Dynamic simulation system of parallel arc extinguisher

Abstract

The invention discloses a dynamic simulation system of a parallel arc extinguisher, which belongs to the field of pulse power technology and application, and comprises a motion parameter calculation unit used for calculating the acceleration and displacement of an armature; a main loop current sampling unit; the main loop equivalent unit is used for calculating an equivalent potential changing along with main loop current and armature displacement in the main loop; the arc extinction loop mutual inductance equivalent unit is used for calculating an equivalent potential changing along with the arc extinction loop current and the armature displacement in the main loop; the armature equivalent unit is used for simulating the electrical performance of a branch where the armature is located before and after the armature goes out of the chamber; an arc extinction loop current sampling unit; the arc-extinguishing loop equivalent unit is used for calculating an equivalent potential changing along with the arc-extinguishing loop current and armature displacement in the arc-extinguishing loop; and the main loop mutual inductance equivalent unit is used for calculating an equivalent potential changing along with main loop current and armature displacement in the arc extinction loop. According to the invention, the whole process of actual operation of the system can be simulated, and the effectiveness of the parallel arc extinguisher under different conditions can be accurately predicted.

Description

Technical Field

[0001] The invention belongs to the field of pulse power technology and application, and in particular relates to a dynamic simulation system of a parallel arc extinguisher. Background Art

[0002] The special linear motor is a new type of launch device that uses electromagnetic force to accelerate the launch load to ultra-high speed. It has the advantages of high initial velocity, long range, and adjustable speed. Based on the operating characteristics of the special linear motor, when the launch load is ejected from the barrel, if no arc extinguishing / arcing measures are taken, the residual magnetic energy in the guide rail will be released in the form of muzzle arc. The muzzle arc will not only cause severe ablation of the guide rail and insulating materials in the muzzle area, but also the rapid expansion of the arc in a short period of time will cause the blowback of extremely high temperature plasma, which will weaken the operating reliability of the special linear motor and shorten its service life.

[0003] The parallel arc extinguisher can effectively suppress the muzzle arc, especially when the application object is an enhanced special linear motor. The selection of appropriate electrical parameters can completely eliminate the armature discharge current. In order to realize the application of the parallel arc extinguisher in the enhanced special linear motor, it is very important to establish a corresponding dynamic simulation model. In addition to the armature internal ballistic process coupled with mechanical, electrical and magnetic multi-physics fields, the dynamic simulation model also needs to include the commutation process of the residual current passing through the parallel arc extinguisher after the armature is discharged from the bore. After the parallel arc extinguisher is introduced, when the armature moves in the bore, the additional magnetic field generated by the auxiliary rail of the enhanced special linear motor causes an induced current in the arc extinguishing circuit, resulting in changes in the current distribution, magnetic field distribution, and electromagnetic force on the armature; when the armature is discharged from the bore, the armature-rail current drops rapidly, and the residual energy in the guide rail is released through the guide rail and the parallel arc extinguisher. At present, arc extinguishing technology for special linear motors is still in its infancy. The existing dynamic simulation method and system of parallel arc extinguishers cannot accurately simulate the entire process of system operation, and cannot predict the effect of parallel arc extinguishers in suppressing arcs under different conditions, as well as the pros and cons of the overall performance of the system under such conditions. Summary of the invention

[0004] In view of this, the present invention provides a dynamic simulation system of a parallel arc extinguisher, comprising: a motion parameter calculation unit, a main circuit current sampling unit, a main circuit equivalent unit, an arc extinguishing circuit mutual inductance equivalent unit, an armature equivalent unit, an arc extinguishing circuit current sampling unit, an arc extinguishing circuit equivalent unit, and a main circuit mutual inductance equivalent unit; wherein,

[0005] The motion parameter calculation unit is used to calculate and output the acceleration and displacement of the armature when it moves in the bore according to the main circuit current output by the main circuit current sampling unit and the arc extinguishing circuit current output by the arc extinguishing circuit current sampling unit; wherein the acceleration is calculated by the main circuit self-inductance gradient, the arc extinguishing circuit self-inductance gradient, the mutual inductance gradient between the main circuit and the arc extinguishing circuit, and the armature mass;

[0006] The main circuit current sampling unit is used to sample the main circuit current, wherein the main circuit refers to a series circuit consisting of a main circuit current sampling unit, a main circuit equivalent unit, an arc extinguishing circuit mutual inductance equivalent unit, and an armature equivalent unit;

