JP6609990B2 - Simulation apparatus and simulation system - Google Patents

Description

  The present invention relates to a simulation apparatus and a simulation system.

  2. Description of the Related Art A so-called wind power generator that generates power by receiving wind power with a windmill is known. A method of simulating this generator with a simulation device is known. Furthermore, there is known a method in which an inverter is connected to the generator, and the inverter is simulated by a simulation device.

  In a simulation method of a permanent magnet type rotating electrical machine driven by a PWM inverter, in Patent Document 1, first, a fundamental wave model in a fundamental frequency band and a harmonic model in a frequency band of a carrier frequency of the PWM inverter and a multiple of the carrier frequency are obtained. Built. Next, a voltage input to the fundamental wave model is calculated, and further, a voltage input to the fundamental wave model is input to the harmonic model. There is disclosed a method for calculating a simulation current by combining components of a current frequency band calculated by a fundamental wave model and a harmonic model.

  Non-Patent Document 1 is a formulation method of a variable speed wind power generation system incorporated in a large-scale power system, and simulates windmill characteristics in a permanent magnet type variable speed wind power generation system model for power system analysis. A method for analyzing the response when the generator is operated at a constant output and the wind speed is changed stepwise is disclosed.

JP 2013-55792 A

Takahashi et al. “Building a variable-speed wind power generator model using a permanent magnet type synchronous machine”, 2003 IEEJ Power and Energy Division Conference, B-99 to B-104.

  However, Patent Document 1 and Non-Patent Document 1 do not consider a current output when starting a generator such as a so-called inrush current in wind power generation or the like, and a generator such as a permanent magnet synchronous generator. There is a risk that an inrush current or the like may be output when starting up the generator.

  One aspect of the present invention is made in view of such a problem, and an object of the present invention is to suppress a current output when a generator is started up in a generator simulation.

前記第１制御部は、前記発電機の回路方程式の初期値を下記（６）式とし、

上記（４）式及び上記（６）式における、
「Ｉ_ｒｄ」は、ｄ軸回路における電機子電流を示し、
「ω」は、回転速度を示し、
「ω_０」は、初期回転速度を示し、
「ｒ_ａ」は、抵抗値を示し、
「Ｖ_ｒｄ」は、ｄ軸回路における発電機の電圧を示し、
「φ_ｒｄ」は、ｄ軸回路における磁束を示し、
「Ｉ_ｒｑ」は、ｑ軸回路における電機子電流を示し、
「Ｖ_ｒｑ」は、ｑ軸回路における発電機の電圧を示し、
「φ_ｒｑ」は、ｑ軸回路における磁束を示し、
「Ｘ_ｄ」及び「Ｘ_ｑ」は、直軸同期リアクタンス及び横軸同期リアクタンスを示す。

In order to solve the above-described problems and achieve the object, an inverter connected to an electric power system in one embodiment of the present invention, and a generator connected to the inverter are circuit equations of the inverter and an equivalent circuit of the generator. A simulation device that performs a simulation by calculating the generator includes: a generator calculation unit that calculates a generated power generated by the generator; a current that is generated by the generated power and that is input to the inverter; the inverter; A switching unit that switches between connecting or disconnecting the power system and allowing the output current output from the inverter to flow through the power system, and the switching unit interrupts the inverter and the power system. The voltage of the armature current flowing through the generator is controlled based on the rotational speed and magnetic flux of the generator. Has a first control unit, and a calculator for calculating the circuit equation,
The circuit equation of the generator is the following equation (4):

The first control unit sets the initial value of the circuit equation of the generator to the following equation (6):

In the above formula (4) and the above formula (6),
“I _rd ” indicates an armature current in the d-axis circuit ,
“Ω” indicates the rotation speed,
“Ω ₀ ” indicates the initial rotation speed,
“R _a ” indicates a resistance value,
“V _rd ” indicates the voltage of the generator in the d-axis circuit ,
“Φ _rd ” indicates the magnetic flux in the d-axis circuit ,
“I _rq ” indicates an armature current in the q-axis circuit ,
“V _rq ” indicates the voltage of the generator in the q-axis circuit ,
“Φ _rq ” indicates the magnetic flux in the q-axis circuit ,
“X _d ” and “X _q ” indicate the direct-axis synchronous reactance and the horizontal-axis synchronous reactance.

