Simulation model construction method, simulation calculation method, system, equipment and medium

Abstract

The invention relates to a non-linear capacitor simulation model construction method, a simulation calculation method, a system, equipment and a medium. According to the non-linear capacitor simulation model construction method, differential and numerical discretization are carried out on display non-linear functions of capacitor charges and capacitor voltages, so that a function relationship between a capacitor current and any moment in preset simulation time is obtained; equivalent modeling is carried out on a function relation between capacitance current and any moment in preset simulation time by utilizing a mode that a resistor is connected with a current source in parallel, a simulation model is constructed, the nonlinear capacitance is solved by utilizing the simulation model, so that frequent modification of a coefficient matrix can be avoided, the phenomenon of non-convergence in the nonlinear capacitance solving process is avoided, and the calculation accuracy is improved. And the stability and the accuracy of solving the nonlinear capacitance by the simulation model are improved.

Description

Technical Field

[0001] The present invention relates to the technical field of power switch devices, and in particular to a simulation model construction method, a simulation calculation method, a system, a device and a medium. Background Art

[0002] The device-level detailed model of the power switch device can accurately simulate the overvoltage and overcurrent phenomena when the switch is turned on and off, which is very important for the design of the power electronic equipment and electromagnetic disturbance analysis. At present, the device-level model includes two types: physical model and behavioral model. The physical model equation is complex and the parameters are difficult to obtain. Therefore, the behavioral model is generally used in the simulation of power electronic equipment. However, the detailed behavioral model contains a variety of nonlinear elements, such as junction capacitance, diffusion capacitance, etc., and its nonlinear function is complex. Frequent iterations are required when solving, and it is easy to have non-convergence. Summary of the invention

[0003] In order to solve the problems existing in the prior art, the present invention provides a method for constructing a simulation model of a nonlinear capacitor, the method comprising:

[0004] Obtaining the capacitance and capacitance voltage of the nonlinear capacitor in the power switch device to be tested at all times in a preset simulation time;

[0005] Based on the capacitance and the capacitance voltage of the nonlinear capacitor, constructing an explicit nonlinear function of the capacitance charge and the capacitance voltage;

[0006] Differentiate and numerically discretize the explicit nonlinear function of capacitor charge and capacitor voltage to obtain the functional relationship between the capacitor current and any moment in the preset simulation time;

[0007] The functional relationship between the capacitor current and any moment in the preset simulation time is equivalently modeled in the form of a resistor in parallel with a current source, thereby obtaining a simulation model of the nonlinear capacitor.

[0008] Optionally, the step of differentiating and numerically discretizing the explicit nonlinear function of capacitor charge and capacitor voltage to obtain a functional relationship between the capacitor current and any moment in a preset simulation time includes:

[0009] Differentiate the explicit nonlinear function of capacitor charge and capacitor voltage to obtain the functional relationship between capacitor current and capacitor voltage;

[0010] The functional relationship between the capacitor current and the capacitor voltage is numerically discretized using a preset discretization method to obtain the functional relationship between the capacitor current and any moment in the preset simulation time.

[0011] Optionally, when the preset discretization method is a trapezoidal discretization method, the functional relationship between the capacitor current and any moment in the preset simulation time satisfies the following formula:

[0012]

[0013] Among them, t is any moment in the preset simulation time, i(t) is the capacitor current at moment t, dt is the simulation step, v(t) is the capacitor voltage at moment t, f[v(t)] is the charge at moment t, t-dt is the moment before moment t, v(t-dt) is the capacitor voltage at the moment before moment t, f[v(t-dt)] is the charge at the moment before moment t, and i(t-dt) is the capacitor current at the moment before moment t.

[0014] Optionally, the equivalent modeling of the functional relationship between the capacitor current and any moment in the preset simulation time by using a resistor in parallel with a current source to obtain the simulation model of the nonlinear capacitor includes:

[0015] The functional relationship between the capacitor current and any moment in the preset simulation time is equivalently modeled by using a resistor in parallel with the current source, so as to obtain the functional relationship between the current source and any moment in the preset simulation time;

[0016] The functional relationship between the current source and any moment in the preset simulation time is used as a simulation model of the nonlinear capacitor in the power switch device.

[0017] Optionally, the functional relationship between the current source and any moment in the preset simulation time satisfies the following formula:

[0018]

[0019] Among them, R is the resistance, G is the set value, I eq (t) is the current source solved at time t, t is any moment in the preset simulation time, dt is the simulation step, v(t) is the capacitor voltage at time t, f[v(t)] is the charge at time t, I hist (t) is the current source solved based on the moment before time t, t-dt is the moment before time t, i(t-dt) is the capacitor current at the moment before time t, v(t-dt) is the capacitor voltage at the moment before time t, and f[v(t-dt)] is the charge at the moment before time t.

[0020] Optionally, constructing an explicit nonlinear function of capacitor charge and capacitor voltage based on the capacitance and capacitor voltage of the nonlinear capacitor includes:

[0021] Based on the capacitance and the capacitance voltage of the nonlinear capacitor, constructing an explicit nonlinear function of the capacitance and the capacitance voltage;

[0022] The explicit nonlinear function of the capacitance and the capacitance voltage is integrated to obtain the explicit nonlinear function of the capacitance charge and the capacitance voltage.

[0023] Based on the same inventive concept, the present invention also provides a simulation model construction system for nonlinear capacitors, the system comprising:

[0024] A parameter acquisition unit, used to acquire the capacitance and capacitance voltage of the nonlinear capacitor in the power switch device to be tested at all times in a preset simulation time;

[0025] A function construction unit, used for constructing an explicit nonlinear function of capacitor charge and capacitor voltage based on the capacitance and capacitor voltage of the nonlinear capacitor;

[0026] A functional relationship determination unit is used to differentiate and numerically discretize the explicit nonlinear function of capacitor charge and capacitor voltage to obtain a functional relationship between the capacitor current and any moment in a preset simulation time;

[0027] The simulation model building unit is used to equivalently model the functional relationship between the capacitor current and any moment in the preset simulation time in the form of a resistor parallel to a current source, so as to obtain the simulation model of the nonlinear capacitor.

[0028] Optionally, the functional relationship determining unit is specifically configured to:

[0029] Differentiate the explicit nonlinear function of capacitor charge and capacitor voltage to obtain the functional relationship between capacitor current and capacitor voltage;

[0030] The functional relationship between the capacitor current and the capacitor voltage is numerically discretized using a preset discretization method to obtain the functional relationship between the capacitor current and any moment in the preset simulation time.

