that...

[0196] Therefore,

[0197]

[0198] Please refer to the appendix. Figure 7 , attached Figure 7 This is a schematic diagram showing the closed magnetic field lines of the coil and permanent magnets M1 and M2 drawn separately. In the diagram, the closed magnetic field lines generated by magnet M1 pass through the magnetic gap D. 1，1 The closed magnetic field lines generated by magnet M2 pass through the magnetic gap D. 2,1 The closed magnetic lines of force generated by the coil pass through magnetic gaps D1 and D2 in sequence.

[0199] Please refer to the appendix. Figure 9 , attached Figure 9 It is a moving component, magnetic domain D 1,1 D 2,1 Relationship diagram with stator assembly. In magnetic domain D 1,1 The moving part is subjected to a leftward attractive force F1 from the stator assembly in the magnetic domain D. 2,1 The moving part is subjected to a rightward attractive force F2 from the stator assembly. Taking the rightward direction as positive, the net force exerted on the moving part by the stator assembly is -F1 + F2.

[0200] Please refer to the appendix. Figure 10 , attached Figure 10 This is a force analysis diagram isolated from the moving part. The moving part is subjected to forces from the stator part, namely a suction force F1 to the left and a suction force F2 to the right, and the resultant force is -F1+F2.

[0201] F 动磁 =-F1+F2

[0202] Further derive the formulas for the electromagnetic forces generated in each magnetic domain. The electromagnetic attraction acting on a magnetized ferromagnetic object is proportional to the total area of ​​the magnetic field lines passing through the magnetic poles and the square of the magnetic flux density. If the magnetic flux density B is uniformly distributed along the surface of the magnetic poles, and the calculated air gap length is small, then the formula for calculating the electromagnetic attraction is Maxwell's formula, and its expression is:

[0203]

[0204] F: Electromagnetic attraction

[0205] B: Magnetic flux density or magnetic induction intensity

[0206] Magnetic flux through a medium

[0207] S: Area of ​​magnetic field lines crossing magnetic poles

[0208] μ0: Air permeability

[0209] C: The correlation coefficient between the combination type and shape of the magnetic end faces, which has different values ​​for different scenarios. If it is the force generated between permanent magnets, then it is set to C. m2m The value is usually taken as 1, and the accurate value is obtained through actual measurement during the design process; if the force between the permanent magnet and the conductive magnet (yoke) is..., then C... m2y The value is usually taken as 1 / 2, and the accurate value is obtained through actual measurement during the design process; if it is the force between the magnetic conductor (yoke) and the magnetic conductor (yoke), it is denoted as C. y2y It is usually taken as 1 / 4, and the accurate value is obtained through actual measurement during the design process.

[0210] Applying the above formula to calculate the electromagnetic attraction in magnetic domains D1 and D2, we get:

[0211]

[0212] Among them, S D1 S D2 They are magnetic domain D 1,1 D 2,1 The area of ​​the corresponding annular end face, and S D1 =S D1 =S D Therefore:

[0213]

[0214]

[0215] Among them are:

[0216]

[0217]

[0218] because

[0219] F 动磁 =-F1+F2

[0220] Then there is

[0221] F 动磁，linear =F 动磁，linear+F 动磁，nonlinear

[0222]

[0223] F 1，linear F 2，linear F 1，nonlinear F 1，nonlinear Substitute F respectively 动磁，linear and F 动磁，nonlinear The calculations are as follows:

[0224]

[0225] because

[0226]

[0227]

[0228] Therefore:

[0229]

[0230] Similarly, calculate F. 动磁，nonlinear ,

[0231]

[0232] Therefore, the net force on the moving magnet, which acts as the moving part, is:

[0233]

[0234] From the above derivation process, the following characteristics can be observed:

[0235] 1) In the linear term of the resultant force F 动磁，linear In the middle, the component force F 1，linear and F 2，linear The linear terms of each individual are superimposed to form the resultant linear term F. 动磁，linear The coefficient of the coil current is larger.

[0236] 2) In the resultant nonlinear term F 动磁，nonlinear In the middle, the component force F 1，nonlinear and F 2，nonlinear Their respective nonlinear terms cancel each other out, thus the resultant nonlinear term F 动磁，nonlinear It is zero.

[0237] We call the above design method the design method of a moving-magnet oscillator with nonlinear term cancellation. This method can be used not only to design oscillators, but also to design brakes. The moving-magnet oscillator or brake obtained by the above method is also called a moving-magnet oscillator device or brake with nonlinear term cancellation.

[0238] Example 5

[0239] Please refer to Figure 11-15 The design method for a moving-magnet oscillator with nonlinear terms canceled out includes the following conditions:

[0240] (1): A moving magnetic oscillator body 11 is provided. The moving magnetic oscillator body 11 includes an outer cylinder 1, a vibration transmission plate 10, a stator assembly and a moving part assembly. The stator assembly includes a coil assembly structure. The moving part assembly includes a magnet assembly structure. The coil assembly structure includes a coil 7 and a first magnetic conductor 5. The magnet assembly structure includes a permanent magnet 3 and a second magnetic conductor 2. The coil assembly structure is fixed inside the outer cylinder 1. The vibration transmission plate 10 is fixed on the outer cylinder 1. The moving part assembly and the vibration transmission plate 10 are fixedly connected through at least one point. The moving part assembly moves while the stator assembly does not move. The moving part assembly is called a moving component.

[0241] (2): The moving part is simultaneously subjected to electromagnetic forces of two pairs of push and pull forces, exhibiting a push-pull structural feature.

[0242] The moving magnet type oscillator body 11 has 2N magnetic domains D designed in pairs. 1,i and D 2,i N is 1, 2, 3, ..., 100, i = 1, 2, 3, ...;

[0243] The number of permanent magnets in the magnet combination structure and the number of coils in the coil combination structure are limited, with the number of permanent magnets being N. 磁 The number of coils is N 圈 , making N 磁 >N 圈 Or N 磁 <N 圈 N 磁 For 1, 2, 3, ..., 100; N 圈 The range is 1, 2, 3, ..., 100.

[0244] In the push-pull structure, the linear terms of the electromagnetic force on the moving component are superimposed and increase, while the nonlinear terms of the electromagnetic force on the moving component are partially or completely canceled out and decrease.

[0245] In the coil assembly structure, the closed curve of the main magnetic field lines of the coil and in the magnet assembly structure, the closed curve of the main magnetic field lines of the permanent magnet respectively traverse the magnetic domain D. 1,i and D 2,i A magnetic field is a spatial region filled with electromagnetic energy, generally composed of air or a medium with low magnetic permeability (e.g., relative permeability <1000), including the region where the magnetic material is located; and within the magnetic field D... 1,i In the coil, the direction of the magnetic field lines is the same as that of the permanent magnet, while in the magnetic domain D...2,i In the coil, the direction of the magnetic field lines is opposite to the direction of the magnetic field lines of the permanent magnet; or in the magnetic domain D 1,i In the coil, the direction of the magnetic field lines is opposite to the direction of the magnetic field lines of the permanent magnet, while in the magnetic domain D... 2,i In this configuration, the direction of the magnetic field lines of the coil is the same as the direction of the magnetic field lines of the permanent magnet.

[0246] The number of permanent magnets 3 and coils 7 is limited, with 1 permanent magnet 3 and 2 coils.

[0247] The moving magnet oscillator body 11 has four magnetic domains D arranged in pairs symmetrically. 1,1 D 2,1 D 1,2 and D 2,2 The closed curves of the main magnetic field lines of the coil 7 and the closed curves of the main magnetic field lines of the permanent magnet 3 respectively cross the magnetic domain D. 1,1 D 2,1 D 1,2 and D 2,2 And in the magnetic domain D 1,1 In the magnetic field, the direction of the magnetic field lines of the coil 7 is opposite to that of the permanent magnet 3, while in the magnetic domain D... 2,1 The direction of the magnetic field lines of the coil 7 is the same as the direction of the magnetic field lines of the permanent magnet 3;

[0248] The moving component is subjected to four forces; each force comprises two parts, one being a linear term of the excitation current i and the other being a nonlinear term of the excitation current i:

[0249] F 动磁,n (i)=F 动磁,n,linear (i)+F 动磁,n,nonlinear (i), where n = 1, 2, 3, ..., 2N-1, 2N;

[0250] The resultant force on the moving part also consists of two parts: a linear term of current i and a nonlinear term of current i.

[0251] F 动磁,合力 (i)=F 动磁,合力,linear (i)+F 动磁,合力,nonlinear (i)

[0252] in:

[0253]

[0254]

[0255]

[0256] That is, the nonlinear terms in each component force partially or completely cancel each other out, resulting in the final total resultant force ∑. i (F 1,i +F 2,i In this process, the total resultant force partially or completely cancels out the nonlinear term of the current, while the linear terms are superimposed and increase, thus obtaining a moving magnet oscillator with the nonlinear term canceled out.

[0257] The moving part assembly and the stator assembly are arranged in an alternating, interlocking pattern. The closed curves of the main magnetic field lines of the coil 7 and the closed curves of the main magnetic field lines of the permanent magnet 3 alternately pass through the moving part assembly and the stator assembly, respectively.

[0258] It also includes the following conditions:

[0259] (3.1): Looking outward from the center, the coil 7 is inside and the permanent magnet 3 is outside;

[0260] (3.2):N 圈 =2; n is a natural number, n=1;

[0261] (3.3): When N 圈 When the value is greater than 1, the current in adjacent coils is in the opposite direction, and the electromagnetic fields of two adjacent coils and their two adjacent end faces have the same polarity.

[0262] A magnetic conductor is used near the outer cylinder 1 of the coil 7 to minimize the magnetic resistance of the magnetic circuit of the electromagnet 3 formed by the coil 7; the permanent magnets 3 in the magnet assembly are isolated by a magnetic conductor; a yoke is used around the coil 7 and the permanent magnets 3, or a magnetic outer cylinder is used for the coil assembly structure and the outer cylinder 1 near the coil.

[0263] Example 6

[0264] Please refer to Figure 11-15The nonlinear term cancellation moving magnet oscillator device designed using the method of Embodiment 5 includes a moving magnet oscillator body 11. The moving magnet oscillator body 11 includes an outer cylinder 1, a transmission plate 10, a stator assembly, and a mover assembly. The stator assembly includes a coil assembly structure, and the mover assembly includes a magnet assembly structure. The coil assembly structure includes a coil 7 and a first magnetic conductor 9. The magnet assembly structure includes a permanent magnet 3 and a first magnetic conductor 2. The coil assembly structure also includes a first magnetic conductor ring 4 and a second magnetic conductor ring 5. Viewed from the center outward, the coil 7 is inside, and the permanent magnet 3 is outside. There is one permanent magnet 3 and two coils 7. The current directions in adjacent coils 7 are opposite. The electromagnetic field polarities of the two adjacent end faces of two adjacent coils 7 are the same. One transmission plate 10 is provided and fixed to the top surface of the outer cylinder 1. The first... One end of the magnetic conductor 9 is fixed to the bottom surface of the outer cylinder 1. Two coils 7 are fixed around the first magnetic conductor 9. A second magnetic ring 5 is fixed to one end of the first magnetic conductor 9. The first magnetic ring 4 is fixed around the middle of the first magnetic conductor 9 and located between the two coils 7. The vibration transmission bracket 8 is L-shaped, and the horizontal part of the vibration transmission bracket 8 is parallel to the vibration direction. The permanent magnet 3 is fixed in the middle of the horizontal part of the vibration transmission bracket 8. The second magnetic conductor 2 is located on both sides of the permanent magnet 3 and fixed on the horizontal part of the vibration transmission bracket 8. The moving part assembly and the stator assembly are arranged in an alternating concave-convex interlocking shape. The closed curves of the main magnetic lines of force of the coils 7 and the closed curves of the main magnetic lines of force of the permanent magnet 3 alternately pass through the moving part assembly and the stator assembly, respectively. The moving magnetic oscillator body has four magnetic domains D designed symmetrically in pairs inside. 1,1 D 2,1、 D 1,2 D 2,2 , where D 1,1 and D 2,1 Symmetry, D 1,2 and D 2,2 Symmetrical, the closed curves of the main magnetic field lines of the coil 7 and the closed curves of the main magnetic field lines of the permanent magnet 3 respectively cross the magnetic domain D. 1,1 D 2,1、 D 1,2 D 2,2 In the magnetic domain D 1,1 In the magnetic field, the direction of the magnetic field lines of the coil 7 is opposite to that of the permanent magnet 3, while in the magnetic domain D... 2,1 In this configuration, the magnetic field lines of the coil 7 are in the same direction as the magnetic field lines of the permanent magnet 3.