  ADVANTAGE OF THE INVENTION According to this invention, in the simulation of a generator, the electric current output when starting a generator etc. can be suppressed.

1 is a system diagram showing an example of the overall configuration of a simulation system in one embodiment of the present invention. The schematic diagram which shows an example of the simulation by the simulation system in one Embodiment of this invention. The functional block diagram which shows an example of the function structure of the simulation apparatus and simulation system in one Embodiment of this invention. The circuit diagram which shows an example of the equivalent circuit of the generator calculated by the simulation system in one Embodiment of this invention. The control block diagram which shows an example of the simulation model calculated by the simulation system in one Embodiment of this invention. The control block diagram which shows an example of the control at the time of starting of the simulation model calculated by the simulation system in one Embodiment of this invention. The control block diagram which shows an example of control other than the time of starting of the simulation model calculated by the simulation system in one Embodiment of this invention. The flowchart which shows an example of the control by the simulation system in one Embodiment of this invention. The figure which shows an example of the control result of control by the simulation system in one Embodiment of this invention.

  Hereinafter, embodiments of the present invention will be described with reference to the drawings.

1. 1. System configuration and hardware configuration example of simulation system 2. Functional configuration example of simulation apparatus and simulation system Circuit equation example 4. Example of control Summary ≪ １． System configuration and hardware configuration example of simulation system >>
FIG. 1 is a system diagram showing an example of the overall configuration of a simulation system according to an embodiment of the present invention. Specifically, the simulation system 1 includes, for example, a simulation device 2.

  The simulation apparatus 2 includes a field-programmable gate array (FPGA), a digital signal processor (DSP), a dynamic reconfigurable processor (DRP), a hardware that is an ASIC (Application Specific Integrate). Part or all of the calculations performed by the simulation apparatus 2 may be realized by an information processing apparatus having a CPU (Central Processing Unit) that performs calculations based on a program. Moreover, the simulation system 1 may have a plurality of simulation apparatuses 2.

  The simulation device 2 is connected to a current source 3 such as a current amplifier (Amplifier), and when the simulation device 2 commands the current source 3, the current source 3 sends a current based on the command to the power system 4 (hereinafter referred to as the power system). May be simply referred to as “system”). On the other hand, the simulation system 1 measures a terminal voltage generated when a current is output from the current source 3 to the power system 4 with a detector or the like, and inputs a voltage value. The simulation system 1 may further include a measuring device such as a wattmeter, a circuit breaker, and the like.

  FIG. 2 is a schematic diagram showing an example of simulation by the simulation system in one embodiment of the present invention. The actual system shown in FIG. 2 is an example of the entire configuration that is simulated based on the simulation system 1. As shown in FIG. 2, the simulation system 1 simulates a real system using a so-called PMSG (Permanent Magnet Synchronous Generator) system.

For example, in a real system, when wind power is generated by wind power and the wind turbine 21 is installed and wind is blown onto the wind turbine 21, the wind turbine 21 rotates and mechanical torque _Tm is generated. The rotation speed of the rotation by the machine torque T _m is the rotational speed omega (rotational speed, angular velocity, may also be. In revolutions per angular frequency or unit time) to. In addition, the wind speed of the wind blowing in the wind turbine 21 is assumed to be a wind speed W _s.

  A permanent magnet synchronous generator 22 is connected to the windmill 21, and the permanent magnet synchronous generator 22 generates generated power Pg. Next, the generated power Pg is input to the inverter 23 as illustrated.

