Method for calculating induced voltage output by three-coil abrasive particle sensor under different abrasive particle diameter direction positions

Abstract

The invention discloses a method for calculating output induced voltage of a three-coil abrasive particle sensor under different abrasive particle size direction positions, and belongs to the field of three-coil electromagnetic abrasive particle sensors. The problems that existing research on a three-coil sensor is not consistent with a real physical field on the basis of an idealized model and the dynamic influence of the radial position of a mill particle is neglected are solved. The method comprises the following steps: calculating radial and axial magnetic field distribution of a single coil according to global parameters of the three-coil abrasive particle sensor; simplifying a calculation formula through translation and scale transformation; performing vector superposition on the radial magnetic field and the axial magnetic field of the single coil to obtain total magnetic field distribution of the single coil; calculating a radial magnetic field, an axial magnetic field and a total magnetic field of the three-coil abrasive particle sensor based on a magnetic field superposition principle; calculating the shape coefficients of the excitation coil and the induction coil, the magnetic susceptibility of the abrasive particles and the radial and axial induction voltages under different abrasive particle radial positions; and summing the scalar quantity to obtain the induced voltage output by the three-coil abrasive particle sensor at different abrasive particle diameter direction positions. The method is used in the engine operation state monitoring field.

Description

Technical Field

[0001] The present invention belongs to the field of three - coil electromagnetic abrasive sensors, and particularly relates to a method for calculating the output induced voltage of a three - coil abrasive sensor at different radial positions of abrasives. Background Art

[0002] During the operation of mechanical equipment, the wear of key components (such as bearings, gears, etc.) will cause metal abrasives to be generated in the lubricating oil, and their size, quantity, and distribution characteristics can directly reflect the health status of the equipment. By real - time monitoring of the abrasives, early wear faults can be identified in a timely manner, avoiding equipment performance degradation or sudden shutdowns, thereby reducing maintenance costs and improving system reliability. The three - coil electromagnetic abrasive sensor generates an induced voltage signal by detecting the magnetic field disturbance caused by the passing of abrasives, and has the characteristics of non - intrusion and high sensitivity, becoming one of the core technologies for wear state monitoring. However, existing research has significant limitations: traditional methods usually assume that the magnetic field inside the sensor is a uniform field, and only calculate the induced voltage when the abrasive passes along the axis of the sensor. However, in practical applications, the magnetic field distribution of the three - coil sensor shows significant non - uniform characteristics, and the abrasives flow randomly in the lubricating oil and may pass through the detection area of the sensor at any radial position. Ignoring the non - uniformity of the magnetic field distribution and the radial position difference of the abrasives will lead to a deviation between the induced voltage model and the measured value, reducing the detection accuracy and even causing misjudgment or missed detection.

[0003] Currently, domestic research on three - coil sensors is mostly based on idealized models, whose magnetic field simplification assumptions do not match the actual physical field distribution, and the dynamic influence of the radial position of abrasives on the detection signal is not considered. For example, the induced voltage formula derived by the existing technology through the uniform magnetic field assumption is only applicable to abrasives near the axis, and the random distribution characteristics of abrasives in the actual oil circuit make it difficult for this model to accurately describe the sensor output under real working conditions. Therefore, it is necessary to establish a model that comprehensively considers the magnetic field distribution inside the three - coil and the output induced voltage when abrasives flow through the sensor at different radial positions, so as to more accurately explain the detection mechanism of the three - coil abrasive sensor, reveal the law of the output induced voltage of the three - coil abrasive sensor at different radial positions of abrasives, and provide a theoretical basis for improving the detection accuracy of the three - coil abrasive sensor. Summary of the Invention

[0004] In view of this, the present invention aims to propose a method for calculating the output induced voltage of a three - coil abrasive sensor at different radial positions of abrasives, so as to solve the problem that domestic research on three - coil sensors is mostly based on idealized models, whose magnetic field simplification assumptions do not match the actual physical field distribution, and the dynamic influence of the radial position of abrasives on the detection signal is not considered.