[0265] To further illustrate the design method of the moving-magnet oscillator with nonlinear term cancellation, please refer to the appendix. Figure 11-13 The magnetic field domain D is formed by four air gaps. 1,1 D2,1 D 1,2 D 2,2 Within the magnetic field domain, the total magnetic flux / magnetic induction intensity generated by the superposition of the magnetic field generated by the permanent magnet 3 and the electromagnet of the coil 7 causes the components surrounding the magnetic field to interact with each other. The magnetic field D above... 1,1 D 2,1 D 1,2 D 2,2 Both are composed of stator and mover components, and therefore, in these magnetic domains, there will be interactive forces between the stator and mover components.

[0266] The current through coil C1 is i1, the current through coil C2 is i2, and the corresponding magnetic fluxes of the coils are Φ and Φ, respectively. i1 and Φ i2 The magnetic flux corresponding to the permanent magnet M1 is Φ. M1 .

[0267] Magnetic domain D 1,1 D 2,1 D 1,2 D 2,2 Magnetic fields can be paired in pairs according to the symmetry case for D j =(D 1,j D 2,j ), j = 1, 2; including magnetic field pairs D1 = (D 1,1 D 2,1 ), and magnetic field pair D2=(D 1,2 D 2,2 ).

[0268] 1) Magnetic domain to D j =(D 1,j D 2,j When j=1, that is, the magnetic field pair D1=(D 1,1 D 2,1 ) magnetic flux

[0269] In magnetic domain D 1,1 In the magnetic field, the direction of the magnetic field lines corresponding to coil C1 is opposite to the direction of the magnetic field lines corresponding to permanent magnet M1. Therefore, in the magnetic field domain D... 1,1 In the middle, the total magnetic flux is Φ i1 and Φ M1 =Φ m The difference. In the magnetic domain D 2,1 In the magnetic field, the direction of the magnetic field lines corresponding to coil C2 is the same as the direction of the magnetic field lines corresponding to permanent magnet M1. Therefore, in the magnetic domain D... 2,1 In the middle, the total magnetic flux is Φ i2 and Φ M1 =Φ m The added value.

[0270] Assume i1 = i2 = i, Φ i1 =Φ i2 =Φ i If the magnetic field lines of magnet M1 are in the positive direction and the magnetic flux is also positive, then:

[0271] Φ D1,1 =Φ M1 -Φ i1 =Φ m -Φ i

[0272] Φ D2,1 =Φ M1 +Φ i2 =Φ m +Φ i

[0273] 2) Magnetic domain to D j =(D 1,j D 2,j When i = 2, that is, the magnetic field pair (D) 1,2 D 2,2 ) magnetic flux

[0274] In magnetic domain D 1,2 In the middle, only the magnetic field lines corresponding to coil C1 pass through, therefore the total magnetic flux is only Φ. i1 =Φ i In the magnetic domain D 2,2 In the middle, only the magnetic field lines corresponding to coil C2 pass through, therefore the total magnetic flux is only Φ. i2 =Φ i .

[0275] Assume that the magnetic reluctance of the magnetic circuit formed by the electromagnetic field generated by the current i in coils C1 and C2 is Z. i Let N be the number of turns in coils C1 and C2, and i be the current intensity. Then we have:

[0276]

[0277] Assume the permeability of the magnetic circuit formed by the electromagnetic field generated by the current is G. i Then we have:

[0278]

[0279] The magnetic flux corresponding to permanent magnet 3 can also be expressed using the formula for magnetic induction intensity. Assume the magnetic induction intensities at the extreme ends of permanent magnet M1 are B... m The area of ​​the magnetic pole end is S. m It can be obtained that...

[0280] Therefore,

[0281]

[0282]

[0283] Please refer to the appendix. Figure 12 , attached Figure 12 The diagram shows the closed magnetic field lines of coils C1 and C2, as well as the closed magnetic field line of magnet M1. In the diagram, the closed magnetic field lines generated by coil C1 pass through the magnetic gap D. 1,1 D 1,2 The closed magnetic field lines generated by coil C2 pass through the magnetic gap D. 2,1 D 2,2 The closed magnetic field lines generated by magnet M1 pass through the magnetic gap D in sequence. 1,1 D 2,1 .

[0284] Please refer to the appendix. Figure 14 , attached Figure 14 It is a moving component, magnetic domain D 1,1 D 2,1 D 1,2 D 2,2 Relationship diagram with stator assembly. In magnetic domain D 1,1 The moving part is subjected to a leftward attractive force F from the stator assembly. 1,1 In the magnetic domain D 2,1 The drive assembly is subjected to a rightward attractive force F from the stator assembly. 2,1 In the magnetic domain D 1,2 The drive assembly is subjected to a rightward attractive force F from the stator assembly. 1,2 In the magnetic domain D 2,2 The moving part is subjected to a leftward attractive force F from the stator assembly. 2,2 .

[0285] Assuming magnetic field pair D j =(D 1,j D 2,j The resultant force corresponding to this is F. j (The positive and negative signs indicate different directions of the force). Taking the rightward direction as positive, the resultant force of the stator assembly on the mover assembly is...

[0286] F 动磁 =F1+F2=F 1,1 -F 2,1 -F 1,2 +F 2,2

[0287] F 动磁 =F1+F 2＝ (F 1,1 -F 2,1 )+(-F 1,2 +F 2,2 )

[0288] Where F j It corresponds to the magnetic field pair D j =(D 1,j D 2,j The combined force of ).

[0289] Please refer to the appendix. Figure 15 , attached Figure 15 This is a force analysis diagram isolated from the mover assembly. The mover assembly is subjected to a component force F from the stator assembly. 1,1 F 2,1 F 1,2 F 2,2 Their combined force is:

[0290] F_movable magnetism = F1 + F2 = (F_movable magnetism) 1,1 -F 2,1 )+(-F 1,2 +F 2,2 )

[0291] The above can also be expressed as follows: the direction of the force is reflected in the sign of the component forces, as shown below:

[0292]

[0293] Each component force is divided into pairs of paired magnetic domains, each corresponding to a different magnetic domain pair D. j The resultant force of the component forces, for example, F1 = F 1,1 -F 2,1 And F2 = -F 1,2 +F 2,2 Then calculate the total resultant force.

[0294] Further derive the formulas for the electromagnetic forces generated in each magnetic domain. The electromagnetic attraction acting on a magnetized ferromagnetic object is proportional to the total area of ​​the magnetic field lines passing through the magnetic poles and the square of the magnetic flux density. If the magnetic flux density B is uniformly distributed along the surface of the magnetic poles, and the calculated air gap length is small, then the formula for calculating the electromagnetic attraction is Maxwell's formula, and its expression is:

[0295]

[0296] F: Electromagnetic attraction

[0297] B: Magnetic flux density or magnetic induction intensity

[0298] Magnetic flux through a medium

[0299] S: Area of ​​magnetic field lines crossing magnetic poles

[0300] μ0: Air permeability

[0301] C: The correlation coefficient between the combination type and shape of the magnetic end faces, which has different values ​​for different scenarios. If it is the force generated between permanent magnets, it is denoted as C. m2m The value is usually taken as 1, and the accurate value is obtained through actual measurement during the design process; if the force between the permanent magnet and the conductive magnet (yoke) is..., then C... m2y The value is usually taken as 1 / 2, and the accurate value is obtained through actual measurement during the design process; if it is the force between the magnetic conductor (yoke) and the magnetic conductor (yoke), it is denoted as C. y2y It is usually taken as 1 / 4, and the accurate value is obtained through actual measurement during the design process.

[0302] 1)F j, The calculation for j=1 corresponds to the magnetic field pair D. j =(D 1,j D 2,j ), j=1

[0303] Corresponding magnetic field pair D1=(D 1,1 D 2,1 The resultant force of the component forces is F1 = F 1,1 -F 2,1 The above formula is used to calculate the magnetic field D above. 1,1 and magnetic field D 2,1 The electromagnetic attraction in the middle includes:

[0304]

[0305] Among them, S D1,1 S D2,1 They are magnetic domain D 1,1 and D 2,1 The area of ​​the corresponding annular end face, and S D1,1 =S D2,1 =S D Therefore:

[0306]

[0307]

[0308] Among them are:

[0309]

[0310]

[0311] because

[0312] F1 = F 1，1 -F 2，1

[0313] Then there is

[0314] F 1，linear =F 1，linear +F 1，nonlinear

[0315]

[0316] F 1，1，linear F 2，1，linear F 1，1，nonlinear F 1，1，nonlinear Substitute F respectively 1，linear and F 1，nonlinear The calculations are as follows:

[0317]

[0318] because

[0319]

[0320]

[0321] Therefore:

[0322]

[0323] Similarly, calculate F. 1，nonlinear ,

[0324]

[0325] Therefore, D1 = (D 1，1 D 2，1 The resultant force of the component forces is:

[0326]

[0327] 2)F j The calculation for j=2 corresponds to the magnetic field pair D. j =(D 1，j D 2，j ), j=2

[0328] Corresponding magnetic field pair D2=(D 1，2 D 2，2 The resultant force of the component forces is F2 = -F 1，2 +F 2，2 Calculate the magnetic field D above. 1，2 and magnetic field D 1，2 The electromagnetic attraction in the middle includes:

[0329]

[0330] Among them, S D1，2 SD2 2 are magnetic domains D 1，2 and D 2，2 The area of ​​the corresponding annular end face, and S D1，2 =S D2，2 =S D Therefore:

[0331]

[0332] Therefore,

[0333]

[0334] It can be obtained

[0335]

[0336] Because of the net force on the moving part

[0337] F 动磁 =F1+F2

[0338] F 动磁 =F 动磁，linear +F 动磁，nonlinear

[0339] all:

[0340]

[0341] F 动磁，nonlinear =F 1，nonlinear +F 2，nonlinear =0+0=0

[0342] From the above derivation process, the following characteristics can be observed:

[0343] 1. In the linear term of the resultant force F 动磁，linear In the middle, the component force F 1，linear and F 2，linear The linear terms of each individual are superimposed to form the resultant linear term F. 动磁，linear The relationship between the coil current and the coil current remains linear.

[0344] 2. In the nonlinear term F of the resultant force 动磁，nonlinear In the middle, the component force F 1，nonlinear and F 2，nonlinear Their respective nonlinear terms cancel each other out, thus the resultant nonlinear term F 动磁，nonlinear It is zero.

[0345] We call the above design method the design method of a moving-magnet oscillator with nonlinear term cancellation. This method can be used not only to design oscillators, but also to design brakes. The moving-magnet oscillator or brake obtained by the above method is also called a moving-magnet oscillator device or brake with nonlinear term cancellation.

[0346] Example 7

[0347] Please refer to Figure 16-20 The design method for a moving-magnet oscillator with nonlinear terms canceled out includes the following conditions:

[0348] (1): A moving magnetic oscillator body 11 is provided. The moving magnetic oscillator body 11 includes an outer cylinder 1, a transmission plate 9, a stator assembly and a mover assembly. The stator assembly includes a coil assembly structure. The mover assembly includes a magnet assembly structure. The coil assembly structure includes a coil 3 and a first magnetic conductor 4. The magnet assembly structure includes a permanent magnet 6 and a second magnetic conductor 5. The stator assembly is fixed inside the outer cylinder 1. The transmission plate 9 is fixed on the outer cylinder 1. The mover assembly and the transmission plate 9 are fixedly connected through at least one point. The mover assembly moves while the stator assembly does not move. The mover assembly is called a moving component.

[0349] (2): The moving part is simultaneously subjected to electromagnetic forces of two pairs of push and pull forces, exhibiting a push-pull structural feature.

[0350] The moving magnet type oscillator body 11 has 2N magnetic domains D designed in pairs. 1,i and D 2,i N is 1, 2, 3, ..., 100, i = 1, 2, 3, ...;

[0351] The number of permanent magnets in the magnet combination structure and the number of coils in the coil combination structure are limited, with the number of permanent magnets being N. 磁 The number of coils is N 圈 , making N 磁 >N 圈 Or N 磁 <N 圈 N 磁 For 1, 2, 3, ..., 100; N 圈 The range is 1, 2, 3, ..., 100.

[0352] In the push-pull structure, the linear terms of the electromagnetic force on the moving component are superimposed and increase, while the nonlinear terms of the electromagnetic force on the moving component are partially or completely canceled out and decrease.

