Common-mode voltage evaluation method and device based on plug-in integrated common-mode filter topology

By using an insertion-integrated common-mode filter topology, a full-order inductor matrix is ​​constructed to evaluate common-mode voltage characteristics, solving the problem of inaccurate common-mode voltage prediction in existing technologies and achieving accurate analysis and interference suppression of the high-frequency electromagnetic characteristics of motors.

CN123050309APending Publication Date: 2026-11-06TSINGHUA UNIVERSITY
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Patent Information

Application Number
CN202611204158.X
Authority / Receiving Office
CN · China
Patent Type
Applications(China)
Current Assignee / Owner
Filing Date
2026-08-10
Publication Date
2026-11-06

AI Technical Summary

Technical Problem

Existing technologies struggle to accurately predict the transient peak value and frequency domain evolution of common-mode voltage under dynamic speed regulation conditions during motor drive, and cannot effectively suppress problems such as bearing erosion, insulation aging, and electromagnetic interference. This is mainly because they neglect the complex electromagnetic mutual inductance coupling effect inside the windings and the influence of rotor position fluctuations.

Method used

A method based on an insertion-type integrated common-mode filter topology is adopted. By obtaining the equivalent circuit model of the integrated common-mode filter topology, a full-order inductance matrix is ​​constructed to reflect the mutual inductance coupling characteristics between winding branch units. The transfer function of common-mode voltage and multi-phase input voltage is derived to evaluate the common-mode voltage characteristics.

Benefits of technology

It improves the accuracy of common-mode voltage characteristic assessment, can take into account the impact of electromagnetic coupling between windings on voltage conduction path and frequency domain response, and provides accurate theoretical support for designing anti-interference structures.

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Abstract

The application provides a common-mode voltage evaluation method and device based on an insertion type integrated common-mode filter topology, and belongs to the technical field of motor design. The method comprises the following steps: obtaining an equivalent circuit model of the integrated common-mode filter topology, wherein the equivalent circuit model comprises a plurality of branch units, each branch unit corresponds to different functions, and the branch units comprise winding branch units; obtaining an inductance parameter set; constructing a full-order inductance matrix according to the equivalent circuit model and the inductance parameter set; obtaining a target branch impedance expression of each phase of each branch unit according to the equivalent circuit model and the full-order inductance matrix; obtaining a transfer function between a common-mode voltage and a common-mode component of a multi-phase input voltage according to the target branch impedance expression; and evaluating the common-mode voltage characteristics of the insertion type integrated common-mode filter topology according to the transfer function. The accuracy of common-mode voltage characteristic evaluation can be improved.
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Description

Technical Field

[0001] This application belongs to the field of motor design technology, specifically relating to a common-mode voltage evaluation method and apparatus based on an insert-type integrated common-mode filter topology. Background Technology

[0002] With the continuous development of aviation electrification and high-power-density motor systems, the high-amplitude common-mode voltage generated during motor drive can easily cause problems such as bearing erosion, insulation aging, and severe electromagnetic interference. To effectively suppress such interference, the industry has gradually developed integrated design schemes that combine the internal windings of the motor with the filtering structure. In the early design and performance analysis of such systems, theoretical models are typically needed to predict the distribution and evolution of the common-mode voltage. However, existing theoretical modeling methods often employ lumped parameters for static equivalent simplification, which has significant limitations.

[0003] On the one hand, existing analytical methods often ignore or greatly simplify the complex electromagnetic mutual inductance coupling effect between different winding regions inside the motor, resulting in the model being unable to accurately depict the actual conduction and distribution path of voltage inside the motor under high-frequency switching excitation. On the other hand, existing methods usually use a fixed average inductance value for calculation, failing to account for the physical fact that the underlying electromagnetic parameters fluctuate at high frequencies with the rotor's mechanical position due to the non-uniformity of the air gap during actual operation.

[0004] This simplified approach, which is static and lacks details on electromagnetic coupling, directly makes it difficult for existing technologies to accurately predict the transient peak value of the common-mode voltage and the true frequency domain evolution under dynamic speed regulation conditions. As a result, it cannot provide reliable theoretical support for the precise analysis of the high-frequency electromagnetic characteristics of motors and the parameter design of related anti-interference structures. Summary of the Invention

[0005] This application provides a common-mode voltage evaluation method and apparatus based on an insert-integrated common-mode filter topology to improve the accuracy of common-mode voltage characteristic evaluation.

[0006] This application provides a common-mode voltage evaluation method based on an insertion-type integrated common-mode filter topology, including: Obtain the equivalent circuit model of the integrated common-mode filter topology. The equivalent circuit model includes multiple branch units, each of which corresponds to a different function. The branch unit includes a winding branch unit. Obtain the inductor parameter set; A full-order inductance matrix is ​​constructed based on the equivalent circuit model and the inductance parameter set. The full-order inductance matrix is ​​used to reflect the mutual inductance coupling characteristics between each winding branch unit due to the interaction of current and magnetic flux. Based on the equivalent circuit model and the full-order inductance matrix, obtain the target branch impedance expression for each phase of each branch unit; The transfer function between the common-mode voltage and the common-mode component of the multiphase input voltage is obtained based on the target branch impedance expression. The common-mode voltage characteristics of the plug-in integrated common-mode filter topology are evaluated based on the transfer function.

[0007] According to the common-mode voltage evaluation method based on an inserted integrated common-mode filter topology provided in this application, obtaining the equivalent circuit model of the integrated common-mode filter topology includes: functionally dividing the motor windings of the integrated common-mode filter topology to obtain the winding branch units, wherein the winding branch units include filter winding branch units and motor winding branch units; obtaining a first electrical connection relationship between the filter winding branch units and the motor winding branch units; obtaining a second electrical connection relationship between external RC branch units and the filter winding branch units and the motor winding branch units, wherein the external RC branch units are used to characterize the common-mode filtering path; and generating the equivalent circuit model of the integrated common-mode filter topology based on the first electrical connection relationship and the second electrical connection relationship.

[0008] According to the common-mode voltage evaluation method based on the plug-in integrated common-mode filter topology provided in this application, the step of constructing a full-order inductance matrix based on the equivalent circuit model and the inductance parameter set includes: constructing a full-order inductance matrix model based on the mutual inductance coupling relationship in the equivalent circuit model, wherein the full-order inductance matrix model takes three-phase filter winding branch units and three-phase motor winding branch units as matrix element objects, and the matrix elements include the self-inductance terms of each phase of each winding branch unit, and the mutual inductance terms between two matrix element objects other than the same phase of the same winding branch unit; obtaining the self-inductance parameters and the mutual inductance parameters from the inductance parameter set; and substituting the self-inductance parameters and the mutual inductance parameters into the full-order inductance matrix model to obtain the full-order inductance matrix.

[0009] According to the common-mode voltage evaluation method based on the plug-in integrated common-mode filter topology provided in this application, before substituting the self-inductance parameter and the mutual inductance parameter into the full-order inductance matrix model to obtain the full-order inductance matrix, the method further includes: obtaining the self-inductance parameter expression for each phase of each winding branch unit under rotor position change conditions; obtaining the mutual inductance parameter expression for any two phases of any two winding branch units under rotor position change conditions; substituting the self-inductance parameter and the mutual inductance parameter into the full-order inductance matrix model to obtain the full-order inductance matrix includes: obtaining the self-inductance value of each phase of each winding branch unit and the mutual inductance value between any two phases of any two winding branch units according to the self-inductance parameter expression, the self-inductance parameter, the mutual inductance parameter expression, and the mutual inductance parameter; substituting the self-inductance value of each winding branch unit and the mutual inductance value between any two phases of any two winding branch units into the full-order inductance matrix model to obtain the full-order inductance matrix.

[0010] According to the common-mode voltage evaluation method based on the plug-in integrated common-mode filter topology provided in this application, the step of obtaining the self-inductance value of each phase of each winding branch unit and the mutual inductance value between any two phases of any two winding branch units based on the self-inductance parameter expression, the self-inductance parameter, the mutual inductance parameter expression, and the mutual inductance parameter includes: obtaining the self-inductance DC component and at least one self-inductance harmonic component in the self-inductance parameter; obtaining the mutual inductance DC component and at least one mutual inductance harmonic component in the mutual inductance parameter; obtaining the motor rotor position angle; obtaining the angle parameter between any two phases of any two winding branch units; substituting the self-inductance DC component, at least one self-inductance harmonic component, and the motor rotor position angle into the self-inductance parameter expression to obtain the self-inductance value of each phase of each winding branch unit; and substituting the mutual inductance DC component, at least one mutual inductance harmonic component, the motor rotor position angle, and the angle parameter into the mutual inductance parameter expression to obtain the mutual inductance value between any two phases of any two winding branch units.

[0011] According to the common-mode voltage evaluation method based on the insertion-type integrated common-mode filter topology provided in this application, the acquisition of the inductor parameter set includes: performing electromagnetic simulation calculations on each winding branch unit under different branch structure configuration conditions, and the electromagnetic coupling relationship between each winding branch unit, to obtain simulation results; and acquiring the inductor parameter set under each branch structure configuration condition based on the simulation results. The inductor parameter set includes the self-inductance parameter of each phase of each winding branch unit and the mutual inductance parameter between any two phases of any two winding branch units.