The magnetic contactor MC switches so as to connect or disconnect the inverter 23 and the power system 25 including a power transmission line and the like. That is, when the magnet contactor MC is turned on and the inverter 23 and the power system 25 are connected, the current generated by the permanent magnet synchronous generator 22 is generated by the electric power system 25 via the inverter 23. Flowing into. Hereinafter, the current generated by the generated power Pg and the magnet contactor MC is turned on and the current input from the permanent magnet synchronous generator 22 to the inverter is referred to as a first current i ₁ . The first current i ₁ is assumed to be a first current value i ₁ (i _ra , i _rb , i _rc ).

Further, when the magnet contactor MC is turned on, an output current i _out is output from the inverter 23. The output current i _out is assumed to be an output current value (i _ga , i _gb , i _gc ). The output current i _out may be filtered by an AC (Alternating Current, AC) filter.

Inverter 23 includes a rotor-side converter 231, a power system-side converter 232, and an intermediate circuit 233. Rotor side converter 231, for example, calculates a second current value _{I r} by converting the first current _{i 1} input to the inverter 23. Further, as shown in the figure, a power system side converter 232 different from the rotor side converter 231 is included. Further, the intermediate circuit 233 adjusts the DC intermediate voltage E _dc based on the voltage calculated by the rotor side converter 231 or the power system side converter 232.

The inverter 23 adjusts the input first current i ₁ by the rotor side converter 231, the power system side converter 232, the intermediate circuit 233, and the like, and outputs the output current i _out .

  On the other hand, the simulation system 1 simulates the permanent magnet synchronous generator 22 and the inverter 23 in the actual system. Hereinafter, the configuration having the simulation system 1 is referred to as a simulation system. The simulation system is used for simulating an actual system and performing tests or adjustments. The power system 4 is a device that replaces the actual power system 25, and is an analog electric circuit or the like modeled on the power system 25. For example, in the real system, the transmitted power is a high voltage of several kV (volt), whereas in the simulation system, the power is simulated with a voltage of about 50V.

  Further, the rotor-side converter 231 controls the voltage of a current (hereinafter referred to as an armature current) flowing through the permanent magnet synchronous generator 22.

≪ 2. Functional configuration example of simulation apparatus and simulation system >>
FIG. 3 is a functional block diagram illustrating an example of a functional configuration of the simulation apparatus and the simulation system according to the embodiment of the present invention. The simulation system 1 includes a calculation unit 100 and a generator calculation unit 110. Each part is implement | achieved by the electronic circuit by the simulation apparatuses 2, such as FPGA, for example. Each unit may be realized by a different simulation device 2. For example, the calculation unit 100 may be realized by an FPGA, and the generator calculation unit 110 may be realized by a DSP.

  The generator calculation unit 110 performs calculations for simulating the windmill 21 and the permanent magnet synchronous generator 22 shown in FIG.

  The calculation unit 100 performs a calculation for simulating the inverter 23 and the like shown in FIG. In addition, in order to perform the calculation which simulates the inverter 23 grade | etc., The calculating part 100 has the filter part 101, the switch part 102, the 1st control part 103, the 2nd control part 104, and the intermediate circuit part 105, for example.

In addition, the calculation unit 100 switches whether the output current i _out calculated by the calculation unit 100 flows through the power system 4 by the switching unit 102. The output current i _out corresponds to the current output from the inverter 23 in the actual system shown in FIG.

Further, the calculation unit 100 AC filters the current output from the inverter 23 by the filter unit 101 to obtain an output current i _out . For example, the calculation unit 100 uses the filter unit 101 to calculate a current based on the voltage of the power system, or to simulate the circuit characteristics of the AC filter.

In addition, the calculation unit 100 calculates a circuit equation and issues a command to the current source 3 so that a current flows through the power system 4. This command is based on output current values (i _ga , i _gb , i _gc ) calculated from circuit equations. Further, the arithmetic unit 100 measures a terminal voltage when a current flows through the power system 4.