[0353] In the coil assembly structure, the closed curve of the main magnetic field lines of the coil and in the magnet assembly structure, the closed curve of the main magnetic field lines of the permanent magnet respectively traverse the magnetic domain D. 1,i and D 2,i A magnetic field is a spatial region filled with electromagnetic energy, generally composed of air or a medium with low magnetic permeability (e.g., relative permeability <1000), including the region where the magnetic material is located; and within the magnetic field D... 1,iIn the coil, the direction of the magnetic field lines is the same as that of the permanent magnet, while in the magnetic domain D... 2，i In the coil, the direction of the magnetic field lines is opposite to the direction of the magnetic field lines of the permanent magnet; or in the magnetic domain D 1，i In the coil, the direction of the magnetic field lines is opposite to the direction of the magnetic field lines of the permanent magnet, while in the magnetic domain D... 2，i In this configuration, the direction of the magnetic field lines of the coil is the same as the direction of the magnetic field lines of the permanent magnet.

[0354] The number of permanent magnets 6 and coils 3 is limited, with 2 permanent magnets and 3 coils.

[0355] The moving magnet oscillator body 11 has 6 magnetic domains D arranged in pairs symmetrically. 1，1 D 2，1 D 1，2 D 2，2 D 1，3 D 2，3 Among them, magnetic domain D 1，1 With D 2，1 Symmetry, magnetic domain D 1，2 and D 2，2 Symmetry, D 1，3 and D 2，3 Symmetrical, the closed curves of the main magnetic field lines of the coil 3 and the closed curves of the main magnetic field lines of the permanent magnet 6 respectively cross the magnetic domain D. 1，1 D 2，1 D 1，2 D 2，2 D 1，3 and D 2，3 And in the magnetic domain D 1，1 In the magnetic field, the direction of the magnetic field lines of the coil 3 is opposite to that of the permanent magnet 6, while in the magnetic domain D... 2，1 In the above, the magnetic field lines of the coil 3 are in the same direction as the magnetic field lines of the permanent magnet 6, and in the magnetic domain D... 1，2 In the magnetic field, the direction of the magnetic field lines of the coil 3 is the same as that of the permanent magnet 6, while in the magnetic domain D... 2，2 In this configuration, the direction of the magnetic field lines of the coil 3 is opposite to the direction of the magnetic field lines of the permanent magnet 6.

[0356] The moving component is subjected to six forces; each force comprises two parts, one being a linear term of the excitation current i and the other a nonlinear term of the excitation current i:

[0357] F 动磁，n (i)=F 动磁，n，linear (i)+F 动磁，n，nonlinear (i), where n = 1, 2, 3, ..., 2N-1, 2N;

[0358] The resultant force on the moving part also consists of two parts: a linear term of current i and a nonlinear term of current i.

[0359] F 动磁，合力 (i)=F 动磁，合力，linear (i)+F 动磁，合力，nonlinear (i)

[0360] in:

[0361]

[0362]

[0363]

[0364] That is, the nonlinear terms in each component force partially or completely cancel each other out, resulting in the final total resultant force ∑. i (F 1,i +F 2,i In this process, the total resultant force partially or completely cancels out the nonlinear term of the current, while the linear terms are superimposed and increase, thus obtaining a moving magnet oscillator with the nonlinear term canceled out.

[0365] The moving part assembly and the stator assembly are arranged in an alternating, interlocking pattern. The closed curves of the main magnetic field lines of the coil 3 and the closed curves of the main magnetic field lines of the permanent magnet 6 alternately pass through the moving part assembly and the stator assembly, respectively.

[0366] It also includes the following conditions:

[0367] (3.1): Looking outward from the center, the coil 3 is on the outside and the permanent magnet is on the inside;

[0368] (3.2):N 圈 =3; N 磁 =2;

[0369] (3.3): When N 磁 When N > 1, the polarities of the two opposite end faces of the permanent magnet 6 are the same; when N 圈 When the value is greater than 1, the current in adjacent coil 3 is in the opposite direction, and the polarity of the electromagnetic field at the two adjacent end faces of two adjacent coils 3 is the same.

[0370] A magnetic conductor is used near the outer cylinder 1 of the coil 3 to minimize the magnetic resistance of the magnetic circuit of the electromagnet formed by the coil 3; a yoke is used around the coil 3 and the permanent magnet 6, or a magnetic outer cylinder is used for the coil assembly structure and the outer cylinder 1 near the coil.

[0371] Example 8

[0372] Please refer to Figure 16-20The nonlinear term cancellation moving magnet oscillator device designed using the method of Embodiment 7 includes a moving magnet oscillator body 11. The moving magnet oscillator body 11 includes an outer cylinder 1, a transmission plate 9, a stator assembly, and a mover assembly. The stator assembly includes a coil assembly structure, and the mover assembly includes a magnet assembly structure. The coil assembly structure includes a coil 3 and a first magnetic conductor 4. The magnet assembly structure includes a permanent magnet 6 and a second magnetic conductor 8. The coil assembly structure also includes a first magnetic ring 2. Viewed from the center outwards, the coil 3 is on the outside, and the permanent magnet 6 is on the inside. There are two permanent magnets 6, and the polarities of the two opposite end faces of adjacent permanent magnets 6 are the same. There are three coils 3, and the current directions in adjacent coils 3 are opposite. The electromagnetic field polarities of the two adjacent end faces of two adjacent coils 3 are the same. There are two transmission plates 9. The vibration transducer 9 is fixed to the top and bottom surfaces of the outer cylinder 1, respectively. Two permanent magnets 6 are fixed to both sides of the second magnetic conductor 8. Two permanent magnets 6 are fixed to the magnetic sleeve 5, which is fixed to the two vibration transducer 9. Three coils 3 are sequentially fixed to the inner wall of the outer cylinder 1. A first magnetic conductor 4 is fixed between adjacent coils 3, and a first magnetic ring 2 is fixed to the outside of each coil 3. Both the first magnetic conductor 4 and the first magnetic ring 2 are fixed to the inner wall of the outer cylinder 1. The moving part assembly and the stator assembly are arranged in a staggered, interlocking pattern. The closed curves of the main magnetic lines of force of the coils 3 and the permanent magnets 6 alternately pass through the moving part assembly and the stator assembly. The moving magnetic oscillator body 11 has six symmetrically designed magnetic domains D inside. 1,1 D 2,1 D 1,2 D 2,2 D 1,3 D 2,3 Among them, magnetic domain D 1,1 With D 2,1 Symmetry, magnetic domain D 1,2 and D 2,2 Symmetry, D 1,3 and D 2,3 Symmetrical, the closed curves of the main magnetic field lines of the coil 3 and the closed curves of the main magnetic field lines of the permanent magnet 6 respectively cross the magnetic domain D. 1,1 D 2,1 D 1,2 D 2,2 D 1,3 and D 2,3 And in the magnetic domain D 1,1 In the magnetic field, the direction of the magnetic field lines of the coil 3 is opposite to that of the permanent magnet 6, while in the magnetic domain D... 2,1 In the above, the magnetic field lines of the coil 3 are in the same direction as the magnetic field lines of the permanent magnet 6, and in the magnetic domain D... 1,2In the magnetic field, the direction of the magnetic field lines of the coil 3 is the same as that of the permanent magnet 6, while in the magnetic domain D... 2,2 In this case, the direction of the magnetic field lines of the coil 3 is opposite to the direction of the magnetic field lines of the permanent magnet 6.

[0373] Please refer to the appendix. Figure 17 , attached Figure 17 In the middle, there are six air gaps that form a magnetic field domain D. 1,1 D 2,1 D 1,2 D 2,2 D 1,3 D 2,3 Within the magnetic field domain, the total magnetic flux / magnetic induction intensity generated by the superposition of the magnetic field produced by the permanent magnet and the magnetic field produced by the coil electromagnet causes interaction forces to be generated in the components surrounding the magnetic field domain. The magnetic field D above... 1,1 D 2,1 D 1,2 D 2,2 D 1,3 D 2,3 Both are composed of stator and mover components, and therefore, in these magnetic domains, there will be interaction forces between the stator and mover components.

[0374] Please refer to the appendix. Figure 18 Draw the closed magnetic field lines of coils C1, C2, and C3, and the closed magnetic field lines of magnets M1 and M2. The closed magnetic field lines generated by coil C1 pass through the magnetic gap D. 1,2 D 1,3 The closed magnetic field lines generated by coil C2 pass through the magnetic gap D. 1,1 D 2,1 The closed magnetic field lines generated by coil C3 pass through the magnetic gap D. 2,2 D 2,3 The closed magnetic field lines generated by magnet M1 pass through the magnetic gap D in sequence. 1,1 D 1,2 The closed magnetic field lines generated by magnet M2 pass through the magnetic gap D in sequence. 2,1 D 2,2 .

[0375] Assume the currents through coils C1, C2, and C3 are i1, i2, and i3 respectively, and i1 = i2 = i3 = i. The corresponding magnetic flux of each coil is Φ. i1 , Φ i2 and Φ i3 For the sake of simplicity, assume Φ i1 =Φ i2 =Φ i3 =Φ i(Another possibility is that the number of turns N1, N2, and N3 of coils C1, C2, and C3 are such that N1 = N3 ≠ N2, or that the magnetic circuit structure of C1, C2, and C3 causes the reluctance of C2 to be different from that of C1 and C3, thus Φ i1 =Φ i3 ≠Φ i2 In this case, because it is still a symmetrical design, the conclusion that the nonlinear terms in the resultant force of the paired forces cancel each other out still holds. The magnetic fluxes corresponding to permanent magnets M1 and M2 are Φ M1 =Φ M2 =Φ m .

[0376] Magnetic domain D 1,1 D 2,1 D 1,2 D 2,2 D 1,3 D 2,3 We can group them in pairs according to the symmetry, D 1,1 D 2,1 It is the first pair of magnetic fields arranged symmetrically, D 1,2 D 2,2 It is the second pair of magnetic fields arranged symmetrically, D 1,3 D 2,3 It is the third pair of magnetic fields arranged symmetrically;

[0377] 1) Magnetic domain to D j =(D 1,j D 2,j ), j = 1;

[0378] In magnetic domain D 1,1 In the magnetic field, the direction of the magnetic field lines corresponding to coil C2 is opposite to the direction of the magnetic field lines corresponding to permanent magnet M1. Therefore, in the magnetic field domain D... 1,1 In the middle, the total magnetic flux is Φ i1 and Φ M1 =Φ m The difference. In the magnetic domain D 2,1 In the magnetic field, the direction of the magnetic field lines corresponding to coil C2 is the same as the direction of the magnetic field lines corresponding to permanent magnet M2. Therefore, in the magnetic field domain D... 2,1 In the middle, the total magnetic flux is Φ i2 and Φ M2 =Φ m The added value.

[0379] Assume i1 = i2 = i3 = i, Φ i1 =Φ i3 ≠Φ i2 Assuming that the magnetic field lines of the permanent magnet are in the positive direction and the magnetic flux is also positive in each magnetic domain, then we have

[0380] Φ D1,1 =ΦM1 -Φ i2 =Φ m -Φ i2

[0381] Φ D2,1 =Φ M2 +Φ i2 =Φ m +Φ i2

[0382] 2) Magnetic domain to D j =(D 1,j D 2,j ), j=2

[0383] In magnetic domain D 1,2 In the magnetic field, the direction of the magnetic field lines corresponding to coil C1 is the same as the direction of the magnetic field lines corresponding to permanent magnet M1. Therefore, in the magnetic domain D... 1,2 In the middle, the total magnetic flux is Φ i1 =Φ i3 and Φ M1 =Φ m The added value. In the magnetic domain D 2,2 In the magnetic field, the direction of the magnetic field lines corresponding to coil C3 is opposite to the direction of the magnetic field lines corresponding to permanent magnet M2. Therefore, in the magnetic field domain D... 2,2 In the middle, the total magnetic flux is Φ i3 =Φ i1 and Φ M2 =Φ m The difference.

[0384] Assume i1 = i2 = i3 = i, Φ i1 =Φ i3 ≠Φ i2 Assuming that the magnetic field lines of the permanent magnet are in the positive direction and the magnetic flux is also positive in each magnetic domain, then we have

[0385] Φ D1,2 =Φ M1 +Φ i1 =Φ m +Φ i1

[0386] Φ D2,2 =Φ M1 -Φ i3 =Φ m -Φ i1

[0387] 3) Magnetic domain to D j =(D 1,j D 2,j ), j=3

[0388] In magnetic domain D 1,3In the middle, only the magnetic field lines corresponding to coil C1 pass through, therefore the total magnetic flux is only Φ. i1 In the magnetic domain D 2,3 In the middle, only the magnetic field lines corresponding to coil C3 pass through, therefore the total magnetic flux is only Φ. i3 =Φ i1 .