[0005] To achieve the above object, the present invention adopts the following technical solutions: A method for calculating the output induced voltage of a three-coil abrasive grain sensor at different radial positions of abrasive grains, the method comprising:

[0006] Step S1: According to the global parameters of the three-coil abrasive grain sensor input, use the Biot-Savart law to calculate the radial magnetic field and axial magnetic field distributions of a single coil;

[0007] Step S2: Simplify the radial magnetic field and axial magnetic field calculation formulas through translation transformation, and introduce scale change and constructed functions to further simplify the radial magnetic field and axial magnetic field calculation formulas;

[0008] Step S3: Calculate the radial magnetic field and axial magnetic field containing singularity parts;

[0009] Step S4: Vectorially superimpose the calculated radial magnetic field and axial magnetic field of a single coil to obtain the total magnetic field distribution of a single coil;

[0010] Step S5: Based on the superposition principle of magnetic fields, calculate the radial magnetic field, axial magnetic field and total magnetic field of the three-coil abrasive grain sensor;

[0011] Step S6: Calculate the shape coefficients of the excitation coil and induction coil at different radial positions of abrasive grains, and calculate the magnetic susceptibility of the abrasive grains at the same time;

[0012] Step S7: According to the shape coefficients of the excitation coil, the shape coefficients of the induction coil and the magnetic susceptibility of the abrasive grains at different radial positions of abrasive grains, calculate the radial induced voltage and axial induced voltage generated by the abrasive grain sensor at different radial positions of abrasive grains;

[0013] Step S8: Perform scalar summation on the radial induced voltage and axial induced voltage to obtain the magnitude of the output induced voltage of the three-coil abrasive grain sensor at different radial positions of abrasive grains.

[0014] Furthermore, a preferred method is also proposed. The global parameters include: sensor excitation coil parameters, sensor induction coil parameters, sensor structure parameters, excitation current parameters, abrasive grain property parameters.

[0015] Furthermore, a preferred method is also proposed. The calculation of the radial magnetic field and axial magnetic field distributions of a single coil in Step S1 includes:

[0016]

[0017] Among them, B ρ is the radial magnetic field strength of a single coil, B z is the axial magnetic field strength, R mean is the average radius of the coil, d is the coil thickness, μ0 is the vacuum permeability, ρ, is the source point Q(ρ, ) The coordinate components, where r and z are the coordinate components of the field point P(r, 0, z).

[0018] Furthermore, a preferred method is also proposed. The step S2 includes:

[0019]

[0020] where R1, R2, Z1, Z2, R, Z, and R0 are the introduced scale change amounts.

[0021] Furthermore, a preferred method is also proposed. The step S5 includes:

[0022]

[0023] where is the radial magnetic field intensity generated by two excitation coils, is the axial magnetic field intensity, is the radial magnetic field intensity generated by the sensor, is the axial magnetic field intensity generated by the sensor.

[0024] Furthermore, a preferred method is also proposed. In the step S6, calculating the shape coefficients of the excitation coil and the induction coil at different radial positions of the abrasive grains includes:

[0025]

[0026] where B EC1 is the total magnetic field intensity of excitation coil 1, B EC2 is the total magnetic field intensity of excitation coil 2, B RC is the total magnetic field intensity of the induction coil, I EC1 is the excitation current magnitude of excitation coil 1, I EC2 is the excitation current magnitude of excitation coil 2, I RC is the assumed unit excitation of the induction coil, h EC1 is the shape coefficient of excitation coil 1, h EC2 is the shape coefficient of excitation coil 2, h RC1 is the shape coefficient of the induction coil.

[0027] Furthermore, a preferred method is also proposed. The magnetic susceptibility K of the abrasive grains in the step S6 p is:

[0028]

[0029] where a is the equivalent spherical particle size of the abrasive grain, μ r is the relative magnetic permeability of the abrasive grain, and k is a parameter.

[0030] Further, a preferred method is also proposed, and step S7 includes:

[0031]

[0032] where u ρ (r) is the radial induced voltage, u z (r) is the axial induced voltage, u(r) is the total induced voltage, r is the radial component of the field point P, J is the current density, ω is the current excitation frequency, K p is the magnetic susceptibility of the abrasive grain, is the introduced function.

[0033] Based on the same inventive concept, the present invention also provides a computer device, including a memory and a processor. A computer program is stored in the memory. When the processor runs the computer program stored in the memory, the processor executes a method for calculating the output induced voltage of a three-coil abrasive grain sensor at different radial positions of the abrasive grain as described in any one of the above.

[0034] Based on the same inventive concept, the present invention also provides a computer-readable storage medium. A computer program is stored on the computer-readable storage medium. When the computer program is run by the processor, the steps of a method for calculating the output induced voltage of a three-coil abrasive grain sensor at different radial positions of the abrasive grain as described in any one of the above are executed.