[0012] According to the common-mode voltage evaluation method based on the plug-in integrated common-mode filter topology provided in this application, the step of obtaining the target branch impedance expression for each phase of each branch unit based on the equivalent circuit model and the full-order inductance matrix includes: obtaining the mutual inductance coupling relationship and mutual inductance decoupling relationship between each winding branch unit based on the equivalent circuit model; obtaining the reference branch impedance expression for each branch unit based on the mutual inductance coupling relationship and the mutual inductance decoupling relationship; and obtaining the target branch impedance expression for each phase of each branch unit based on the reference branch impedance expression and the full-order inductance matrix.

[0013] According to the common-mode voltage evaluation method based on the insertion-integrated common-mode filter topology provided in this application, the step of obtaining the target branch impedance expression for each phase of each branch unit based on the reference branch impedance expression and the full-order inductance matrix includes: performing the following operations for each phase of each branch unit to obtain the target branch impedance expression for each phase of each branch unit: obtaining the current reference branch impedance expression of the current branch unit; obtaining the associated inductance parameter associated with the current phase of the current branch unit from the full-order inductance matrix, the associated inductance parameter including self-inductance parameter and / or mutual inductance parameter; and generating the target branch impedance expression for the current phase of the current branch unit based on the current reference branch impedance expression and the associated inductance parameter.

[0014] According to the common-mode voltage evaluation method based on the plug-in integrated common-mode filter topology provided in this application, the step of obtaining the transfer function between the common-mode voltage and the common-mode component of the multiphase input voltage based on the target branch impedance expression includes: obtaining the multiphase voltage input to the motor, the branch current of each branch unit, the back electromotive force of each winding branch unit, and the node voltages of the branch units other than the winding branch units among the multiple branch units; constructing node voltage equations based on the multiphase voltage, the branch current, the back electromotive force, the node voltages, and the target branch impedance expression; obtaining the correlation algebraic expression corresponding to the common-mode voltage, wherein the correlation algebraic expression is generated based on the definition of the common-mode voltage; and obtaining the transfer function between the common-mode voltage and the common-mode component of the multiphase input voltage based on the node voltage equation and the correlation algebraic expression.

[0015] According to the common-mode voltage evaluation method based on the insertion-type integrated common-mode filter topology provided in this application, the evaluation of the common-mode voltage characteristics of the insertion-type integrated common-mode filter topology based on the transfer function includes: converting the transfer function to the frequency domain for solution, and obtaining the response curve of the common-mode voltage amplitude changing with frequency under the condition of mutual inductance coupling; obtaining the amplitude attenuation law, cutoff frequency characteristics, and resonant point characteristics based on the response curve; and / or, converting the transfer function to the frequency domain for solution, and obtaining the comparison response curve under the condition of not considering mutual inductance coupling, and obtaining the frequency domain difference characteristics based on the comparison response curve.

[0016] According to the common-mode voltage evaluation method based on the plug-in integrated common-mode filter topology provided in this application, the method further includes: obtaining multiple common-mode voltage characteristics of the integrated common-mode filter topology under different winding structure configuration conditions or different branch parameter conditions; comparing and evaluating the multiple common-mode voltage characteristics to obtain evaluation results, wherein the evaluation results are used to guide the design or optimization of the integrated common-mode filter topology.

[0017] This application also provides a common-mode voltage evaluation device based on an insertion-type integrated common-mode filter topology, comprising: The first acquisition unit is used to acquire the equivalent circuit model of the integrated common-mode filter topology. The equivalent circuit model includes multiple branch units, each of which corresponds to a different function. The branch unit includes a winding branch unit. The second acquisition unit is used to acquire the inductor parameter set; The construction unit is used to construct a full-order inductance matrix based on the equivalent circuit model and the inductance parameter set. The full-order inductance matrix is ​​used to reflect the mutual inductance coupling characteristics between each winding branch unit due to the interaction of current and magnetic flux. The third acquisition unit is used to acquire the target branch impedance expression for each phase of each branch unit based on the equivalent circuit model and the full-order inductance matrix. The fourth acquisition unit is used to acquire the transfer function between the common-mode voltage and the common-mode component of the multiphase input voltage according to the target branch impedance expression; An evaluation unit is used to evaluate the common-mode voltage characteristics of the plug-in integrated common-mode filter topology based on the transfer function.

[0018] This application also provides an electronic device, including a memory, a processor, and a computer program stored in the memory and executable on the processor, wherein the processor executes the computer program to implement the common-mode voltage evaluation method based on the plug-in integrated common-mode filter topology as described above.

[0019] This application also provides a non-transitory computer-readable storage medium having a computer program stored thereon, which, when executed by a processor, implements the common-mode voltage evaluation method based on the plug-in integrated common-mode filter topology as described above.

[0020] This application also provides a computer program product, including a computer program that, when executed by a processor, implements the common-mode voltage evaluation method based on the plug-in integrated common-mode filter topology as described above.

[0021] The common-mode voltage evaluation method and apparatus based on the plug-in integrated common-mode filter topology provided in this application obtains the equivalent circuit model of the integrated common-mode filter topology, constructs a full-order inductance matrix reflecting the mutual inductance coupling characteristics between winding branch units based on the inductance parameter set, and derives the transfer function between the common-mode voltage and the common-mode component of the multiphase input voltage from the target branch impedance expression. This enables the common-mode voltage evaluation process to take into account the influence of electromagnetic coupling between windings on the voltage conduction path and frequency domain response, thereby improving the accuracy of common-mode voltage characteristic evaluation. Attached Figure Description

[0022] To more clearly illustrate the technical solutions in this application or the prior art, the drawings used in the description of the embodiments or the prior art will be briefly introduced below. Obviously, the drawings described below are some embodiments of this application. For those skilled in the art, other drawings can be obtained based on these drawings without creative effort.

[0023] Figure 1 This is one of the flowcharts illustrating the common-mode voltage evaluation method based on an insertion-integrated common-mode filter topology provided in this application.

[0024] Figure 2 This is a schematic diagram of the winding division provided in this application.

[0025] Figure 3 This is a schematic diagram of the equivalent circuit model provided in this application.

[0026] Figure 4 This is a schematic diagram of the mutual inductance coupling and decoupling relationship between branch units provided in this application.

[0027] Figure 5 This is a schematic diagram of the equivalent three-phase circuit and RC branch containing mutual inductance provided in this application.

[0028] Figure 6 This is a schematic diagram of the characteristic curves proposed in this application.

[0029] Figure 7 This is the second flowchart of the common-mode voltage evaluation method based on the plug-in integrated common-mode filter topology provided in this application.

[0030] Figure 8 This is a block diagram of the functional units of the common-mode voltage evaluation device based on the plug-in integrated common-mode filter topology provided in this application.

[0031] Figure 9 This is a schematic diagram of the structure of the electronic device provided in this application. Detailed Implementation

[0032] To make the objectives, technical solutions, and advantages of this application clearer, the technical solutions of this application will be clearly and completely described below with reference to the accompanying drawings. Obviously, the described embodiments are only some embodiments of this application, not all embodiments. Based on the embodiments of this application, all other embodiments obtained by those skilled in the art without creative effort are within the scope of protection of this application.

[0033] The terms "first," "second," etc., in the specification, claims, and accompanying drawings of this application are used to distinguish different objects, not to describe a specific order. Furthermore, the terms "comprising" and "having," and any variations thereof, are intended to cover non-exclusive inclusion. For example, a process, method, system, product, or apparatus that includes a series of steps or units is not limited to the listed steps or units, but may optionally include steps or units not listed, or may optionally include other steps or units inherent to these processes, methods, products, or apparatuses.

[0034] In this document, the term "embodiment" means that a particular feature, structure, or characteristic described in connection with an embodiment may be included in at least one embodiment of this application. The appearance of this phrase in various places throughout the specification does not necessarily refer to the same embodiment, nor is it a separate or alternative embodiment mutually exclusive with other embodiments. It will be explicitly and implicitly understood by those skilled in the art that the embodiments described herein can be combined with other embodiments.

[0035] Because the existing scheme ignores the complex electromagnetic mutual inductance coupling effect inside the winding and uses static average parameters that do not take into account rotor position fluctuations, it is difficult to accurately predict the characteristics of common-mode voltage under dynamic operating conditions.

[0036] To address the aforementioned issues, this application provides a common-mode voltage evaluation method and apparatus based on an insert-type integrated common-mode filter topology. The following detailed explanation of this application is provided in conjunction with the accompanying drawings.

[0037] Please see Figure 1 , Figure 1 This is one of the flowcharts illustrating the common-mode voltage characteristic evaluation method provided in this application. The common-mode voltage evaluation method based on an inserted integrated common-mode filter topology includes the following steps.

[0038] S101, obtain the equivalent circuit model of the integrated common-mode filter topology.

[0039] The equivalent circuit model includes multiple branch units, each corresponding to a different function. These branch units include winding branch units. The winding branch units may include filter branch units and motor branch units, corresponding to common-mode filtering and electromagnetic energy conversion functions, respectively. Figure 2 As shown, Figure 2 The red portion represents the filter branch winding that performs common-mode filtering, while the black portion represents the motor branch winding that performs electromagnetic energy conversion. f This represents the number of coils or stator slots allocated as filter branches in the total winding of each phase. m This represents the number of coils / stator slots allocated in the total winding of each phase for use as the main branch of the motor.

[0040] S102, obtain the inductor parameter set.

