Repulsive force type spherical axial passive magnetic bearing design method, device, equipment and medium

Abstract

The invention discloses a repulsive force type spherical axial passive magnetic bearing design method, device, equipment and medium, and relates to the technical field of non-contact magnetic suspension bearing design, and the method comprises the steps: building a magnetic charge density expression of a repulsive force type spherical axial passive magnetic bearing permanent magnet and an axial permanent magnet repulsive force integration unit, and generating an axial permanent magnet repulsive force mathematical model; generating a plurality of groups of axial magnetic bearing bearing capacity expressions by using the magnetic charge density expression and the axial permanent magnet repulsive force integration unit, and constructing a bearing rigidity analysis model based on the axial permanent magnet repulsive force mathematical model and the plurality of groups of axial magnetic bearing bearing capacity expressions; and calculating the bearing rigidity analysis model by utilizing the design parameters and the design allowance to obtain the rigidity design parameters of the magnetic bearing, calculating the group number of permanent magnets of the repulsive force type spherical axial passive magnetic bearing, and designing the repulsive force type spherical axial passive magnetic bearing based on the group number. The repulsion type spherical axial passive magnetic bearing which is large in air gap magnetic field intensity, high in suspension precision, good in stability and low in power consumption can be designed.

Description

Technical Field

[0001] The invention relates to the technical field of non-contact magnetic suspension bearing design, and in particular to a design method, device, equipment and medium for a repulsive spherical axial passive magnetic bearing. Background Art

[0002] Existing magnetic bearings can be divided into active magnetic bearings and passive magnetic bearings according to magnetic force. The former can achieve active control of bearing stiffness and damping by controlling the size and direction of the current in the coil, so it has active vibration control and active vibration suppression functions. However, the active magnetic bearing system needs to install high-precision displacement sensors, high-quality controllers and power amplifiers, which increases the cost, increases the system complexity, and reduces the system reliability. In contrast, passive magnetic bearings do not require sensors and controllers, and have the advantages of simple structure, low cost, low power consumption, and high system reliability. They can meet the requirements of contactless suspension support of precision positioning workbenches, but the existing design methods of passive magnetic bearings have problems such as low control accuracy.

[0003] As can be seen from the above, how to design a repulsive spherical axial passive magnetic bearing with high air gap magnetic field intensity, high suspension accuracy, good stability and low power consumption is a problem to be solved in the field. Summary of the invention

[0004] In view of this, the purpose of the present invention is to provide a repulsive spherical axial passive magnetic bearing design method, device, equipment and medium, which can design a repulsive spherical axial passive magnetic bearing with large air gap magnetic field intensity, high suspension accuracy, good stability and low power consumption. The specific scheme is as follows:

[0005] In a first aspect, the present application discloses a design method for a repulsive spherical axial passive magnetic bearing, comprising:

[0006] Establishing a magnetic charge density expression of a repulsive spherical axial passive magnetic bearing permanent magnet and an axial permanent magnet repulsion integration unit, and generating an axial permanent magnet repulsion mathematical model based on the axial permanent magnet repulsion integration unit;

[0007] Setting axial parameters, generating multiple sets of axial magnetic bearing capacity expressions using the magnetic charge density expression and the axial permanent magnet repulsion integral unit, and constructing a bearing stiffness analysis model based on the axial permanent magnet repulsion mathematical model and the multiple sets of axial magnetic bearing capacity expressions;

[0008] The bearing stiffness analysis model is calculated using preset design parameters and design margins to obtain the magnetic bearing stiffness design parameters, the number of groups of permanent magnets of the repulsive spherical axial passive magnetic bearing is calculated based on the magnetic bearing stiffness design parameters, and the repulsive spherical axial passive magnetic bearing is designed based on the number of groups.

[0009] Optionally, the method of establishing a magnetic charge density expression of a repulsive spherical axial passive magnetic bearing permanent magnet and an axial permanent magnet repulsive force integration unit includes:

[0010] Establishing a force model between magnetic charges at any two points, and constructing a magnetic charge density expression between the center and the surface of a repulsive spherical axial passive magnetic bearing permanent magnet based on the force model;

[0011] An axial permanent magnet repulsion integration unit is established based on the preset air gap length of the magnetic bearing.

[0012] Optionally, the magnetic charge density expression is:

[0013] ;

[0014] in, is the magnetic charge density at the center of the permanent magnet of the repulsive spherical axial passive magnetic bearing, is the vacuum magnetic permeability, M is the magnetization intensity, is the residual magnetization of the permanent magnet.