[0389] Assume that the magnetic reluctance of the magnetic circuit formed by the electromagnetic field generated by the current i in coils C1, C2, and C3 is Z. i Let N be the number of turns in coils C1, C2, and C3, and i be the current intensity. Then:

[0390]

[0391] Assume the permeability of the magnetic circuit formed by the electromagnetic field generated by the current is G. i Then we have:

[0392]

[0393] Another possibility is that the number of turns N1, N2, and N3 of coils C1, C2, and C3 are such that N1 = N3 ≠ N2, or that the magnetic circuit structure of C1, C2, and C3 causes the reluctance of C2 to be different from that of C1 and C3, i.e., G i,1 =G i,3 ≠G i,2 , thus Φ i1 =Φ i3 ≠Φ i2 In this case, because it is still a symmetrical design, the conclusion that the nonlinear terms in the resultant force of the paired forces cancel each other out still holds. Therefore:

[0394]

[0395]

[0396] The magnetic flux of a permanent magnet can also be expressed using the formula for magnetic induction intensity. Assume that the magnetic induction intensity at the extreme ends of permanent magnets M1 and M2 is both B. m The area of ​​the magnetic pole end is S. m It can be obtained that...

[0397] Therefore,

[0398]

[0399]

[0400]

[0401] In another scenario: the number of turns N1, N2, and N3 of coils C1, C2, and C3 are such that N1 = N3 ≠ N2, or the magnetic circuit structure of C1, C2, and C3 causes the reluctance of C2 to be different from that of C1 and C3, i.e., G i,1 =G i,3 ≠G i,2 , thus Φ i1 =Φ i3 ≠Φ i2 The formula above becomes:

[0402]

[0403]

[0404]

[0405] As can be seen from the formula above, when N1 = N3, G i,1 =G i,3 Then the magnetic field pair D2=(D 1,2 D 2,2 ), and magnetic field pair D1=(D 1,1 D 2,1 ), D3=(D 1,3 D 2,3 The magnetic flux in the force still possesses the property that the nonlinear terms of the current in the corresponding component force can be canceled out.

[0406] Please refer to the appendix. Figure 19 , attached Figure 19 It is a moving component, magnetic domain D 1,1 D 2,1 D 1,2 D 2,2 D 1,3 D 2,3 Relationship diagram with stator assembly. In magnetic domain D 1,1 The moving part is subjected to a leftward attractive force F from the stator assembly. 1,1 In the magnetic domain D 2,1 The drive assembly is subjected to a rightward attractive force F from the stator assembly. 2,1 In the magnetic domain D 1,2 The drive assembly is subjected to a rightward attractive force F from the stator assembly. 1,2 In the magnetic domain D 2,2 The moving part is subjected to a leftward attractive force F from the stator assembly. 2,2 In the magnetic domain D 1,3 The moving part is subjected to a leftward attractive force F from the stator assembly. 1,3 In the magnetic domain D 2,3 The drive assembly is subjected to a rightward attractive force F from the stator assembly. 2,3 Define the magnetic field pair Dj =(D 1,j D 2,j The resultant force corresponding to this magnetic field is the force exerted by the magnetic field on D. j The corresponding resultant force F j =F 1,j +F 2,j Assuming rightward is the positive direction, then when F... 1,j and F 2,j When the direction is to the right, then F 1,j and F 2,j If the sign in F is positive, then when F 1,j and F 2,j When the direction is to the left, then F 1,j and F 2,j The sign in the equation is negative. Therefore, the net force on the moving component from the stator component is:

[0407] F 动磁 =F1+F2+F3=-F 1,1 +F 2,1 +F 1,2 -F 2,2 +-F 1,3 +F 2,3

[0408] F 动磁 =F1+F2+F3=(-F 1,1 +F 2,1 )+(F 1,2 -F 2,2 )+(-F 1,3 +F 2,3 )

[0409] F above j Corresponding magnetic field pair D j =(D 1,j D 2,j The resultant force of the component forces that generate forces on the moving part component.

[0410] The above is a force analysis diagram isolated from the mover assembly. The mover assembly is subjected to a component force F from the stator assembly. 1,1 F 2,1 F 1,2 F 2,2 F 1,3 F 2,3 When performing calculations, according to the magnetic domain of D j =(D 1,j D 2,j First, calculate F. j Then calculate the resultant force of the moving part assembly, which is:

[0411] F 动磁 =F1+F2+F3=(-F 1,1+F 2,1 )+(F 1,2 -F 2,2 )+(-F 1,3 +F 2,3 )

[0412] The above can also be expressed as follows: assuming that the algebraic signs of the component forces simultaneously indicate the direction of the force through positive and negative signs, then:

[0413]

[0414] We first calculate the resultant force of the component forces generated in each pair of paired magnetic domains, that is, we calculate the resultant force of each pair of magnetic domains D1 = (D 1,1 D 2,1 The resultant force F1 = -F 1,1 +F 2,1 Magnetic domain pair D2=(D 1,2 D 2,2 The resultant force F1 = F 1,2 -F 2,2 Magnetic domain pair D3=(D 1,3 D 2,3 The resultant force F3 = -F 1,3 +F 2,3 Then calculate the total resultant force.

[0415] First, derive the formula for the electromagnetic force generated in each magnetic field. The magnitude of the electromagnetic attraction acting on a magnetized ferromagnetic object is proportional to the total area of ​​the magnetic field lines passing through the magnetic poles and the square of the magnetic flux density. If the magnetic flux density B is uniformly distributed along the surface of the magnetic poles, and the calculated air gap length is small, then the formula for calculating the electromagnetic attraction is Maxwell's formula, and its expression is:

[0416]

[0417] F: Electromagnetic attraction

[0418] B: Magnetic flux density or magnetic induction intensity

[0419] Magnetic flux through a medium

[0420] S: Area of ​​magnetic field lines crossing magnetic poles

[0421] μ0: Air permeability

[0422] C: The correlation coefficient between the combination type and shape of the magnetic end faces, which has different values ​​for different scenarios. If it is the force generated between permanent magnets, then C... m2mThe value is usually taken as 1, and the accurate value is obtained through actual measurement during the design process; if the force between the permanent magnet and the conductive magnet (yoke) is..., then C... m2y The value is usually taken as 1 / 2, and the accurate value is obtained through actual measurement during the design process; if it is the force between the magnetic conductor (yoke) and the magnetic conductor (yoke), it is denoted as C. y2y It is usually taken as 1 / 4, and the accurate value is obtained through actual measurement during the design process.

[0423] 1) Magnetic domain to D j =(D 1,j D 2,j When j=1, that is, D1=(D 1, D 2,1 The corresponding resultant force F1 = -F 1,1 +F 2,1

[0424] The above formula is used to calculate the magnetic field D above. 1,1 and magnetic field D 2,1 The electromagnetic attraction in the middle includes:

[0425]

[0426] Among them, S D1,1 S D2,1 They are magnetic domain D 1,1 and D 2,1 The area of ​​the corresponding annular end face, and S D1,1 =S D2,1 =S D1 Therefore:

[0427]

[0428]

[0429] Among them are:

[0430]

[0431]

[0432] because

[0433] F1 = -F 1，1 +F 2，1

[0434] Then there is

[0435] F 1，linear =F 1，linear +F 1，nonlinear

[0436]

[0437] F 1，1，linear F 2，1，linear F 1，1，nonlinear F 1，1，nonlinear Substitute F respectively 1，linear and F 1，nonlinear The calculations are as follows:

[0438]

[0439]

[0440] because

[0441]

[0442]

[0443] Therefore:

[0444]

[0445] Similarly, calculate F. 1，nonlinear ,

[0446]

[0447] Thus, the magnetic field affects D 1，1 and D 2，1 The corresponding resultant force is:

[0448]

[0449] 2) Magnetic domain to D j =(D 1，j D 2，j When j=2, that is, D2=(D 1，2 D 2，2 The corresponding resultant force F2 = F 1，2 -F 2，2 ;

[0450] The above formula is used to calculate the magnetic field D above. 1，2 and magnetic field D 2，2 The electromagnetic attraction in the middle includes:

[0451]

[0452] Among them, S D1,2 S D2,2 They are magnetic domain D 1,2 and D 2,2 The area of ​​the corresponding annular end face, and S D1,2 =S D2,2 =S D2 Therefore:

[0453]

[0454]

[0455] Among them are:

[0456]

[0457]

[0458] because

[0459] F2 = F 1,2 -F 2,2

[0460] Then there is

[0461] F 2,linear =F 2,linear +F 2,nonlinear

[0462]

[0463] F 1，1，linear F 2，1，linear F 1，1，nonlinear F 1，1，nonlinear Substitute F respectively 1，linear and F 1，nonlinear The calculations are as follows:

[0464]

[0465] because

[0466]

[0467]

[0468] Therefore:

[0469]

[0470] Similarly, calculate F. 2，nonlinear ,

[0471]

[0472] Thus, the magnetic field affects D 1，1 and D 2，1 The corresponding resultant force is:

[0473]

[0474]

[0475] 3) Magnetic domain pair (D 1，j D 2，j When j=3, that is, D3=(D 1，3 D 2，3 The corresponding resultant force F3 = -F 1，3 +F 2，3

[0476] Calculate the magnetic field D above 1，3 and magnetic field D 1，3 The electromagnetic attraction in the middle includes:

[0477]

[0478] Among them, S D1，3 S D2，3 They are magnetic domain D 1，3 and D 2，3 The area of ​​the corresponding annular end face, and S D1，3 =S D2，3 =S D3 Therefore:

[0479]

[0480] Therefore,

[0481]

[0482] It can be obtained

[0483]

[0484] 4) Calculate the resultant force on the moving part assembly.

[0485] F 动磁 =F1+F2+F3

[0486] F 动磁 =F 动磁，linear +F 动磁，nonlinear

[0487] all:

[0488]

[0489] F 动磁，nonlinear =F 1，nonlinear +F 2，nonlinear +F 3，nonlinear =0+0+0=0

[0490] From the above derivation process, the following characteristics can be observed:

[0491] 1. In the linear term of the resultant force F 动磁，linear In the middle, the magnetic field component force F 1，linear F 2，linearand F 3，linear The linear terms of each are superimposed to form the resultant linear term F. 动磁，limear The relationship between the coil current and the coil current remains linear.

[0492] 2. In the nonlinear term F of the resultant force 动磁，nonlinear In the middle, the magnetic field component force F 1，nonlinear F 2，nonlinear and F 3，nonlinear Their respective nonlinear terms cancel each other out, thus the resultant nonlinear term F 动磁，nonlinear It is zero.

[0493] We call the above design method the design method of a moving-magnet oscillator with nonlinear term cancellation. This method can be used not only to design oscillators, but also to design brakes. The moving-magnet oscillator or brake obtained by the above method is also called a moving-magnet oscillator device or brake with nonlinear term cancellation.

[0494] Example 9

[0495] The permanent magnets described in the nonlinear term cancellation moving magnet oscillators of Examples 1-8, or magnets that can be replaced with magnetic components, and coils that can be replaced with coil components, are all within the scope of protection of this patent.

[0496] A magnetic component: The overall magnetic field formed by a single magnet or a combination of multiple magnets (n>1) is equivalent to that of a single magnet. The magnetic field generated by the magnets in this combination is in the same direction as a dominant magnetic field (if the magnetic field strengths of the multiple magnets differ significantly, their magnetic field directions may be opposite, but the overall magnetic field direction is the same as the dominant magnetic field direction), thus the overall magnetic field generated can be considered equivalent to that produced by a single magnetic component. Magnets are typically connected by a rigid or flexible structural component (between magnets, at the edge of magnets, or around magnets), or even without a structural component, by means of bonding, welding, embedding, screws, screws, riveting, pins, clips, clamps, brackets, sleeves, caps, or other methods.

[0497] Coil assembly: The overall magnetic field generated by a single coil or an assembly of multiple coils (n turns > 1) is equivalent to the magnetic field generated by a single coil. The magnetic field generated by the coils in the assembly is in the same direction as the magnetic field generated by a dominant coil (if the magnetic field strengths of the multiple coils differ significantly, their directions may be opposite, but the overall magnetic field direction is the same as that of the dominant coil). Therefore, the overall magnetic field generated can be considered equivalent to the current generated in a single coil assembly. Coils are typically connected by a rigid or flexible structural component (between coils, at the edge of coils, or around coils), or even without a structural component, by bonding, welding, embedding, screws, screws, riveting, pins, clips, clamps, brackets, sleeves, caps, or other means.