[0041] The inductance parameter set includes the self-inductance parameter components of each phase of each winding branch unit under the current branch structure configuration conditions, as well as the mutual inductance parameter components between each phase of each winding branch unit.

[0042] S103, construct a full-order inductance matrix based on the equivalent circuit model and the inductance parameter set.

[0043] The full-order inductance matrix is ​​used to reflect the mutual inductance coupling characteristics between each winding branch unit caused by the interaction of current and magnetic flux.

[0044] S104. Based on the equivalent circuit model and the full-order inductance matrix, obtain the target branch impedance expression for each phase of each branch unit.

[0045] S105, Obtain the transfer function between the common-mode voltage and the common-mode component of the multiphase input voltage according to the target branch impedance expression; Common-mode voltage (CMV) refers to the voltage at the neutral point of the motor, while input voltage refers to the multi-phase voltage input to the motor, such as three-phase voltage. The transfer function indicates the common-mode components of the multi-phase input voltage, which, after being conducted through the branch units in the integrated common-mode filter topology, form the corresponding common-mode voltage.

[0046] S106, Evaluate the common-mode voltage characteristics of the plug-in integrated common-mode filter topology based on the transfer function.

[0047] Among them, the plug-in integrated common-mode filter topology is a filter circuit structure that integrates common-mode chokes and common-mode filter capacitors into a single unit, connected in series to the signal or power transmission path, to suppress common-mode electromagnetic interference. Common-mode voltage characteristics can include the response characteristics of common-mode voltage as a function of frequency, specifically covering the amplitude variation, cutoff frequency, and resonant characteristics of the common-mode voltage.

[0048] As can be seen, in this embodiment, by obtaining the equivalent circuit model of the integrated common-mode filter topology, and constructing a full-order inductance matrix reflecting the mutual inductance coupling characteristics between winding branch units based on the inductance parameter set, and then deriving the transfer function between the common-mode voltage and the common-mode component of the multi-phase input voltage from the target branch impedance expression, the common-mode voltage evaluation process can take into account the influence of electromagnetic coupling between windings on the voltage conduction path and frequency domain response, thereby improving the accuracy of common-mode voltage characteristic evaluation.

[0049] In one possible embodiment, obtaining the equivalent circuit model of the integrated common-mode filter topology includes: functionally partitioning the motor windings of the integrated common-mode filter topology to obtain the winding branch units, wherein the winding branch units include filter winding branch units and motor winding branch units; obtaining a first electrical connection relationship between the filter winding branch units and the motor winding branch units; obtaining a second electrical connection relationship between external resistor-capacitor branch units and the motor winding branch units, wherein the external resistor-capacitor branch units are used to characterize the common-mode filter path; and generating the equivalent circuit model of the integrated common-mode filter topology based on the first electrical connection relationship and the second electrical connection relationship.

[0050] In applications requiring high power density and high integration in aviation electrification, the motor windings and common-mode filter structure can be integrated into a single design. Part of the windings can function as inductors in the common-mode filter, thus being designated as a separate filter branch unit. This filter branch unit can handle common-mode filtering. The remaining windings can be designated as motor branch units, which can perform electromagnetic energy conversion to directly undertake core tasks such as propulsion and powering critical airborne equipment.

[0051] Obtaining an external RC branch unit can be achieved by introducing resistive and capacitive elements at the corresponding nodes of the motor windings to form an external or integrated RC circuit. This RC branch can work in conjunction with the aforementioned filter branch unit to establish a complete path blocking mechanism, thereby blocking the conduction of CMV, which is prone to causing insulation aging or electromagnetic interference (EMI). Electrical connections can include the series and parallel connection topology between each branch group unit, the position of the lead wires of each phase winding, and the specific physical wiring method.

[0052] For example Figure 3 As shown, Figure 3 The dashed boxes clearly delineate the internal structures of the three phases, namely phases A, B, and C. Taking phase A as an example, the winding section inside the motor that performs common-mode filtering can be divided into a filter branch. This filter branch unit can be accurately characterized by connecting the equivalent impedance Za1 of the filter branch in series with the back electromotive force Ea1 of the filter branch. Simultaneously, the core winding section that actually realizes electromagnetic energy conversion can be divided into a motor branch. This motor branch unit can be physically characterized by connecting the equivalent impedance Za2 of the motor branch in series with the back electromotive force Ea2 of the motor branch. The AC power supply at the front end is converted into DC power by a rectifier, and a stable DC bus voltage vDC is maintained on the DC bus through positive capacitor Cp and negative capacitor Cn. The inverter then converts this DC power into multi-phase high-frequency AC pulses input to the motor system. Each output terminal of the inverter can first be connected to the corresponding phase filter branch unit, and then this filter branch unit is connected in series with the downstream motor branch unit. As shown in the integrated filter area in the figure, an external RC branch unit can be led out at the connection node between the filter branch unit and the motor branch unit. This external RC branch can be characterized by the equivalent impedance Zfa of the RC branch, and together with the front-end filter branch unit, it forms a complete integrated filter, thereby providing a low-impedance bypass discharge path for the common-mode voltage generated inside the system. In this three-phase equivalent circuit model, the ends of each phase motor branch unit can form a neutral point through a star connection, and a common-mode voltage node voltage vcmv inevitably converges at this neutral point. At the same time, there is also a parasitic capacitance Cpara between this common-mode voltage node and the system ground point, which is used to characterize the high-frequency parasitic coupling effect. By rationally dividing the above functional units and fully integrating the specific electrical parameters Za1, Ea1, Zfa, Za2, Ea2, vDC, Cp, Cn, vcmv and Cpara, the equivalent circuit model can accurately map the voltage distribution law and common-mode electromagnetic conduction path of each branch inside the real motor, thus laying a solid physical network foundation for subsequent modeling and characteristic evaluation.

[0053] By using the modeling method that integrates functional partitioning, wiring topology, and filtering paths, a complete equivalent circuit network containing filtering branches, motor branches, and external resistor-capacitor branches can be constructed, thereby transforming the motor from a fixed passive load into a low-level network model with fine internal electrical characteristics.

[0054] In one possible embodiment, constructing a full-order inductance matrix based on the equivalent circuit model and the inductance parameter set includes: constructing a full-order inductance matrix model based on the mutual inductance coupling relationship in the equivalent circuit model, wherein the full-order inductance matrix model uses three-phase filter winding branch units and three-phase motor winding branch units as matrix element objects, and the matrix elements include the self-inductance term of each phase of each winding branch unit, and the mutual inductance term between two matrix element objects other than the same phase of the same winding branch unit; obtaining the self-inductance parameter and the mutual inductance parameter from the inductance parameter set; and substituting the self-inductance parameter and the mutual inductance parameter into the full-order inductance matrix model to obtain the full-order inductance matrix.

[0055] The mutual inductance coupling relationship in the equivalent circuit model indicates the electromagnetic correlation formed by the interaction of current and magnetic flux between different winding branch units. Since both the filter winding branch unit and the motor winding branch unit are part of the motor winding in the integrated common-mode filter topology, when a current change occurs in one winding branch unit, the generated magnetic flux can link with other winding branch units, thus creating mutual inductance between different branches. Based on this mutual inductance coupling relationship, the three-phase filter winding branch unit and the three-phase motor winding branch unit can be used as matrix element objects to construct a full-order inductance matrix model to describe the electromagnetic interaction of three-phase segmented windings. This full-order inductance matrix model Z... 6x6 It can be represented as: in, and These represent the inductance of the A-phase filter branch and the inductance of the motor branch, respectively. These represent the mutual inductance between the A-phase filter branch and the B-phase filter branch, the C-phase filter branch, the A-phase motor branch, the B-phase motor branch, and the C-phase motor branch, respectively. These represent the mutual inductance between the A-phase motor branch and the B-phase motor branch, the C-phase motor branch, the A-phase filter branch, the B-phase filter branch, and the C-phase filter branch, respectively.

[0056] As can be seen, this scheme constructs a full-order inductance matrix model with three-phase filter winding branch units and three-phase motor winding branch units as matrix element objects based on the mutual inductance coupling relationship in the equivalent circuit model. By substituting the self-inductance parameters and mutual inductance parameters in the inductance parameter set into this model, the self-inductance relationship of each phase of each winding branch unit and the mutual inductance relationship between different matrix element objects can be incorporated into a unified matrix, thereby improving the completeness of the full-order inductance matrix in representing the electromagnetic interaction relationship between winding branch units.

[0057] In one possible embodiment, before substituting the self-inductance parameter and the mutual inductance parameter into the full-order inductance matrix model to obtain the full-order inductance matrix, the method further includes: obtaining the self-inductance parameter expression for each phase of each winding branch unit under rotor position variation conditions; obtaining the mutual inductance parameter expression for any two phases of any two winding branch units under rotor position variation conditions; substituting the self-inductance parameter and the mutual inductance parameter into the full-order inductance matrix model to obtain the full-order inductance matrix includes: obtaining the self-inductance value of each phase of each winding branch unit and the mutual inductance value between any two phases of any two winding branch units based on the self-inductance parameter expression, the self-inductance parameter, the mutual inductance parameter expression, and the mutual inductance parameter; substituting the self-inductance value of each winding branch unit and the mutual inductance value between any two phases of any two winding branch units into the full-order inductance matrix model to obtain the full-order inductance matrix.