[0015] Optionally, the bearing capacity expressions of the multiple groups of axial magnetic bearings are:

[0016] ;

[0017] in, is the number of permanent magnet groups in the spherical axial passive magnetic bearing, and are the angles corresponding to the upper and lower spherical single-layer magnetic rings of the spherical passive magnetic bearing permanent magnet, and are the upper spherical surface magnetic charge density and the lower spherical surface magnetic charge density at the center of each set of permanent magnet structures, is the vacuum permeability, is the axial air gap between the end faces of the permanent magnet ring of the spherical axial passive magnetic bearing, z is the axial position change between the upper and lower spherical surfaces of the spherical axial passive magnetic bearing, is the spatial angle between the magnetic charges at any two points on the upper and lower end surfaces of the permanent magnet ring of the spherical axial passive magnetic bearing, and They are respectively the radii of the upper and lower spherical surfaces of the permanent magnet ring of the spherical passive magnetic bearing.

[0018] Optionally, constructing a bearing stiffness analysis model based on the axial permanent magnet repulsion mathematical model and the multiple sets of axial magnetic bearing capacity expressions includes:

[0019] The axial permanent magnet repulsion mathematical model is analytically calculated, and the multiple groups of axial magnetic bearing capacity expressions are derived to construct a bearing stiffness analysis model.

[0020] Optionally, the bearing stiffness analysis model is:

[0021] ;

[0022] in, is the bearing stiffness of the spherical axial passive magnetic bearing, is the safety factor, is the axial load force, m is the weight of the moving part of the magnetic suspension measurement platform, g is the gravitational acceleration, is the maximum permissible axial displacement.

[0023] In a second aspect, the present application discloses a repulsive spherical axial passive magnetic bearing design device, comprising:

[0024] A repulsion mathematical model establishment module is used to establish a magnetic charge density expression of a repulsion type spherical axial passive magnetic bearing permanent magnet and an axial permanent magnet repulsion integral unit, and generate an axial permanent magnet repulsion mathematical model based on the axial permanent magnet repulsion integral unit;

[0025] A stiffness analysis model building module is used to set axial parameters, generate multiple sets of axial magnetic bearing capacity expressions using the magnetic charge density expression and the axial permanent magnet repulsion integral unit, and build a bearing stiffness analysis model based on the axial permanent magnet repulsion mathematical model and the multiple sets of axial magnetic bearing capacity expressions;

[0026] A magnetic bearing design module is used to calculate the bearing stiffness analysis model using preset design parameters and design margins to obtain the magnetic bearing stiffness design parameters, calculate the number of groups of permanent magnets of the repulsive spherical axial passive magnetic bearing according to the magnetic bearing stiffness design parameters, and design a repulsive spherical axial passive magnetic bearing based on the number of groups.

[0027] Optionally, the repulsive force mathematical model building module includes:

[0028] A magnetic charge density expression construction module is used to establish a force model between magnetic charges at any two points, and to construct a magnetic charge density expression between the center and the surface of a repulsive spherical axial passive magnetic bearing permanent magnet based on the force model;

[0029] The repulsion integration unit establishing module is used to establish the axial permanent magnet repulsion integration unit based on the preset magnetic bearing air gap length.

[0030] In a third aspect, the present application discloses an electronic device, comprising:

[0031] Memory, used to store computer programs;

[0032] A processor is used to execute the computer program to implement the aforementioned repulsive spherical axial passive magnetic bearing design method.

[0033] In a fourth aspect, the present application discloses a computer storage medium for storing a computer program; wherein, when the computer program is executed by a processor, the steps of the aforementioned disclosed method for designing a repulsive spherical axial passive magnetic bearing are implemented.

[0034] It can be seen that the present application provides a design method for a repulsive spherical axial passive magnetic bearing, including establishing a magnetic charge density expression of a repulsive spherical axial passive magnetic bearing permanent magnet and an axial permanent magnet repulsion integral unit, generating an axial permanent magnet repulsion mathematical model based on the axial permanent magnet repulsion integral unit; setting axial parameters, using the magnetic charge density expression and the axial permanent magnet repulsion integral unit to generate multiple groups of axial magnetic bearing load-bearing capacity expressions, and constructing a bearing stiffness analysis model based on the axial permanent magnet repulsion mathematical model and the multiple groups of axial magnetic bearing load-bearing capacity expressions; calculating the bearing stiffness analysis model using preset design parameters and design margins to obtain magnetic bearing stiffness design parameters, calculating the number of groups of permanent magnets of the repulsive spherical axial passive magnetic bearing according to the magnetic bearing stiffness design parameters, and designing a repulsive spherical axial passive magnetic bearing based on the number of groups. The present application establishes a magnetic charge density expression and a permanent magnet repulsion integral unit to generate multiple sets of axial magnetic bearing capacity expressions, and constructs a bearing stiffness analysis model in combination with the axial permanent magnet repulsion mathematical model. The bearing stiffness analysis model is calculated using design parameters and design margins to obtain the magnetic bearing stiffness design parameters, thereby calculating the number of groups of permanent magnets in the repulsive spherical axial passive magnetic bearing. Therefore, a repulsive spherical axial passive magnetic bearing with a large air gap magnetic field intensity, high suspension accuracy, good stability and low power consumption can be designed. BRIEF DESCRIPTION OF THE DRAWINGS