[0007] The main circuit equivalent unit is used to calculate and output the equivalent potential in the main circuit that changes with the main circuit current and the armature displacement according to the main circuit current output by the main circuit current sampling unit and the displacement output by the motion parameter calculation unit;

[0008] The arc extinguishing circuit mutual inductance equivalent unit is used to calculate and output the equivalent potential in the main circuit that changes with the arc extinguishing circuit current and the armature displacement according to the arc extinguishing circuit current output by the arc extinguishing circuit current sampling unit and the displacement output by the motion parameter calculation unit;

[0009] Before the armature is ejected from the barrel, the armature equivalent unit is used to calculate the acceleration output by the unit according to the motion parameters, calculate and output the equivalent potential that changes with the armature motion. After the armature is ejected from the barrel, an open circuit is formed between the armature equivalent unit and the main circuit, and no electrical connection is formed.

[0010] The arc extinguishing circuit current sampling unit is used to sample the arc extinguishing circuit current, wherein the arc extinguishing circuit refers to a series circuit composed of the arc extinguishing circuit current sampling unit, the arc extinguishing circuit equivalent unit, and the main circuit mutual inductance equivalent unit;

[0011] The arc extinguishing circuit equivalent unit is used to calculate and output the equivalent potential in the arc extinguishing circuit that changes with the arc extinguishing circuit current and the armature displacement according to the arc extinguishing circuit current output by the arc extinguishing circuit current sampling unit and the displacement output by the motion parameter calculation unit;

[0012] The main circuit mutual inductance equivalent unit is used to calculate and output the equivalent potential in the arc extinguishing circuit that changes with the main circuit current and the armature displacement according to the main circuit current output by the main circuit current sampling unit and the displacement output by the motion parameter calculation unit.

[0013] The present invention has the following beneficial effects:

[0014] The present invention provides a dynamic simulation system for a parallel arc suppressor, which includes the internal ballistic process of mechanical, electrical and magnetic multi-physical field coupling before the armature is ejected, and the commutation process of the residual current through the parallel arc suppressor after the armature is ejected. By simulating the entire process of the actual operation of the system, the effectiveness of the parallel arc suppressor under different conditions and the overall performance of the system can be accurately predicted, laying the foundation for the optimal design of the parallel arc suppressor, and further playing a key role in improving the arc extinguishing capability and achieving the best matching of electrical parameters.

[0015] The present invention is provided with a main circuit equivalent unit, an arc extinguishing circuit mutual inductance equivalent unit, an arc extinguishing circuit equivalent unit, and a main circuit mutual inductance equivalent unit, so as to decouple the mutual action between the main circuit and the arc extinguishing circuit caused by the armature movement, so that the dynamic simulation system can reflect the change trend of each equivalent component in the whole launching process, which is beneficial to the optimization design of the parallel arc extinguisher; the present invention is provided with an armature equivalent unit, which can simulate the change process of the current before and after the armature is discharged from the barrel, so that the dynamic simulation system can simulate the whole discharge process of the special linear motor system; the present invention is provided with a motion parameter calculation unit, which can reflect the electromagnetic force exerted on the armature under the joint action of the main circuit and the arc extinguishing circuit, so that the electromagnetic field characteristics and the dynamic characteristics in the system are correlated with each other, which is closer to the actual operating conditions. BRIEF DESCRIPTION OF THE DRAWINGS

[0016] The features and advantages of the present invention will be more clearly understood by referring to the accompanying drawings, which are schematic and should not be construed as limiting the present invention in any way. In the accompanying drawings:

[0017] Figure 1 A schematic diagram of the overall structure of a dynamic simulation system for a parallel arc extinguisher provided in an embodiment of the present invention;

[0018] Figure 2 A schematic diagram of the structure of a motion parameter calculation unit provided by an embodiment of the present invention;

[0019] Figure 3 A schematic diagram of the structure of a main circuit equivalent unit provided by an embodiment of the present invention;

[0020] Figure 4 A schematic diagram of the structure of an arc extinguishing circuit mutual inductance equivalent unit provided by an embodiment of the present invention;

[0021] Figure 5 A schematic structural diagram of an armature equivalent unit provided by an embodiment of the present invention;

[0022] Figure 6 A schematic structural diagram of an arc extinguishing circuit equivalent unit provided by an embodiment of the present invention;

[0023] Figure 7 A schematic diagram of the structure of a main loop mutual inductance equivalent unit provided in an embodiment of the present invention. DETAILED DESCRIPTION

[0024] In order to make the purpose, technical scheme and advantages of the present invention more clearly understood, the present invention is further described in detail below in conjunction with the accompanying drawings and embodiments. It should be understood that the specific embodiments described herein are only used to explain the present invention and are not intended to limit the present invention. In addition, the technical features involved in each embodiment of the present invention described below can be combined with each other as long as they do not conflict with each other. To achieve the above-mentioned purpose, the present invention adopts the following technical scheme.