[0058] Rotor position change refers to the change in the position angle of the motor rotor relative to the winding branch unit. Due to factors such as the non-uniformity of the motor air gap, the self-inductance of the winding branch unit and the mutual inductance between the winding branch units can change with the rotor position.

[0059] As can be seen, by obtaining the expressions for self-inductance parameters and mutual inductance parameters under rotor position change conditions, and substituting the corresponding self-inductance and mutual inductance values ​​into the full-order inductance matrix model, this scheme can enable the full-order inductance matrix to reflect the influence of rotor position change on inductance relationship, thereby enhancing the characterization ability of electromagnetic coupling relationship between winding branch units.

[0060] In one possible embodiment, obtaining the self-inductance value of each phase of each winding branch unit and the mutual inductance value between any two phases of any two winding branch units based on the self-inductance parameter expression, the self-inductance parameter, the mutual inductance parameter expression, and the mutual inductance parameter includes: obtaining the self-inductance DC component and at least one self-inductance harmonic component in the self-inductance parameter; obtaining the mutual inductance DC component and at least one mutual inductance harmonic component in the mutual inductance parameter; obtaining the motor rotor position angle; obtaining the angle parameter between any two phases of any two winding branch units; substituting the self-inductance DC component, at least one self-inductance harmonic component, and the motor rotor position angle into the self-inductance parameter expression to obtain the self-inductance value of each phase of each winding branch unit; and substituting the mutual inductance DC component, at least one mutual inductance harmonic component, the motor rotor position angle, and the angle parameter into the mutual inductance parameter expression to obtain the mutual inductance value between any two phases of any two winding branch units.

[0061] The self-inductance DC component can refer to the fundamental component of the self-inductance value that does not change with the rotor position angle. The self-inductance harmonic component can refer to the component of the self-inductance value that changes periodically with the rotor position angle. At least one self-inductance harmonic component can include the second harmonic component and the fourth harmonic component. Correspondingly, the mutual inductance DC component can refer to the fundamental component of the mutual inductance value that does not change with the rotor position angle. The mutual inductance harmonic component can refer to the component of the mutual inductance value that changes periodically with the rotor position angle. At least one mutual inductance harmonic component can include the second harmonic component and the fourth harmonic component. The self-inductance parameter expression can be expressed as: Where L represents the self-inductance of the corresponding phase of the winding branch unit. L0 represents the DC component of the self-inductance. L2 represents the second harmonic component of the self-inductance. L4 represents the fourth harmonic component of the self-inductance. θ represents the rotor position angle of the motor. This expression allows the self-inductance to be determined as the rotor position angle changes.

[0062] The expression for mutual inductance parameters can be: Here, M can represent the mutual inductance value between any two phases of any two winding branch units. M0 can represent the DC component of the mutual inductance. M2 can represent the second harmonic component of the mutual inductance. M4 can represent the fourth harmonic component of the mutual inductance. The angle difference parameter between different branch units can include information used to characterize the phase deviation between a specific phase and each winding segment in spatial distribution, such as the angle α between the new reference axis and the axis of phase A winding. and the angle difference α between the two windings diff This expression allows us to determine the corresponding mutual inductance value based on the motor rotor position angle, the reference shaft position, and the angular difference between the windings.

[0063] As can be seen, by substituting the self-inductance DC component, self-inductance harmonic component, mutual inductance DC component, mutual inductance harmonic component, and motor rotor position angle into the corresponding expressions, this scheme can obtain the self-inductance and mutual inductance values ​​that vary with the motor rotor position angle, thereby enabling the inductance parameters to reflect the influence of rotor position changes on the electromagnetic coupling relationship of the winding branch unit.

[0064] In one possible embodiment, obtaining the inductance parameter set includes: performing electromagnetic simulation calculations on each of the winding branch units under different branch structure configurations, and the electromagnetic coupling relationship between the winding branch units, to obtain simulation results; obtaining the inductance parameter set under each branch structure configuration based on the simulation results, wherein the inductance parameter set includes the self-inductance parameter of each phase of each winding branch unit, and the mutual inductance parameter between any two phases of any two winding branch units.

[0065] The electromagnetic simulation can be implemented using the Finite Element Analysis (FEA) method. Different branch structure configuration conditions can include structural configuration conditions that affect the branch electromagnetic parameters, such as the winding segmentation method, winding position relationship, number of turns configuration, geometric dimension configuration, or phase arrangement relationship of the filter winding branch unit and the motor winding branch unit. Simulation results can include the self-inductance parameters of each phase of each winding branch unit, and the mutual inductance parameters between any two phases of any two winding branch units. For example, simulation results can include the self-inductance parameters L0, L2, and L4 of each winding branch unit, and the mutual inductance parameters M0, M2, and M4 between different winding branch units. Here, L0 can represent the DC component of the self-inductance parameter, and L2 and L4 can represent the second and fourth harmonic components of the self-inductance parameter, respectively. M0 can represent the DC component of the mutual inductance parameter, and M2 and M4 can represent the second and fourth harmonic components of the mutual inductance parameter, respectively.

[0066] As can be seen, this scheme performs electromagnetic simulation on the winding branch units and their electromagnetic coupling relationships under different branch structure configurations, and obtains the self-inductance parameters and mutual inductance parameters based on the simulation results. This allows the inductance parameter set to correspond to specific branch structure configurations, thereby improving the specificity of the parameters used in the subsequent construction of the full-order inductance matrix.

[0067] In one possible embodiment, obtaining the target branch impedance expression for each phase of each branch unit based on the equivalent circuit model and the full-order inductance matrix includes: obtaining the mutual inductance coupling relationship and mutual inductance decoupling relationship between each winding branch unit based on the equivalent circuit model; obtaining the reference branch impedance expression for each branch unit based on the mutual inductance coupling relationship and the mutual inductance decoupling relationship; and obtaining the target branch impedance expression for each phase of each branch unit based on the reference branch impedance expression and the full-order inductance matrix.

[0068] This involves determining the mutual inductance coupling relationship between the filter winding branch unit and the motor winding branch unit. The mutual inductance coupling relationship indicates the electromagnetic association between the two winding branch units caused by magnetic flux linkage. The mutual inductance decoupling relationship indicates the processing relationship for equivalently distributing the mutual inductance effect to the filter branch, motor branch, and external RC branch. Through this processing, the mutual inductance term can be converted into the equivalent inductance term in the impedance of each branch, so as to obtain the reference branch impedance expression later.

[0069] like Figure 4 As shown in (a), R1 represents the resistance value in the filter winding branch unit. L1 represents the inductance value in the filter winding branch unit. EMF1 represents the back electromotive force (EMF) corresponding to the filter winding branch unit. R2 represents the resistance value in the motor winding branch unit. L2 represents the inductance value in the motor winding branch unit. EMF2 represents the back EMF corresponding to the motor winding branch unit. M represents the mutual inductance between the filter winding branch unit and the motor winding branch unit. f This can represent the resistance value in an external RC branch unit. C f I1 can represent the capacitance value in an external RC branch unit. I2 can represent the filter branch current. RC It can represent the current in the external RC branch unit. v1, v2 and v3 can represent the corresponding node voltages in the equivalent circuit model. Figure 4 (a) in the diagram can represent the branch relationship before mutual inductance decoupling. The filter branch and the motor branch are coupled through mutual inductance M.

[0070] like Figure 4 As shown in (b), after mutual inductance decoupling, the mutual inductance M can be equivalently represented in the inductance terms of the filter branch and the motor branch. The inductance term of the filter branch can be expressed by L1 as L1+M. The inductance term of the motor branch can be expressed by L2 as L2+M. An equivalent inductance term -M can be introduced into the external RC branch unit. Thus, the mutual inductance effect originally located between the filter winding branch unit and the motor winding branch unit can be converted into equivalent impedance terms in each branch. This decoupling relationship can be used to obtain the reference branch impedance expression for each branch unit.

[0071] based on Figure 4 The mutual inductance coupling and decoupling relationships shown can be used to establish branch voltage relationships. These branch voltage relationships can be expressed as: Here, s can represent a complex frequency domain variable. The above relationship can be further written in the form of a branch impedance matrix: Here, Z can represent the branch impedance matrix. 11 Z 12 Z 21 and Z 22 The values ​​can represent impedance elements in a matrix. `s` can represent a complex frequency domain variable. `L1` can represent the inductance term of the filter winding branch unit. `L2` can represent the inductance term of the motor winding branch unit. `R1` and `R2` can represent the resistance values ​​in the corresponding winding branch units. f This can represent the resistance value in an external RC branch unit. C f It can represent the capacitance value in an external RC branch unit. M can represent the mutual inductance term between winding branch units.

[0072] The reference branch impedance expression can represent the branch impedance relationship without incorporating specific matrix elements of the full-order inductance matrix. Based on the mutual inductance decoupling relationship, the RC branch impedance can be expressed as: The impedance of the filter branch can be expressed as: The motor branch impedance can be expressed as: Among them, Z RC Z1 can represent the impedance of the RC branch. Z2 can represent the impedance of the filter branch. R can represent the impedance of the motor branch. f This can represent the resistance value in an external RC branch unit. C f R1 and R2 can represent the capacitance value in the external RC branch unit. R1 and R2 can represent the resistance value in the corresponding winding branch unit. L1 and L2 can represent the self-inductance term in the corresponding winding branch unit. M can represent the mutual inductance term between winding branch units. s can represent the complex frequency domain variable.