≪ 3. Circuit equation example >>
FIG. 4 is a circuit diagram illustrating an example of an equivalent circuit of a generator that is calculated by the simulation system according to the embodiment of the present invention. The simulation system 1 calculates the circuit equation of the equivalent circuit shown in FIG.

  The circuit equation of the equivalent circuit shown in FIG. 4 can be expressed as the following equation (1).

  When the above equation (1) is modified as a unit system, it can be expressed as the following equation (2).

  In the above equation (2), when the following equation (3) is used, the circuit equation becomes a so-called effective value model in which the flux and current passing characteristics of the permanent magnet synchronous generator are ignored.

  On the other hand, the above equation (2) is expressed by the following equation (4) when expressed by a first-order matrix differential equation, so-called state variable method.

  When the circuit equation is a first-order matrix differential equation as in the above equation (4), the simulation system 1 can accurately calculate the circuit equation as compared with the case where the circuit equation is calculated by a transfer function or a nodal analysis method. It can be calculated.

  In the nodal analysis method, the calculation of the circuit equation needs to be performed in accordance with each state depending on the state of the magnet contactor MC (see FIG. 2). Since this calculation includes division, when it is attempted to realize the calculation using an FPGA or the like, there are many cases where calculation costs such as an increase in the circuit scale for calculation increase. On the other hand, when the circuit equation is a first-order matrix differential equation as in the above equation (4), division can be reduced and calculation cost can be reduced.

  Moreover, in said (4) Formula, it is set as conditions like the following (5) Formula.

  When the circuit equation is calculated by the above equation (4), in the simulation, the simulation system 1 can calculate the circuit equation by a so-called instantaneous value model that can take into account temporal changes in magnetic flux and current.

Further, when the voltage at which the armature current becomes zero is obtained, it can be expressed as the following equation (6) from the simultaneous equations of I _rd = 0, I _rq = 0 and the above equation (2).

  Assuming that the voltage value shown in the above equation (6) is the initial value in the above equation (4), the current output when starting the generator, such as an inrush current, and the electric torque that is the source of the output current Can be reduced.

<< 4. Control example >>
FIG. 5 is a control block diagram illustrating an example of a simulation model calculated by the simulation system according to the embodiment of the present invention. For example, assume that the simulation model shown in FIG. 5 is simulated by the simulation system.

In the real system shown in FIG. 2, when the permanent magnet synchronous generator 22 (see FIG. 2) generates generated power by the mechanical torque T _m generated by wind power, the simulation system calculates the mechanical torque T _m from the wind speed W _s , Calculate generated power.

If the wind speed _{W s} is less than a predetermined wind velocity, magnetic contactor MC (see FIG. 2) is off (off), the permanent magnet synchronous generator 22 and the inverter 23 (see FIG. 2), the power system 25 (FIG. 2) and a disconnected state, so-called disconnected state. In order to simulate the state of this disconnection, the simulation system simulates the magnet contactor MC by the switching unit 102 (see FIG. 3).

On the other hand, blows a predetermined wind speed or wind, the actual system shown in FIG. 2, it begins to conduct current due to the generated power generated based on the wind speed W _s to an electric power system 25, a so-called cut-in (cut in) occurs . For example, when the wind speed is 3 to 4 m / s (meters per second) or more, cut-in occurs. The wind speed at which cut-in occurs (cut-in wind speed) varies depending on the types of the windmill 21 (see FIG. 2) and the permanent magnet synchronous generator 22, and is set in advance depending on the type. That is, when the cut-in wind speed is reached, the simulation system starts up a simulation model of the permanent magnet synchronous generator 22.

  FIG. 6 is a control block diagram illustrating an example of control at the time of starting a simulation model calculated by the simulation system according to the embodiment of the present invention. For example, the simulation system performs control as shown in FIG.

  FIG. 7 is a control block diagram illustrating an example of control other than the time of starting the simulation model calculated by the simulation system according to the embodiment of the present invention. For example, the simulation system performs control as shown in FIG. 7 (hereinafter, referred to as a normal control mode) except when starting up.