[0035] In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the drawings required for use in the embodiments or the description of the prior art will be briefly introduced below. Obviously, the drawings described below are only embodiments of the present invention. For ordinary technicians in this field, other drawings can be obtained based on the provided drawings without paying creative work.

[0036] Figure 1 This is a flow chart of a design method for a repulsive spherical axial passive magnetic bearing disclosed in this application;

[0037] Figure 2 This is a structural diagram of a spherical axial passive magnetic bearing disclosed in this application;

[0038] Figure 3 A specific flow chart for designing a repulsive spherical axial passive magnetic bearing disclosed in this application;

[0039] Figure 4 This is a schematic structural diagram of a repulsive spherical axial passive magnetic bearing design device disclosed in this application;

[0040] Figure 5 A structural diagram of an electronic device provided for this application. DETAILED DESCRIPTION

[0041] The following will be combined with the drawings in the embodiments of the present invention to clearly and completely describe the technical solutions in the embodiments of the present invention. Obviously, the described embodiments are only part of the embodiments of the present invention, not all of the embodiments. Based on the embodiments of the present invention, all other embodiments obtained by ordinary technicians in this field without creative work are within the scope of protection of the present invention.

[0042] Existing magnetic bearings can be divided into active magnetic bearings and passive magnetic bearings according to magnetic force. The former can realize active control of bearing stiffness and damping by controlling the size and direction of the current in the coil, so it has active vibration control and active vibration suppression functions, but the active magnetic bearing system needs to install high-precision displacement sensors, high-quality controllers and power amplifiers, which increases the cost, increases the system complexity, and reduces the system reliability; in contrast, passive magnetic bearings do not require sensors and controllers, and have the advantages of simple structure, low cost, low power consumption, and high system reliability. They can meet the requirements of non-contact suspension support of precision positioning workbenches, but the existing design methods of passive magnetic bearings have problems such as low control accuracy. As can be seen from the above, how to design a repulsive spherical axial passive magnetic bearing with large air gap magnetic field intensity, high suspension accuracy, good stability, and low power consumption is a problem to be solved in this field.

[0043] See also Figure 1 As shown, the embodiment of the present invention discloses a design method of a repulsive spherical axial passive magnetic bearing, which may specifically include:

[0044] Step S11: establishing a magnetic charge density expression of a repulsive spherical axial passive magnetic bearing permanent magnet and an axial permanent magnet repulsion integration unit, and generating an axial permanent magnet repulsion mathematical model based on the axial permanent magnet repulsion integration unit.

[0045] In this embodiment, the process of establishing the magnetic charge density expression of the repulsive spherical axial passive magnetic bearing permanent magnet is as follows: First, according to Coulomb's law of magnetism, the magnetic charge density of any two points is established. and The formula for the force between any two points of magnetic charge and The formula for the force between them is:

[0046] ;

[0047] Where F is the magnetic charge at any two points and The force between is the vacuum permeability, , r is the magnetic charge and The spatial distance between them, r is the magnetic charge and The distance vector between them. The excitation capacity of the passive magnetic bearing is equivalent to the magnetic charge. Assuming that the magnetic charge is evenly distributed on the upper and lower spherical surfaces of the permanent magnet of the spherical axial passive magnetic bearing, the magnetic charge density on the upper spherical surface is , the magnetic charge density on the lower spherical surface is . From the magnetostatics theory, we can get:

[0048] ;

[0049] ;

[0050] in, is the magnetic pole magnetization intensity vector, is the unit vector in the normal direction of the end face of the permanent magnet ring of the spherical axial passive magnetic bearing, M is the magnetization intensity, and H is the magnetic field intensity. Since the normal direction of the end face of the permanent magnet ring of the spherical axial passive magnetic bearing is the same as the magnetization direction, the expression of the magnetic charge density is:

[0051] ;

[0052] in, is the magnetic charge density at the center of the permanent magnet of the repulsive spherical axial passive magnetic bearing, is the vacuum magnetic permeability, M is the magnetization intensity, is the residual magnetization of the permanent magnet.

