JP7159068B2 - Inductance analysis method, inductance analysis program, and inductance analysis system - Google Patents

Description

The present invention relates to an inductance analysis method, an inductance analysis program, and an inductance analysis system.

In electrical equipment using magnetic materials such as motors and transformers, the self-inductance and mutual inductance of coils are important physical quantities. Since magnetic materials generally have nonlinear magnetic properties, the magnetic permeability of magnetic materials depends on the coil current.

FIG. 1 is a flowchart illustrating a prior art inductance analysis process. As shown in Fig. 1, in the conventional inductance analysis, nonlinear transient magnetic field analysis is performed by numerical analysis methods such as the finite element method that considers nonlinear characteristics, and all mesh division elements of magnetic regions having nonlinear magnetic characteristics are analyzed. is calculated (step S12). Permeability transient data is also referred to as permeability distribution data. The calculated magnetic permeability distribution data is temporarily stored in the external storage device (step S13).

Then, in the conventional inductance analysis, after the nonlinear transient magnetic field analysis is finished (step S14 NO), the magnetic permeability distribution data read from the external storage device is used to perform the linear magnetic field analysis, and the inductance matrix components are output (step S21-S25). Specifically, the interlinking magnetic flux of each coil is obtained by linear magnetic field analysis when a current of 1 A is applied to one coil and no current is applied to other coils. The inductance matrix of the coil is calculated by sequentially changing the target coils through which the current is to flow and performing a series of linear magnetic field analyses.

Also, in the motor, the d-axis and q-axis inductances are important, so the dq-axis inductance matrix is calculated.

As described above, when calculating the inductance matrix, nonlinear transient magnetic field analysis is performed in order to obtain the magnetic permeability distribution of the magnetic material region necessary for the calculation. This method is disclosed in Non-Patent Document 1, for example.

K. Yamazaki et al., “Torque Analysis of Interior Permanent-Magnet Synchronous Motors by Considering Cross-Magnetization: Variation in Torque Components With Permanent-Magnet Configurations,” IEEETRANSACTIONS ON INDUSTRIAL ELECTRONICS, VOL. 61, NO. 7, JULY 2014, pp. 3192 - 3201

However, in the conventional technology described above, since the magnetic permeability distribution data is temporarily stored in the external storage device (step S13 in FIG. 1), there is an overhead of data storage and reading (step S22 in FIG. 1). In order to avoid this overhead, it is conceivable to take a means of storing the magnetic permeability distribution data in the main memory, but this causes a problem of increased memory consumption. This problem does not occur when the data size is small, such as in two-dimensional analysis, but it becomes noticeable particularly in three-dimensional analysis, in which the data size is large.

In addition, in the above-described prior art, after the normal nonlinear transient magnetic field analysis is completed, the user needs to reset the analysis conditions separately for the linear magnetic field analysis of the inductance (step S21 in FIG. 1), which is inconvenient. be. Thus, the prior art has a problem that inductance analysis cannot be performed efficiently.

SUMMARY OF THE INVENTION The present invention has been made in consideration of the above points, and an object of the present invention is, for example, to enable inductance analysis to be performed efficiently.

In order to solve such problems, the present invention provides an inductance analysis method executed by an inductance analysis system, which is an inductance analysis method in which each element included in a nonlinear magnetic material region of an electrical device configured to include a nonlinear magnetic material and a coil is analyzed. The magnetic permeability distribution at a time step is calculated by nonlinear transient magnetic field analysis, and the magnetic permeability distribution at the certain time step is used to linearly It is characterized by including each process of performing a magnetic field analysis and calculating an inductance matrix component related to the coil at the certain time step based on the analysis result of the linear magnetic field analysis.

According to the present invention, for example, inductance analysis can be efficiently performed.