[0025] See also Figure 1 The embodiment of the present invention provides a dynamic simulation system of a parallel arc extinguisher, including: a motion parameter calculation unit, a main circuit current sampling unit, a main circuit equivalent unit, an arc extinguishing circuit mutual inductance equivalent unit, an armature equivalent unit, an arc extinguishing circuit current sampling unit, an arc extinguishing circuit equivalent unit, and a main circuit mutual inductance equivalent unit; wherein,

[0026] A motion parameter calculation unit is used to calculate and output the acceleration and displacement of the armature when it moves in the bore according to the main circuit current output by the main circuit current sampling unit and the arc extinguishing circuit current output by the arc extinguishing circuit current sampling unit; wherein the acceleration is calculated by the main circuit self-inductance gradient, the arc extinguishing circuit self-inductance gradient, the mutual inductance gradient between the main circuit and the arc extinguishing circuit, and the armature mass, and the displacement is calculated by the acceleration, the integrator, the selection switch, and the delay unit;

[0027] A main circuit current sampling unit is used to sample the main circuit current, wherein the main circuit refers to a series circuit consisting of a main circuit current sampling unit, a main circuit equivalent unit, an arc extinguishing circuit mutual inductance equivalent unit, and an armature equivalent unit;

[0028] A main circuit equivalent unit is used to calculate and output an equivalent potential in the main circuit that changes with the main circuit current and the armature displacement according to the main circuit current output by the main circuit current sampling unit and the displacement output by the motion parameter calculation unit;

[0029] The arc extinguishing circuit mutual inductance equivalent unit is used to calculate and output the equivalent potential in the main circuit that changes with the arc extinguishing circuit current and the armature displacement according to the arc extinguishing circuit current output by the arc extinguishing circuit current sampling unit and the displacement output by the motion parameter calculation unit;

[0030] The armature equivalent unit is used to simulate the electrical performance of the armature branch before and after the armature is ejected from the barrel. Before the armature is ejected from the barrel, it is used to calculate the acceleration output by the unit according to the motion parameters, calculate and output the equivalent potential that changes with the armature motion. After the armature is ejected from the barrel, an open circuit is formed between the armature equivalent unit and the main circuit, and no electrical connection is formed.

[0031] The arc-extinguishing circuit current sampling unit is used to sample the arc-extinguishing circuit current, wherein the arc-extinguishing circuit refers to a series circuit composed of the arc-extinguishing circuit current sampling unit, the arc-extinguishing circuit equivalent unit, and the main circuit mutual inductance equivalent unit;

[0032] The arc extinguishing circuit equivalent unit is used to calculate and output the equivalent potential in the arc extinguishing circuit that changes with the arc extinguishing circuit current and the armature displacement according to the arc extinguishing circuit current output by the arc extinguishing circuit current sampling unit and the displacement output by the motion parameter calculation unit;

[0033] The main circuit mutual inductance equivalent unit is used to calculate and output the equivalent potential in the arc extinguishing circuit that changes with the main circuit current and the armature displacement according to the main circuit current output by the main circuit current sampling unit and the displacement output by the motion parameter calculation unit.

[0034] Figure 2 A specific implementation of the motion parameter calculation unit is shown. Figure 2 As shown, the acceleration and displacement of the armature when it moves in the bore are calculated and output through a multiplier, a gain unit, an adder, an integrator, a selection switch and a delay unit. The motion parameter calculation unit calculates the armature acceleration through a multiplier, a gain unit and an adder according to the main circuit current output by the main circuit current sampling unit and the arc extinguishing circuit current output by the arc extinguishing circuit current sampling unit. The acceleration of the armature is calculated by the following formula:

[0035] ,

[0036] Where a is the acceleration of the armature, m is the mass of the armature, is the main circuit current, is the arc extinguishing circuit current, is the self-inductance gradient of the main loop, is the self-inductance gradient of the arc extinguishing circuit, Mutual inductance gradient between the main circuit and the arc extinguishing circuit;

[0037] The armature displacement calculation is realized through the integrator, the selection switch and the delay unit. The armature displacement is calculated by the following formula:

[0038] ,

[0039] Among them, x is the displacement of the armature, t is the time, and l is the maximum acceleration distance of the armature in the bore.