[0053] In this embodiment, the process of establishing the axial permanent magnet repulsion integration unit of the repulsive spherical axial passive magnetic bearing permanent magnet is as follows: Assume that the axial air gap between the end faces of the permanent magnet ring of the spherical axial passive magnetic bearing is The spherical passive magnetic bearing has a permanent magnet ring. The upper and lower spherical surfaces of the permanent magnet ring interact with each other, and the resulting permanent magnet axial bearing capacity is , the integral unit of its axial permanent magnetic bearing capacity is:

[0054] ;

[0055] in, is the integral unit of the axial permanent magnetic bearing capacity of the spherical passive magnetic bearing, is the axial air gap between the upper and lower end surfaces of the permanent magnet ring of the spherical axial passive magnetic bearing, z is the axial position change between the upper and lower spherical surfaces of the spherical axial passive magnetic bearing, and are the upper spherical surface magnetic charge density and the lower spherical surface magnetic charge density respectively; is the magnetic charge at any two points on the upper and lower end surfaces of the permanent magnet ring of the spherical axial passive magnetic bearing and The spatial angle between and They are the upper and lower spherical surface area integral elements of the permanent magnet ring of the spherical passive magnetic bearing, respectively:

[0056] ;

[0057] ;

[0058] in, and are the radii of the upper and lower spherical surfaces of the permanent magnet ring of the spherical passive magnetic bearing, and They are the angles corresponding to the upper and lower spherical single-layer magnetic rings of the permanent magnet of the spherical passive magnetic bearing.

[0059] From the above formula we can get:

[0060] ;

[0061] Step S12: Set axial parameters, generate multiple sets of axial magnetic bearing capacity expressions using the magnetic charge density expression and the axial permanent magnet repulsion integral unit, and construct a bearing stiffness analysis model based on the axial permanent magnet repulsion mathematical model and the multiple sets of axial magnetic bearing capacity expressions.

[0062] In this embodiment, the bearing capacity of the multiple groups of axial magnetic bearings is expressed as:

[0063] ;

[0064] in, is the number of permanent magnet groups in the spherical axial passive magnetic bearing, and are the angles corresponding to the upper and lower spherical single-layer magnetic rings of the spherical passive magnetic bearing permanent magnet, and are the upper spherical surface magnetic charge density and the lower spherical surface magnetic charge density at the center of each set of permanent magnet structures, is the vacuum permeability, is the axial air gap between the end faces of the permanent magnet ring of the spherical axial passive magnetic bearing, z is the axial position change between the upper and lower spherical surfaces of the spherical axial passive magnetic bearing, is the spatial angle between the magnetic charges at any two points on the upper and lower end surfaces of the permanent magnet ring of the spherical axial passive magnetic bearing, and They are respectively the radii of the upper and lower spherical surfaces of the permanent magnet ring of the spherical passive magnetic bearing.

[0065] In this embodiment, the process of constructing the bearing stiffness analysis model is: performing analytical calculations on the axial permanent magnet repulsion mathematical model, and deriving the multiple groups of axial magnetic bearing capacity expressions to construct the bearing stiffness analysis model; the bearing stiffness analysis model is:

[0066] ;

[0067] in, is the bearing stiffness of the spherical axial passive magnetic bearing, is the safety factor, is the axial load force, m is the weight of the moving part of the magnetic suspension measurement platform, g is the gravitational acceleration, is the maximum permissible axial displacement.

[0068] Specifically, the axial bearing capacity generated by the single-layer permanent magnet of the spherical axial passive magnetic bearing can be obtained by performing area integration on the upper and lower spherical magnetic charge distribution surfaces of the permanent magnet ring of the passive magnetic bearing: for:

[0069] ;

[0070] Therefore, when there is Axial bearing capacity generated by spherical axial permanent magnets for:

[0071] ;

[0072] Spherical axial passive magnetic bearing bearing stiffness for:

[0073] ;

[0074] Since the magnetic suspension measurement platform is placed vertically, the gravity of the moving part is in the same direction as the axial load force. The bearing capacity required by the axial spherical passive magnetic bearing is the superposition of gravity and axial load force. In addition, in order to ensure reliable suspension of the axial direction, the maximum axial bearing capacity should have a certain safety factor based on these forces. Assuming that the weight of the moving part of the magnetic suspension measurement platform is m, the axial load force is , the maximum permissible axial displacement is , then the bearing stiffness analysis model that needs to be constructed is:

[0075] ;

[0076] in, is the safety factor, which is generally between 2 and 3; g is the acceleration due to gravity, .