4 is a flowchart illustrating conventional inductance analysis processing; 4 is a flowchart illustrating an inductance analysis process of Example 1; FIG. 4 is a diagram exemplifying a finite element model in which a motor is divided into meshes; 9 is a flowchart illustrating an inductance analysis process of Example 2; FIG. 10 is a diagram illustrating analysis of three-phase inductance matrix components in inductance analysis of Example 2; FIG. 11 is a diagram illustrating analysis of dq-axis inductance matrix components in inductance analysis of Example 3; 10 is a flowchart illustrating inductance analysis processing of Example 3; 10 is a flowchart illustrating inductance analysis processing of Example 4; FIG. 2 is a diagram exemplifying the hardware configuration of a computer for realizing an inductance analysis system; FIG. 2 is a block diagram illustrating the functional configuration of the inductance analysis system of Example 1; FIG. 4 is a diagram showing a specific example of a computer for realizing the inductance analysis system of the first embodiment;

An embodiment of the present invention will be described in detail below with reference to the drawings. The following examples are applicable to electrical equipment using magnetic materials, such as motors, transformers, and generators. In this specification, the same reference numbers indicate the same or similar configurations or processes in each drawing, and the description thereof will be omitted. Also. Each embodiment and each modification can be combined in whole or in part within the scope and consistency of the technical idea of the present invention.

<Inductance Analysis Processing of Example 1>
FIG. 2 is a flowchart illustrating inductance analysis processing according to the first embodiment. In this embodiment, an electrical device including a nonlinear magnetic body and a coil is subjected to a nonlinear transient analysis in a step-by-step manner at each time step by numerical analysis methods such as the finite element method, the boundary element method, and the magnetic moment method. An inductance matrix component for each time step is calculated from magnetic permeability distribution data obtained by magnetic field analysis. The inductance analysis process of this embodiment is executed by an analysis unit 113 realized by executing a program in an arithmetic processing unit such as a CPU (Central Processing Unit) of the inductance analysis system 100 shown in FIG. executed.

First, in step S31, the analysis unit 113 inputs mesh data and analysis conditions necessary for nonlinear transient magnetic field analysis. Next, in step S32, the analysis unit 113 executes nonlinear transient magnetic field analysis to be analyzed. In step S32, the analysis unit 113 calculates the magnetic permeability distribution in the nonlinear magnetic material region, and stores the magnetic permeability in each mesh element such as the finite element method in the main storage device.

Next, in step S33, the analysis unit 113 performs linear magnetic field analysis using the magnetic permeability distribution data calculated in step S32. Next, in step S34, the analysis unit 113 calculates and outputs an inductance matrix component related to the coil from the coil interlinkage magnetic flux value based on the result of the linear magnetic field analysis in step S33. The output of the inductance matrix components in step S34 may display newly calculated inductance matrix components on the display device 102 (see FIG. 9) described later each time the inductance matrix components are calculated for each time step. For example, the display of the inductance matrix components may update the waveform display of the inductance matrix components while adding new calculation results.

Next, in step S35, the analysis unit 113 determines whether to update to the next time step and execute steps S32 to S34. The analysis unit 113 returns the process to step S32 if steps S32 to S34 are to be executed (Yes at step S35), and terminates the inductance analysis process if not (No at step S35). As described above, the analysis unit 113 executes steps S32 to S34 for predetermined time steps.

The above analysis process will be specifically described. FIG. 3 is a diagram exemplifying a finite element model in which a motor is divided into meshes. A plane in which a general motor is divided into meshes only in a 1/2 area (180-degree area) due to the periodicity of the structure in the rotation direction. It is a diagram. The motor shown in FIG. 3 is a three-phase AC motor having U-phase, V-phase, and W-phase coils.

In the mesh-divided motor analysis model of FIG. 3(a), +U is a U-phase coil whose positive direction is the front side of the paper, and -U is a U-phase coil whose positive direction is the back side of the paper, and the U-phase coils are connected in series. It is The same applies to the V phase and W phase. FIG. 3(b) shows a nonlinear magnetic material region with temporally varying magnetic permeability extracted from the nonlinear magnetic material region of the meshed motor analysis model of FIG. 3(a). After obtaining the magnetic permeability of each mesh-divided element of the nonlinear magnetic region, the obtained magnetic permeability is temporarily fixed, and the magnetization set in the permanent magnet is temporarily set to zero.

Coil interlinkage magnetic fluxes Φ _U , Φ _V , and Φ _W due to the U-phase, V-phase, and W-phase coil currents are obtained by using an inductance matrix, which is a 3-row, 3-column symmetric matrix, to obtain the coil currents I _U , _IV , and _IW and the relationship shown in the following formula (1). In the following formula (1), L _u , L _v , and L _w are the self-inductances of the U-phase coil, V-phase coil, and W-phase coil, respectively. _Muv is the mutual inductance between the U-phase coil and the V-phase coil, _Mvw is the mutual inductance between the V-phase coil and the W-phase coil, and _Mwu is the mutual inductance between the W-phase coil and the U-phase coil. is.