  FIG. 8 is a flowchart showing an example of control by the simulation system in one embodiment of the present invention. The flowchart shown in FIG. 8 shows an example of the control procedure shown in FIGS.

<< Example of synchronous control in system side converter control (step S01) >>
In step S01, the simulation system performs synchronous control in the system side converter control by the second control unit 104 (see FIG. 3). Specifically, the simulation system includes the amplitude V _g of the power system voltage (v _ga, v _gb, v _gc ), and the voltage amplitude E of the location corresponding to the front part of the magnet contactor MC in the real system shown in FIG. _The voltage (e _ga ^* , e _gb ^* , e _gc ^* ) that can be synchronized is calculated by PI control using the difference from _g . That is, the simulation system adjusts the voltage so that the voltages (eg, e _ga ^* , e _gb ^* , e _gc ^* ) can be synchronized.

≪ Example of control to make armature current zero in rotor side converter control (step S02) ≫
In step S02, the simulation system performs control to make the armature current zero in the rotor side converter control by the first control unit 103 (see FIG. 3). Specifically, the simulation system uses V _rd = 0 and V _rq = ω ^* × φ _rd shown in the above equation (6) as command values for controlling the voltage of the permanent magnet synchronous generator 22, that is, permanent magnet synchronization. A value obtained by multiplying the rotational speed of the generator 22 by the internal magnetic flux is used as the voltage of the permanent magnet synchronous generator 22. By this control, the simulation system can make the armature current zero.

≪Example of turning on the magnetic contactor (step S03) ≫
In step S03, the simulation system turns on the magnet contactor MC by the switching unit 102 (see FIG. 3). That is, in the real system shown in FIG. 2, when the magnet contactor MC is turned on, the inverter 23 and the power system 25 are connected.

  Further, when the magnet contactor MC is turned on, the simulation system shifts to the normal control mode. That is, the state where the inverter 23 and the power system 25 are cut off by the magnet contactor MC is a state before step S03. Therefore, for example, the initial value is calculated and set in a state before step S03.

<< Example of control for making active power and reactive power constant in rotor-side converter control (step S04) >>
In step S04, when the magnet contactor MC is turned on, the simulation system performs control for making the active power and the reactive power constant by the first control unit 103. Specifically, the simulation system performs control of voltage value is input and the active power P _r which is obtained from each of the armature current, active power and reactive power and control the amount of reactive power Q _r constant.

The effective power _{P r} of the set value _P ^{r *,} invalid power _{Q r} setting _Q ^{r *,} the amount of calculation was PI control difference and the control input of the active power _{P r} and the reactive power _{Q r,} The current of the permanent magnet synchronous generator 22, that is, the set value I _rd ^* and the set value I _rq ^{* of} the armature current I _rd and the armature current I _rq , respectively.

Further, the amount of calculation of PI control using the difference between the armature current I _rd and the set value I _rd ^{* and} the difference between the armature current I _rq and the set value I _rq ^* as control inputs is (V _rd , V _rq ). It becomes. Further, (V _rd , V _rq ) is a voltage command value for the permanent magnet synchronous generator 22.

<< Example of control for making DC intermediate voltage and reactive power constant in system side converter control (step S05) >>
In step S05, when the magnet contactor MC is turned on, the simulation system causes the second control unit 104 to calculate the DC intermediate voltage E _dc calculated in the intermediate circuit such as the DC intermediate circuit, and the reactive power Q output to the power system. and _s control amount and the DC intermediate voltage and reactive power control is performed to a constant. Specifically, the DC intermediate voltage _{E dc,} the DC intermediate voltage respective currents _{I gd} and the current _{I gq} the AC filter circuit operation of PI control with a control input of the difference between _{E dc} set value _{E dc} ^* Set value I _gd ^* and set value I _gq ^* . Next, the amount of calculation of PI control using the difference between the set value I _gd ^* and the set value I _gq ^* as a control input is (e _ga ^* , e _gb ^* , e _gc ^* ). Further, ( _ega ^* , _egb ^* , _egc ^* ) is a voltage command value for the AC filter circuit.