[0077] Step S13: Calculate the bearing stiffness analysis model using preset design parameters and design margins to obtain magnetic bearing stiffness design parameters, calculate the number of groups of permanent magnets of the repulsive spherical axial passive magnetic bearing according to the magnetic bearing stiffness design parameters, and design a repulsive spherical axial passive magnetic bearing based on the number of groups.

[0078] According to the above technical solution and formula of the present application, the final number of spherical axial permanent magnet layers npm can be obtained as follows:

[0079] .

[0080] The structure of the spherical axial passive magnetic bearing is as follows Figure 2 As shown, Figure 2 Mark 1 is a rotor magnetizer, mark 2 is a rotor mounting sleeve, mark 3 is a first rotor permanent magnet, mark 4 is a second rotor permanent magnet, mark 5 is a third rotor permanent magnet, mark 6 is a fourth rotor permanent magnet, mark 7 is a fifth rotor permanent magnet, mark 8 is a sixth rotor permanent magnet, mark 9 is a seventh rotor permanent magnet, mark 10 is a stator magnetizer, mark 11 is a stator mounting sleeve, mark 12 is a first stator permanent magnet, mark 13 is a second stator permanent magnet, mark 14 is a third stator permanent magnet, mark 15 is a fourth stator permanent magnet, mark 16 is a fifth stator permanent magnet, mark 17 is a sixth stator permanent magnet, mark 18 is a seventh stator permanent magnet, and mark 19 is a magnetic bearing air gap.

[0081] The specific process and principles of this application are as follows Figure 3 As shown in the figure: In view of the shortcomings of existing passive magnetic bearings that only have structural design but no mathematical model analysis of passive magnetic bearings, a design method for repulsive spherical axial passive magnetic bearings based on Coulomb's law of magnetic charge is proposed. Through the theory of magnetostatics, the expression of the surface magnetic charge density of spherical permanent magnets is obtained. On this basis, the mathematical model of the axial repulsion of a single-layer permanent magnet of a passive magnetic bearing is obtained according to the spherical surface integral, and the spherical passive magnetic bearing is quickly designed under the constraints of the design parameters and design margins. Through multiple parameters and repeated optimization, the number of permanent magnet layers of the spherical axial passive magnetic bearing is finally determined to complete the design of the magnetic bearing.

[0082] The advantages of the present application are: (1) the spherical passive magnetic bearing is analyzed according to the Coulomb's law of magnetic charge, the unit permanent magnetic repulsion of the axial passive magnetic bearing is obtained, and a mathematical analysis model of the passive magnetic bearing is established; (2) by differentiating the load-bearing force of the passive magnetic bearing, the magnetic bearing stiffness model of the spherical passive magnetic bearing is obtained, and under the constraints of the passive magnetic bearing design parameters and design margin, the magnetic bearing is designed by example, and a repulsive spherical axial passive magnetic bearing design method based on the Coulomb's law of magnetic charge is obtained, which can be used for the rapid and accurate design of permanent magnetic axial passive magnetic bearings.

[0083] In this embodiment, a magnetic charge density expression of a repulsive spherical axial passive magnetic bearing permanent magnet and an axial permanent magnet repulsion integral unit are established, and an axial permanent magnet repulsion mathematical model is generated based on the axial permanent magnet repulsion integral unit; axial parameters are set, and multiple groups of axial magnetic bearing load-bearing capacity expressions are generated using the magnetic charge density expression and the axial permanent magnet repulsion integral unit, and a bearing stiffness analysis model is constructed based on the axial permanent magnet repulsion mathematical model and the multiple groups of axial magnetic bearing load-bearing capacity expressions; the bearing stiffness analysis model is calculated using preset design parameters and design margins to obtain magnetic bearing stiffness design parameters, and the number of groups of the repulsive spherical axial passive magnetic bearing permanent magnets is calculated according to the magnetic bearing stiffness design parameters, and a repulsive spherical axial passive magnetic bearing is designed based on the number of groups. The present application establishes a magnetic charge density expression and a permanent magnet repulsion integral unit to generate multiple sets of axial magnetic bearing capacity expressions, and constructs a bearing stiffness analysis model in combination with the axial permanent magnet repulsion mathematical model. The bearing stiffness analysis model is calculated using design parameters and design margins to obtain the magnetic bearing stiffness design parameters, thereby calculating the number of groups of permanent magnets in the repulsive spherical axial passive magnetic bearing. Therefore, a repulsive spherical axial passive magnetic bearing with a large air gap magnetic field intensity, high suspension accuracy, good stability and low power consumption can be designed.