As is clear from the above formula (1), for example, coil interlinkage magnetic fluxes Φ _U , Φv, and Φ _W obtained by linear magnetic field analysis with I _U =1 A, _IV =0 A, and I _w =0 A are set to U Phase inductance L _U , mutual inductance M _UV , and mutual inductance M _WU . Other matrix components can be obtained in the same manner.

Also, the coil interlinkage magnetic flux Φ _d and Φ _q due to the coil currents I _d and I _q in the dq-axis space are the dq-axis inductance matrix, which is a 2-row, 2-column symmetric matrix often used in motor analysis and motor control. , the relationship shown in the following formula (2) is established. In the following equation (2), L _d and L _q are the d-axis self-inductance and the q-axis self-inductance, respectively, and M _dq is the mutual inductance between the d-axis and the q-axis. For the dq-axis inductance matrix components, for example, L _d and M _dq can be obtained by linear magnetic field analysis with I _d =1 A and I _q =0 A, and the linear magnetic field with I _d =0 A and I _q =1 A M _dq and L _q can be obtained by analysis.

<Effect of Example 1>
According to this embodiment, it is not necessary to store all the time-series data of the magnetic permeability distribution regarding the magnetic permeability distribution in the magnetic material region having the non-linear magnetic characteristic. And the reading process (corresponding to step S13 in FIG. 1) becomes unnecessary. Therefore, the time required for the writing and reading processes can be saved, and the processing for inductance analysis can be speeded up and the execution time can be shortened. In addition, it is possible to reduce the amount of storage capacity used in an external storage device or the like. Furthermore, since there is no need to re-input control data (corresponding to step S21 in FIG. 1) to analyze the inductance matrix components that have been set by the user in the past, there is an effect of high efficiency and convenience.

Moreover, according to the present embodiment, the inductance matrix can be calculated after the transient analysis of one time step is completed without waiting for the end of the long-time nonlinear transient analysis. In particular, in the case of large-scale analysis such as three-dimensional analysis, conventional techniques cannot obtain inductance analysis results until long-term nonlinear transient analysis is completed. However, according to the present embodiment, the intermediate progress of the inductance analysis result can be output even during the nonlinear transient analysis, so that a part of the analysis result can be known at an early stage.

In this embodiment, the magnetic permeability distribution data is calculated by the nonlinear transient magnetic field analysis and the linear analysis based on the magnetic permeability distribution data is performed at each time step. It is difficult to conceive of it as a means of performing inductance analysis. However, since it is not necessary to write and read the permeability distribution data to and from an external storage device, etc., and it is not necessary to re-input the control data for analyzing the inductance matrix component, the above-mentioned effects can be obtained, and the inductance analysis can be performed efficiently. You can achieve your purpose.

<Inductance Analysis Processing of Example 2>
Embodiment 2 of the present invention will be described with reference to FIG. In the first embodiment, the inductance matrix component is calculated each time the time step is updated, but the present invention is not limited to this. That is, in the second embodiment, after performing the nonlinear transient analysis for N time steps, the linear magnetic field analysis for N time steps is collectively performed to calculate the inductance matrix components for each time step.

FIG. 4 is a flowchart illustrating inductance analysis processing according to the second embodiment. N time steps refer to N time steps before and after. Typical values for N are relatively small integers such as 2, 3, 4, and so on. Each of steps S42, S42, and S44 is an analysis process that collectively performs N time steps in steps S32, S33, and S34 of the first embodiment.

First, in step S41, the analysis unit 113 inputs mesh data and analysis conditions necessary for nonlinear transient magnetic field analysis. Next, in step S42, the analysis unit 113 executes the nonlinear transient magnetic field analysis to be analyzed for N time steps. In step S42, the analysis unit 113 performs nonlinear transient magnetic field analysis for calculating the magnetic permeability distribution of each mesh element such as the finite element method in the nonlinear magnetic region for N time steps, and stores the calculation result in the main storage device. .