[0498] To describe the magnet and coil components in detail, the following embodiments are provided for specific description.

[0499] The magnet 201 is used in the following embodiments;

[0500] Example 1 of magnet component 201:

[0501] Reference Figure 24 As shown; permanent magnets are connected in series in the direction of the magnetic field, with no structural components in between, and n_magnet = 2;

[0502] Permanent magnet 1 and permanent magnet 2 are connected by bonding, welding, riveting, pins, clamps, brackets, sleeves, or other methods. The magnetic fields generated by permanent magnet 1 and permanent magnet 2 are both oriented towards the Y+ axis, hence they are in the same direction. Therefore, the combination of permanent magnet 1 and permanent magnet 2, from the perspective of the overall external magnetic field direction, can be considered similar to (indicated by the "=" sign in the figure) to the single magnet on the right. The combination of permanent magnet 1 and permanent magnet 2 can be considered as a single magnet component 201.

[0503] Example 2 of magnet 201:

[0504] Reference Figure 25 As shown; permanent magnets are connected in series in the direction of the magnetic field, with no structural components in between, and n_magnet = 3;

[0505] Permanent magnets 1, 2, and 3 are connected by bonding, welding, riveting, pins, clamps, brackets, sleeves, or other means. The magnetic fields generated by permanent magnets 1, 2, and 3 are all oriented towards the Y+ axis, hence they are in the same direction. Therefore, the combination of permanent magnets 1, 2, and 3, from the perspective of the overall external magnetic field direction, can be considered similar to (indicated by the "=" sign in the diagram) to a single magnet on the right. The combination of permanent magnets 1, 2, and 3 can be considered as a single magnet component 201.

[0506] Embodiment 3 of magnet 201:

[0507] Reference Figure 26 As shown; permanent magnets are connected in series in the direction of the magnetic field, with a structural component in the middle, n_magnetic = 2;

[0508] A magnetic conductor is placed between permanent magnet 1 and permanent magnet 2. Permanent magnet 1 and the magnetic conductor, as well as permanent magnet 2 and the magnetic conductor, are connected by adhesive, welding, riveting, pins, clamps, brackets, sleeves, or other methods. The magnetic fields generated by permanent magnet 1 and permanent magnet 2 are both oriented towards the Y-axis + direction, hence they are in the same direction. Therefore, the combination of permanent magnet 1, the magnetic conductor, and permanent magnet 2, from the perspective of the overall external magnetic field direction, can be considered equivalent (indicated by the "=" sign in the diagram) to the single magnet on the right. The combination of permanent magnet 1, the magnetic conductor, and permanent magnet 2 can be considered as a single magnet component 201.

[0509] The magnetic conductor mentioned above can also be replaced with a non-magnetic conductor, or a magnet with a much weaker magnetic field strength but in the opposite direction. This will not affect the overall structure and can still be considered as a single permanent magnet. Therefore, this situation also includes this type.

[0510] Example 4 of magnet 201:

[0511] Reference Figure 27 As shown; permanent magnets are connected in series in the direction of the magnetic field, with no structural components in between, and n_magnet = 2;

[0512] Permanent magnet 1 and permanent magnet 2, with permanent magnet 1 being larger and permanent magnet 2 being smaller, are connected by bonding, welding, riveting, pins, clamps, brackets, sleeves, or other methods. The magnetic fields generated by permanent magnet 1 and permanent magnet 2 are both oriented towards the Y+ axis, hence they are in the same direction. Therefore, the combination of permanent magnet 1 and permanent magnet 2, from the perspective of the overall external magnetic field direction, can be considered similar to (indicated by the "=" sign in the diagram) to a single magnet on the right. The combination of permanent magnet 1 and permanent magnet 2 can be considered as a single magnet component 201.

[0513] Embodiment 5 of magnet 201:

[0514] Reference Figure 28 As shown; permanent magnets are connected in series in the direction of the magnetic field, with a structural component in the middle, n_magnetic = 2;

[0515] Permanent magnet 1 and permanent magnet 2, with permanent magnet 1 being larger and permanent magnet 2 being smaller, are connected by bonding, welding, riveting, pins, clamps, brackets, sleeves, or other methods. The magnetic fields generated by permanent magnet 1 and permanent magnet 2 are both oriented towards the Y+ axis, hence they are in the same direction. Therefore, the combination of permanent magnet 1 and permanent magnet 2, from the perspective of the overall external magnetic field direction, can be considered similar to (indicated by the "=" sign in the diagram) to a single magnet on the right. The combination of permanent magnet 1 and permanent magnet 2 can be considered as a single magnet component 201.

[0516] Example 6 of magnet 201:

[0517] Reference Figure 29 As shown; permanent magnets are combined in parallel along the magnetic field direction, with no structural components in between, and n_magnet = 2;

[0518] Permanent magnet 1 and permanent magnet 2 are connected by bonding, welding, riveting, pins, clamps, brackets, sleeves, or other methods. The magnetic fields generated by permanent magnet 1 and permanent magnet 2 are both oriented towards the Y+ axis, hence they are in the same direction. Therefore, the combination of permanent magnet 1 and permanent magnet 2, from the perspective of the overall external magnetic field direction, can be considered similar to (indicated by the "=" sign in the figure) to the single magnet on the right. The combination of permanent magnet 1 and permanent magnet 2 can be considered as a single magnet component 201.

[0519] Embodiment 7 of magnet 201:

[0520] Reference Figure 30 As shown; permanent magnets are combined in parallel along the magnetic field direction, with no structural components in between, and n_magnet = 3;

[0521] Permanent magnets 1, 2, and 3 are connected by bonding, welding, riveting, pins, clamps, brackets, sleeves, or other means. The magnetic fields generated by permanent magnets 1, 2, and 3 are all oriented towards the Y+ axis, hence they are in the same direction. Therefore, the combination of permanent magnets 1, 2, and 3, from the perspective of the overall external magnetic field direction, can be considered similar to (indicated by the "=" sign in the diagram) to a single magnet on the right. The combination of permanent magnets 1, 2, and 3 can be considered as a single magnet component 201.

[0522] Example 8 of magnet 201:

[0523] Reference Figure 31 As shown; permanent magnets are combined in series and parallel in the direction of the magnetic field, with no structural components in between, and n_magnet = 3;

[0524] Permanent magnets 1, 2, and 3, and magnetic plates 1 and 2 are connected by bonding, welding, riveting, pins, grippers, brackets, sleeves, or other means. The magnetic fields generated by permanent magnets 1, 2, and 3 are all oriented towards the Y+ axis. The magnetic fields of magnetic plates 1 and 2 after magnetization are also oriented towards the Y+ axis, so all directions are the same. Therefore, the combination of permanent magnets 1, 2, and 3, and magnetic plates 1 and 2, from the perspective of the overall external magnetic field direction, can be considered similar to (indicated by the "=" sign in the figure) to the single magnet on the right. The combination of permanent magnets 1, 2, and 3, and magnetic plates 1 and 2 can be considered as a single magnet component 201.

[0525] The magnetic plate on top can also be replaced with a non-magnetic plate, or a magnet with a much weaker magnetic field strength but in the opposite direction. This will not affect the overall structure and can still be considered as a single permanent magnet. Therefore, this situation also includes this type.

[0526] Example 9 of magnet 201:

[0527] Reference Figure 32 As shown; permanent magnets are combined in parallel along the magnetic field direction, with a structural component in between, n_magnetic = 2;

[0528] A magnetic conductor is placed between permanent magnet 1 and permanent magnet 2. Permanent magnet 1 and the magnetic conductor, as well as permanent magnet 2 and the magnetic conductor, are connected by adhesive, welding, riveting, pins, clamps, brackets, sleeves, or other methods. The magnetic fields generated by permanent magnet 1 and permanent magnet 2 are both oriented towards the Y-axis + direction, hence they are in the same direction. Therefore, the combination of permanent magnet 1, the magnetic conductor, and permanent magnet 2, from the perspective of the overall external magnetic field direction, can be considered equivalent (indicated by the "=" sign in the diagram) to the single magnet on the right. The combination of permanent magnet 1, the magnetic conductor, and permanent magnet 2 can be considered as a single magnet component 201.

[0529] The magnetic plate on top can also be replaced with a non-magnetic material, or a magnet with a much weaker magnetic field strength but in the opposite direction. This will not affect the overall structure and can still be considered as a single permanent magnet. Therefore, this type of situation also applies.

[0530] Example 10 of magnet 201:

[0531] Reference Figure 33 As shown; permanent magnets are combined in parallel along the magnetic field direction, with no structural components in between, and n_magnet = 2;

[0532] Permanent magnet 1 and permanent magnet 2 are connected by bonding, welding, riveting, pins, clamps, brackets, sleeves, or other methods. The magnetic fields generated by permanent magnet 1 and permanent magnet 2 are both oriented towards the Y+ axis, hence they are in the same direction. Therefore, the combination of permanent magnet 1 and permanent magnet 2, from the perspective of the overall external magnetic field direction, can be considered similar to (indicated by the "=" sign in the figure) to the single magnet on the right. The combination of permanent magnet 1 and permanent magnet 2 can be considered as a single magnet component 201.

[0533] Example 11 of magnet component 201:

[0534] Reference Figure 34 As shown; permanent magnets are combined in parallel along the magnetic field direction, with a structural component in between, n_magnetic = 2;

[0535] A magnetic conductor is placed between permanent magnet 1 and permanent magnet 2. Permanent magnet 1 and the magnetic conductor, as well as permanent magnet 2 and the magnetic conductor, are connected by adhesive, welding, riveting, pins, clamps, brackets, sleeves, or other methods. The magnetic fields generated by permanent magnet 1 and permanent magnet 2 are both oriented towards the Y-axis + direction, hence they are in the same direction. Therefore, the combination of permanent magnet 1, the magnetic conductor, and permanent magnet 2, from the perspective of the overall external magnetic field direction, can be considered equivalent (indicated by the "=" sign in the diagram) to the single magnet on the right. The combination of permanent magnet 1, the magnetic conductor, and permanent magnet 2 can be considered as a single magnet component 201.

[0536] The magnetic plate on top can also be replaced with a non-magnetic material, or a magnet with a much weaker magnetic field strength but in the opposite direction. This will not affect the overall structure and can still be considered as a single permanent magnet. Therefore, this type of situation also applies.

[0537] Example 12 of magnet component 201:

[0538] Reference Figure 35 As shown; permanent magnets are combined in parallel along the magnetic field direction, with no structural components in between, and n_magnet = 2;

[0539] Permanent magnet 1 (ring, circular ring, square ring, rectangular ring, etc.) and permanent magnet 2 (cylindrical, cylindrical, square prism, rectangular prism, etc.) are connected by bonding, welding, riveting, pins, clamps, brackets, sleeves, or other methods. The magnetic fields generated by permanent magnet 1 and permanent magnet 2 are both oriented towards the Y+ axis, hence they are in the same direction. Therefore, the combination of permanent magnet 1 and permanent magnet 2, from the perspective of the overall external magnetic field direction, can be considered similar to (indicated by the "=" sign in the figure) to the single magnet on the right. The combination of permanent magnet 1 and permanent magnet 2 can be considered as a single magnet component 201.

[0540] Example 13 of magnet component 201:

[0541] Reference Figure 36 As shown; permanent magnets are combined in parallel along the magnetic field direction, with a structural component in between, n_magnetic = 2;

[0542] A magnetically conductive ring 104 separates permanent magnet 1 (ring, circular ring, square ring, rectangular ring, etc.) and permanent magnet 2 (cylindrical, cylindrical, square prism, rectangular prism, etc.). Permanent magnet 1 and the magnetically conductive ring, as well as permanent magnet 2 and the magnetically conductive ring, are connected by adhesive, welding, riveting, pins, clamps, brackets, sleeves, or other methods. The magnetic fields generated by permanent magnet 1 and permanent magnet 2 are both oriented towards the Y-axis + direction, hence they are in the same direction. Therefore, the combination of permanent magnet 1, the magnetically conductive ring, and permanent magnet 2, from the perspective of the overall external magnetic field direction, can be considered equivalent (indicated by the "=" sign in the diagram) to the single magnet on the right. The combination of permanent magnet 1, the magnetically conductive ring, and permanent magnet 2 can be considered as a single magnetic component 201.

[0543] The magnetic ring above can also be replaced with a non-magnetic ring, or a reverse magnetic ring with a much weaker magnetic field strength. This will not affect the overall structure and can still be considered as a single permanent magnet. Therefore, this situation also includes this type.