[0084] See also Figure 4 As shown, the embodiment of the present invention discloses a repulsive spherical axial passive magnetic bearing design device, which may specifically include:

[0085] A repulsive force mathematical model building module 11 is used to establish a magnetic charge density expression of a repulsive spherical axial passive magnetic bearing permanent magnet and an axial permanent magnet repulsive force integral unit, and to generate an axial permanent magnet repulsive force mathematical model based on the axial permanent magnet repulsive force integral unit;

[0086] A stiffness analysis model building module 12 is used to set axial parameters, generate multiple sets of axial magnetic bearing capacity expressions using the magnetic charge density expression and the axial permanent magnet repulsion integral unit, and build a bearing stiffness analysis model based on the axial permanent magnet repulsion mathematical model and the multiple sets of axial magnetic bearing capacity expressions;

[0087] The magnetic bearing design module 13 is used to calculate the bearing stiffness analysis model using preset design parameters and design margins to obtain the magnetic bearing stiffness design parameters, calculate the number of groups of permanent magnets of the repulsive spherical axial passive magnetic bearing according to the magnetic bearing stiffness design parameters, and design the repulsive spherical axial passive magnetic bearing based on the number of groups.

[0088] In this embodiment, a magnetic charge density expression of a repulsive spherical axial passive magnetic bearing permanent magnet and an axial permanent magnet repulsion integral unit are established, and an axial permanent magnet repulsion mathematical model is generated based on the axial permanent magnet repulsion integral unit; axial parameters are set, and multiple groups of axial magnetic bearing load-bearing capacity expressions are generated using the magnetic charge density expression and the axial permanent magnet repulsion integral unit, and a bearing stiffness analysis model is constructed based on the axial permanent magnet repulsion mathematical model and the multiple groups of axial magnetic bearing load-bearing capacity expressions; the bearing stiffness analysis model is calculated using preset design parameters and design margins to obtain magnetic bearing stiffness design parameters, and the number of groups of the repulsive spherical axial passive magnetic bearing permanent magnets is calculated according to the magnetic bearing stiffness design parameters, and a repulsive spherical axial passive magnetic bearing is designed based on the number of groups. The present application establishes a magnetic charge density expression and a permanent magnet repulsion integral unit to generate multiple sets of axial magnetic bearing capacity expressions, and constructs a bearing stiffness analysis model in combination with the axial permanent magnet repulsion mathematical model. The bearing stiffness analysis model is calculated using design parameters and design margins to obtain the magnetic bearing stiffness design parameters, thereby calculating the number of groups of permanent magnets in the repulsive spherical axial passive magnetic bearing. Therefore, a repulsive spherical axial passive magnetic bearing with a large air gap magnetic field intensity, high suspension accuracy, good stability and low power consumption can be designed.

[0089] In some specific embodiments, the magnetic charge density expression is:

[0090] ;

[0091] in, is the magnetic charge density at the center of the permanent magnet of the repulsive spherical axial passive magnetic bearing, is the vacuum magnetic permeability, M is the magnetization intensity, is the residual magnetization of the permanent magnet.

[0092] In some specific embodiments, the bearing capacity of the multiple groups of axial magnetic bearings is expressed as:

[0093] ;

[0094] in, is the number of permanent magnet groups in the spherical axial passive magnetic bearing, and are the angles corresponding to the upper and lower spherical single-layer magnetic rings of the spherical passive magnetic bearing permanent magnet, and are the upper spherical surface magnetic charge density and the lower spherical surface magnetic charge density at the center of each set of permanent magnet structures, is the vacuum permeability, is the axial air gap between the end faces of the permanent magnet ring of the spherical axial passive magnetic bearing, z is the axial position change between the upper and lower spherical surfaces of the spherical axial passive magnetic bearing, is the spatial angle between the magnetic charges at any two points on the upper and lower end surfaces of the permanent magnet ring of the spherical axial passive magnetic bearing, and They are respectively the radii of the upper and lower spherical surfaces of the permanent magnet ring of the spherical passive magnetic bearing.

[0095] In some specific embodiments, the stiffness analysis model building module 12 may specifically include:

[0096] The analytical calculation and derivation module is used to perform analytical calculations on the axial permanent magnet repulsion mathematical model and to derive the multiple groups of axial magnetic bearing capacity expressions to construct a bearing stiffness analysis model.

[0097] In some specific embodiments, the bearing stiffness analysis model is:

[0098] ;

[0099] in, is the bearing stiffness of the spherical axial passive magnetic bearing, is the safety factor, is the axial load force, m is the weight of the moving part of the magnetic suspension measurement platform, g is the gravitational acceleration, is the maximum permissible axial displacement.