[0035] Compared with the prior art, the beneficial effects of the present invention are:

[0036] 1. The traditional method simplifies the internal magnetic field of the sensor into a uniform field, resulting in a deviation between the calculated magnetic field strength and the actual distribution. A method for calculating the output induced voltage of a three-coil abrasive grain sensor at different radial positions of the abrasive grain proposed by the present invention is based on the Biot-Savart law, combines translational transformation, scale change and the constructed integral function, accurately solves the radial and axial magnetic field components of a single coil, and calculates the total magnetic field distribution of the three-coil sensor through the superposition principle, fully reflecting the non-uniform characteristics of the magnetic field. This method effectively avoids the model error caused by the uniform field assumption and lays a foundation for the accurate calculation of the induced voltage.

[0037] 2. The prior art only considers the ideal situation where the abrasive grain moves along the axis of the sensor, while the method proposed by the present invention introduces the radial position variable of the abrasive grain, establishes a coupled calculation model of the radial and axial induced voltages through the dynamic correlation of the shape coefficient and the magnetic susceptibility, and can quantify the disturbance signal of the abrasive grain at any radial position by using this model, solving the problem of detection sensitivity fluctuation caused by the traditional method ignoring the radial position and significantly reducing the misjudgment risk in actual working conditions.

[0038] 3. Aiming at the singularity and high complexity problems existing in the triple integral in magnetic field calculation, the method proposed by the present invention transforms the original integral formula into a piecewise summation form through translation transformation, scale change and construction of an analytical function, avoiding the instability of direct numerical integration and greatly reducing the consumption of computing resources.

[0039] 4. By quantifying the contribution of the radial magnetic field component to the induced voltage, the method proposed by the present invention first clarifies the cooperative action mechanism between the radial magnetic field and the axial magnetic field in the three-coil sensor. This mechanism provides a theoretical basis for optimizing the coil arrangement, excitation parameters and the structure of the induction coil. For example, by adjusting the coil gap or turn distribution, the detection sensitivity of a specific radial region can be enhanced targeted.

[0040] The present invention is applied to the field of engine operating state monitoring. BRIEF DESCRIPTION OF THE DRAWINGS

[0041] The drawings constituting a part of the present invention are used to provide a further understanding of the present invention. The schematic embodiments and descriptions thereof of the present invention are used to explain the present invention and do not constitute an improper limitation to the present invention. In the drawings:

[0042] Figure 1 is a specific calculation method flowchart of the output induced voltage of the three-coil abrasive particle sensor at different radial positions of abrasive particles according to the present invention;

[0043] Figure 2 is any position of the coil cross-section in the ρz plane under a cross-section according to the present invention, Figure 2 (a) Before translation, the centroid of the coil cross-section is located on the ρ axis, Figure 2 (b) After translation, the field point P is located on the ρ axis. DETAILED DESCRIPTION OF THE EMBODIMENTS

[0044] The following will clearly and completely elaborate on the technical solutions in the embodiments of the present invention in conjunction with the drawings in the embodiments of the present invention. It should be noted that, without conflict, the embodiments and features in the embodiments of the present invention can be combined with each other. The described embodiments are only part of the embodiments of the present invention, rather than all of the embodiments.

[0045] Embodiment 1. Refer to Figure 1 to illustrate this embodiment. A method for calculating the output induced voltage of a three-coil abrasive particle sensor at different radial positions of abrasive particles according to this embodiment, the method includes:

[0046] Step S1: According to the global parameters of the input three-coil abrasive particle sensor, use the Biot-Savart law to calculate the distribution of the radial magnetic field and the axial magnetic field of a single coil;

[0047] Step S2: Simplify the calculation formulas of the radial magnetic field and the axial magnetic field through translational transformation, and further simplify the calculation formulas of the radial magnetic field and the axial magnetic field by introducing scale change and constructed functions;

[0048] Step S3: Calculate the radial magnetic field and the axial magnetic field of the part containing singularities;

[0049] Step S4: Vectorially superpose the calculated radial magnetic field and axial magnetic field of a single coil to obtain the total magnetic field distribution of a single coil;

[0050] Step S5: Calculate the radial magnetic field, axial magnetic field and total magnetic field of the three-coil abrasive sensor based on the superposition principle of magnetic fields;

[0051] Step S6: Calculate the shape coefficients of the excitation coil and the induction coil at different radial positions of the abrasive particles, and calculate the magnetic susceptibility of the abrasive particles at the same time;

[0052] Step S7: Calculate the radial induced voltage and axial induced voltage generated by the abrasive sensor at different radial positions of the abrasive particles according to the shape coefficients of the excitation coil, the shape coefficients of the induction coil and the magnetic susceptibility of the abrasive particles at different radial positions of the abrasive particles;

[0053] Step S8: Perform scalar summation on the radial induced voltage and the axial induced voltage to obtain the magnitude of the output induced voltage of the three-coil abrasive sensor at different radial positions of the abrasive particles.