[0544] Example fourteen of magnet component 201:

[0545] Reference Figure 37 As shown; permanent magnets are combined in parallel along the magnetic field direction, with no structural components in between, and n_magnetic = 2;

[0546] Permanent magnet 1 (ring, circular ring, square ring, rectangular ring, etc.) and permanent magnet 2 (ring, cylindrical, square prism, rectangular prism, etc.) are connected by bonding, welding, riveting, pins, clamps, brackets, sleeves, or other methods. The magnetic fields generated by permanent magnet 1 and permanent magnet 2 are both oriented towards the Y+ axis and have the same direction. Therefore, the combination of permanent magnet 1 and permanent magnet 2, from the perspective of the overall external magnetic field direction, can be considered similar to (indicated by the "=" sign in the figure) to the single magnet on the right. The combination of permanent magnet 1 and permanent magnet 2 can be considered as a single magnetic component 201. The core component in the figure can be air, a non-magnetic material, or a weakly magnetic material, such as a weakly magnetic pin.

[0547] Example 15 of magnet component 201:

[0548] Reference Figure 38 As shown; permanent magnets are combined in parallel along the magnetic field direction, with a structural component in between, n_magnetic = 2;

[0549] A magnetically conductive ring 104 separates permanent magnet 1 (ring, circular ring, square ring, rectangular ring, etc.) and permanent magnet 2 (cylindrical, cylindrical, square prism, rectangular prism, etc.). Permanent magnet 1 and the magnetically conductive ring, as well as permanent magnet 2 and the magnetically conductive ring, are connected by adhesive, welding, riveting, pins, clamps, brackets, sleeves, or other methods. The magnetic fields generated by permanent magnet 1 and permanent magnet 2 are both oriented towards the Y-axis + direction, hence they are in the same direction. Therefore, the combination of permanent magnet 1, the magnetically conductive ring, and permanent magnet 2, from the perspective of the overall external magnetic field direction, can be considered equivalent (indicated by the "=" sign in the diagram) to the single magnet on the right. The combination of permanent magnet 1, the magnetically conductive ring, and permanent magnet 2 can be considered as a single magnetic component 201.

[0550] The magnetic connecting ring above can also be replaced with a non-magnetic ring, or a reverse magnetic ring with a much weaker magnetic field strength. This will not affect the overall structure and can still be considered as a single permanent magnet. Therefore, this situation also includes this type.

[0551] Example sixteen of magnet component 201:

[0552] Reference Figure 39 As shown; permanent magnets are combined in series and parallel in the direction of the magnetic field, with no structural components in between, and n_magnet = 5;

[0553] Permanent magnets 1, 2, and 3 are connected in parallel by bonding, welding, riveting, pins, clamps, brackets, sleeves, or other means to form an equivalent magnet (magnet 1|magnet 2|magnet 3). This equivalent magnet (magnet 1|magnet 2|magnet 3) is then connected in series with permanent magnets 4 and 5 to form an equivalent magnet (magnet 4-(magnet 1|magnet 2|magnet 3)-magnet 5). The magnetic fields generated by the equivalent magnet (magnet 1|magnet 2|magnet 3), permanent magnet 4, and permanent magnet 5 are all oriented towards the Y+ axis, hence their directions are the same. Therefore, the magnet assembly (magnet 4-(magnet 1|magnet 2|magnet 3)-magnet 5), from the perspective of the overall external magnetic field direction, can be considered similar to (indicated by the "=" sign in the diagram) a single magnet on the right. The magnet assembly (magnet 4-(magnet 1|magnet 2|magnet 3)-magnet 5) can be considered as a single magnet component 201.

[0554] Example 17 of magnet component 201:

[0555] Reference Figure 40 As shown; permanent magnets are combined in series and parallel in the direction of the magnetic field, with no structural components in between, and n_magnet = 5;

[0556] Permanent magnets 1, 2, and 3 are connected in series by bonding, welding, riveting, pins, clamps, brackets, sleeves, or other means to form an equivalent magnet (Magnet 1-Magnet 2-Magnet 3). This equivalent magnet (Magnet 1-Magnet 2-Magnet 3) is then connected in parallel with permanent magnets 4 and 5 to form an equivalent magnet (Magnet 4|(Magnet 1-Magnet 2-Magnet 3)|Magnet 5). The magnetic fields generated by the equivalent magnet (Magnet 1-Magnet 2-Magnet 3), permanent magnets 4, and permanent magnet 5 are all oriented towards the Y+ axis, hence their directions are the same. Therefore, the magnet combination (Magnet 4|(Magnet 1-Magnet 2-Magnet 3)|Magnet 5), from the perspective of the overall external magnetic field direction, can be considered similar to (indicated by the "=" sign in the diagram) a single magnet on the right. The magnet combination (Magnet 4|(Magnet 1-Magnet 2-Magnet 3)|Magnet 5) can be considered as a single magnet component 201.

[0557] Example 18 of magnet component 201:

[0558] Reference Figure 40a As shown; permanent magnets are connected in series along the magnetic field direction, with no structural components in between, n_magnetic = 2.

[0559] Permanent magnet 1 and permanent magnet 2, with permanent magnet 1 being larger and permanent magnet 2 being smaller, are connected by bonding, welding, embedding, screws, screws, riveting, pins, clips, grippers, brackets, sleeves, caps, or other means. The magnetic field direction of permanent magnet 1 is towards the Y+ axis, and the magnetic field direction of permanent magnet 2 is towards the Y- axis. However, because the magnetic field strength of permanent magnet 2 is less than that of permanent magnet 1, the combination of permanent magnet 1 and permanent magnet 2, from the perspective of the overall external magnetic field direction, can still be considered similar to (indicated by the "=" sign in the figure) to a single magnet on the right. The combination of permanent magnet 1 and permanent magnet 2 can be considered as a single magnet component 201.

[0560] The coil component 102 is used in the following embodiments;

[0561] Embodiment 1 of coil component 102:

[0562] Reference Figure 41 As shown; coils are connected in series in the direction of the magnetic field, with no structural components in between, n turns = 2;

[0563] Coil 1 and coil 2 are connected by adhesive, brackets, sleeves, riveting, clamps, welding, or other methods. The magnetic fields generated by coil 1 and coil 2 are both oriented towards the Y+ axis, hence they are in the same direction. Therefore, the overall magnetic field generated by the combination of coil 1 and coil 2 can be viewed from the outside as similar to (indicated by the "=" sign in the figure) to the single coil on the right. The combination of coil 1 and coil 2 can be considered as a single coil component 102.

[0564] In the above embodiment, whether or not there is an iron core in the middle of the coil has no effect on the direction of the magnetic field generated by the coil current. Therefore, it does not affect the conclusion that the two coils above are connected in series to form a coil component 102.

[0565] In the diagram below, the coil current is indicated by a circle and a cross icon, following the standard coil current marking method. The circle icon (⊙) indicates that the current flows vertically inwards from the screen, while the dotted icon (⊙) indicates that the current flows vertically outwards from the screen.

[0566] Embodiment 2 of coil component 102:

[0567] Reference Figure 42 As shown; coils are connected in series in the direction of the magnetic field, with a sleeve around the perimeter, n turns = 2;

[0568] Coil 1 and coil 2 are connected by a sleeve (preferably made of a magnetically conductive material, but can also be made of a weakly magnetically conductive material, a non-magnetically conductive material, etc.). The magnetic fields generated by coil 1 and coil 2 are both oriented towards the Y+ axis, hence they are in the same direction. Therefore, the overall magnetic field generated by the combination of coil 1 and coil 2 can be viewed from the outside as being similar to (indicated by the "=" sign in the figure) to the single coil on the right. The combination of coil 1 and coil 2 can be considered as a single coil component 102.

[0569] Embodiment 3 of coil component 102:

[0570] Reference Figure 43 As shown; coils are connected in series in the direction of the magnetic field, with no structural components in between, n turns = 3;

[0571] Coil 1, coil 2, and coil 3 are connected by adhesive, brackets, sleeves, riveting, clamps, welding, or other methods. The magnetic fields generated by coils 1, 2, and 3 are all oriented towards the Y+ axis, hence they are in the same direction. Therefore, the overall magnetic field generated by the combination of coils 1, 2, and 3 can be viewed from the outside as being similar to (indicated by the "=" sign in the diagram) to the single coil on the right. The combination of coils 1, 2, and 3 can be considered as a single coil component 102.

[0572] Embodiment 4 of coil component 102:

[0573] Reference Figure 44 As shown; coils are connected in series in the direction of the magnetic field, with a structural component in the middle, n turns = 2;

[0574] A magnetic conductor is placed between coil 1 and coil 2. Coil 1 and the magnetic ring 104, as well as coil 2 and the magnetic ring 104, are connected by adhesive, brackets, sleeves, riveting, clamps, welding, or other methods. The magnetic fields generated by coil 1 and coil 2 are both oriented towards the Y-axis + direction, hence they are in the same direction. Therefore, the overall magnetic field generated by the combination of coil 1, magnetic ring 104, and coil 2, viewed from the outside, can be considered equivalent (indicated by the "=" sign in the figure) to the single coil on the right. The combination of coil 1, magnetic ring 104, and coil 2 can be considered as a single coil component 102.

[0575] The magnetic ring above can also be replaced with a non-magnetic ring, or a coil with a much smaller induced magnetic field strength in the opposite direction. This will not affect the overall structure and can still be considered as a single coil. Therefore, this situation also includes this type.

[0576] Embodiment 5 of coil component 102:

[0577] Reference Figure 45 As shown; coils are connected in series in the direction of the magnetic field, with no structural components in between, n turns = 2;

[0578] Coil 1 and coil 2, with coil 1 being larger and coil 2 smaller, are connected by adhesive, brackets, sleeves, riveting, clamps, welding, or other methods. The magnetic fields generated by coils 1 and 2 are both oriented towards the Y+ axis, hence they are in the same direction. Therefore, the overall magnetic field generated by the combination of coils 1 and 2 can be viewed externally as equivalent to the single coil on the right (indicated by the "=" sign in the diagram). The combination of coils 1 and 2 can be considered as a single coil component 102.

[0579] Embodiment Six of Coil Component 102:

[0580] Reference Figure 46 As shown; coils are connected in series in the direction of the magnetic field, with a structural component in the middle, n turns = 2;

[0581] Coil 1 and coil 2, with coil 1 being larger and coil 2 smaller, are connected by adhesive, brackets, sleeves, riveting, clamps, welding, or other methods. The magnetic fields generated by coils 1 and 2 are both oriented towards the Y+ axis, hence they are in the same direction. Therefore, the overall magnetic field generated by the combination of coils 1 and 2 can be viewed externally as equivalent to the single coil on the right (indicated by the "=" sign in the diagram). The combination of coils 1 and 2 can be considered as a single coil component 102.

[0582] The magnetic ring above can also be replaced with a non-magnetic ring, or a coil with a much smaller induced magnetic field strength in the opposite direction. This will not affect the overall structure and can still be considered as a single coil. Therefore, this situation also includes this type.

[0583] Embodiment 7 of coil component 102:

[0584] Reference Figure 47 As shown; coils are connected in parallel in the direction of the magnetic field, with no structural components in between, n turns = 2;

[0585] Coil 1 (outer coil) and coil 2 (inner coil) are connected by adhesive, brackets, sleeves, riveting, clamps, welding, or other methods. The magnetic fields generated by coil 1 and coil 2 are both oriented towards the Y+ axis, hence they are in the same direction. Therefore, the overall magnetic field generated by the combination of coil 1 and coil 2 can be viewed from the outside as similar to (indicated by the "=" sign in the diagram) to the single coil on the right. The combination of coil 1 and coil 2 can be considered as a single coil component 102.

[0586] Embodiment 8 of coil component 102:

[0587] Reference Figure 48 As shown; coils are connected in parallel in the direction of the magnetic field, with no structural components in between, n turns = 2;

[0588] Coil 1 (outer coil) and coil 2 (inner coil) are connected to the iron core by bonding, brackets, sleeves, riveting, clamps, welding, or other methods. The magnetic fields generated by coil 1 and coil 2 are both oriented towards the Y+ axis, hence they are in the same direction. Therefore, the overall magnetic field generated by the combination of coil 1, coil 2, and the iron core can be viewed from the outside as similar to (indicated by the "=" sign in the diagram) to the single coil on the right. The combination of coil 1, coil 2, and the iron core can be considered as a single coil component 102.