  In addition, the order of each procedure in control is not restricted to the order shown in FIG. For example, in step S01 and step S02, the respective controls may be executed in parallel or in the reverse order of the order shown. Similarly, in step S04 and step S05, each control may be performed in parallel or in the reverse order shown in the figure. Further, the control related to the normal control mode may be performed differently from the illustrated control.

<< 5. Summary >>
FIG. 9 is a diagram illustrating an example of a control result of control by the simulation system in one embodiment of the present invention. FIG. 9 shows the output current values (i _ga , i _gb , i _gc ) of the output current i _out flowing in the actual system shown in FIG. 2 as a result of the control shown in FIGS. 6 and 8. FIG. 9 is an example of control results showing the voltage command values (e _ra , e _rb , e _rc ), DC intermediate voltage E _dc , active power P _r, and reactive power Q _r on the same time axis.

  If there is a voltage difference or a phase shift in frequency between the permanent magnet synchronous generator etc. that is the power sending side and the power system that is the receiving side, it is disconnected by starting up the permanent magnet synchronous generator, etc. When a permanent magnet synchronous generator or the like is connected to an electric power system, a large current, so-called inrush current IC, often flows to eliminate a difference due to a voltage difference or a frequency phase shift. The inrush current IC is often a large current such as 8.0 times the rating, for example. Therefore, when the inrush current IC flows, the circuit breaker or the like operates by detecting that a large current flows. The whole real system may stop.

  Therefore, the simulation system controls the voltage of the armature current when the inverter and the power system are shut off due to the magnet contactor being off. Specifically, the circuit equation is controlled so that the equation (6) is input as the initial value of the equation (4).

  When the cut-in wind speed is reached, the simulation system turns on the magnet contactor and connects the disconnected permanent magnet synchronous generator and the like to the power system. In order to connect the power system and the permanent magnet synchronous generator in the state where the above equation (6) is input, the voltage, frequency and phase of the generated power generated by the permanent magnet synchronous generator are the voltage and frequency of the power system. And can be easily synchronized with the phase. Therefore, the simulation system controls the input of the above equation (6) as the initial value of the circuit equation of the above equation (4), so that in the simulation of the generator, the inrush current IC shown in the figure or the like The current output when starting up the generator can be suppressed. FIG. 9 is an example when the inrush current IC is suppressed to about 0.2 times the rating.

  Note that all or part of each operation according to an embodiment of the present invention may be a low-level language such as a machine language or an assembler, a high-level language such as a C language, Java (registered trademark), or an object-oriented programming language. It may be realized by a program for causing a computer described in combination to be executed. That is, the program is a computer program for causing a computer such as an information processing apparatus to execute all or part of each calculation.

  The program can be stored and distributed in a computer-readable recording medium such as ROM or EEPROM (Electrically Erasable Programmable ROM). Further, the recording medium is EPROM (Erasable Programmable ROM), flash memory, flexible disk, CD-ROM, CD-RW, DVD-ROM, DVD-RAM, DVD-RW, Blu-ray disc, SD (registered trademark) card or MO. Etc. Furthermore, the program can be distributed through a telecommunication line.

  Furthermore, all or part of each calculation according to an embodiment of the present invention may be realized by a simulation system having a plurality of simulation apparatuses.

  The preferred embodiments of the present invention have been described in detail above, but the present invention is not limited to the above-described embodiments, and various modifications or changes can be made within the scope of the gist of the present invention described in the claims. Is possible.