[0054] The specific process of the above method is as follows:

[0055] According to the structural parameters of the input three-coil abrasive sensor, use the Biot-Savart law to calculate the radial magnetic field and axial magnetic field distributions of a single coil;

[0056] Since the magnetic field to be solved is a triple integral and difficult to calculate, a translational transformation is introduced, and the calculation formulas of the radial magnetic field and the axial magnetic field are simplified through the translational transformation;

[0057] To further simplify the calculation formulas of the radial magnetic field and the axial magnetic field, scale change and constructed functions are introduced to further simplify the calculation formulas of the radial magnetic field and the axial magnetic field;

[0058] Since there are singularities in the simplified calculation formulas of the radial magnetic field and the axial magnetic field, calculate the radial magnetic field and the axial magnetic field of the part containing singularities;

[0059] Vectorially superpose the calculated radial magnetic field and axial magnetic field of a single coil to obtain the total magnetic field distribution of a single coil;

[0060] The three - coil abrasive particle sensor is composed of three independent coils. Among them, the two sides are excitation coils. The radial magnetic field and axial magnetic field of the three - coil abrasive particle sensor are formed by the superposition of the magnetic fields generated by the two - side excitation coils. Using the principle of magnetic field superposition, the radial magnetic field, axial magnetic field and total magnetic field of the three - coil abrasive particle sensor are calculated;

[0061] Based on the magnetic field calculation results of the three - coil abrasive particle sensor, the shape factors of the excitation coil and the induction coil at different radial positions of the abrasive particles are calculated, and the magnetic susceptibility of the abrasive particles is calculated at the same time;

[0062] Using the shape factor of the excitation coil, the shape factor of the induction coil and the magnetic susceptibility of the abrasive particles at different radial positions of the abrasive particles, the radial induced voltage and axial induced voltage generated by the abrasive particle sensor at different radial positions of the abrasive particles are calculated;

[0063] Based on the radial induced voltage and the axial induced voltage, the scalar sum of the two can be used to calculate the magnitude of the output induced voltage of the three - coil abrasive particle sensor at different radial positions of the abrasive particles.

[0064] For the problem that the traditional method simplifies the internal magnetic field of the sensor into a uniform field, resulting in a deviation between the calculated magnetic field intensity and the actual distribution, the method proposed in this embodiment is based on the Biot - Savart law, combined with translation transformation, scale change and the constructed integral function, to accurately solve the radial and axial magnetic field components of a single coil, and calculate the total magnetic field distribution of the three - coil sensor through the superposition principle, fully reflecting the non - uniform characteristics of the magnetic field. This method effectively avoids the model error caused by the uniform - field assumption and lays a foundation for the accurate calculation of the induced voltage.

[0065] The prior art only considers the ideal situation where the abrasive particles move along the axis of the sensor. However, in this embodiment, a variable of the radial position of the abrasive particles is introduced. Through the dynamic correlation of the shape factor and the magnetic susceptibility, a coupled calculation model of the radial and axial induced voltages is established. Using this model, the perturbation signal of the abrasive particles at any radial position can be quantified, solving the problem of detection sensitivity fluctuation caused by the traditional method ignoring the radial position and significantly reducing the misjudgment risk in actual working conditions.

[0066] Aiming at the singularity and high complexity problems existing in the triple integral in magnetic field calculation, in this embodiment, through translation transformation, scale change and constructing an analytical function, the original integral formula is transformed into a form of piece - wise summation, avoiding the instability of direct numerical integration and greatly reducing the consumption of computing resources.

[0067] In the method proposed in this embodiment, by quantifying the contribution of the radial magnetic field component to the induced voltage, the present invention first clarifies the cooperative action mechanism between the radial magnetic field and the axial magnetic field in the three - coil sensor. This mechanism provides a theoretical basis for optimizing the coil arrangement, excitation parameters and the structure of the induction coil. For example, by adjusting the coil gap or turn distribution, the detection sensitivity of a specific radial region can be enhanced targeted.

[0068] Embodiment 2. This embodiment further limits a method for calculating the output induced voltage of a three - coil abrasive grain sensor at different radial positions of abrasive grains. The global parameters include: sensor excitation coil parameters, sensor induction coil parameters, sensor structure parameters, excitation current parameters, and abrasive grain property parameters.