[0073] As can be seen, this scheme determines the mutual inductance coupling and decoupling relationships between winding branch units based on the equivalent circuit model, and generates the target branch impedance expression for each phase of each branch unit by combining the full-order inductance matrix. This allows the mutual inductance between windings to be introduced into the branch impedance characterization, thereby improving the ability of the branch impedance expression to reflect the influence of electromagnetic coupling.

[0074] In one possible embodiment, obtaining the target branch impedance expression for each phase of each branch unit based on the reference branch impedance expression and the full-order inductance matrix includes: performing the following operations for each phase of each branch unit to obtain the target branch impedance expression for each phase of each branch unit: obtaining the current reference branch impedance expression for the current branch unit; obtaining associated inductance parameters related to the current phase of the current branch unit from the full-order inductance matrix, the associated inductance parameters including self-inductance parameters and / or mutual inductance parameters; and generating the target branch impedance expression for the current phase of the current branch unit based on the current reference branch impedance expression and the associated inductance parameters.

[0075] The associated inductance parameter can include the self-inductance parameter corresponding to the current phase itself, or the mutual inductance parameter between the current phase and other winding branch units or other phases. For winding branch units, the target branch impedance expression can include resistance terms, self-inductance terms, and mutual inductance terms. For branch units other than winding branch units, the target branch impedance expression can include its own impedance term, as well as the equivalent term formed by the mutual inductance between winding branch units.

[0076] like Figure 5 As shown in the diagram, vA, vB, and vC represent the three-phase AC voltages input to the motor; R1 and R2 represent the armature resistances in the filter branch and the motor branch, respectively; L fafa L fbfb With L fcfc These can represent the self-inductance parameters of the filter branches for phases A, B, and C, respectively; L mama L mbmb With L mcmc These can represent the self-inductance parameters of the motor branches in phases A, B, and C, respectively. The mutual inductance parameters involved in the diagram are as follows: M... fafb M can represent the mutual inductance parameter between the A-phase filter branch and the B-phase filter branch. fama M can represent the mutual inductance parameter between the A-phase filter branch and the A-phase motor branch. famb With M famc These can represent the mutual inductance between the A-phase filter branch and the B-phase and C-phase motor branches, respectively; EMF A_F EMF B_F With EMF C_F It can represent the back electromotive force (EMF) of the filter branch; EMF A_M EMF B_M With EMF C_M It can represent the back electromotive force of the motor branch; R f With C fThese can represent the resistance and capacitance values ​​in the external RC branch, respectively; C para This can represent the parasitic capacitance between the system's neutral point and ground.

[0077] The aforementioned mutual inductance parameters can be used as associated inductance parameters related to the current phase of the current branch unit. By extracting these parameters from the full-order inductance matrix, the electromagnetic coupling relationship between the current phase and other relevant winding branch units can be determined.

[0078] Taking phase A as an example, the target branch impedance expression for the filter winding branch unit can be: The target branch impedance expression for the motor winding branch unit can be: The target branch impedance expression for the external RC branch unit can be: Among them, Z a1 This can be used to express the target branch impedance expression for the A-phase filter winding branch unit. Z a2 This can be used to express the target branch impedance expression for the winding branch unit of phase A motor. Z fa This can be used to express the target branch impedance of the external RC branch unit of phase A. R1 and R2 can represent the resistance values ​​in the corresponding winding branch unit. f and C f These can represent the resistance and capacitance values ​​in an external RC branch unit, respectively. 's' can represent a complex frequency domain variable. 'L' fafa This can represent the self-inductance parameters of the A-phase filter winding branch unit. mama This can represent the self-inductance parameters of the winding branch unit of phase A motor. M fafb M fafc M fama M famb and M famc This can represent the mutual inductance parameters associated with the A-phase filter winding branch unit. M mamb M mamc M fama M famb and M famc It can represent the mutual inductance parameters related to the winding branch unit of phase A motor.

[0079] As can be seen, by obtaining the associated inductance parameters from the full-order inductance matrix for each phase of each branch unit and introducing the current reference branch impedance expression, the target branch impedance expression can reflect the self-inductance and mutual inductance of the corresponding phase, thereby enhancing the ability of the branch impedance expression to characterize the electromagnetic coupling relationship.

[0080] In one possible embodiment, obtaining the transfer function between the common-mode voltage and the common-mode component of the multiphase input voltage based on the target branch impedance expression includes: obtaining the multiphase voltage input to the motor, the branch current of each branch unit, the back electromotive force of each winding branch unit, and the node voltages of the branch units other than the winding branch units; constructing a node voltage equation based on the multiphase voltage, the branch current, the back electromotive force, the node voltage, and the target branch impedance expression; obtaining the correlation algebraic expression corresponding to the common-mode voltage, wherein the correlation algebraic expression is generated based on the definition of the common-mode voltage; and obtaining the transfer function between the common-mode voltage and the common-mode component of the multiphase input voltage based on the node voltage equation and the correlation algebraic expression.

[0081] After obtaining the voltage, current, and back electromotive force, the node voltage equation can be constructed based on the target branch impedance expression. Taking phase A as an example, the node voltage v at the insertion point of the RC branch is... A_f The expression is as follows: This can include a formula indicating the voltage drop between the insertion point and the terminal neutral point, i.e., the common-mode voltage v at the neutral point. cmv The expression is as follows: It may also include a formula indicating the current splitting relationship between the resistor-capacitor branch nodes, i.e., v Af The expression is as follows: The correlation algebraic expression for the common-mode voltage can be generated based on the definition of common-mode voltage. For a three-phase input, the common-mode voltage can be expressed as follows: It can also be expressed as follows, combining the node voltage relationship of the external RC branch unit: Among them, Z b1 Z c1 The target branch impedance expressions for the B-phase and C-phase filter winding branch units can be expressed separately. b2 Z c2 The target branch impedance expressions for the B-phase and C-phase motor winding branch units can be expressed separately. fb Z fc The target branch impedance expressions for the external RC branch units of phase B and phase C can be expressed respectively.

[0082] Furthermore, the common-mode component of the multiphase input voltage can be used as the input quantity. For a three-phase input, the common-mode component of the multiphase input voltage can be expressed as: At this point, the common-mode voltage can be expressed as: From this, we can obtain the transfer function: Here, T(s) can represent the transfer function between the common-mode voltage and the common-mode component of the multiphase input voltage. s can represent a complex frequency domain variable. Z f Z1 can represent the equivalent impedance corresponding to the external RC branch unit. L can represent the equivalent impedance corresponding to the filter winding branch unit. f L1 and L2 can represent the equivalent inductance term in the corresponding branch impedance. R f and C f These can represent the resistance and capacitance values ​​in the external RC branch unit, respectively. R1 can represent the resistance value in the filter winding branch unit.

[0083] As can be seen, this scheme constructs the node voltage equation based on the expressions of multiphase voltage, branch current, back electromotive force, node voltage and target branch impedance, and obtains the transfer function by combining the definition of common-mode voltage. This allows the influence of each branch impedance on the common-mode voltage formation process to be incorporated into the analytical relationship, thereby improving the characterization ability of the relationship between common-mode voltage and the common-mode component of multiphase input voltage.

[0084] In one possible embodiment, evaluating the common-mode voltage characteristics of the plug-in integrated common-mode filter topology based on the transfer function includes: converting the transfer function to the frequency domain for solution, obtaining a response curve of the common-mode voltage amplitude as a function of frequency, taking into account mutual inductance coupling; obtaining the amplitude attenuation law, cutoff frequency characteristics, and resonant point characteristics based on the response curve; and / or, converting the transfer function to the frequency domain for solution, obtaining a contrast response curve without considering mutual inductance coupling, and obtaining frequency domain difference characteristics based on the contrast response curve.

[0085] The process of converting the transfer function to the frequency domain for solution can refer to replacing the complex variables in the previously derived algebraic formula of the complex frequency transfer coefficient with pure imaginary frequency components, thereby mapping the abstract algebraic model to the steady-state response space at different frequency points, and thus obtaining the response curve of the common-mode voltage amplitude as a function of frequency under the condition of mutual inductance coupling.

[0086] Combination Figure 6As can be seen from the content, the figure fully displays the Bode plot of the common-mode voltage at the neutral point. This Bode plot can intuitively present the filtering attenuation performance of the system under different frequency excitations, with the horizontal axis representing frequency and the vertical axis representing amplitude. The amplitude attenuation law, cutoff frequency characteristics, and resonant point characteristics can be obtained from the response curves. Further analysis can be performed based on the solid lines in the figure. As shown in the figure, the solid lines represent the actual response curves considering mutual inductance effects. In the legend, nf represents the number of winding segments in the filter branch, and nm represents the number of winding segments in the motor branch. For example, nf equals 4 and nm equals 0, or nf equals 3 and nm equals 1, etc., representing different branch structure configurations. Based on these solid line response curves, the position of the sharply rising peak in the curve can be intuitively identified to obtain the resonant point characteristics of the system. Furthermore, the cutoff frequency characteristics of the system under different winding configurations can be accurately obtained by referring to the intersection of the horizontal dashed line indicating -3dB and each actual response curve.