[0031] Optionally, when the preset discretization method is a trapezoidal discretization method, the functional relationship between the capacitor current and any moment in the preset simulation time satisfies the following formula:

[0032]

[0033] Among them, t is any moment in the preset simulation time, i(t) is the capacitor current at moment t, dt is the simulation step, v(t) is the capacitor voltage at moment t, f[v(t)] is the charge at moment t, t-dt is the moment before moment t, v(t-dt) is the capacitor voltage at the moment before moment t, f[v(t-dt)] is the charge at the moment before moment t, and i(t-dt) is the capacitor current at the moment before moment t.

[0034] Optionally, the simulation model building unit is specifically used to:

[0035] The functional relationship between the capacitor current and any moment in the preset simulation time is equivalently modeled by using a resistor in parallel with the current source, so as to obtain the functional relationship between the current source and any moment in the preset simulation time;

[0036] The functional relationship between the current source and any moment in the preset simulation time is used as a simulation model of the nonlinear capacitor in the power switch device.

[0037] Optionally, the functional relationship between the current source and any moment in the preset simulation time satisfies the following formula:

[0038]

[0039] Among them, R is the resistance, G is the set value, I eq (t) is the current source solved at time t, t is any moment in the preset simulation time, dt is the simulation step, v(t) is the capacitor voltage at time t, f[v(t)] is the charge at time t, I hist (t) is the current source solved based on the moment before time t, t-dt is the moment before time t, i(t-dt) is the capacitor current at the moment before time t, v(t-dt) is the capacitor voltage at the moment before time t, and f[v(t-dt)] is the charge at the moment before time t.

[0040] Optionally, the function construction unit is specifically used to:

[0041] Based on the capacitance and the capacitance voltage of the nonlinear capacitor, constructing an explicit nonlinear function of the capacitance and the capacitance voltage;

[0042] The explicit nonlinear function of the capacitance and the capacitance voltage is integrated to obtain the explicit nonlinear function of the capacitance charge and the capacitance voltage.

[0043] Based on the same inventive concept, the present invention also provides a simulation calculation method for nonlinear capacitance, the method comprising:

[0044] Constructing a simulation model of a nonlinear capacitor based on the above-mentioned simulation model construction method of a nonlinear capacitor, and constructing a power switch device model including a nonlinear capacitor;

[0045] Based on the power switch device model, construct a nonlinear equation of a circuit model including the power switch device;

[0046] Based on the nonlinear equation of the circuit model, the initial capacitor voltage of the nonlinear capacitor and the simulation time, a simulation calculation is performed on the simulation model of the nonlinear capacitor to obtain a simulation current of the nonlinear capacitor at the simulation time.

[0047] Optionally, the performing simulation calculation on the simulation model of the nonlinear capacitor based on the nonlinear equation of the circuit model, the initial capacitor voltage of the nonlinear capacitor and the simulation time to obtain the simulation current of the nonlinear capacitor at the simulation time includes:

[0048] Iteratively solving the nonlinear equation of the circuit model based on the simulation time and the initial capacitor voltage of the nonlinear capacitor;

[0049] The simulation model of the nonlinear capacitor is simulated and solved by iteratively solving the nonlinear equation of the circuit model, and the simulation current of the nonlinear capacitor at the simulation time is calculated.

[0050] Optionally, the simulation model of the nonlinear capacitor includes a resistor, a current source solved according to a historical moment, and a current source solved according to a simulation moment;

[0051] The method of iteratively solving the nonlinear equation of the circuit model to simulate and solve the simulation model of the nonlinear capacitor, and calculating the simulated current of the nonlinear capacitor at the simulation time, includes:

[0052] When the nonlinear equation of the circuit model is iteratively processed, the resistor and the current source solved according to the historical moment are constant values, and the current source solved according to the simulation moment is simulated and solved by iteratively solving the nonlinear equation of the circuit model;

[0053] Calculate the difference between the capacitor voltage of the current iteration and the capacitor voltage of the previous iteration;

[0054] When the absolute value of the difference is less than a set threshold, the simulation model of the nonlinear capacitor outputs a simulation current of the nonlinear capacitor at the simulation time.

[0055] Based on the same inventive concept, the present invention also provides a simulation calculation system for nonlinear capacitance, the system comprising:

[0056] A device model building unit, used to build a simulation model of a nonlinear capacitor based on the above-mentioned simulation model building method of a nonlinear capacitor, and to build a power switch device model including a nonlinear capacitor;

[0057] An equation building unit, used to build a nonlinear equation of a circuit model including a power switching device based on the power switching device model;

[0058] The simulation current determination unit is used to perform simulation calculation on the simulation model of the nonlinear capacitor based on the nonlinear equation of the circuit model, the initial capacitor voltage of the nonlinear capacitor and the simulation time to obtain the simulation current of the nonlinear capacitor at the simulation time.

[0059] Optionally, the simulation current determination unit includes:

[0060] An equation solving module, used for iteratively solving the nonlinear equation of the circuit model based on the simulation time and the initial capacitor voltage of the nonlinear capacitor;

[0061] The simulation current determination module is used to perform simulation solution on the simulation model of the nonlinear capacitor by iteratively solving the nonlinear equation of the circuit model, and calculate the simulation current of the nonlinear capacitor at the simulation time.

[0062] Optionally, the simulation model of the nonlinear capacitor includes a resistor, a current source solved according to a historical moment, and a current source solved according to a simulation moment;

[0063] The simulation current determination module is specifically used for:

[0064] When the nonlinear equation of the circuit model is iteratively processed, the resistor and the current source solved according to the historical moment are constant values, and the current source solved according to the simulation moment is simulated and solved by iteratively solving the nonlinear equation of the circuit model;

[0065] Calculate the difference between the capacitor voltage of the current iteration and the capacitor voltage of the previous iteration;

[0066] When the absolute value of the difference is less than a set threshold, the simulation model of the nonlinear capacitor outputs a simulation current of the nonlinear capacitor at the simulation time.

[0067] Based on the same inventive concept, the present invention also provides a computing device, including: one or more processors;

[0068] a processor for executing one or more programs;

[0069] When the one or more programs are executed by the one or more processors, a simulation model construction method of a nonlinear capacitor or a simulation calculation method of a nonlinear capacitor as described above is implemented.