[0100] Figure 5 A schematic diagram of the structure of an electronic device provided in an embodiment of the present application. The electronic device 20 may specifically include: at least one processor 21, at least one memory 22, a power supply 23, a communication interface 24, an input / output interface 25, and a communication bus 26. The memory 22 is used to store a computer program, which is loaded and executed by the processor 21 to implement the relevant steps in the repulsive spherical axial passive magnetic bearing design method performed by the electronic device disclosed in any of the aforementioned embodiments.

[0101] In this embodiment, the power supply 23 is used to provide working voltage for each hardware device on the electronic device 20; the communication interface 24 can create a data transmission channel between the electronic device 20 and the external device, and the communication protocol it follows is any communication protocol that can be applied to the technical solution of the present application, and is not specifically limited here; the input and output interface 25 is used to obtain external input data or output data to the outside world, and its specific interface type can be selected according to specific application needs and is not specifically limited here.

[0102] In addition, the memory 22, as a carrier for storing resources, can be a read-only memory, a random access memory, a disk or an optical disk, etc. The resources stored thereon include an operating system 221, a computer program 222 and data 223, etc. The storage method can be temporary storage or permanent storage.

[0103] Among them, the operating system 221 is used to manage and control the hardware devices and computer programs 222 on the electronic device 20, so as to realize the operation and processing of the data 223 in the memory 22 by the processor 21, which can be Windows, Unix, Linux, etc. In addition to including a computer program that can be used to complete the repulsive spherical axial passive magnetic bearing design method performed by the electronic device 20 disclosed in any of the aforementioned embodiments, the computer program 222 can further include a computer program that can be used to complete other specific tasks. In addition to including data transmitted from an external device received by the repulsive spherical axial passive magnetic bearing design device, the data 223 can also include data collected by its own input and output interface 25, etc.

[0104] The steps of the method or algorithm described in conjunction with the embodiments disclosed herein may be implemented directly using hardware, a software module executed by a processor, or a combination of the two. The software module may be placed in a random access memory (RAM), a memory, a read-only memory (ROM), an electrically programmable ROM, an electrically erasable programmable ROM, a register, a hard disk, a removable disk, a CD-ROM, or any other form of storage medium known in the art.

[0105] Furthermore, an embodiment of the present application also discloses a computer-readable storage medium, in which a computer program is stored. When the computer program is loaded and executed by a processor, the steps of the method for designing a repulsive spherical axial passive magnetic bearing disclosed in any of the aforementioned embodiments are implemented.

[0106] Finally, it should be noted that, in this article, relational terms such as first and second, etc. are only used to distinguish one entity or operation from another entity or operation, and do not necessarily require or imply any such actual relationship or order between these entities or operations. Moreover, the terms "include", "comprise" or any other variants thereof are intended to cover non-exclusive inclusion, so that a process, method, article or device including a series of elements includes not only those elements, but also other elements not explicitly listed, or also includes elements inherent to such process, method, article or device. In the absence of further restrictions, the elements defined by the sentence "comprise a ..." do not exclude the presence of other identical elements in the process, method, article or device including the elements.

[0107] The above is a detailed introduction to the design method, device, equipment and storage medium of a repulsive spherical axial passive magnetic bearing provided by the present invention. Specific examples are used in this article to illustrate the principles and implementation methods of the present invention. The description of the above embodiments is only used to help understand the method of the present invention and its core idea; at the same time, for general technical personnel in this field, according to the idea of ​​the present invention, there will be changes in the specific implementation method and application scope. In summary, the content of this specification should not be understood as a limitation on the present invention.

Claims

1. A design method for a repulsive spherical axial passive magnetic bearing, characterized in that: include: Establishing a magnetic charge density expression of a repulsive spherical axial passive magnetic bearing permanent magnet and an axial permanent magnet repulsion integration unit, and generating an axial permanent magnet repulsion mathematical model based on the axial permanent magnet repulsion integration unit; Setting axial parameters, generating multiple sets of axial magnetic bearing capacity expressions using the magnetic charge density expression and the axial permanent magnet repulsion integral unit, and constructing a bearing stiffness analysis model based on the axial permanent magnet repulsion mathematical model and the multiple sets of axial magnetic bearing capacity expressions; The bearing stiffness analysis model is calculated using preset design parameters and design margins to obtain the magnetic bearing stiffness design parameters, the number of groups of permanent magnets of the repulsive spherical axial passive magnetic bearing is calculated based on the magnetic bearing stiffness design parameters, and the repulsive spherical axial passive magnetic bearing is designed based on the number of groups.