[0087] Obtaining the comparative response curve without considering mutual inductance coupling can refer to resolving the frequency domain based on a traditional simplified model assuming no cross-magnetic field interference between the internal windings of the motor, to generate an ideal baseline. The dashed line in the figure represents the comparative response curve without considering mutual inductance effects. The frequency domain difference characteristics can be obtained from the comparative response curve based on... Figure 6 This is achieved through a direct comparison between solid and dashed lines. Specifically, the dashed line, which does not account for mutual inductance coupling, typically exhibits an ideal linear and continuous attenuation trend after crossing the resonant point. However, when the actual electromagnetic interaction between the windings is taken into account, as shown by the solid line in the high-frequency band at 20kHz and higher, the attenuation of the common-mode voltage becomes significantly slower or even flat, resulting in severe parasitic conduction.

[0088] As can be seen, by converting the transfer function to the frequency domain and obtaining the response curves under conditions of mutual inductance coupling and the comparative response curves under conditions of no mutual inductance coupling, this scheme can analyze the amplitude attenuation law, cutoff frequency characteristics, resonant point characteristics and frequency domain difference characteristics of the common-mode voltage, thereby improving the evaluation capability of the frequency domain characteristics of the common-mode voltage of the insertion integrated common-mode filter topology.

[0089] In one possible embodiment, the method further includes: obtaining multiple common-mode voltage characteristics of the integrated common-mode filter topology under different winding structure configuration conditions or different branch parameter conditions; comparing and evaluating the multiple common-mode voltage characteristics to obtain evaluation results, the evaluation results being used to guide the design or optimization of the integrated common-mode filter topology.

[0090] The different winding structure configuration conditions can include the division method, positional relationship, or phase-to-phase arrangement relationship of the filter winding branch units and the motor winding branch units. Different branch parameter conditions can include branch impedance parameters, resistance values, and capacitance values ​​of external RC branch units. For example, changing the specific segment allocation combination of the filter branch winding used for common-mode filtering and the motor branch winding used for electromagnetic energy conversion, or changing the resistance and capacitance values ​​in the external RC branch units, can serve as different internal structural configurations and electrical parameter conditions. These conditions are then substituted into the previously derived transfer function between the common-mode voltage and the input voltage for frequency domain solution, thereby obtaining the system's common-mode voltage response characteristics as a function of frequency under various preset physical configuration architectures.

[0091] Comparative evaluation of multiple common-mode voltage characteristics may include: comparing the response results of common-mode voltage as a function of frequency under different conditions, and comparing the amplitude variation, cutoff frequency characteristics, and resonant point characteristics. The evaluation results can be used to determine the impact of different winding structure configurations or different branch parameter conditions on the common-mode voltage characteristics. This may include adjusting the structural configuration or branch parameter conditions of the winding branch units to ensure that the common-mode voltage characteristics of the integrated common-mode filter topology meet design requirements.

[0092] In practical implementation, the evaluation results can be directly used as the core theoretical basis and technical support for the development and parameter optimization of common-mode filter structures for aerospace motor system integration. Because this evaluation method overcomes the limitations of existing technologies that rely solely on overall equivalent parameters and lack in-depth analysis of the interactions between different parts within the winding, researchers can use the evaluation results to clearly understand the actual physical transmission impact of specific winding configurations or structural adjustments on common-mode voltage. This allows for targeted modification of coil functional division nodes, optimization of inter-phase electrical connections, or adjustment of component selection in the RC filter network during the development of high-power-density and high-integration motors. This effectively suppresses common-mode voltage at the source of system design, avoiding common technical challenges such as bearing erosion, accelerated insulation aging, and electromagnetic interference caused by high-amplitude common-mode interference, ultimately significantly improving the overall reliability and safety of the motor system under dynamic speed regulation and full-condition operation.

[0093] Please see Figure 7 ,based on Figure 7 A brief explanation of the overall process of this plan is provided.

[0094] like Figure 7 As shown, the overall process of this scheme can include winding structure division, equivalent circuit modeling, mutual inductance coupling structure analysis and modeling, establishment of branch parameter analytical expression, electromagnetic parameter extraction, derivation of common-mode voltage transfer function, frequency domain characteristic analysis, and parameter evaluation and structural design guidance.

[0095] First, the motor windings in the integrated common-mode filter topology can be functionally partitioned to obtain filter winding branch units and motor winding branch units. This allows some windings to handle common-mode filtering while others are used for electromagnetic energy conversion. Then, based on the partitioned winding structure, an equivalent circuit model can be constructed, including filter winding branch units, motor winding branch units, and external RC branch units. Each winding branch unit can be represented by equivalent impedance and back electromotive force, and the external RC branch units can be used to characterize the common-mode filtering path. Next, based on the equivalent circuit model, the mutual inductance coupling relationship between the filter winding branch units and the motor winding branch units is analyzed, and a full-order inductance matrix model is established to describe the electromagnetic interaction between the winding branch units. Finally, based on the mutual inductance coupling relationship, mutual inductance decoupling relationship, and the full-order inductance matrix, the corresponding target branch impedance expression for each branch unit is obtained, ensuring that the branch impedance expression reflects the self-inductance and mutual inductance parameters of the corresponding phase. Then, using the finite element method, the self-inductance parameters of each winding branch unit and the mutual inductance parameters between different winding branch units are extracted to form an inductance parameter set. Next, based on the target branch impedance expression, the multiphase voltage input to the motor, the current in each branch, the back electromotive force, and the node voltage, the node voltage equation is constructed. Combining the definition of common-mode voltage, the transfer function between the common-mode voltage and the common-mode component of the multiphase input voltage is derived. Then, the transfer function is transformed to the frequency domain for solution, obtaining the response curve of the common-mode voltage amplitude as a function of frequency, and analyzing the amplitude attenuation law, cutoff frequency characteristics, and resonant point characteristics. Finally, based on the frequency domain characteristic analysis results, the common-mode voltage characteristics under different winding structure configurations or different branch parameter conditions are compared and evaluated, and the evaluation results provide a basis for parameter selection and structural design of the plug-in integrated common-mode filter topology.

[0096] The common-mode voltage evaluation device based on the plug-in integrated common-mode filter topology provided in this application is described below. The common-mode voltage evaluation device based on the plug-in integrated common-mode filter topology described below can be referred to in correspondence with the common-mode voltage evaluation method based on the plug-in integrated common-mode filter topology described above.

[0097] Please see Figure 8 , Figure 8This is a functional block diagram of the common-mode voltage evaluation device based on an insert-type integrated common-mode filter topology provided in this application. The common-mode voltage evaluation device 800 includes: a first acquisition unit 801, used to acquire an equivalent circuit model of the integrated common-mode filter topology, wherein the equivalent circuit model includes multiple branch units, each branch unit corresponding to a different function, and the branch unit includes a winding branch unit; a second acquisition unit 802, used to acquire an inductor parameter set; and a construction unit 803, used to construct a complete circuit model based on the equivalent circuit model and the inductor parameter set. A full-order inductance matrix is ​​used to reflect the mutual inductance coupling characteristics between each winding branch unit due to the interaction of current and magnetic flux; a third acquisition unit 804 is used to acquire the target branch impedance expression for each phase of each branch unit according to the equivalent circuit model and the full-order inductance matrix; a fourth acquisition unit 805 is used to acquire the transfer function between the common-mode voltage and the common-mode component of the multiphase input voltage according to the target branch impedance expression; and an evaluation unit 806 is used to evaluate the common-mode voltage characteristics of the plug-in integrated common-mode filter topology according to the transfer function.

[0098] In one possible embodiment, in obtaining the equivalent circuit model of the integrated common-mode filter topology, the first acquisition unit 801 is specifically configured to: functionally divide the motor windings of the integrated common-mode filter topology to obtain the winding branch units, wherein the winding branch units include filter winding branch units and motor winding branch units; acquire a first electrical connection relationship between the filter winding branch units and the motor winding branch units; acquire a second electrical connection relationship between external resistor-capacitor branch units and the filter winding branch units and the motor winding branch units, wherein the external resistor-capacitor branch units are used to characterize the common-mode filter path; and generate an equivalent circuit model of the integrated common-mode filter topology based on the first electrical connection relationship and the second electrical connection relationship.

[0099] In one possible embodiment, in constructing the full-order inductance matrix based on the equivalent circuit model and the inductance parameter set, the construction unit 803 is specifically used to: construct a full-order inductance matrix model based on the mutual inductance coupling relationship in the equivalent circuit model, wherein the full-order inductance matrix model uses three-phase filter winding branch units and three-phase motor winding branch units as matrix element objects, and the matrix elements include the self-inductance terms of each phase of each winding branch unit, and the mutual inductance terms between two matrix element objects other than the same phase of the same winding branch unit; obtain the self-inductance parameters and the mutual inductance parameters from the inductance parameter set; and substitute the self-inductance parameters and the mutual inductance parameters into the full-order inductance matrix model to obtain the full-order inductance matrix.

[0100] In one possible embodiment, before substituting the self-inductance parameter and the mutual inductance parameter into the full-order inductance matrix model to obtain the full-order inductance matrix, the construction unit 803 is specifically used to: obtain the self-inductance parameter expression for each phase of each winding branch unit under rotor position change conditions; obtain the mutual inductance parameter expression for any two phases of any two winding branch units under rotor position change conditions; regarding substituting the self-inductance parameter and the mutual inductance parameter into the full-order inductance matrix model to obtain the full-order inductance matrix, the construction unit 803 is specifically used to: obtain the self-inductance value of each phase of each winding branch unit and the mutual inductance value between any two phases of any two winding branch units based on the self-inductance parameter expression, the self-inductance parameter, the mutual inductance parameter expression, and the mutual inductance parameter; substitute the self-inductance value of each winding branch unit and the mutual inductance value between any two phases of any two winding branch units into the full-order inductance matrix model to obtain the full-order inductance matrix.