Next, in step S43, the analysis unit 113 performs linear magnetic field analysis of N time steps using the magnetic permeability distribution data calculated in step S42. Next, in step S44, the analysis unit 113 calculates and outputs the inductance matrix component of each time step regarding the coil from the coil magnetic flux linkage value of N time steps based on the result of the linear magnetic field analysis of step S43.

Next, in step S45, the analysis unit 113 determines whether or not to update the time step and execute steps S42 to S44. The analysis unit 113 returns the process to step S42 if steps S42 to S44 are to be executed (step S45 Yes), and ends this inductance analysis process if not to be executed (step S45 No). As described above, the analysis unit 113 executes steps S42 to S44 for a predetermined number of time steps in units of N time steps.

<Effect of Example 2>
According to the present embodiment, the same effect as in the first embodiment can be obtained by collectively performing the nonlinear transient magnetic field analysis and the linear magnetic field analysis using the permeability distribution data every N time steps.

<Inductance Analysis Processing of Example 3>
A third embodiment will be described with reference to FIGS. 5 to 7. FIG. Example 3 is an example in which inductance analysis is performed only for time steps included in a required time period. FIG. 5 is a diagram illustrating the analysis results of the three-phase inductance matrix components of the inductance analysis of Example 2. FIG. FIG. 5 shows waveforms of L _u , L _v , L _w , M _uv , M _vw , and M _wu , which are three-phase inductance matrix components of a complete three-phase rotationally symmetric motor driven by a certain three-phase coil current. Here, similarly to the above, L _u , L _v , and L _w are the self-inductances of the U-phase coil, V-phase coil, and W-phase coil, respectively. M _uv is the mutual inductance between the U and V phase coils, M _vw is the mutual inductance between the V and W phase coils, and M _wu is the mutual inductance between the W and U phase coils. .

As can be seen from FIG. 5, the three-phase inductance matrix components form a waveform of one period at an electrical angle of 180 degrees, for example. In this case, L _v and L _w are waveforms obtained by phase- _shifting the waveform of L _u by ₋₆₀ degrees and ₋₁₂₀ degrees, respectively. The waveform is phase-shifted by -120 degrees. Therefore, for example, if only the waveforms of _{Lu and Muv are} obtained, the waveforms of the other four components can be obtained by phase shifting.

Therefore, at each time step in the electrical angle range of 180 degrees, after obtaining the magnetic permeability distribution by nonlinear transient magnetic field analysis, using the obtained magnetic permeability distribution, L _v , L _w , and _Lu at each time step Perform a single linear magnetic field analysis to calculate any and any of M _uv , M _vw , M _wu . Thereby, all three-phase inductance matrix components can be obtained. Such a method is useful because electrical equipment is generally a complete three-phase rotationally symmetric system in many cases. It should be noted that "180 electrical degrees" and "-60 degrees and -120 degrees phase shifts" are merely examples.

Also, in rotating machines, dq-axis inductance matrix components are used rather than three-phase inductances. Therefore, the inductance matrix components are obtained by calculating the d-axis self-inductance L _d , the q-axis self-inductance L _q , and the dq-axis mutual inductance M _dq . FIG. 6 is a diagram illustrating the analysis of the dq-axis inductance matrix components of the inductance analysis of Example 3;

As can be seen from FIG. 6, the d-axis self-inductance L _d , the q-axis self-inductance L _q , and the dq-axis mutual inductance M _dq form one cycle waveform at an electrical angle of 60 degrees. Therefore, at each time step in the electrical angle range of 60 degrees, the d-axis self-inductance L _d and the q-axis self-inductance L _q at each time step are calculated twice using the magnetic permeability distribution obtained by the nonlinear transient magnetic field analysis. perform a linear magnetic field analysis of Thereby, all dq-axis inductance matrix components can be obtained. This "electrical angle of 60 degrees" is merely an example.

FIG. 7 is a flowchart illustrating inductance analysis processing according to the third embodiment. In the inductance analysis process of the third embodiment shown in FIG. 7, steps S31 to S34 are the same as the inductance analysis process of the first embodiment shown in FIG.

In Example 3, in step S37 following step S34, the analysis unit 113 determines whether to continue the inductance analysis as a determination of whether to update the time step. For example, in step S37, the inductance analysis is performed in the case of the three-phase inductance matrix components, the passage of the number of time steps corresponding to 180 electrical degrees, or in the case of the dq-axis inductance matrix components, the time corresponding to 60 electrical degrees. After the number of time steps has elapsed, it is determined that the process has ended. The number of time steps corresponding to 180 electrical degrees or the number of time steps corresponding to 60 electrical degrees are examples of the first number of time steps.