[0040] Figure 3 A specific implementation of the main circuit equivalent unit is shown. Figure 3As shown, the main circuit equivalent unit realizes the operation of the equivalent potential in the main circuit that changes with the main circuit current and the armature displacement through the gain unit, the adder, the multiplier and the differential unit according to the main circuit current output by the main circuit current sampling unit and the displacement output by the motion parameter calculation unit. The result of the real-time operation is used as the input of the controlled voltage source of the main circuit equivalent unit, and the equivalent potential calculated in real time is connected to the main circuit in the form of a voltage source; the differential unit is composed of a capacitor with a capacitance value of 1F, a resistor with a resistance value of 1μΩ, a current sampling unit and a controlled voltage source of the differential unit in series, and the current sampling unit outputs a differential signal of the control signal input to the controlled voltage source of the differential unit, which can realize differential operation when the electrical signal suddenly changes.

[0041] The equivalent potential in the main circuit that changes with the main circuit current and armature displacement is calculated by the following formula:

[0042] ,

[0043] in, The equivalent potential in the main circuit changes with the main circuit current and armature displacement. is the initial resistance corresponding to the armature at the initial position of motion, is the resistance gradient, It is the initial self-inductance of the main circuit corresponding to the armature at the initial position of motion.

[0044] Figure 4 A specific implementation of the arc extinguishing circuit mutual inductance equivalent unit is shown. Figure 4 As shown, the arc extinguishing circuit mutual inductance equivalent unit realizes the calculation of the equivalent potential in the main circuit that changes with the arc extinguishing circuit current and the armature displacement through a gain unit, an adder, a multiplier, a differential unit and a selection switch based on the arc extinguishing circuit current output by the arc extinguishing circuit current sampling unit and the displacement output by the motion parameter calculation unit. The result of the real-time calculation is used as the input of the controlled voltage source of the arc extinguishing circuit mutual inductance equivalent unit, and the equivalent potential calculated in real time is connected to the main circuit in the form of a voltage source.

[0045] The equivalent potential in the main circuit that changes with the arc extinguishing circuit current and armature displacement is calculated by the following formula:

[0046] ,

[0047] in, The equivalent potential in the main circuit changes with the arc extinguishing circuit current and armature displacement. is the initial mutual inductance between the main circuit and the arc extinguishing circuit corresponding to the initial position of the armature, It is the mutual inductance gradient between the main circuit and the arc extinguishing circuit.

[0048] Figure 5FIG. 2 shows a specific implementation of the armature equivalent unit. Figure 5 As shown, the armature equivalent unit is used to simulate the electrical performance of the branch where the armature is located before and after the armature is ejected from the barrel. Before the armature is ejected from the barrel, the acceleration output by the motion parameter calculation unit is calculated, and the armature equivalent potential that changes with the armature movement is calculated through an adder, a current sampling unit, a delay unit and a multiplier. The result of the real-time calculation is used as the input of the controlled voltage source of the armature equivalent unit, and the equivalent potential calculated in real time is connected to the main circuit in the form of a voltage source; through a barrel ejection circuit breaker composed of an integrator, a selection switch and an ideal switch, the barrel ejection circuit breaker is connected in series with the controlled voltage source of the armature equivalent unit to ensure that it is connected to the main circuit in the form of a short circuit before the armature is ejected from the barrel, and does not affect the main circuit. After the armature is ejected from the barrel, an open circuit is formed between the armature equivalent unit and the main circuit, and no electrical connection is formed.

[0049] The armature equivalent potential that changes with the armature motion is calculated by the following formula:

[0050] ,

[0051] in, is the armature equivalent potential that changes with the armature motion, is the armature resistance, is the single-side pivot rail contact resistance, is the armature current.