[0101] In one possible embodiment, in obtaining the self-inductance value of each phase of each winding branch unit and the mutual inductance value between any two phases of any two winding branch units based on the self-inductance parameter expression, the self-inductance parameter, the mutual inductance parameter expression, and the mutual inductance parameter, the construction unit 803 is specifically configured to: obtain the self-inductance DC component and at least one self-inductance harmonic component in the self-inductance parameter; obtain the mutual inductance DC component and at least one mutual inductance harmonic component in the mutual inductance parameter; obtain the motor rotor position angle; obtain the angle parameter between any two phases of any two winding branch units; substitute the self-inductance DC component, at least one self-inductance harmonic component, and the motor rotor position angle into the self-inductance parameter expression to obtain the self-inductance value of each phase of each winding branch unit; substitute the mutual inductance DC component, at least one mutual inductance harmonic component, the motor rotor position angle, and the angle parameter into the mutual inductance parameter expression to obtain the mutual inductance value between any two phases of any two winding branch units.

[0102] In one possible embodiment, in terms of acquiring the inductance parameter set, the second acquisition unit 802 is specifically used to: perform electromagnetic simulation calculations on each of the winding branch units under different branch structure configurations, and the electromagnetic coupling relationship between the winding branch units, to obtain simulation results; and acquire the inductance parameter set under each branch structure configuration based on the simulation results, wherein the inductance parameter set includes the self-inductance parameter of each phase of each winding branch unit, and the mutual inductance parameter between any two phases of any two winding branch units.

[0103] In one possible embodiment, in obtaining the target branch impedance expression for each phase of each of the branch units based on the equivalent circuit model and the full-order inductance matrix, the third obtaining unit 804 is specifically configured to: obtain the mutual inductance coupling relationship and mutual inductance decoupling relationship between each of the winding branch units based on the equivalent circuit model; obtain the reference branch impedance expression for each of the branch units based on the mutual inductance coupling relationship and the mutual inductance decoupling relationship; and obtain the target branch impedance expression for each phase of each of the branch units based on the reference branch impedance expression and the full-order inductance matrix.

[0104] In one possible embodiment, in obtaining the target branch impedance expression for each phase of each branch unit based on the reference branch impedance expression and the full-order inductance matrix, the third acquisition unit 804 is specifically configured to: perform the following operations for each phase of each branch unit to obtain the target branch impedance expression for each phase of each branch unit: obtain the current reference branch impedance expression for the current branch unit; obtain the associated inductance parameter associated with the current phase of the current branch unit from the full-order inductance matrix, the associated inductance parameter including self-inductance parameter and / or mutual inductance parameter; and generate the target branch impedance expression for the current phase of the current branch unit based on the current reference branch impedance expression and the associated inductance parameter.

[0105] In one possible embodiment, regarding the acquisition of the transfer function between the common-mode voltage and the common-mode component of the multiphase input voltage based on the target branch impedance expression, the fourth acquisition unit 805 is specifically configured to: acquire the multiphase voltage input to the motor, the branch current of each branch unit, the back electromotive force of each winding branch unit, and the node voltages of the branch units other than the winding branch units among the plurality of branch units; construct a node voltage equation based on the multiphase voltage, the branch current, the back electromotive force, the node voltage, and the target branch impedance expression; acquire the correlation algebraic expression corresponding to the common-mode voltage, the correlation algebraic expression being generated based on the definition of the common-mode voltage; and acquire the transfer function between the common-mode voltage and the common-mode component of the multiphase input voltage based on the node voltage equation and the correlation algebraic expression.

[0106] In one possible embodiment, in evaluating the common-mode voltage characteristics of the plug-in integrated common-mode filter topology based on the transfer function, the evaluation unit 806 is specifically configured to: convert the transfer function to the frequency domain for solution, and obtain a response curve of the common-mode voltage amplitude as a function of frequency, taking into account mutual inductance coupling; obtain the amplitude attenuation law, cutoff frequency characteristics, and resonant point characteristics based on the response curve; and / or, convert the transfer function to the frequency domain for solution, and obtain a contrast response curve without taking into account mutual inductance coupling, and obtain frequency domain difference characteristics based on the contrast response curve.

[0107] In one possible embodiment, the common-mode voltage evaluation device 800 based on the plug-in integrated common-mode filter topology further includes an optimization design unit, which is used to: obtain multiple common-mode voltage characteristics of the integrated common-mode filter topology under different winding structure configuration conditions or different branch parameter conditions; compare and evaluate the multiple common-mode voltage characteristics to obtain evaluation results, which are used to guide the design or optimization of the integrated common-mode filter topology.

[0108] Please see Figure 9 , Figure 9 This is a schematic diagram of the structure of the electronic device provided in this application. For example... Figure 9 As shown, the electronic device may include: a processor 910, a communication interface 920, a memory 930, and a communication bus 940, wherein the processor 910, the communication interface 920, and the memory 930 communicate with each other through the communication bus 940. Processor 910 can call logic instructions in memory 930 to execute a common-mode voltage evaluation method based on an insert-integrated common-mode filter topology. The method includes: obtaining an equivalent circuit model of the integrated common-mode filter topology, the equivalent circuit model including multiple branch units, each branch unit corresponding to a different function, and the branch unit including winding branch units; obtaining an inductance parameter set; constructing a full-order inductance matrix based on the equivalent circuit model and the inductance parameter set, the full-order inductance matrix reflecting the mutual inductance coupling characteristics between the winding branch units due to the interaction of current and magnetic flux; obtaining a target branch impedance expression for each phase of each branch unit based on the equivalent circuit model and the full-order inductance matrix; obtaining a transfer function between the common-mode voltage and the common-mode components of the multi-phase input voltage based on the target branch impedance expression; and evaluating the common-mode voltage characteristics of the insert-integrated common-mode filter topology based on the transfer function.

[0109] Furthermore, the logical instructions in the aforementioned memory 930 can be implemented as software functional units and, when sold or used as independent products, can be stored in a computer-readable storage medium. Based on this understanding, the technical solution of this application, in essence, or the part that contributes to the prior art, or a part of the technical solution, can be embodied in the form of a software product. This computer software product is stored in a storage medium and includes several instructions to cause a computer device (which may be a personal computer, server, or network device, etc.) to execute all or part of the steps of the methods described in the various embodiments of this application. The aforementioned storage medium includes various media capable of storing program code, such as USB flash drives, portable hard drives, read-only memory (ROM), random access memory (RAM), magnetic disks, or optical disks.

[0110] On the other hand, this application also provides a non-transitory computer-readable storage medium storing a computer program thereon, which, when executed by a processor, implements a common-mode voltage evaluation method based on an insert-integrated common-mode filter topology provided by the methods described above. The method includes: obtaining an equivalent circuit model of the integrated common-mode filter topology, the equivalent circuit model including multiple branch units, each branch unit corresponding to a different function, and the branch unit including winding branch units; obtaining an inductance parameter set; constructing a full-order inductance matrix based on the equivalent circuit model and the inductance parameter set, the full-order inductance matrix reflecting the mutual inductance coupling characteristics between each winding branch unit due to the interaction of current and magnetic flux; obtaining a target branch impedance expression for each phase of each branch unit based on the equivalent circuit model and the full-order inductance matrix; obtaining a transfer function between the common-mode voltage and the common-mode components of the multiphase input voltage based on the target branch impedance expression; and evaluating the common-mode voltage characteristics of the insert-integrated common-mode filter topology based on the transfer function.

[0111] In another aspect, this application also provides a computer program product, including a computer program that, when executed by a processor, implements any of the above-described common-mode voltage evaluation methods based on an insert-type integrated common-mode filter topology. The method includes: obtaining an equivalent circuit model of the integrated common-mode filter topology, the equivalent circuit model including multiple branch units, each branch unit corresponding to a different function, and the branch unit including winding branch units; obtaining an inductance parameter set; constructing a full-order inductance matrix based on the equivalent circuit model and the inductance parameter set, the full-order inductance matrix reflecting the mutual inductance coupling characteristics between each winding branch unit due to the interaction of current and magnetic flux; obtaining a target branch impedance expression for each phase of each branch unit based on the equivalent circuit model and the full-order inductance matrix; obtaining a transfer function between the common-mode voltage and the common-mode components of the multiphase input voltage based on the target branch impedance expression; and evaluating the common-mode voltage characteristics of the insert-type integrated common-mode filter topology based on the transfer function.

[0112] The device embodiments described above are merely illustrative. The units described as separate components may or may not be physically separate. The components shown as units may or may not be physical units; that is, they may be located in one place or distributed across multiple network units. Some or all of the modules can be selected to achieve the purpose of this embodiment according to actual needs. Those skilled in the art can understand and implement this without any creative effort.