2. The design method of the repulsive spherical axial passive magnetic bearing according to claim 1 is characterized in that: The method for establishing a magnetic charge density expression of a repulsive spherical axial passive magnetic bearing permanent magnet and an axial permanent magnet repulsive force integral unit comprises: Establishing a force model between magnetic charges at any two points, and constructing a magnetic charge density expression between the center and the surface of a repulsive spherical axial passive magnetic bearing permanent magnet based on the force model; An axial permanent magnet repulsion integration unit is established based on the preset air gap length of the magnetic bearing.

3. The design method of the repulsive spherical axial passive magnetic bearing according to claim 1 is characterized in that: The magnetic charge density expression is: ； in, is the magnetic charge density at the center of the permanent magnet of the repulsive spherical axial passive magnetic bearing, is the vacuum magnetic permeability, M is the magnetization intensity, is the residual magnetization of the permanent magnet.

4. The design method of the repulsive spherical axial passive magnetic bearing according to claim 1 is characterized in that: The bearing capacity expressions of the multiple groups of axial magnetic bearings are: ； in, is the number of permanent magnet groups in the spherical axial passive magnetic bearing, and are the angles corresponding to the upper and lower spherical single-layer magnetic rings of the spherical passive magnetic bearing permanent magnet, and are the upper spherical surface magnetic charge density and the lower spherical surface magnetic charge density at the center of each set of permanent magnet structures, is the vacuum permeability, is the axial air gap between the end faces of the permanent magnet ring of the spherical axial passive magnetic bearing, z is the axial position change between the upper and lower spherical surfaces of the spherical axial passive magnetic bearing, is the spatial angle between the magnetic charges at any two points on the upper and lower end surfaces of the permanent magnet ring of the spherical axial passive magnetic bearing, and They are respectively the radii of the upper and lower spherical surfaces of the permanent magnet ring of the spherical passive magnetic bearing.

5. The design method of the repulsive spherical axial passive magnetic bearing according to claim 1 is characterized in that: The bearing stiffness analysis model is constructed based on the axial permanent magnet repulsion mathematical model and the multiple groups of axial magnetic bearing capacity expressions, including: The axial permanent magnet repulsion mathematical model is analytically calculated, and the multiple groups of axial magnetic bearing capacity expressions are derived to construct a bearing stiffness analysis model.

6. The design method of a repulsive spherical axial passive magnetic bearing according to any one of claims 1 to 5, characterized in that: The bearing stiffness analysis model is: ； in, is the bearing stiffness of the spherical axial passive magnetic bearing, is the safety factor, is the axial load force, m is the weight of the moving part of the magnetic suspension measurement platform, g is the gravitational acceleration, is the maximum permissible axial displacement.

7. A repulsive spherical axial passive magnetic bearing design device, characterized in that: include: A repulsion mathematical model establishment module is used to establish a magnetic charge density expression of a repulsion type spherical axial passive magnetic bearing permanent magnet and an axial permanent magnet repulsion integral unit, and generate an axial permanent magnet repulsion mathematical model based on the axial permanent magnet repulsion integral unit; A stiffness analysis model building module is used to set axial parameters, generate multiple sets of axial magnetic bearing capacity expressions using the magnetic charge density expression and the axial permanent magnet repulsion integral unit, and build a bearing stiffness analysis model based on the axial permanent magnet repulsion mathematical model and the multiple sets of axial magnetic bearing capacity expressions; A magnetic bearing design module is used to calculate the bearing stiffness analysis model using preset design parameters and design margins to obtain the magnetic bearing stiffness design parameters, calculate the number of groups of permanent magnets of the repulsive spherical axial passive magnetic bearing according to the magnetic bearing stiffness design parameters, and design a repulsive spherical axial passive magnetic bearing based on the number of groups.

8. The repulsive spherical axial passive magnetic bearing design device according to claim 7 is characterized in that: The repulsive force mathematical model building module includes: A magnetic charge density expression construction module is used to establish a force model between magnetic charges at any two points, and to construct a magnetic charge density expression between the center and the surface of a repulsive spherical axial passive magnetic bearing permanent magnet based on the force model; The repulsion integration unit establishing module is used to establish the axial permanent magnet repulsion integration unit based on the preset magnetic bearing air gap length.

9. An electronic device, characterized in that: include: Memory, used to store computer programs; A processor, configured to execute the computer program to implement the method for designing a repulsive spherical axial passive magnetic bearing according to any one of claims 1 to 6.

10. A computer-readable storage medium, characterized in that: Used to store computer programs; wherein, when the computer program is executed by a processor, the method for designing a repulsive spherical axial passive magnetic bearing as described in any one of claims 1 to 6 is implemented.

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