[0589] Embodiment Nine of Coil Component 102:

[0590] Reference Figure 49 As shown; coils are connected in parallel in the direction of the magnetic field, with no structural components in between, n turns = 3;

[0591] Coil 1, coil 2, and coil 3 are connected by adhesive, brackets, sleeves, riveting, clamps, welding, or other methods. The magnetic fields generated by coils 1, 2, and 3 are all oriented towards the Y+ axis, hence they are in the same direction. Therefore, the overall magnetic field generated by the combination of coils 1, 2, and 3 can be viewed from the outside as being similar to (indicated by the "=" sign in the diagram) to the single coil on the right. The combination of coils 1, 2, and 3 can be considered as a single coil component 102.

[0592] Embodiment 10 of coil component 102:

[0593] Reference Figure 50As shown; coils and coils are combined in parallel in the direction of the magnetic field, with no structural components in between, n turns = 3;

[0594] Coils 1, 2, and 3, and magnetic plates 1 and 2 are connected by adhesive, brackets, sleeves, riveting, clamps, welding, or other means. The magnetic fields generated by coils 1, 2, and 3 are all oriented towards the Y+ axis. The magnetic fields of magnetic plates 1 and 2 after magnetization are also oriented towards the Y+ axis, hence all directions are the same. Therefore, the overall magnetic field generated by the combination of coils 1, 2, and 3, and magnetic plates 1 and 2 can be externally considered equivalent to the single coil on the right (indicated by the "=" sign in the figure). The combination of coils 1, 2, and 3, and magnetic plates 1 and 2 can be considered as a single coil component 102.

[0595] The magnetic plate on top can also be replaced with a non-magnetic plate, or a magnet with a much weaker magnetic field strength but in the opposite direction. This will not affect the overall structure and can still be considered as a single coil. Therefore, this type of situation also applies.

[0596] Example 11 of coil component 102:

[0597] Reference Figure 51 As shown; coils are connected in parallel in the direction of the magnetic field, with a structural component in the middle, n turns = 2;

[0598] A spacer ring (preferably made of a magnetically conductive material, but can also be made of a weakly magnetically conductive material or a non-magnetically conductive material) separates coil 1 and coil 2. Coil 1 and the spacer ring, as well as coil 2 and the spacer ring, are connected by adhesive, brackets, sleeves, riveting, clamps, welding, or other methods. The magnetic fields generated by coil 1 and coil 2 are both oriented towards the Y-axis + direction, hence they are in the same direction. Therefore, the overall magnetic field generated by the combination of coil 1, the spacer ring, and coil 2 can be externally considered equivalent to (indicated by the "=" sign in the figure) to the single coil on the right. The combination of coil 1, the magnetic conductor, and coil 2 can be considered as a single coil component 102.

[0599] Embodiment Twelve of Coil Component 102:

[0600] Reference Figure 52 As shown; coils are combined in series and parallel in the direction of the magnetic field, with no structural components in between, n turns = 4;

[0601] Coil 1 and coil 2 are connected in parallel by bonding, brackets, sleeves, riveting, clamps, welding, or other methods to form an equivalent coil (coil 1|coil 2). This equivalent coil (coil 1|coil 2) is then connected in series with coils 3 and 4 to form an equivalent coil (coil 3-(coil 1|coil 2)-coil 4). The magnetic fields generated by the equivalent coil (coil 1|coil 2), coil 3, and coil 4 are all oriented towards the Y+ axis, hence their directions are the same. Therefore, the overall magnetic field direction generated by the coil combination (coil 3-(coil 1|coil 2)-coil 4) can be externally considered similar to (indicated by the "=" sign in the diagram) to the single coil on the right. The coil combination (coil 3-(coil 1|coil 2)-coil 4) can be considered as a single coil component 102.

[0602] Embodiment Thirteen of Coil Component 102:

[0603] Reference Figure 53 As shown; coils are combined in series and parallel in the direction of the magnetic field, with no structural components in between, n turns = 4;

[0604] Coils 1, 2, and 3 are connected in series using bonding, brackets, sleeves, riveting, clamps, welding, or other methods to form an equivalent coil (coil 1-coil 2-coil 3). This equivalent coil (coil 1-coil 2-coil 3) is then connected in parallel with coil 4 to form an equivalent coil ((coil 1-coil 2-coil 3)|coil 4). The magnetic fields generated by both the equivalent coil (coil 1-coil 2-coil 3) and coil 4 are directed towards the Y+ axis, hence they are in the same direction. Therefore, the overall magnetic field direction generated by the coil combination ((coil 1-coil 2-coil 3)|coil 4) can be externally considered equivalent to (indicated by the "=" sign in the diagram) to the single coil on the right. The coil combination ((coil 1-coil 2-coil 3)|coil 4) can be considered as a single coil component 102.

[0605] Example 10

[0606] Please refer to Figure 1-53According to the design method of the nonlinear term cancellation moving magnet oscillator in Examples 1, 3, 5, and 7, the nonlinear term cancellation moving magnet oscillator obtained by the above design method is applied to bone conduction headphones, bone conduction glasses, wired headphones, wireless headphones, AR glasses, VR glasses, smartwatches, smart bracelets, head-mounted devices, wearable devices, smartphones, game controllers, game headsets, game steering wheels, game pedals, mice, keyboards, touch screens, electrical control panels, touch devices, screen sound devices, in-vehicle haptic feedback devices, smart cockpits, gaming chairs, massage chairs, massagers, haptic feedback vests, haptic feedback gloves, haptic feedback belts, haptic feedback leg devices, hearing aids, sleep aids, or haptic feedback network interconnection devices. When the above-mentioned nonlinear term cancellation moving magnet oscillator is used in the above products, it can convert electrical energy into mechanical energy, such as vibration or mechanical motion.

[0607] The foregoing description enables those skilled in the art to make or use the present invention. Various modifications to these embodiments will be readily apparent to those skilled in the art, and the general principles defined herein may be implemented in other embodiments without departing from the spirit or scope of the invention. Therefore, the invention is not to be limited to the embodiments shown herein, but is to be accorded the widest scope consistent with the principles and novel features disclosed herein.

Claims

1. A design method for a moving-magnetic oscillator with nonlinear term cancellation, characterized in that: Including the following conditions: (1): A moving magnetic oscillator body is provided, the moving magnetic oscillator body includes an outer cylinder, a transmission plate, a stator assembly and a mover assembly, the stator assembly includes a coil assembly structure, the mover assembly includes a magnet assembly structure, the stator assembly is fixed inside the outer cylinder, the transmission plate is fixed on the outer cylinder, and the mover assembly and the transmission plate are fixedly connected through at least one point, wherein the mover assembly moves while the stator assembly does not move, and the mover assembly is called a moving component; (2): The moving part is simultaneously subjected to electromagnetic forces of two pairs of push and pull forces, exhibiting a push-pull structural feature.

2. The design method of the nonlinear term cancellation moving magnet oscillator according to claim 1, characterized in that: It also includes the following conditions: (3): The moving magnet oscillator body is provided with 2N magnetic domains D designed in pairs. 1,i and D 2,i N is 1, 2, 3, ..., 100, i = 1, 2, 3, ...

3. The design method of the nonlinear term cancellation moving magnet oscillator according to claim 2, characterized in that: The number of permanent magnets in the magnet combination structure and the number of coils in the coil combination structure are limited, with the number of permanent magnets being N. 磁 The number of coils is N 圈 , making N 磁 >N 圈 Or N 磁 <N 圈 N 磁 For 1, 2, 3, ..., 100; N 圈 The range is 1, 2, 3, ..., 100.

4. The design method of the nonlinear term cancellation moving magnet oscillator according to claim 1, characterized in that: In the push-pull structure, the linear terms of the electromagnetic force on the moving component are superimposed and increase, while the nonlinear terms of the electromagnetic force on the moving component are partially or completely canceled out and decrease.

5. The design method of the nonlinear term cancellation moving magnet oscillator according to claim 1, characterized in that: In the coil assembly structure, the closed curve of the main magnetic field lines of the coil and in the magnet assembly structure, the closed curve of the main magnetic field lines of the permanent magnet respectively traverse the magnetic domain D. 1,i and D 2,i A magnetic field is a spatial region filled with electromagnetic energy, generally composed of air or a medium with low magnetic permeability (e.g., relative permeability <1000), including the region where the magnetic material is located; and within the magnetic field D... 1,i In the coil, the direction of the magnetic field lines is the same as that of the permanent magnet, while in the magnetic domain D... 2,i In the coil, the direction of the magnetic field lines is opposite to the direction of the magnetic field lines of the permanent magnet; or in the magnetic domain D 1,i In the coil, the direction of the magnetic field lines is opposite to the direction of the magnetic field lines of the permanent magnet, while in the magnetic domain D... 2,i In this configuration, the direction of the magnetic field lines of the coil is the same as the direction of the magnetic field lines of the permanent magnet.

6. The design method of the nonlinear term cancellation moving magnet oscillator according to claim 5, characterized in that: The moving component is subjected to 2N forces, where N = 1, 2, 3, ..., 100; each force comprises two parts: a linear term of the excitation current i and a nonlinear term of the excitation current i. F 动磁,n (i)=F 动磁,n,linear (i)+F 动磁,n,nonlinear (i), where n = 1, 2, 3, ..., 2N-1, 2N; The resultant force on the moving part also consists of two parts: a linear term of current i and a nonlinear term of current i. F 动磁,合力 (i)=F 动磁,合力,linear (i)+F 动磁,合力,nonlinear (i) in: That is, the nonlinear terms in each component force partially or completely cancel each other out, resulting in the final total resultant force ∑. i (F 1,i +F 2,i In this process, the total resultant force partially or completely cancels out the nonlinear term of the current, while the linear terms are superimposed and increase, thus obtaining a moving magnet oscillator with the nonlinear term canceled out.

7. The design method of the nonlinear term cancellation moving magnet oscillator according to claim 1, characterized in that: The coil assembly structure includes a coil and a first magnetic conductor, and the magnet assembly structure includes a permanent magnet and a second magnetic conductor.

8. The design method of the nonlinear term cancellation moving magnet oscillator according to claim 1, characterized in that: The magnet assembly structure includes a magnet component and a second magnetic conductor. The magnet component is a single magnet or a combination of multiple magnets (n magnets > 1) whose overall magnetic field is equivalent to that of a single magnet. The magnetic field formed by the magnets in the assembly is in the same direction as a dominant magnetic field (if the magnetic field strengths of the multiple magnets differ significantly, their magnetic field directions may be opposite, but the overall magnetic field direction is the same as the dominant magnetic field direction). Thus, the overall magnetic field generated can be considered as generated by a single magnet component. Typically, the magnets are connected by a rigid or flexible structural component (between magnets, at the edge of magnets, or around magnets), or even without a structural component, by means of bonding, welding, embedding, screws, screws, riveting, pins, buckles, claws, brackets, sleeves, caps, or other methods.

9. The design method of the nonlinear term cancellation moving magnet oscillator according to claim 1, characterized in that: The coil assembly structure includes a coil component and a first magnetic conductor. The coil component is a combination of a single coil or multiple coils (n turns > 1). The overall magnetic field generated is equivalent to the magnetic field generated by a single coil. The magnetic field generated by the coils in the assembly is in the same direction as the magnetic field generated by a dominant coil (if the magnetic field strengths of the multiple coils differ significantly, the directions of the magnetic fields generated by these coils can also be opposite, but the overall magnetic field direction is the same as the direction of the magnetic field generated by the dominant coil). Thus, the overall magnetic field generated can be considered equivalent to the current generated in a single coil component. Typically, the coils are connected by a rigid or flexible structural component (between the coils, at the edge of the coils, or around the coils), or even without a structural component, they are connected by bonding, welding, embedding, screws, screws, riveting, pins, clips, claws, brackets, sleeves, caps, or other means.

10. The design method of the nonlinear term cancellation moving magnet oscillator according to claim 7, characterized in that: The moving part and the stator part are arranged in an interlocking, concave-convex shape, and the closed curve of the main magnetic field line of the coil and the closed curve of the main magnetic field line of the permanent magnet alternately pass through the moving part and the stator part, respectively.

11. The design method of the nonlinear term cancellation moving magnet oscillator according to claim 3, characterized in that: It also includes the following conditions: (3.1): Looking outward from the center, the permanent magnet is inside and the coil is outside; (3.2): N 磁 =(N 圈 +1)*n; n is a natural number, n = 1, 2, 3...; (3.3): When N 磁 When N > 1, the polarity of the two opposite end faces of the permanent magnet is the same; when N 圈 When the value is greater than 1, the current in adjacent coils is in the opposite direction, and the electromagnetic fields of two adjacent coils and their two adjacent end faces have the same polarity.