[0113] Through the above description of the embodiments, those skilled in the art can clearly understand that each embodiment can be implemented by means of software plus necessary general-purpose hardware platforms, and of course, it can also be implemented by hardware. Based on this understanding, the above technical solutions, in essence or the part that contributes to the prior art, can be embodied in the form of a software product. This computer software product can be stored in a computer-readable storage medium, such as ROM / RAM, magnetic disk, optical disk, etc., and includes several instructions to cause a computer device (which may be a personal computer, server, or network device, etc.) to execute the methods described in the various embodiments or some parts of the embodiments.

[0114] Finally, it should be noted that the above embodiments are only used to illustrate the technical solutions of this application, and are not intended to limit them. Although this application has been described in detail with reference to the foregoing embodiments, those skilled in the art should understand that modifications can still be made to the technical solutions described in the foregoing embodiments, or equivalent substitutions can be made to some of the technical features. Such modifications or substitutions do not cause the essence of the corresponding technical solutions to deviate from the spirit and scope of the technical solutions of the embodiments of this application.

Claims

1. A common-mode voltage evaluation method based on an insertable integrated common-mode filter topology, characterized in that, include: Obtain the equivalent circuit model of the integrated common-mode filter topology. The equivalent circuit model includes multiple branch units, each of which corresponds to a different function. The branch unit includes a winding branch unit. Obtain the inductor parameter set; A full-order inductance matrix is ​​constructed based on the equivalent circuit model and the inductance parameter set. The full-order inductance matrix is ​​used to reflect the mutual inductance coupling characteristics between each winding branch unit due to the interaction of current and magnetic flux. Based on the equivalent circuit model and the full-order inductance matrix, obtain the target branch impedance expression for each phase of each branch unit; The transfer function between the common-mode voltage and the common-mode component of the multiphase input voltage is obtained based on the target branch impedance expression. The common-mode voltage characteristics of the plug-in integrated common-mode filter topology are evaluated based on the transfer function.

2. The method of claim 1, wherein, The process of obtaining the equivalent circuit model of the integrated common-mode filter topology includes: The motor windings of the integrated common-mode filter topology are functionally divided to obtain the winding branch units, which include filter winding branch units and motor winding branch units. Obtain the first electrical connection relationship between the filter winding branch unit and the motor winding branch unit; Obtain the second electrical connection relationship between the external resistor-capacitor branch unit and the filter winding branch unit and the motor winding branch unit, wherein the external resistor-capacitor branch unit is used to characterize the common-mode filtering path; The equivalent circuit model of the integrated common-mode filter topology is generated based on the first electrical connection relationship and the second electrical connection relationship.

3. The method according to claim 1, characterized in that, The step of constructing a full-order inductance matrix based on the equivalent circuit model and the inductance parameter set includes: Based on the mutual inductance coupling relationship in the equivalent circuit model, a full-order inductance matrix model is constructed. The full-order inductance matrix model takes the three-phase filter winding branch unit and the three-phase motor winding branch unit as matrix element objects. The matrix elements include the self-inductance terms of each phase of each winding branch unit, and the mutual inductance terms between two matrix element objects other than the same phase of the same winding branch unit. Obtain the self-inductance parameter and the mutual inductance parameter from the set of inductance parameters; Substituting the self-inductance parameters and the mutual inductance parameters into the full-order inductance matrix model yields the full-order inductance matrix.

4. The method according to claim 3, characterized in that, Before substituting the self-inductance parameters and the mutual inductance parameters into the full-order inductance matrix model to obtain the full-order inductance matrix, the method further includes: Obtain the self-inductance parameter expression for each phase of each winding branch unit under rotor position variation conditions; Obtain the mutual inductance parameter expressions for any two phases of any two winding branch units under rotor position variation conditions; The step of substituting the self-inductance parameters and the mutual inductance parameters into the full-order inductance matrix model to obtain the full-order inductance matrix includes: Based on the self-inductance parameter expression, the self-inductance parameter, the mutual inductance parameter expression, and the mutual inductance parameter, obtain the self-inductance value of each phase of each winding branch unit, and the mutual inductance value between any two phases of any two winding branch units. Substituting the self-inductance value of each winding branch unit and the mutual inductance values ​​of any two phases of any two winding branch units into the full-order inductance matrix model yields the full-order inductance matrix.

5. The method according to claim 4, characterized in that, The step of obtaining the self-inductance value of each phase of each winding branch unit and the mutual inductance value between any two phases of any two winding branch units based on the self-inductance parameter expression, the self-inductance parameter, the mutual inductance parameter expression, and the mutual inductance parameter includes: Obtain the DC component of the self-inductance and at least one harmonic component of the self-inductance parameters; Obtain the mutual inductance DC component and at least one mutual inductance harmonic component from the mutual inductance parameters; Obtain the motor rotor position angle; Obtain the angle parameter between any two phases of any two winding branch units; Substituting the self-inductance DC component, at least one of the self-inductance harmonic components, and the motor rotor position angle into the self-inductance parameter expression, the self-inductance value of each phase of each winding branch unit is obtained. Substituting the mutual inductance DC component, at least one of the mutual inductance harmonic components, the motor rotor position angle, and the angle parameter into the mutual inductance parameter expression, the mutual inductance value between any two phases of any two winding branch units is obtained.

6. The method according to any one of claims 1-5, characterized in that, The set of inductance parameters to be acquired includes: Electromagnetic simulation was used to simulate and calculate the electromagnetic coupling relationship between each winding branch unit under different branch structure configurations, and the simulation results were obtained. Based on the simulation results, the inductance parameter set under each branch structure configuration condition is obtained. The inductance parameter set includes the self-inductance parameter of each phase of each winding branch unit and the mutual inductance parameter between any two phases of any two winding branch units.

7. The method according to claim 1, characterized in that, The step of obtaining the target branch impedance expression for each phase of each branch unit based on the equivalent circuit model and the full-order inductance matrix includes: The mutual inductance coupling relationship and mutual inductance decoupling relationship between each winding branch unit are obtained based on the equivalent circuit model. The reference branch impedance expression for each branch unit is obtained based on the mutual inductance coupling relationship and the mutual inductance decoupling relationship; The target branch impedance expression for each phase of each branch unit is obtained based on the reference branch impedance expression and the full-order inductance matrix.

8. The method according to claim 7, characterized in that, The step of obtaining the target branch impedance expression for each phase of each branch unit based on the reference branch impedance expression and the full-order inductance matrix includes: Perform the following operations for each phase of each branch unit to obtain the target branch impedance expression for each phase of each branch unit: Obtain the current reference branch impedance expression for the current branch unit; Obtain the associated inductance parameters related to the current phase of the current branch unit from the full-order inductance matrix. The associated inductance parameters include self-inductance parameters and / or mutual inductance parameters. Based on the current reference branch impedance expression and the associated inductance parameters, a target branch impedance expression for the current phase of the current branch unit is generated.

9. The method according to claim 1, characterized in that, The step of obtaining the transfer function between the common-mode voltage and the common-mode component of the multiphase input voltage based on the target branch impedance expression includes: The multiphase voltage input to the motor, the branch current of each branch unit, the back electromotive force of each winding branch unit, and the node voltage of the branch units other than the winding branch units are obtained. The node voltage equation is constructed based on the expressions for the multiphase voltage, the branch current, the back electromotive force, the node voltage, and the target branch impedance. Obtain the correlation algebraic expression corresponding to the common-mode voltage, which is generated based on the definition of the common-mode voltage; Based on the node voltage equation and the associated algebraic expression, the transfer function between the common-mode voltage and the common-mode component of the multiphase input voltage is obtained.

10. The method according to claim 1, characterized in that, The evaluation of the common-mode voltage characteristics of the insertion-integrated common-mode filter topology based on the transfer function includes: The transfer function is transformed into the frequency domain and solved to obtain the response curve of the common-mode voltage amplitude as a function of frequency, taking into account mutual inductance coupling. The amplitude attenuation law, cutoff frequency characteristics, and resonant point characteristics are obtained from the response curve. And / or, the transfer function is transformed to the frequency domain for solution, and the contrast response curve is obtained without considering mutual inductance coupling. The frequency domain difference characteristics are obtained based on the contrast response curve.

11. The method according to claim 1, characterized in that, The method further includes: Obtain multiple common-mode voltage characteristics of the integrated common-mode filter topology under different winding structure configuration conditions or different branch parameter conditions; The common-mode voltage characteristics of the multiple components are compared and evaluated to obtain evaluation results, which are used to guide the design or optimization of the integrated common-mode filter topology.

12. A common-mode voltage evaluation device based on an insertion-type integrated common-mode filter topology, characterized in that, include: The first acquisition unit is used to acquire the equivalent circuit model of the integrated common-mode filter topology. The equivalent circuit model includes multiple branch units, each of which corresponds to a different function. The branch unit includes a winding branch unit. The second acquisition unit is used to acquire the inductor parameter set; The construction unit is used to construct a full-order inductance matrix based on the equivalent circuit model and the inductance parameter set. The full-order inductance matrix is ​​used to reflect the mutual inductance coupling characteristics between each winding branch unit due to the interaction of current and magnetic flux. The third acquisition unit is used to acquire the target branch impedance expression for each phase of each branch unit based on the equivalent circuit model and the full-order inductance matrix. The fourth acquisition unit is used to acquire the transfer function between the common-mode voltage and the common-mode component of the multiphase input voltage according to the target branch impedance expression; An evaluation unit is used to evaluate the common-mode voltage characteristics of the plug-in integrated common-mode filter topology based on the transfer function.