[0069] Embodiment 3. This embodiment further limits a method for calculating the output induced voltage of a three - coil abrasive grain sensor at different radial positions of abrasive grains. The calculation of the radial magnetic field and axial magnetic field distribution of a single coil in step S1 includes:

[0070]

[0071] Among them, B ρ is the radial magnetic field intensity of a single coil, B z is the axial magnetic field intensity, R mean is the average radius of the coil, d is the coil thickness, μ0 is the vacuum permeability, ρ, is the coordinate component of the source point Q(ρ, ) coordinate component, r, z are the coordinate components of the field point P(r, 0, z).

[0072] Embodiment 4. This embodiment further limits a method for calculating the output induced voltage of a three - coil abrasive grain sensor at different radial positions of abrasive grains. Step S2 includes:

[0073]

[0074] Among them, R1, R2, Z1, Z2, R, Z, R0 are the introduced scale change amounts.

[0075] Embodiment 5. This embodiment further limits a method for calculating the output induced voltage of a three - coil abrasive grain sensor at different radial positions of abrasive grains. Step S5 includes:

[0076]

[0077] Among them, is the radial magnetic field intensity generated by two excitation coils, is the axial magnetic field intensity, is the radial magnetic field intensity generated by the sensor, is the axial magnetic field intensity generated by the sensor.

[0078] Embodiment 6. This embodiment further limits a method for calculating the induced voltage output by a three-coil abrasive grain sensor at different radial positions of abrasive grains described in Embodiment 3. Calculating the shape coefficients of the excitation coil and the induction coil at different radial positions of abrasive grains in step S6 includes:

[0079]

[0080] Among them, B EC1 is the total magnetic field intensity of the excitation coil 1, B EC2 is the total magnetic field intensity of the excitation coil 2, B RC is the total magnetic field intensity of the induction coil, I EC1 is the magnitude of the excitation current of the excitation coil 1, I EC2 is the magnitude of the excitation current of the excitation coil 2, I RC is the assumed unit excitation of the induction coil, h EC1 is the shape coefficient of the excitation coil 1, h EC2 is the shape coefficient of the excitation coil 2, h RC1 is the shape coefficient of the induction coil.

[0081] Embodiment 7. This embodiment further limits a method for calculating the induced voltage output by a three-coil abrasive grain sensor at different radial positions of abrasive grains described in Embodiment 6. The magnetic susceptibility K of the abrasive grains in step S6 p is:

[0082]

[0083] Among them, a is the equivalent spherical particle size of the abrasive grain, μ r is the relative magnetic permeability of the abrasive grain, and k is a parameter.

[0084] Embodiment 8. This embodiment further limits a method for calculating the induced voltage output by a three-coil abrasive grain sensor at different radial positions of abrasive grains described in Embodiment 3. Step S7 includes:

[0085]

[0086] Among them, u ρ (r) is the radial induced voltage, u z (r) is the axial induced voltage, u(r) is the total induced voltage, r is the radial component of the field point P, J is the current density, ω is the current excitation frequency, K p is the magnetic susceptibility of the abrasive grain, is the introduced function.

[0087] Embodiment Nine. A computer device described in this embodiment includes a memory and a processor. A computer program is stored in the memory. When the processor runs the computer program stored in the memory, the processor executes a method for calculating the induced voltage output by a three-coil abrasive particle sensor at different radial positions of abrasive particles according to any one of Embodiments One to Eight.

[0088] Embodiment Ten. A computer-readable storage medium described in this embodiment has a computer program stored thereon. When the computer program is run by a processor, it executes the steps of a method for calculating the induced voltage output by a three-coil abrasive particle sensor at different radial positions of abrasive particles according to any one of Embodiments One to Eight.

[0089] Embodiment Eleven. This embodiment discloses a method for calculating the induced voltage output by a three-coil abrasive particle sensor at different radial positions of abrasive particles. As Figure 1 、 Figure 2 shown, the specific steps are as follows:

[0090] Step One: Input global parameters into the magnetic field calculation module of the three-coil inductive abrasive particle sensor. According to the structural parameters of the input three-coil abrasive particle sensor, introduce translational changes as Figure 2 shown. Simplify the radial magnetic field and axial magnetic field calculation formulas through translational transformation.

[0091] Introduce scale changes and constructed functions to further simplify the radial magnetic field and axial magnetic field calculation formulas

[0092] Since there are singularities in the simplified radial magnetic field and axial magnetic field calculation formulas, calculate the radial magnetic field and axial magnetic field containing the singular part.

[0093] Vectorially superimpose the calculated single-coil radial magnetic field and axial magnetic field to obtain the total magnetic field distribution of a single coil.