[0070] Based on the same inventive concept, the present invention also provides a computer-readable storage medium having a computer program stored thereon. When the computer program is executed, it implements a simulation model construction method of a nonlinear capacitor or a simulation calculation method of a nonlinear capacitor as described above.

[0071] Compared with the prior art, the present invention has the following beneficial effects:

[0072] The present invention provides a simulation model construction method, simulation calculation method, system, equipment and medium of a nonlinear capacitor. The simulation model construction method of a nonlinear capacitor obtains the functional relationship between the capacitor current and any moment in the preset simulation time by differentiating and numerically discretizing the displayed nonlinear function of the capacitor charge and the capacitor voltage, and equivalently models the functional relationship between the capacitor current and any moment in the preset simulation time by using a resistor in parallel with a current source to construct a simulation model. The simulation model is used to solve the nonlinear capacitor, which can avoid frequent modification of the coefficient matrix, avoid non-convergence in the process of solving the nonlinear capacitor, and improve the stability and accuracy of the simulation model in solving the nonlinear capacitor.

[0073] The simulation calculation method of nonlinear capacitors uses a simulation model to simulate and solve nonlinear capacitors, which can avoid frequent modifications of the coefficient matrix and non-convergence in the process of solving nonlinear capacitors, thereby improving the stability and accuracy of nonlinear capacitors. In addition, in the process of simulating and solving nonlinear capacitors in power devices, a smaller simulation step size can be set to further improve the stability and accuracy of the simulation model for nonlinear capacitor simulation solutions. BRIEF DESCRIPTION OF THE DRAWINGS

[0074] Figure 1 A flowchart of a method for constructing a simulation model of a nonlinear capacitor provided by the present invention;

[0075] Figure 2 A flowchart of another method for constructing a simulation model of a nonlinear capacitor provided by the present invention;

[0076] Figure 3 A flowchart of another method for constructing a simulation model of a nonlinear capacitor provided by the present invention;

[0077] Figure 4 A schematic diagram of a nonlinear capacitor provided by the present invention being equivalent to a resistor in parallel with a current source;

[0078] Figure 5 A block diagram of a simulation model building system for a nonlinear capacitor provided by the present invention;

[0079] Figure 6 A flowchart of a simulation calculation method of a nonlinear capacitor provided by the present invention;

[0080] Figure 7 A flowchart of another simulation calculation method of nonlinear capacitance provided by the present invention;

[0081] Figure 8 A circuit topology diagram of a dual active bridge converter provided by the present invention;

[0082] Fig. 9A schematic diagram of a convergence error provided by the present invention;

[0083] Fig.10 A block diagram of a simulation calculation system for nonlinear capacitance provided by the present invention;

[0084] Fig.11 A block diagram of a computer device provided by the present invention. DETAILED DESCRIPTION

[0085] Embodiment 1:

[0086] The present invention relates to a method for constructing a simulation model of a nonlinear capacitor of a power switching device. The method first searches for an explicit function of a nonlinear capacitor charge with respect to voltage in the power switching device, then discretizes the function, models the discrete expression in the form of a current source injection, and finally models the nonlinear capacitor in the form of a resistor in parallel with a current source by connecting a constant resistor with an appropriate value in parallel.

[0087] The method for constructing a simulation model of a nonlinear capacitor is described through the following specific implementation manner.

[0088] Figure 1 A flowchart of a method for constructing a simulation model of a nonlinear capacitor provided by the present invention, such as Figure 1 As shown, the method may include the following steps:

[0089] In step 101, the capacitance and capacitance voltage of the nonlinear capacitor in the power switch device to be tested are obtained at all times in a preset simulation time.

[0090] Among them, the preset simulation time can include multiple moments, the preset simulation time can be set according to the simulation requirements of the nonlinear capacitor, the nonlinear capacitor can include junction capacitance and diffusion capacitance, the power switch device to be tested can include BJT (Bipolar Junction Transistor, bipolar transistor), MOSFET (Metal-Oxide-SemiconductorField-Effect Transistor, metal oxide semiconductor field effect transistor) or IGBT (Insulated Gate Bipolar Transistor, insulated gate bipolar transistor), etc., and the capacitor voltage can be a function of the capacitor voltage value at any moment of the preset simulation time, that is, v=v(t). The power switch device to be tested can also be called a power electronic switch device.

[0091] It should be noted that the capacitance value of the nonlinear capacitor in the power switching device to be tested changes with the change of the capacitor voltage. At any moment of the preset simulation time, the capacitance of the nonlinear capacitor corresponds to the capacitance voltage of the nonlinear capacitor. For example, the preset simulation time can be the turn-on time of the power switching device to be tested. The turn-on time can include time 0, time 1, time 2, and time 3, etc. The capacitance and capacitance voltage of the nonlinear capacitor at time 0, the capacitance and capacitance voltage of the nonlinear capacitor at time 1, the capacitance and capacitance voltage of the nonlinear capacitor at time 2, and the capacitance and capacitance voltage of the nonlinear capacitor at time 3 are obtained through the simulation software.

[0092] In step 102, an explicit nonlinear function of capacitor charge and capacitor voltage is constructed based on the capacitance and capacitor voltage of the nonlinear capacitor.

[0093] Among them, the nonlinear capacitor in the power electronic switching device is usually a voltage-controlled capacitor with an explicit coulomb-volt characteristic, and the coulomb-volt characteristic is generally a piecewise nonlinear function. Under normal circumstances, the traditional Newton-Raphson iteration method can be used to solve the piecewise nonlinear function. When the traditional Newton-Raphson iteration method is used to solve the piecewise nonlinear function, however, the coefficients need to be modified repeatedly. The corresponding explicit charge-voltage relationship can be found for the nonlinear capacitor in the power switching device.

[0094] The specific implementation method in this step is to construct an explicit nonlinear function of capacitance and capacitance voltage based on the capacitance and capacitance voltage of the nonlinear capacitor; integrate the explicit nonlinear function of capacitance and capacitance voltage to obtain an explicit nonlinear function of capacitance charge and capacitance voltage.

[0095] For example, the junction capacitance and diffusion capacitance characteristics of the power device are expressed as an explicit nonlinear function of capacitance with respect to voltage C=f(v), where C represents the capacitance value and v represents the capacitance voltage. C=f(v) is integrated with respect to the voltage v to obtain an explicit nonlinear function of the nonlinear capacitance charge with respect to voltage Q=f(v) (that is, the junction capacitance and diffusion capacitance characteristics of the power device are expressed as an explicit nonlinear function of charge with respect to voltage Q=f(v)), where Q represents the capacitance charge and v represents the capacitance voltage.