When updating the time step (continuing the inductance analysis) (Yes in step S37), the analysis unit 113 returns the process to step S32, and when not updating the time step (No in step S37), moves the process to step S38. In step S38, the analysis unit 113 executes the remaining nonlinear transient magnetic field analysis after the end of the inductance analysis. The remaining nonlinear transient magnetic field analysis after the end of the inductance analysis is the nonlinear transient magnetic field analysis subsequent to the nonlinear transient magnetic field analysis executed in step S32. When step S38 ends, the analysis unit 113 ends this inductance analysis process.

<Effect of Example 3>
In this embodiment, based on the periodicity of the inductance of the electric device, the magnetic permeability distribution obtained by the nonlinear transient magnetic field analysis is used at each time step only in the range of the electrical angle corresponding to one cycle. Calculate the inductance matrix components of Therefore, the execution time of inductance analysis can be shortened.

Further, in the present embodiment, in the case of a complete three-phase rotationally symmetrical electrical device, at each time step, the self-inductance of any one of the phases is used for the linear magnetic field analysis using the magnetic permeability distribution obtained by the nonlinear transient magnetic field analysis. calculate. Also, the self-inductance and mutual inductance of the other two phases are calculated based on the phase shift. Therefore, the number of times the linear magnetic field analysis is performed can be reduced, and the processing speed can be increased.

<Inductance Analysis Processing of Example 4>
Embodiment 4 of the present invention will be described with reference to FIG. In Example 2, nonlinear transient magnetic field analysis and linear magnetic field analysis for N time steps were performed together, but in Example 4, linear magnetic field analysis was performed once every N time steps (N is an integer of 2 or more) to implement. That is, in this embodiment, the nonlinear transient magnetic field analysis is executed every time step, but the linear magnetic field analysis and the inductance matrix component calculation using the permeability distribution data by the nonlinear transient magnetic field analysis are performed once every N time steps. only executed.

FIG. 8 is a flowchart illustrating an inductance analysis process according to the fourth embodiment. In the inductance analysis process of the fourth embodiment shown in FIG. 8, steps S31 to S35 are the same as the inductance analysis process of the first embodiment shown in FIG.

In the inductance analysis process of the fourth embodiment, in step S51 following step S32, the analysis unit 113 determines whether to calculate the inductance matrix component. The inductance matrix components are calculated every N time steps. If the analysis unit 113 calculates the inductance matrix component (step S51 Yes), the process proceeds to step S33. On the other hand, if the analysis unit 113 does not calculate the inductance matrix component (step S51 No), the process proceeds to step S35.

<Effect of Example 4>
According to this embodiment, since the inductance matrix components do not change significantly over time, the execution time required for the entire analysis can be shortened by reducing the number of time steps for calculating the inductance matrix components.

[Modification]
In the first to fourth embodiments described above, the time step at which the calculation of the inductance matrix components relating to the coil is started is not limited to the initial time step. Depending on the analysis target, it may take a certain number of time steps for the field of the analysis target to settle into a steady state in the transient analysis. A steady state refers to a state in which physical quantities such as magnetic flux density and inductance (torque waveform in the case of a motor) are time-periodic. If it is desired to calculate the inductance matrix components with high accuracy, the inductance matrix component calculation may be performed after the steady state is reached after the predetermined second time step number has elapsed. By appropriately setting the predetermined number of second time steps, the calculation start timing of the inductance matrix components can be adjusted, and the accuracy of the inductance matrix components and the calculation processing speed can be balanced.

<Configuration of Inductance Analysis System of Examples 1 to 4>
An inductance analysis system that executes the method of the embodiment shown in Examples 1 to 4 will be described below. FIG. 9 is a diagram illustrating the hardware configuration of a computer for realizing the inductance analysis system. 10 is a block diagram illustrating the functional configuration of the inductance analysis system of Example 1. FIG. FIG. 11 is a diagram showing a specific example of a computer for realizing the inductance analysis system of Example 1. FIG.