[0094] The three-coil abrasive particle sensor is composed of three independent coils, with excitation coils on both sides. The radial magnetic field and axial magnetic field of the three-coil abrasive particle sensor are formed by the superposition of the magnetic fields generated by the two side excitation coils. Using the principle of magnetic field superposition, calculate the radial magnetic field, axial magnetic field, and total magnetic field of the three-coil abrasive particle sensor.

[0095] Specifically, the specific working process of the three-coil inductive abrasive particle sensor magnetic field calculation module is as Figure 2 shown:

[0096] It should be noted that the calculation formula for the radial magnetic field intensity B ρ and axial magnetic field intensity B z distribution of a single coil using the Biot-Savart law is:

[0097]

[0098] Among them, the current density J = (N1 × I) / 4h(R out -R in ), where N1 is the number of turns of the excitation coil, I is the magnitude of the excitation current, h is half the length of the coil, R out is the outer diameter of the coil, and R in is the inner diameter of the coil. R mean is the average radius of the coil, d is the thickness of the coil, and μ0 is the magnetic permeability of vacuum. ρ, are the coordinate components of the source point Q(ρ, ), respectively, and r and z are the coordinate components of the field point P(r, 0, z), where

[0099] Furthermore, the coordinate of the field point before translation is P(r, 0, z), the coordinate of the field point after translation is P(r, 0, 0), and the coordinate of the source point is Q(ρ, ζ - z). The simplified radial magnetic field strength B ρ and the axial magnetic field strength B z are calculated by the following formulas:

[0100]

[0101] Among them, Furthermore, by introducing scale changes, the simplified radial magnetic field strength B ρ and the axial magnetic field strength B z are calculated by the following formulas:

[0102]

[0103] Among them, R1, R2, Z1, Z2, R, Z, and R0 are the introduced scale change quantities,

[0104] Furthermore, by introducing construction functions, the simplified radial magnetic field strength B ρ and the axial magnetic field strength B z are calculated by the following formulas:

[0105]

[0106] Among them, the expressions of the introduced functions P ρ (R, Z) and the function P z (R, Z) are shown as follows:

[0107]

[0108] Furthermore, the expression of the total magnetic field strength B of a single coil is as follows;

[0109]

[0110] Among them, B ρ is the radial magnetic field strength and B z is the axial magnetic field strength.

[0111] Furthermore, the radial magnetic field strength of the three-coil abrasive sensor is calculated using the superposition principle of magnetic fields axial magnetic field strength and the total magnetic field strength B sum The calculation formula is:

[0112]

[0113] Among them, is the radial magnetic field strength generated by the two excitation coils, is the axial magnetic field strength, is the radial magnetic field strength generated by the sensor, is the axial magnetic field strength generated by the sensor. The total magnetic field B generated by the sensor sum is obtained by calculating through the radial magnetic field and the axial magnetic field generated by the sensor.

[0114] The global parameters described in this embodiment include: (1) Sensor excitation coil parameters: coil inner diameter, coil outer diameter, coil length, coil thickness, number of coil turns; (2) Sensor induction coil parameters: coil inner diameter, coil outer diameter, coil length, coil thickness, number of coil turns; (3) Sensor structure parameters: coil gap; (4) Excitation current parameters: current magnitude, current frequency; (5) Abrasive particle property parameters: abrasive particle size, abrasive particle magnetic permeability, abrasive particle conductivity; (6) Other parameters: vacuum magnetic permeability.

[0115] Step 2: Based on obtaining the magnetic field strengths of each coil and the magnetic field strength of the abrasive sensor, calculate the shape factor of each coil and the magnetic permeability of the abrasive particles;

[0116] Using the shape factor of the excitation coil, the shape factor of the induction coil, and the magnetic susceptibility of the abrasive particles at different radial positions of the abrasive particles, calculate the radial induced voltage and axial induced voltage generated by the abrasive sensor at different radial positions of the abrasive particles;

[0117] Based on the radial induced voltage and the axial induced voltage, a scalar sum of the two can be performed to calculate the magnitude of the output induced voltage of the three-coil abrasive sensor at different radial positions of the abrasive particles.

[0118] The shape factor h of the two excitation coils at different radial positions of the abrasive particles is calculated based on the magnetic field strength at different radial positions of the abrasive particles EC1, h EC2 with the shape factor h of the induction coil RC1 The expression is as follows:

[0119]

[0120] where B EC1 is the total magnetic field intensity of excitation coil 1, B EC2 is the total magnetic field intensity of excitation coil 2, B RC is the total magnetic field intensity of the induction coil, I EC1 is the magnitude of the excitation current of excitation coil 1, I EC2 is the magnitude of the excitation current of excitation coil 2, I RC is the assumed unit excitation of the induction coil, h EC1 is the shape factor of excitation coil 1, h EC2 is the shape factor of excitation coil 2, h RC1 is the shape factor of the induction coil.