[0096] In step 103, the explicit nonlinear function of the capacitor charge and the capacitor voltage is differentiated and numerically discretized to obtain a functional relationship between the capacitor current and any moment in the preset simulation time.

[0097] It should be noted that the explicit nonlinear function of the capacitor charge and the capacitor voltage may be differentiated first, and then the differentiated explicit nonlinear function may be numerically discretized to obtain the functional relationship between the capacitor current and any moment in the preset simulation time.

[0098] In step 104, a functional relationship between the capacitor current and any moment in the preset simulation time is equivalently modeled in the form of a resistor-parallel current source to obtain a simulation model of the nonlinear capacitor.

[0099] The functional relationship between the capacitor current and any moment in the preset simulation time may also be referred to as a discrete expression or a discrete type.

[0100] It should be noted that the nonlinear characteristic modeling and efficient and stable solution of the power switch (i.e., power switching device) are the key points in device simulation. By finding the corresponding explicit charge-voltage relationship for the nonlinear capacitor and then discretizing it as a current source model, in order to enhance the stability during the solution and reduce the frequent modification of the matrix, a constant resistor with an appropriate value is connected in parallel, and finally the nonlinear capacitor is modeled as a current source and a resistor in parallel.

[0101] For example, the discrete expression is modeled in the form of current source injection, and the nonlinear capacitor is modeled in the form of a resistor in parallel with a current source by connecting a constant resistor with an appropriate value in parallel.

[0102] Figure 2 A flowchart of another method for constructing a simulation model of a nonlinear capacitor provided by the present invention, such as Figure 2 As shown, Figure 1 The specific implementation of step 103 may include the following steps:

[0103] In step 1031, the explicit nonlinear function of capacitor charge and capacitor voltage is differentiated to obtain a functional relationship between capacitor current and capacitor voltage.

[0104] It should be noted that by differentiating the charge-voltage relationship Q=f(v), we can obtain the functional relationship between the capacitor current and the capacitor voltage (which can be expressed as a function of the current with respect to the voltage):

[0105] In step 1032, a preset discretization method is used to perform numerical discretization processing on the functional relationship between the capacitor current and the capacitor voltage to obtain the functional relationship between the capacitor current and any moment in the preset simulation time.

[0106] The preset discretization method may be a trapezoidal discretization, a forward Euler discretization, a backward Euler discretization, or a Runge-Kutta method (e.g., a fourth-order Runge-Kutta method, RK4), etc.

[0107] It should be noted that the functional relationship between capacitor current and capacitor voltage can generally be discretized using the trapezoidal method: When the preset discrete method is the trapezoidal discrete method, the functional relationship between the capacitor current and any moment in the preset simulation time satisfies the following formula:

[0108]

[0109] Among them, t is any moment in the preset simulation time, i(t) is the capacitor current at moment t, dt is the simulation step, v(t) is the capacitor voltage at moment t, f[v(t)] is the charge at moment t, t-dt is the moment before moment t, v(t-dt) is the capacitor voltage at the moment before moment t, f[v(t-dt)] is the charge at the moment before moment t, and i(t-dt) is the capacitor current at the moment before moment t.

[0110] Figure 3 A flowchart of another method for constructing a simulation model of a nonlinear capacitor provided by the present invention, such as Figure 3 As shown, Figure 1 The specific implementation of step 104 may include the following steps:

[0111] In step 1041, a resistor is connected in parallel with a current source to equivalently model the functional relationship between the capacitor current and any moment in the preset simulation time, thereby obtaining a functional relationship between the current source and any moment in the preset simulation time.

[0112] It should be noted that if Figure 4 As shown, the nonlinear capacitor C is equivalent to a resistor R in parallel with a current source (i.e., I eq and I hist ) form, the expression of the current source is obtained (i.e., the functional relationship between the current source and any moment in the preset simulation time), the conductance G is the additional conductance, and its value should be appropriate, I eq (t) represents the correlation quantity at time t, I hist (t) represents the relevant quantity before time t. The functional relationship between the current source and any time in the preset simulation time can satisfy the following formula:

[0113]

[0114] Among them, R is the resistance, G is the set value, I eq (t) is the current source solved at time t, t is any moment in the preset simulation time, dt is the simulation step, v(t) is the capacitor voltage at time t, f[v(t)] is the charge at time t, I hist (t) is the current source solved based on the moment before time t, t-dt is the moment before time t, i(t-dt) is the capacitor current at the moment before time t, v(t-dt) is the capacitor voltage at the moment before time t, and f[v(t-dt)] is the charge at the moment before time t.

[0115] For example, the nonlinear capacitor can be equivalent to a resistor parallel current source, and the functional relationship between the capacitor current injected and any moment in the preset simulation time (i.e., formula (1)) can be obtained. The functional relationship between the capacitor current injected by the resistor parallel current source and any moment in the preset simulation time can be equivalently modeled to obtain the functional relationship between the current source and any moment in the preset simulation time (i.e., formula (2)).

[0116] In step 1042, the functional relationship between the current source and any moment in the preset simulation time is used as a simulation model of the nonlinear capacitor in the power switch device.

[0117] For example, formula (2) can be used as a simulation model of nonlinear capacitance in a power switching device.

[0118] above Figure 2 and Figure 3 The technical solution shown differentiates and discretizes the explicit relationship between charge and voltage (i.e., numerical discretization), models the discrete expression in the form of a current source, and by connecting a constant resistor with an appropriate value in parallel, the nonlinear capacitor is equivalent to a resistor parallel current source circuit. The nonlinear capacitor is injected in the form of a current source to construct a simulation model of the nonlinear capacitor, which can avoid frequent modifications of the coefficient matrix. At the same time, in order to enhance the stability of the simulation calculation, a constant resistor with an appropriate value is connected in parallel. This method is applicable to the modeling and solution of junction capacitance and diffusion capacitance in power devices, and has a certain stability and accuracy when the simulation step size is small.