<Hardware configuration of inductance analysis system>
First, the hardware configuration of the inductance analysis system will be described. As shown in FIG. 9, the inductance analysis system 100 comprises a calculator 101, a display device 102, a storage device 103, and an input device 104. FIG. The input device 104 is, for example, a keyboard and a mouse, and is used for inputting data required for processing of the computer 101 . Necessary data are, for example, mesh data and control data necessary for setting analysis conditions.

In the storage device 103, processing result data of the computer 101 and input data inputted via the input device 104 are stored as data files. Note that the storage device 103 may be installed outside the computer 101 and connected to the computer 101 , or may be installed inside the computer 101 .

The display device 102 displays data files (processing result data, input data, etc.) in the storage device 103 .

The computer 101 executes a program for realizing the analysis processes shown in FIGS. 2, 4 and 7 based on the data files in the storage device 103 . This program is, for example, an analysis execution module obtained by compiling a source file in which algorithms describing the methods of Examples 1 to 4 are coded. The analysis is executed by the CPU of the computer 101 executing the analysis execution module loaded onto the memory.

<Functional configuration of inductance analysis system>
Next, the functional configuration of the inductance analysis system will be described. As shown in FIG. 10 , inductance analysis system 100 has mesh data storage section 111 , control data storage section 112 , analysis section 113 , analysis result storage section 114 , and analysis result display section 115 . The mesh data storage unit 111, the control data storage unit 112, and the analysis result storage unit 114 are composed of volatile or nonvolatile storage devices.

The mesh data storage unit 111 stores mesh data for numerically solving differential equations using the finite element method or the like. This mesh data includes positional coordinate components, node numbers, material numbers, etc. of the nodes of each element that constitutes the mesh of the analysis area.

The control data storage unit 112 stores control data that summarizes analysis conditions and the like for executing analysis processing by the analysis unit 113 . This control data contains information about the magnetic material present in the magnetic material area. The information about the magnetic body is, for example, the material properties of the magnetic body region, the residual magnetization of the magnet, and the like. Various data stored in these mesh data storage unit 111 and control data storage unit 112 are input via the input device 104 and stored in the storage device 103 .

The analysis unit 113 is a processing device such as a CPU, and performs analysis processing such as numerically solving a differential equation for the analysis region according to the data contents stored in the mesh data storage unit 111 and the control data storage unit 112. Calculate the inductance for the coil by running

The analysis result storage unit 114 stores the analysis result by the analysis unit 113 . The analysis result display unit 115 performs output processing such as displaying the analysis result by the analysis unit 113 on the display screen of the display device 102 shown in FIG. 9, for example.

<Specific example of a computer that realizes an inductance analysis system>
Finally, a computer that implements the inductance analysis system will be specifically described. As shown in FIG. 11, a computer 500 that realizes the inductance analysis system 100 includes an arithmetic processing unit 530 represented by a CPU, a memory 540 such as a RAM (random access memory), an input device 560 (for example, a keyboard, a mouse, a touch panel, etc.). ), and an output device 570 (eg, a video graphics card connected to an external display monitor) are interconnected through memory controller 550 .

In the computer 500, a program for realizing the inductance analysis system 100 is read from an external storage device 580 such as an SSD or HDD via an I/O (Input/Output) controller 520, and processed by an arithmetic processing unit 530 and memory. 540 cooperation is executed as a process. Thereby, the inductance analysis system 100 is realized in the computer 500 .

Alternatively, a program for realizing inductance analysis system 100 distributed in a form stored in a predetermined storage medium may be read from a predetermined storage medium via a medium reader (not shown) and executed. good. Alternatively, the program for realizing inductance analysis system 100 may be acquired from an external computer through communication via network interface 510 .

Note that the computer 500 may have a partial physical configuration, for example, an external storage device 580 and a medium reading device connected via a network. Further, the computer 500 may have a plurality of arithmetic processing units 530, and the plurality of arithmetic processing units 530 may execute processing while distributing the load. Alternatively, the inductance analysis system 100 may include a plurality of computers 500, and the plurality of computers 500 may perform processing while distributing the load.

In addition, the present invention is not limited to the above-described embodiments, and includes various modifications. For example, the above-described embodiments have been described in detail in order to explain the present invention in an easy-to-understand manner, and are not necessarily limited to those having all the described configurations. In addition, it is possible to replace part of the configuration of one embodiment with the configuration of another embodiment, and it is also possible to add the configuration of another embodiment to the configuration of one embodiment. Moreover, it is possible to add, delete, replace, integrate, and distribute other configurations for a part of the configuration of each embodiment. Also, each process shown in the embodiment may be appropriately distributed or integrated based on processing efficiency or implementation efficiency.