[0121] Furthermore, the magnetic susceptibility K of the abrasive grain P The expression is as follows:

[0122]

[0123] where a is the equivalent spherical particle size of the abrasive grain, μ r is the relative magnetic permeability of the abrasive grain, and the assumed parameter k 2 = -jωμ r μ0σ where ω is the excitation current frequency and σ is the electrical conductivity of the abrasive grain.

[0124] Furthermore, the radial induced voltage u ρ (r), the axial induced voltage u z (r) and the total induced voltage u(r) have the following expressions:

[0125]

[0126] where r is the radial component of the field point P and is also the position of the abrasive grain, J is the current density, μ0 is the permeability of free space, ω is the current excitation frequency, K p is the magnetic susceptibility of the abrasive grain, is the introduced function.

[0127] If the calculation of the induced voltage output by the abrasive grain sensor at different radial positions of the abrasive grain has been completed, then output and save the magnitude results of the induced voltage output at the same radial positions of the abrasive grain.

[0128] As can be seen from the above technical solutions, the present invention discloses a method for calculating the induced voltage output by a three-coil abrasive particle sensor at different radial positions of abrasive particles. Compared with the prior art, it has the following beneficial effects:

[0129] 1. The magnetic field coupling effect of the excitation coils on both sides of the three-coil abrasive particle sensor is fully considered, and at the same time, the radial magnetic field B of the three-coil abrasive particle sensor is introduced ρ , making the magnetic field distribution of the three-coil abrasive particle sensor more in line with the actual situation

[0130] 2. When considering the radial magnetic field B ρ acts, when the abrasive particle passes through the three coils, the radial induced voltage u generated by the induction coil ρ .

[0131] 3. The magnitude of the induced voltage output by the three-coil abrasive particle sensor at different radial positions of the abrasive particles is considered, making the analysis of the induced voltage output by the three-coil abrasive particle sensor more accurate.

[0132] Those skilled in the art should understand that the embodiments of the present disclosure can be provided as a method, a system, or a computer program product. Therefore, the present disclosure can take the form of a complete hardware embodiment, a complete software embodiment, or an embodiment combining software and hardware aspects. Moreover, the present disclosure can take the form of a computer program product implemented on one or more computer-usable storage media (including but not limited to disk memory, CD-ROM, optical memory, etc.) containing computer-usable program code.

[0133] The present disclosure is described with reference to the flowcharts and / or block diagrams of methods, devices (systems), and computer program products according to the embodiments of the present disclosure. It should be understood that each process and / or block in the flowchart and / or block diagram, and the combination of processes and / or blocks in the flowchart and / or block diagram, can be realized by computer program instructions. These computer program instructions can be provided to the processor of a general-purpose computer, a special-purpose computer, an embedded processor, or other programmable data processing devices to generate a machine, so that the instructions executed by the processor of the computer or other programmable data processing devices generate means for realizing the functions specified in one process Figure 1 one process or multiple processes and / or blocks Figure 1 one block or multiple blocks Figure 1 one process or multiple processes and / or blocks Figure 1 one block or multiple blocks

[0134] These computer program instructions can also be loaded onto a computer or other programmable data processing apparatus, so that a series of operation steps are executed on the computer or other programmable apparatus to produce a computer-implemented process, thereby the instructions executed on the computer or other programmable apparatus provide steps for realizing the functions specified in one process or a plurality of processes and / or one block or a plurality of blocks. Figure 1 one process or a plurality of processes and / or Figure 1 steps of the functions specified in one block or a plurality of blocks.

[0135] Finally, it should be noted that the above embodiments are only used to illustrate the technical solutions of the present disclosure rather than to limit the scope of its protection. Although the present disclosure has been described in detail with reference to the above embodiments, those of ordinary skill in the art should understand that: after reading the present disclosure, those skilled in the art can still make various changes, modifications or equivalent replacements to the specific implementation manners of the invention, but these changes, modifications or equivalent replacements are all within the scope of protection of the claims pending for disclosure.