[0119] Embodiment 2:

[0120] Figure 5 A block diagram of a simulation model construction system for a nonlinear capacitor provided by the present invention, such as Figure 5 As shown, the system comprises:

[0121] The parameter acquisition unit 501 is used to acquire the capacitance and capacitance voltage of the nonlinear capacitor in the power switch device to be tested at all times in a preset simulation time;

[0122] A function construction unit 502, configured to construct an explicit nonlinear function of capacitor charge and capacitor voltage based on the capacitance and capacitor voltage of the nonlinear capacitor;

[0123] The functional relationship determination unit 503 is used to differentiate and numerically discretize the explicit nonlinear function of the capacitor charge and the capacitor voltage to obtain the functional relationship between the capacitor current and any moment in the preset simulation time;

[0124] The simulation model building unit 504 is used to equivalently model the functional relationship between the capacitor current and any moment in the preset simulation time in the form of a resistor in parallel with a current source, so as to obtain the simulation model of the nonlinear capacitor.

[0125] Optionally, the functional relationship determining unit 503 is specifically configured to:

[0126] Differentiate the explicit nonlinear function of capacitor charge and capacitor voltage to obtain the functional relationship between capacitor current and capacitor voltage;

[0127] The functional relationship between the capacitor current and the capacitor voltage is numerically discretized using a preset discretization method to obtain the functional relationship between the capacitor current and any moment in the preset simulation time.

[0128] Optionally, when the preset discretization method is a trapezoidal discretization method, the functional relationship between the capacitor current and any moment in the preset simulation time satisfies the following formula:

[0129]

[0130] Among them, t is any moment in the preset simulation time, i(t) is the capacitor current at moment t, dt is the simulation step, v(t) is the capacitor voltage at moment t, f[v(t)] is the charge at moment t, t-dt is the moment before moment t, v(t-dt) is the capacitor voltage at the moment before moment t, f[v(t-dt)] is the charge at the moment before moment t, and i(t-dt) is the capacitor current at the moment before moment t.

[0131] Optionally, the simulation model building unit 504 is specifically used to:

[0132] The functional relationship between the capacitor current and any moment in the preset simulation time is equivalently modeled by using a resistor in parallel with the current source, so as to obtain the functional relationship between the current source and any moment in the preset simulation time;

[0133] The functional relationship between the current source and any moment in the preset simulation time is used as a simulation model of the nonlinear capacitor in the power switch device.

[0134] Optionally, the functional relationship between the current source and any moment in the preset simulation time satisfies the following formula:

[0135]

[0136] Among them, R is the resistance, G is the set value, I eq (t) is the current source solved at time t, t is any moment in the preset simulation time, dt is the simulation step, v(t) is the capacitor voltage at time t, f[v(t)] is the charge at time t, I hist(t) is the current source solved based on the moment before time t, t-dt is the moment before time t, i(t-dt) is the capacitor current at the moment before time t, v(t-dt) is the capacitor voltage at the moment before time t, and f[v(t-dt)] is the charge at the moment before time t.

[0137] Optionally, the function construction unit 502 is specifically configured to:

[0138] Based on the capacitance and the capacitance voltage of the nonlinear capacitor, constructing an explicit nonlinear function of the capacitance and the capacitance voltage;

[0139] The explicit nonlinear function of the capacitance and the capacitance voltage is integrated to obtain the explicit nonlinear function of the capacitance charge and the capacitance voltage.

[0140] Embodiment 3:

[0141] Figure 6 A flowchart of a simulation calculation method of a nonlinear capacitor provided by the present invention, such as Figure 6 As shown, the method may include the following steps:

[0142] In step 601, a simulation model of a nonlinear capacitor is constructed based on the above-mentioned method for constructing a simulation model of a nonlinear capacitor, and a power switch device model including a nonlinear capacitor is constructed.

[0143] Among them, the simulation moment can be any moment in the preset simulation time, and generally, the simulation moment is a non-zero moment in the preset simulation time, for example: the preset simulation time includes moment 0, moment 1, moment 2 and moment 3, and the simulation moment can be moment 1, moment 2 or moment 3; the simulation model of the nonlinear capacitor can include a resistor, a current source solved according to the historical moment and a current source solved according to the simulation moment.

[0144] In step 602, a nonlinear equation of a circuit model including a power switch device is constructed based on the power switch device model.

[0145] In step 603, based on the nonlinear equation of the circuit model, the initial capacitor voltage of the nonlinear capacitor and the simulation time, a simulation calculation is performed on the simulation model of the nonlinear capacitor to obtain a simulation current of the nonlinear capacitor at the simulation time.

[0146] In some implementations, a complete power device model is constructed based on the power switch device capacitance model, a complete circuit model is constructed based on the complete power device model, and nonlinear equations of the complete circuit model are listed and solved iteratively.

[0147] Figure 7 A flowchart of another simulation calculation method of nonlinear capacitance provided by the present invention, such as Figure 7As shown, Figure 6 The specific implementation of step 603 may include the following steps:

[0148] In step 6031, the nonlinear equation of the circuit model is iteratively solved based on the simulation time and the initial capacitor voltage of the nonlinear capacitor.

[0149] The initial capacitor voltage can be represented as the capacitor voltage at time 0.

[0150] It should be noted that each time the nonlinear capacitor is simulated and calculated, the initial capacitor voltage of the nonlinear capacitor can be re-obtained.

[0151] In step 6032, the simulation model of the nonlinear capacitor is simulated and solved by iteratively solving the nonlinear equation of the circuit model, and the simulation current of the nonlinear capacitor at the simulation time is calculated.

[0152] The specific implementation of this step may include: when the nonlinear equation of the circuit model is iteratively processed, the resistance and the current source solved according to the historical moment are constant values, and the current source solved according to the simulation moment is simulated and solved by iteratively solving the nonlinear equation of the circuit model; the difference between the capacitor voltage of the current iteration and the capacitor voltage of the previous iteration is calculated; when the absolute value of the difference is less than a set threshold, the simulation model of the nonlinear capacitor outputs the simulation current of the nonlinear capacitor at the simulation moment.

[0153] It should be noted that at time t, the system equation is established to iteratively solve the unknown quantity v(t), where I hist When solving at time t, it is a constant value, I eq When solving at time t, the resistance R, I hist is a constant value, I eq The nth iteration is as follows, using the voltage value result at the n-1th iteration), as shown in the following formula.

[0154]

[0155] Among them, G is the set value, I eq (t) is the current source solved at time t, t is the simulation time, dt is the simulation step, v(n)(t) is the capacitor voltage at time t of the nth iteration, f[v (n) (t)] is the charge at time t of the nth iteration, I hist (t) is the current source solved at the moment before time t, n is the number of iterations, is the current source solved at the nth iteration according to time t.