100: inductance analysis system, 101: calculator, 102: display device, 103: storage device, 104: input device, 111: mesh data storage unit, 112: control data storage unit, 113: analysis unit, 114: analysis result storage unit , 115: analysis result display unit, 500: computer, 510: network interface, 520: controller, 530: arithmetic processing unit, 540: memory, 550: memory controller, 560: input device, 570: output device, 580: external storage Device

Claims (10)

An inductance analysis method executed by an inductance analysis system,
Calculating the magnetic permeability distribution at a certain time step of each element included in the nonlinear magnetic region of an electrical device including a nonlinear magnetic body and a coil by nonlinear transient magnetic field analysis,
Before updating the time step from the certain time step to the next time step, a linear magnetic field analysis is performed using the magnetic permeability distribution at the certain time step, and based on the analysis result of the linear magnetic field analysis, An inductance analysis method, comprising: calculating an inductance matrix component for the coil at the certain time step. The inductance analysis system is
2. The inductance analysis method according to claim 1, further comprising displaying the inductance matrix components on a display device each time the inductance matrix components are calculated. The inductance analysis system is
Before calculating the magnetic permeability distribution for each time step and updating the time step, a linear magnetic field analysis is performed using the magnetic permeability distribution, and based on the analysis result of the linear magnetic field analysis, for each time step The inductance analysis method according to claim 1, further comprising calculating the inductance matrix components. The inductance analysis system is
The magnetic permeability distribution is calculated for each N consecutive time steps (N is an integer of 2 or more), and before updating the time steps, a linear magnetic field analysis is performed using the magnetic permeability distribution, and the linear magnetic field 2. The inductance analysis method according to claim 1, wherein the inductance matrix components for each of the N time steps are calculated based on an analysis result of the analysis. The inductance analysis system is
Calculating the magnetic permeability distribution at each time step until the first number of time steps is reached, performing linear magnetic field analysis using the magnetic permeability distribution before updating the time step, and performing analysis by the linear magnetic field analysis 2. The inductance analysis method according to claim 1, wherein the inductance matrix component for each time step is calculated based on the result. The inductance analysis system is
Before updating the time step, the magnetic permeability distribution is calculated each time N time steps (N is an integer equal to or greater than 2) elapse, a linear magnetic field analysis is performed using the magnetic permeability distribution, and the linear magnetic field 2. The inductance analysis method according to claim 1, wherein the inductance matrix components for each of the N time steps are calculated based on an analysis result of the analysis. The inductance analysis system is
calculating the magnetic permeability distribution for each time step, performing linear magnetic field analysis using the magnetic permeability distribution before updating the time step for each time step after the second number of time steps have elapsed, 2. The inductance analysis method according to claim 1, wherein the inductance matrix component for each time step is calculated based on the analysis result of linear magnetic field analysis. The inductance analysis method according to claim 7, wherein the second number of time steps is the number of time steps at which the inductance of the coil is in a steady state. the computer,
Calculating the magnetic permeability distribution at a certain time step of each element included in the nonlinear magnetic region of an electrical device including a nonlinear magnetic body and a coil by nonlinear transient magnetic field analysis,
Before updating the time step from the certain time step to the next time step, a linear magnetic field analysis is performed using the magnetic permeability distribution at the certain time step, and based on the analysis result of the linear magnetic field analysis, An inductance analysis program for functioning as an inductance analysis system that executes each process of calculating an inductance matrix component related to the coil at the certain time step. An inductance analysis system having a processing device and a main storage device, wherein the processing device and the main storage device cooperate to execute processing,
The processing device is
Calculating the magnetic permeability distribution at a certain time step of each element included in the nonlinear magnetic region of an electrical device including a nonlinear magnetic body and a coil by nonlinear transient magnetic field analysis,
Before updating the time step from the certain time step to the next time step, a linear magnetic field analysis is performed using the magnetic permeability distribution at the certain time step, and based on the analysis result of the linear magnetic field analysis, An inductance analysis system that performs each process of calculating an inductance matrix component related to the coil at the certain time step.

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