Claims

1. A method for calculating the output induced voltage of a three-coil abrasive grain sensor at different radial positions of abrasive grains, characterized in that, The method includes: Step S1: According to the global parameters of the three-coil abrasive sensor input, calculate the radial magnetic field and axial magnetic field distributions of a single coil using the Biot-Savart law; Step S2: Simplify the radial magnetic field and axial magnetic field calculation formulas through translation transformation, and further simplify the radial magnetic field and axial magnetic field calculation formulas by introducing scale changes and constructed functions; Step S3: Calculate the radial magnetic field and axial magnetic field with singularity parts; Step S4: Vectorially superimpose the calculated radial magnetic field and axial magnetic field of a single coil to obtain the total magnetic field distribution of a single coil; Step S5: Based on the superposition principle of magnetic fields, calculate the radial magnetic field, axial magnetic field, and total magnetic field of the three-coil abrasive sensor; Step S6: Calculate the shape factors of the excitation coil and induction coil at different radial positions of the abrasive, and calculate the magnetic susceptibility of the abrasive at the same time; Step S7: According to the shape factor of the excitation coil, the shape factor of the induction coil, and the magnetic susceptibility of the abrasive at different radial positions of the abrasive, calculate the radial induced voltage and axial induced voltage generated by the abrasive sensor at different radial positions of the abrasive; Step S8: Perform scalar summation on the radial induced voltage and axial induced voltage to obtain the magnitude of the output induced voltage of the three-coil abrasive sensor at different radial positions of the abrasive.

2. The method for calculating the output induced voltage of a three-coil abrasive grain sensor at different radial positions of abrasive grains according to claim 1, characterized in that The global parameters include: sensor excitation coil parameters, sensor induction coil parameters, sensor structure parameters, excitation current parameters, abrasive property parameters.

3. A method for calculating the output induced voltage of a three-coil abrasive sensor at different radial positions of abrasive grains according to claim 1, characterized in that, The calculation of the radial magnetic field and axial magnetic field distributions of a single coil in Step S1 includes: Among them, B ρ is the radial magnetic field strength of a single coil, B z is the axial magnetic field strength, R mean is the average radius of the coil, d is the coil thickness, μ0 is the magnetic permeability of vacuum, ρ, ζ is the coordinate component of the source point coordinate components, r, z are the coordinate components of the field point P(r, 0, z).

4. A method for calculating the output induced voltage of a three-coil abrasive grain sensor at different radial positions of abrasive grains according to claim 3, characterized in that Step S2 includes: Wherein, R1, R2, Z1, Z2, R, Z, R0 are the introduced scale change amounts.

5. A method for calculating the output induced voltage of a three-coil abrasive grain sensor at different radial positions of abrasive grains according to claim 1, characterized in that Step S5 includes: Among them, is the radial magnetic field intensity generated by two excitation coils, is the axial magnetic field intensity, is the radial magnetic field intensity generated by the sensor, is the axial magnetic field intensity generated by the sensor.

6. A method for calculating the output induced voltage of a three-coil abrasive grain sensor at different radial positions of abrasive grains according to claim 3, characterized in that The calculation of the shape factors of the excitation coil and induction coil at different radial positions of the abrasive in Step S6 includes: Among them, B EC1 is the total magnetic field intensity of the excitation coil 1, B EC2 is the total magnetic field intensity of the excitation coil 2, B RC is the total magnetic field intensity of the induction coil, I EC1 is the magnitude of the excitation current of the excitation coil 1, I EC2 is the magnitude of the excitation current of the excitation coil 2, I RC is the assumed unit excitation of the induction coil, h EC1 is the shape factor of the excitation coil 1, h EC2 is the shape factor of the excitation coil 2, is the shape factor of the induction coil.

7. A method for calculating the output induced voltage of a three-coil abrasive grain sensor at different radial positions of abrasive grains according to claim 6, characterized in that The magnetic susceptibility K of the abrasive grains in the step S6 p is as follows: Among them, a is the equivalent spherical particle size of the abrasive grains, μ r is the relative magnetic permeability of the abrasive grains, and k is a parameter.

8. A method for calculating the output induced voltage of a three-coil abrasive grain sensor at different radial positions of abrasive grains according to claim 3, characterized in that, Step S7 includes: where, u ρ (r) is the radial induced voltage, u z (r) is the axial induced voltage, u(r) is the total induced voltage, r is the radial component of the field point P, J is the current density, ω is the current excitation frequency, K p is the magnetic susceptibility of the abrasive grain, is the introduced function.

9. A computer device, characterized in that: It includes a memory and a processor. A computer program is stored in the memory. When the processor runs the computer program stored in the memory, the processor executes a method for calculating the output induced voltage of a three-coil abrasive sensor at different radial positions of the abrasive according to any one of claims 1-8.

10. A computer-readable storage medium, characterized in that, A computer program is stored on the computer-readable storage medium. When the computer program is run by the processor, it executes the steps of a method for calculating the output induced voltage of a three-coil abrasive sensor at different radial positions of the abrasive according to any one of claims 1-8.

Images