[0156] When the capacitor voltage meets When ε is the set threshold, the calculation of the capacitor model converges (that is, when the iteration meets the convergence criterion, the solution at time t is completed), the simulation current is output, and the simulation results such as capacitor voltage and capacitance value can also be output. v (n) is the capacitor voltage at the nth iteration, v (n-1) is the capacitor voltage at the n-1th iteration.

[0157] For example, Figure 8 As shown, Figure 8 The circuit topology diagram of a dual active bridge converter provided by the present invention, wherein a DC voltage source Vs provides power, and passes through a high-frequency transformer to a load-side resistor R2, wherein a resistor R1 is connected between the DC voltage source Vs and the input end of the dual active bridge converter, and the output end of the dual active bridge converter is connected in parallel with a capacitor C2, and the turns ratio of the high-frequency transformer is N:1. The main parameters are as follows: DC power supply voltage Vs = 300V, power supply internal resistance is 0.01Ω, power device switching frequency f = 60kHz, DAB (Dual Active Bridge, dual active bridge converter) phase shift ratio is 0.1, and transformer leakage inductance L T The load side capacitance is 35μH, the load side capacitance is 800μF, and the load resistance is 4Ω.

[0158] IGBT uses a detailed device-level model (i.e., a behavioral model), in which the solution of nonlinear junction capacitance and diffusion capacitance adopts the model construction method and simulation calculation method of nonlinear capacitance provided by the present invention. The convergence tolerance during iteration is set to 1e-6 (in scientific notation, "e" means "multiplied by the power of 10"), the simulation step size is 1e-7, the running time (i.e., the preset simulation time) is 0.04s, and the convergence error at each moment is as follows: Fig. 9 As shown (the horizontal axis is the running time, the vertical axis is the maximum convergence error), Fig. 9 It can be seen that the nonlinear junction capacitance and diffusion capacitance can achieve better convergence effect by using this method to model.

[0159] The simulation calculation method of the present invention constructs a simulation model of nonlinear capacitance by equivalently treating the nonlinear characteristics of junction capacitance and diffusion capacitance in a power switching device as a constant resistance parallel current source, thereby avoiding frequent matrix modifications. When the simulation model is used to simulate and solve the nonlinear capacitance, artificially connecting a resistor with an appropriate value in parallel can increase the stability of the calculation, and has certain stability and accuracy under the smaller simulation step required at the device level.

[0160] Embodiment 4:

[0161] Fig.10 A block diagram of a simulation calculation system for a nonlinear capacitor provided by the present invention, such as Fig.10 As shown, the system comprises:

[0162] A device model building unit 1001 is used to build a simulation model of a nonlinear capacitor based on the above-mentioned simulation model building method of a nonlinear capacitor, and to build a power switch device model including a nonlinear capacitor;

[0163] An equation building unit 1002, configured to build a nonlinear equation of a circuit model including a power switch device based on the power switch device model;

[0164] The simulation current determination unit 1003 is used to perform simulation calculation on the simulation model of the nonlinear capacitor based on the nonlinear equation of the circuit model, the initial capacitor voltage of the nonlinear capacitor and the simulation time to obtain the simulation current of the nonlinear capacitor at the simulation time.

[0165] Optionally, the simulation current determining unit 1003 includes:

[0166] An equation solving module, used for iteratively solving the nonlinear equation of the circuit model based on the simulation time and the initial capacitor voltage of the nonlinear capacitor;

[0167] The simulation current determination module is used to perform simulation solution on the simulation model of the nonlinear capacitor by iteratively solving the nonlinear equation of the circuit model, and calculate the simulation current of the nonlinear capacitor at the simulation time.

[0168] Optionally, the simulation model of the nonlinear capacitor includes a resistor, a current source solved according to a historical moment, and a current source solved according to a simulation moment;

[0169] The simulation current determination module is specifically used for:

[0170] When the nonlinear equation of the circuit model is iteratively processed, the resistor and the current source solved according to the historical moment are constant values, and the current source solved according to the simulation moment is simulated and solved by iteratively solving the nonlinear equation of the circuit model;

[0171] Calculate the difference between the capacitor voltage of the current iteration and the capacitor voltage of the previous iteration;

[0172] When the absolute value of the difference is less than a set threshold, the simulation model of the nonlinear capacitor outputs a simulation current of the nonlinear capacitor at the simulation time.

[0173] Embodiment 5:

[0174] Based on the same inventive concept, the present invention also provides a computer device, such as Fig.11As shown, the computer device includes a processor and a memory, the memory is used to store a computer program, the computer program includes program instructions, and the processor is used to execute the program instructions stored in the computer storage medium. The processor may be a central processing unit (CPU), or other general-purpose processors, digital signal processors (DSP), application-specific integrated circuits, or other processors.

[0175] (Application Specific Integrated Circuit, ASIC), off-the-shelf programmable gate array (Field-Programmable Gate Array, FPGA) or other programmable logic devices, discrete gates or transistor logic devices, discrete hardware components, etc., which are the computing core and control core of the terminal, and are suitable for implementing one or more instructions, specifically suitable for loading and executing one or more instructions in a computer storage medium to implement corresponding method flows or corresponding functions, so as to implement a simulation model construction method of a nonlinear capacitor in the above-mentioned embodiment, or the steps of a simulation calculation method of a nonlinear capacitor.

[0176] Embodiment 6:

[0177] Based on the same inventive concept, the present invention also provides a storage medium, specifically a computer-readable storage medium (Memory), which is a memory device in a computer device for storing programs and data. It is understandable that the computer-readable storage medium here can include a built-in storage medium in a computer device, and of course can also include an extended storage medium supported by the computer device. The computer-readable storage medium provides a storage space, which stores the operating system of the terminal. In addition, one or more instructions suitable for being loaded and executed by a processor are also stored in the storage space, and these instructions can be one or more computer programs (including program codes). It should be noted that the computer-readable storage medium here can be a high-speed RAM memory, or a non-volatile memory (non-volatile memory), such as at least one disk memory. The processor can load and execute one or more instructions stored in the computer-readable storage medium to implement a simulation model construction method of a nonlinear capacitor in the above-mentioned embodiment, or a step of a simulation calculation method of a nonlinear capacitor.