DESCRIPTION OF SYMBOLS 1 Simulation system 2 Simulation apparatus 3 Current source 4, 25 Electric power system _Tm Machine torque MC Magnet contactor

Claims (10)

A simulation device for simulating an inverter connected to a power system and a generator connected to the inverter by calculating a circuit equation of an equivalent circuit of the inverter and the generator,
A generator calculation unit that calculates the generated power generated by the generator and the current generated by the generated power and input to the inverter;
A switching unit that connects or disconnects the inverter and the power system, and switches whether or not the output current output from the inverter flows through the power system;
A first control unit configured to control a voltage of an armature current flowing through the generator based on a rotation speed and a magnetic flux of the generator when the inverter and the power system are interrupted by the switching unit; And an arithmetic unit for calculating the circuit equation,
The circuit equation of the generator is the following equation (4):

The first control unit sets the initial value of the circuit equation of the generator to the following equation (6):

In the above formula (4) and the above formula (6),
“I _rd ” indicates an armature current in the d-axis circuit ,
“Ω” indicates the rotational speed,
“Ω ₀ ” indicates the initial rotation speed,
“R _a ” indicates a resistance value,
“V _rd ” indicates the voltage of the generator in the d-axis circuit ,
“Φ _rd ” indicates the magnetic flux in the d-axis circuit ,
“I _rq ” indicates an armature current in the q-axis circuit ,
“V _rq ” indicates the voltage of the generator in the q-axis circuit ,
“Φ _rq ” indicates the magnetic flux in the q-axis circuit ,
“X _d ” and “X _q ” are simulation apparatuses that indicate a direct-axis synchronous reactance and a horizontal-axis synchronous reactance.   The simulation apparatus according to claim 1, wherein the generator is a permanent magnet synchronous generator.   The simulation apparatus according to claim 1, wherein the simulation apparatus is connected to the power system via a current source that supplies an alternating current to the power system based on the output current. The computing unit is
The inverter has the first control unit on the generator side,
The simulation apparatus according to claim 3, further comprising a second control unit that adjusts a voltage on the power system side in the inverter.   The simulation apparatus according to claim 1, wherein the generator generates the generated power from mechanical torque generated by wind power.   The simulation apparatus according to claim 5, wherein the generator is started up when a wind of a predetermined wind speed or higher blows.   The simulation apparatus according to claim 6, wherein when the wind of the predetermined wind speed or higher blows, the switching unit connects the inverter and the power system.   The simulation apparatus according to any one of claims 1 to 7, wherein the circuit equation of the generator is an equation represented by a first-order matrix differential equation.   The simulation apparatus according to claim 1, further comprising a filter unit that filters the output current. A simulation system having a plurality of simulation devices for simulating an inverter connected to an electric power system, and calculating a circuit equation of an equivalent circuit of the inverter and the generator for a generator connected to the inverter,
A generator calculation unit that calculates the generated power generated by the generator and the current generated by the generated power and input to the inverter;
A switching unit that connects or disconnects the inverter and the power system, and switches whether or not the output current output from the inverter flows through the power system;
A first control unit configured to control a voltage of an armature current flowing through the generator based on a rotation speed and a magnetic flux of the generator when the inverter and the power system are interrupted by the switching unit; And an arithmetic unit for calculating the circuit equation,
The circuit equation of the generator is the following equation (4):

The first control unit sets the initial value of the circuit equation of the generator to the following equation (6):

In the above formula (4) and the above formula (6),
“I _rd ” indicates an armature current in the d-axis circuit ,
“Ω” indicates the rotational speed,
“Ω ₀ ” indicates the initial rotation speed,
“R _a ” indicates a resistance value,
“V _rd ” indicates the voltage of the generator in the d-axis circuit ,
“Φ _rd ” indicates the magnetic flux in the d-axis circuit ,
“I _rq ” indicates an armature current in the q-axis circuit ,
“V _rq ” indicates the voltage of the generator in the q-axis circuit ,
“Φ _rq ” indicates the magnetic flux in the q-axis circuit ,
“X _d ” and “X _q ” are simulation systems indicating a straight axis synchronous reactance and a horizontal axis synchronous reactance.

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