12. The design method of the nonlinear term cancellation moving magnet oscillator according to claim 3, characterized in that: It also includes the following conditions: (3.1): Looking outward from the center, the permanent magnet is inside and the coil is outside; (3.2):N 磁 =(N 圈 -1)*n; n is a natural number, n = 1, 2, 3...; (3.3): When N 磁 When N > 1, the polarity of the two opposite end faces of the permanent magnet is the same; when N 圈 When the value is greater than 1, the current in adjacent coils is in the opposite direction, and the electromagnetic fields of two adjacent coils and their two adjacent end faces have the same polarity.

13. The design method of the nonlinear term cancellation moving magnet oscillator according to claim 3, characterized in that: It also includes the following conditions: (3.1): Looking outward from the center, the coil is inside and the permanent magnet is outside; (3.3):N 磁 =(N 圈 +1)*n; n is a natural number, n = 1, 2, 3...; (3.3): When N 磁 When N > 1, the polarity of the two opposite end faces of the permanent magnet is the same; when N 圈 When the value is greater than 1, the current in adjacent coils is in the opposite direction, and the electromagnetic fields of two adjacent coils and their two adjacent end faces have the same polarity.

14. The design method of the nonlinear term cancellation moving magnet oscillator according to claim 3, characterized in that: It also includes the following conditions: (3.1): Looking outward from the center, the coil is inside and the permanent magnet is outside; (3.2):N 磁 =(N 圈 -1)*n; n is a natural number, n = 1, 2, 3...; (3.3):N 磁 When the polarity is greater than 1, the polarities of the two opposite end faces of the permanent magnet are the same; N 圈 When the value is greater than 1, the current in adjacent coils is in the opposite direction, and the electromagnetic fields of two adjacent coils and their two adjacent end faces have the same polarity.

15. The design method of the nonlinear term cancellation moving magnet oscillator according to claim 10, characterized in that: A magnetic conductor is used near the outer cylinder of the coil to minimize the magnetic resistance of the magnetic circuit that forms the electromagnet; permanent magnets in the magnet assembly are isolated from each other by a magnetic conductor; a yoke is used around the coil and the permanent magnet, or a magnetic outer cylinder is used for the coil assembly structure and the outer cylinder near the coil.

16. A moving-magnet oscillator device for nonlinear term cancellation, employing the design method of the moving-magnet oscillator for nonlinear term cancellation as described in claim 12, characterized in that: The device includes a moving-magnetic oscillator body, which comprises an outer cylinder, transducer plates, a stator assembly, and a mover assembly. The stator assembly includes a coil assembly structure, and the mover assembly includes a magnet assembly structure. The coil assembly structure includes a coil and a first magnetic conductor, a permanent magnet, and a second magnetic conductor. The coil assembly structure also includes a first magnetic ring. Viewed from the center outwards, the coils are on the outside, and the permanent magnet is on the inside. There is one permanent magnet and two coils. The currents in adjacent coils are in opposite directions, and the electromagnetic field polarities of adjacent end faces of two adjacent coils are the same. Two transducer plates are provided, each fixed to the top surface of the outer cylinder. On the bottom surface, the permanent magnet is fixed in the second magnetic conductor, and the two ends of the second magnetic conductor are respectively fixed on the vibration plate. The first magnetic conductor is fixed in the middle of the inner wall of the outer cylinder. The two coils are respectively fixed on both sides of the first magnetic conductor. The first magnetic ring is fixed on the outer side of the two coils. The coils and the first magnetic ring are both fixed on the inner wall of the outer cylinder. The moving part assembly and the stator assembly are arranged in an alternating concave-convex interlocking shape. The closed curve of the main magnetic force line of the coil and the closed curve of the main magnetic force line of the permanent magnet alternately pass through the moving part assembly and the stator assembly. The moving magnetic oscillator body has two symmetrically designed magnetic domains D inside. 1,1 and D 2,1 The closed curves of the main magnetic field lines of the coil and the closed curves of the main magnetic field lines of the permanent magnet respectively traverse the magnetic domain D. 1,1 and D 2,1 And in the magnetic domain D 1,1 In the coil, the direction of the magnetic field lines is the same as that of the permanent magnet, while in the magnetic domain D... 2,1 In this case, the direction of the magnetic field lines of the coil is opposite to the direction of the magnetic field lines of the permanent magnet.

17. A moving-magnet oscillator device for nonlinear term cancellation, employing the design method of the moving-magnet oscillator for nonlinear term cancellation as described in claim 13, characterized in that: The device includes a moving-magnetic oscillator body, which comprises an outer cylinder, a transducer plate, a stator assembly, and a mover assembly. The stator assembly includes a coil assembly structure, and the mover assembly includes a magnet assembly structure. The coil assembly structure includes a coil and a first magnetic conductor. The magnet assembly structure includes a permanent magnet and a second magnetic conductor. The coil assembly structure also includes a first magnetic ring and a second magnetic ring. Viewed from the center outwards, the coil is inside, the permanent magnet is outside, there are two permanent magnets, and one coil. The polarities of the two opposite end faces of the permanent magnet are the same. One transducer plate is fixed to the top surface of the outer cylinder, and one end of the first magnetic conductor is fixed. On the bottom surface of the outer cylinder, the coil is fixed to the first magnetic conductor in a spiral pattern. The first magnetic ring is fixed to one end of the first magnetic conductor. The vibration transmission bracket is L-shaped, with its horizontal portion parallel to the vibration direction. The second magnetic conductor is fixed to the horizontal portion of the vibration transmission bracket. The permanent magnet is fixed on both sides of the second magnetic conductor. Two permanent magnets are fixed to the horizontal portion of the vibration transmission bracket. The moving part assembly and the stator assembly are arranged in an alternating, interlocking pattern. The closed curves of the main magnetic lines of force of the coil and the main magnetic lines of force of the permanent magnet alternately pass through the moving part assembly and the stator assembly, respectively. The moving magnetic oscillator body has two symmetrically designed magnetic domains D inside. 1,1 and D 2,1 The closed curves of the main magnetic field lines of the coil and the closed curves of the main magnetic field lines of the permanent magnet respectively traverse the magnetic domain D. 1,1 and D 2,1 In the magnetic domain D 1,1 In the coil, the direction of the magnetic field lines is opposite to the direction of the magnetic field lines of the permanent magnet, while in the magnetic domain D... 2,1 In this configuration, the direction of the magnetic field lines of the coil is the same as the direction of the magnetic field lines of the permanent magnet.

18. A moving-magnet oscillator device for nonlinear term cancellation, employing the design method of the moving-magnet oscillator for nonlinear term cancellation as described in claim 14, characterized in that: The device includes a moving-magnetic oscillator body, which comprises an outer cylinder, a transducer plate, a stator assembly, and a mover assembly. The stator assembly includes a coil assembly structure, and the mover assembly includes a magnet assembly structure. The coil assembly structure includes a coil and a first magnetic conductor, and the magnet assembly structure includes a permanent magnet and a second magnetic conductor. The coil assembly structure also includes a first magnetic ring and a second magnetic ring. Viewed from the center outwards, the coils are inside, and the permanent magnets are outside. There is one permanent magnet and two coils. The currents in adjacent coils are in opposite directions, and the electromagnetic field polarities of adjacent coils at their two nearest end faces are the same. One transducer plate is fixed to the top surface of the outer cylinder, and one end of the first magnetic conductor is fixed to the outer cylinder. On the bottom surface of the cylinder, two coils are fixed to the first magnetic conductor in a circumferential manner. A second magnetic ring is fixed to one end of the first magnetic conductor. The first magnetic ring is fixed to the middle of the first magnetic conductor in a circumferential manner and is located between the two coils. The vibration transmission bracket is L-shaped, and the horizontal part of the vibration transmission bracket is parallel to the vibration direction. The permanent magnet is fixed in the middle of the horizontal part of the vibration transmission bracket. The second magnetic conductor is located on both sides of the permanent magnet and is fixed on the horizontal part of the vibration transmission bracket. The moving part assembly and the stator assembly are arranged in an alternating concave-convex interlocking shape. The closed curves of the main magnetic lines of force of the coils and the closed curves of the main magnetic lines of force of the permanent magnet alternately pass through the moving part assembly and the stator assembly, respectively. The moving magnetic oscillator body has four magnetic domains D designed symmetrically in pairs inside. 1,1 D 2,1、 D 1,2 D 2,2 , where D 1,1 and D 2,1 Symmetry, D 1,2 and D 2,2 Symmetrical, the closed curves of the main magnetic field lines of the coil and the closed curves of the main magnetic field lines of the permanent magnet respectively cross the magnetic domain D. 1,1 D 2,1、 D 1,2 D 2,2 In the magnetic domain D 1,1 In this configuration, the direction of the magnetic field lines of the coil is opposite to the direction of the magnetic field lines of the permanent magnet. And in the magnetic domain D... 2,1 In this configuration, the direction of the magnetic field lines of the coil is the same as the direction of the magnetic field lines of the permanent magnet.

19. A moving-magnet oscillator device for nonlinear term cancellation, employing the design method of the moving-magnet oscillator for nonlinear term cancellation as described in claim 12, characterized in that: The device includes a moving-magnetic oscillator body, which comprises an outer cylinder, transducer plates, a stator assembly, and a mover assembly. The stator assembly includes a coil assembly structure, and the mover assembly includes a magnet assembly structure. The coil assembly structure includes a coil and a first magnetic conductor. The magnet assembly structure includes a permanent magnet and a second magnetic conductor. The coil assembly structure also includes a first magnetic ring. Viewed from the center outwards, the coils are on the outside, and the permanent magnets are on the inside. There are two permanent magnets, with the polarities of their opposite end faces being the same. There are three coils, with the currents in adjacent coils flowing in opposite directions. The electromagnetic field polarities of the two adjacent end faces of two adjacent coils are the same. Two transducer plates are provided, each fixed to the outer cylinder. On the top and bottom surfaces of the cylinder, two permanent magnets are fixed to both sides of the second magnetic conductor. Two permanent magnets are also fixed to magnetic sleeves, which are in turn fixed to two vibration plates. Three coils are sequentially fixed to the inner wall of the outer cylinder. A first magnetic conductor is fixed between adjacent coils, and a first magnetic ring is fixed to the outside of each coil. Both the first magnetic conductor and the first magnetic ring are fixed to the inner wall of the outer cylinder 1. The mover assembly and the stator assembly are arranged in an alternating, interlocking pattern. The closed curves of the main magnetic lines of force of the coils and the permanent magnets alternately pass through the mover assembly and the stator assembly. The moving-magnetic oscillator body contains six symmetrically designed magnetic domains D. 1,1 D 2,1 D 1,2 D 2,2 D 1,3 D 2,3 Among them, magnetic domain D 1,1 With D 2,1 Symmetry, magnetic domain D 1,2 and D 2,2 Symmetry, D 1,3 and D 2,3 Symmetrical, the closed curves of the main magnetic field lines of the coil and the closed curves of the main magnetic field lines of the permanent magnet respectively cross the magnetic domain D. 1,1 D 2,1 D 1,2 D 2,2 D 1,3 and D 2,3 And in the magnetic domain D 1,1 In the coil, the direction of the magnetic field lines is opposite to the direction of the magnetic field lines of the permanent magnet, while in the magnetic domain D... 2,1 In the coil, the direction of the magnetic field lines is the same as that of the permanent magnet, and in the magnetic domain D... 1,2 In the coil, the direction of the magnetic field lines is the same as that of the permanent magnet, while in the magnetic domain D... 2,2 In this case, the direction of the magnetic field lines of the coil is opposite to the direction of the magnetic field lines of the permanent magnet.

20. The application of the design method for a moving-magnetic oscillator with nonlinear term cancellation according to any one of claims 1-15, characterized in that: The nonlinear term-canceling moving magnet oscillator obtained using the above design method can be applied to bone conduction headphones, bone conduction glasses, wired headphones, wireless headphones, AR glasses, VR glasses, smartwatches, smart bracelets, head-mounted devices, wearable devices, smartphones, game controllers, gaming headsets, gaming steering wheels, gaming pedals, mice, keyboards, touch screens, electrical control panels, touch devices, screen sound devices, in-vehicle haptic feedback devices, smart cockpits, gaming chairs, massage chairs, massagers, haptic feedback vests, haptic feedback gloves, haptic feedback belts, haptic feedback leg devices, hearing aids, sleep aids, or haptic feedback network interconnection devices.

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