[0178] Those skilled in the art will appreciate that embodiments of the present invention may be provided as methods, systems, or computer program products. Therefore, the present invention may take the form of a complete hardware embodiment, a complete software embodiment, or an embodiment combining software and hardware. Moreover, the present invention may take the form of a computer program product implemented on one or more computer-usable storage media (including but not limited to disk storage, CD-ROM, optical storage, etc.) containing computer-usable program code.

[0179] The present invention is described with reference to flowcharts and / or block diagrams of methods, devices (systems), and computer program products according to embodiments of the present invention. It should be understood that each process and / or block in the flowchart and / or block diagram, as well as the combination of processes and / or blocks in the flowchart and / or block diagram, can be implemented by computer program instructions. These computer program instructions can be provided to a processor of a general-purpose computer, a special-purpose computer, an embedded processor, or other programmable data processing device to produce a machine, so that the instructions executed by the processor of the computer or other programmable data processing device generate instructions for implementing the processes in the flowchart and / or block diagram. Figure 1 A process or multiple processes and / or boxes Figure 1 A device that provides the functions specified in a block or multiple blocks.

[0180] These computer program instructions may also be stored in a computer-readable memory capable of directing a computer or other programmable data processing device to operate in a specific manner, so that the instructions stored in the computer-readable memory produce an article of manufacture comprising an instruction device, which implements the process Figure 1 A process or multiple processes and / or boxes Figure 1 A function specified in one or more boxes.

[0181] These computer program instructions can also be loaded onto a computer or other programmable data processing device so that a series of operating steps are executed on the computer or other programmable device to produce a computer-implemented process, thereby providing instructions for implementing the process. Figure 1 A process or multiple processes and / or boxes Figure 1 The steps for the functions specified in one or more boxes.

[0182] The above are merely embodiments of the present invention and are not intended to limit the present invention. Any modifications, equivalent substitutions, improvements, etc. made within the spirit and principles of the present invention are included in the scope of the claims of the present invention to be approved.

Claims

1. A method for constructing a simulation model of a nonlinear capacitor, characterized in that: The method comprises: Obtaining the capacitance and capacitance voltage of the nonlinear capacitor in the power switch device to be tested at all times in a preset simulation time; Based on the capacitance and the capacitance voltage of the nonlinear capacitor, constructing an explicit nonlinear function of the capacitance charge and the capacitance voltage; Differentiate and numerically discretize the explicit nonlinear function of capacitor charge and capacitor voltage to obtain the functional relationship between the capacitor current and any moment in the preset simulation time; The functional relationship between the capacitor current and any moment in the preset simulation time is equivalently modeled in the form of a resistor in parallel with a current source, thereby obtaining a simulation model of the nonlinear capacitor.

2. The method according to claim 1, characterized in that The method of differentiating and numerically discretizing the explicit nonlinear function of the capacitor charge and the capacitor voltage to obtain the functional relationship between the capacitor current and any moment in the preset simulation time includes: Differentiate the explicit nonlinear function of capacitor charge and capacitor voltage to obtain the functional relationship between capacitor current and capacitor voltage; The functional relationship between the capacitor current and the capacitor voltage is numerically discretized using a preset discretization method to obtain the functional relationship between the capacitor current and any moment in the preset simulation time.

3. The method according to claim 2, characterized in that When the preset discrete method is the trapezoidal discrete method, the functional relationship between the capacitor current and any moment in the preset simulation time satisfies the following formula: Among them, t is any moment in the preset simulation time, i(t) is the capacitor current at moment t, dt is the simulation step, v(t) is the capacitor voltage at moment t, f[v(t)] is the charge at moment t, t-dt is the moment before moment t, v(t-dt) is the capacitor voltage at the moment before moment t, f[v(t-dt)] is the charge at the moment before moment t, and i(t-dt) is the capacitor current at the moment before moment t.

4. The method according to claim 1, characterized in that: The equivalent modeling of the functional relationship between the capacitor current and any moment in the preset simulation time by using the form of a resistor in parallel with a current source to obtain the simulation model of the nonlinear capacitor includes: The functional relationship between the capacitor current and any moment in the preset simulation time is equivalently modeled by using a resistor in parallel with the current source, so as to obtain the functional relationship between the current source and any moment in the preset simulation time; The functional relationship between the current source and any moment in the preset simulation time is used as a simulation model of the nonlinear capacitor in the power switch device.

5. The method according to claim 4, characterized in that The functional relationship between the current source and any moment in the preset simulation time satisfies the following formula: Among them, R is the resistance, G is the set value, I eq (t) is the current source solved at time t, t is any moment in the preset simulation time, dt is the simulation step, v(t) is the capacitor voltage at time t, f[v(t)] is the charge at time t, I hist (t) is the current source solved based on the moment before time t, t-dt is the moment before time t, i(t-dt) is the capacitor current at the moment before time t, v(t-dt) is the capacitor voltage at the moment before time t, and f[v(t-dt)] is the charge at the moment before time t.

6. The method according to any one of claims 1 to 5, characterized in that: The constructing of an explicit nonlinear function of capacitor charge and capacitor voltage based on the capacitance and capacitor voltage of the nonlinear capacitor includes: Based on the capacitance and the capacitance voltage of the nonlinear capacitor, constructing an explicit nonlinear function of the capacitance and the capacitance voltage; The explicit nonlinear function of the capacitor charge and the capacitor voltage is integrated to obtain the explicit nonlinear function of the capacitor charge and the capacitor voltage.

7. A simulation model construction system for nonlinear capacitors, characterized in that: The system comprises: A parameter acquisition unit, used to acquire the capacitance and capacitance voltage of the nonlinear capacitor in the power switch device to be tested at all times in a preset simulation time; A function construction unit, used for constructing an explicit nonlinear function of capacitor charge and capacitor voltage based on the capacitance and capacitor voltage of the nonlinear capacitor; A functional relationship determination unit is used to differentiate and numerically discretize the explicit nonlinear function of capacitor charge and capacitor voltage to obtain a functional relationship between the capacitor current and any moment in a preset simulation time; The simulation model building unit is used to equivalently model the functional relationship between the capacitor current and any moment in the preset simulation time in the form of a resistor parallel to a current source, so as to obtain the simulation model of the nonlinear capacitor.

8. The system according to claim 7, characterized in that The functional relationship determination unit is specifically used to: Differentiate the explicit nonlinear function of capacitor charge and capacitor voltage to obtain the functional relationship between capacitor current and capacitor voltage; The functional relationship between the capacitor current and the capacitor voltage is numerically discretized using a preset discretization method to obtain the functional relationship between the capacitor current and any moment in the preset simulation time.

9. The system according to claim 8, characterized in that When the preset discrete method is the trapezoidal discrete method, the functional relationship between the capacitor current and any moment in the preset simulation time satisfies the following formula: Among them, t is any moment in the preset simulation time, i(t) is the capacitor current at moment t, dt is the simulation step, v(t) is the capacitor voltage at moment t, f[v(t)] is the charge at moment t, t-dt is the moment before moment t, v(t-dt) is the capacitor voltage at the moment before moment t, f[v(t-dt)] is the charge at the moment before moment t, and i(t-dt) is the capacitor current at the moment before moment t.

10. The system according to claim 7, characterized in that The simulation model building unit is specifically used for: The functional relationship between the capacitor current and any moment in the preset simulation time is equivalently modeled by using a resistor in parallel with the current source, so as to obtain the functional relationship between the current source and any moment in the preset simulation time; The functional relationship between the current source and any moment in the preset simulation time is used as a simulation model of the nonlinear capacitor in the power switch device.

11. The system according to claim 10, characterized in that The functional relationship between the current source and any moment in the preset simulation time satisfies the following formula: Among them, R is the resistance, G is the set value, I eq (t) is the current source solved at time t, t is any moment in the preset simulation time, dt is the simulation step, v(t) is the capacitor voltage at time t, f[v(t)] is the charge at time t, I hist (t) is the current source solved based on the moment before time t, t-dt is the moment before time t, i(t-dt) is the capacitor current at the moment before time t, v(t-dt) is the capacitor voltage at the moment before time t, and f[v(t-dt)] is the charge at the moment before time t.

12. The system according to any one of claims 7 to 11, characterized in that: The function construction unit is specifically used for: Based on the capacitance and the capacitance voltage of the nonlinear capacitor, constructing an explicit nonlinear function of the capacitance and the capacitance voltage; The explicit nonlinear function of the capacitor charge and the capacitor voltage is integrated to obtain the explicit nonlinear function of the capacitor charge and the capacitor voltage.

13. A simulation calculation method for nonlinear capacitance, characterized in that: The method comprises: Constructing a simulation model of a nonlinear capacitor based on the simulation model construction method of any one of claims 1 to 6, and constructing a power switching device model including a nonlinear capacitor; Based on the power switch device model, construct a nonlinear equation of a circuit model including the power switch device; Based on the nonlinear equation of the circuit model, the initial capacitor voltage of the nonlinear capacitor and the simulation time, a simulation calculation is performed on the simulation model of the nonlinear capacitor to obtain a simulation current of the nonlinear capacitor at the simulation time.

14. The method according to claim 13, characterized in that The method of performing simulation calculation on the simulation model of the nonlinear capacitor based on the nonlinear equation of the circuit model, the initial capacitor voltage of the nonlinear capacitor and the simulation time to obtain the simulation current of the nonlinear capacitor at the simulation time includes: Iteratively solving the nonlinear equation of the circuit model based on the simulation time and the initial capacitor voltage of the nonlinear capacitor; The simulation model of the nonlinear capacitor is simulated and solved by iteratively solving the nonlinear equation of the circuit model, and the simulation current of the nonlinear capacitor at the simulation time is calculated.

15. The method according to claim 14, characterized in that The simulation model of the nonlinear capacitor includes a resistor, a current source solved according to the historical moment, and a current source solved according to the simulation moment; The method of iteratively solving the nonlinear equation of the circuit model to simulate and solve the simulation model of the nonlinear capacitor, and calculating the simulated current of the nonlinear capacitor at the simulation time, includes: When the nonlinear equation of the circuit model is iteratively processed, the resistor and the current source solved according to the historical moment are constant values, and the current source solved according to the simulation moment is simulated and solved by iteratively solving the nonlinear equation of the circuit model; Calculate the difference between the capacitor voltage of the current iteration and the capacitor voltage of the previous iteration; When the absolute value of the difference is less than a set threshold, the simulation model of the nonlinear capacitor outputs a simulation current of the nonlinear capacitor at the simulation time.

16. A simulation calculation system for nonlinear capacitance, characterized in that: The system comprises: A device model building unit, configured to build a simulation model of a nonlinear capacitor based on the simulation model building method of a nonlinear capacitor according to any one of claims 1 to 6, and to build a power switch device model including a nonlinear capacitor; An equation building unit, used to build a nonlinear equation of a circuit model including a power switching device based on the power switching device model; The simulation current determination unit is used to perform simulation calculation on the simulation model of the nonlinear capacitor based on the nonlinear equation of the circuit model, the initial capacitor voltage of the nonlinear capacitor and the simulation time to obtain the simulation current of the nonlinear capacitor at the simulation time.

17. The system according to claim 16, characterized in that The simulation current determination unit comprises: An equation solving module, used for iteratively solving the nonlinear equation of the circuit model based on the simulation time and the initial capacitor voltage of the nonlinear capacitor; The simulation current determination module is used to perform simulation solution on the simulation model of the nonlinear capacitor by iteratively solving the nonlinear equation of the circuit model, and calculate the simulation current of the nonlinear capacitor at the simulation time.

18. The system according to claim 17, characterized in that The simulation model of the nonlinear capacitor includes a resistor, a current source solved according to the historical moment, and a current source solved according to the simulation moment; The simulation current determination module is specifically used for: When the nonlinear equation of the circuit model is iteratively processed, the resistor and the current source solved according to the historical moment are constant values, and the current source solved according to the simulation moment is simulated and solved by iteratively solving the nonlinear equation of the circuit model; Calculate the difference between the capacitor voltage of the current iteration and the capacitor voltage of the previous iteration; When the absolute value of the difference is less than a set threshold, the simulation model of the nonlinear capacitor outputs a simulation current of the nonlinear capacitor at the simulation time.

19. A computer device, characterized in that: include: one or more processors; The processor is used to store one or more programs; When the one or more programs are executed by the one or more processors, the simulation model construction method of the nonlinear capacitor as described in any one of claims 1 to 6, or the simulation calculation method of the nonlinear capacitor as described in any one of claims 13 to 15 is implemented.

20. A computer-readable storage medium, characterized in that: A computer program is stored thereon, and when the computer program is executed, the simulation model construction method of the nonlinear capacitor according to any one of claims 1 to 6, or the simulation calculation method of the nonlinear capacitor according to any one of claims 13 to 15 is implemented.

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