[0052] Figure 6 A specific implementation of the arc extinguishing circuit equivalent unit is shown. Figure 6 As shown, the arc extinguishing circuit equivalent unit realizes the calculation of the equivalent potential in the arc extinguishing circuit that changes with the arc extinguishing circuit current and the armature displacement through a subtractor, a gain unit, an adder, a multiplier, a differential unit and a selection switch based on the arc extinguishing circuit current output by the arc extinguishing circuit current sampling unit and the displacement output by the motion parameter calculation unit. The result of the real-time calculation is used as the input of the controlled voltage source of the arc extinguishing circuit equivalent unit, and the equivalent potential calculated in real time is connected to the arc extinguishing circuit in the form of a voltage source.

[0053] The equivalent potential in the arc extinguishing circuit that changes with the arc extinguishing circuit current and armature displacement is calculated by the following formula:

[0054] ,

[0055] in, is the equivalent potential in the arc extinguishing circuit that changes with the arc extinguishing circuit current and armature displacement, is the resistance of the parallel arc suppressor, is the inductance of the parallel arc suppressor, is the initial self-inductance of the arc extinguishing circuit corresponding to the armature at the initial position of movement, is the self-inductance gradient of the arc extinguishing circuit.

[0056] Figure 7 FIG. 2 shows a specific implementation of the main circuit mutual inductance equivalent unit. Figure 7 As shown, the main circuit mutual inductance equivalent unit calculates the displacement output by the motion parameter calculation unit and realizes the calculation of the equivalent potential in the arc extinguishing circuit that changes with the main circuit current and the armature displacement through the gain unit, adder, multiplier, differential unit and selection switch. The result of the real-time calculation is used as the input of the controlled voltage source of the main circuit mutual inductance equivalent unit, and the equivalent potential calculated in real time is connected to the arc extinguishing circuit in the form of a voltage source.

[0057] The equivalent potential in the arc extinguishing circuit that changes with the main circuit current and armature displacement is calculated by the following formula:

[0058] ,

[0059] in, It is the equivalent potential in the arc extinguishing circuit that changes with the main circuit current and armature displacement.

Claims

1. A dynamic simulation system for parallel arc extinguisher, characterized in that: The system includes: a motion parameter calculation unit, a main circuit current sampling unit, a main circuit equivalent unit, an arc extinguishing circuit mutual inductance equivalent unit, an armature equivalent unit, an arc extinguishing circuit current sampling unit, an arc extinguishing circuit equivalent unit, and a main circuit mutual inductance equivalent unit; wherein, The motion parameter calculation unit is used to calculate and output the acceleration and displacement of the armature when it moves in the bore according to the main circuit current output by the main circuit current sampling unit and the arc extinguishing circuit current output by the arc extinguishing circuit current sampling unit; wherein the acceleration is calculated through the main circuit current, the arc extinguishing circuit current, the main circuit self-inductance gradient, the arc extinguishing circuit self-inductance gradient, the mutual inductance gradient between the main circuit and the arc extinguishing circuit, and the armature mass; The main circuit current sampling unit is used to sample the main circuit current, wherein the main circuit refers to a series circuit consisting of a main circuit current sampling unit, a main circuit equivalent unit, an arc extinguishing circuit mutual inductance equivalent unit, and an armature equivalent unit; The main circuit equivalent unit is used to calculate and output the equivalent potential in the main circuit that changes with the main circuit current and the armature displacement according to the main circuit current output by the main circuit current sampling unit and the displacement output by the motion parameter calculation unit; The arc extinguishing circuit mutual inductance equivalent unit is used to calculate and output the equivalent potential in the main circuit that changes with the arc extinguishing circuit current and the armature displacement according to the arc extinguishing circuit current output by the arc extinguishing circuit current sampling unit and the displacement output by the motion parameter calculation unit; The armature equivalent unit is used to simulate the electrical performance of the armature branch before and after the armature is ejected from the barrel. Before the armature is ejected from the barrel, it is used to calculate the acceleration output by the unit according to the motion parameters, calculate and output the equivalent potential that changes with the armature motion. After the armature is ejected from the barrel, an open circuit is formed between the armature equivalent unit and the main circuit, and no electrical connection is formed. The arc extinguishing circuit current sampling unit is used to sample the arc extinguishing circuit current, wherein the arc extinguishing circuit refers to a series circuit composed of the arc extinguishing circuit current sampling unit, the arc extinguishing circuit equivalent unit, and the main circuit mutual inductance equivalent unit; The arc extinguishing circuit equivalent unit is used to calculate and output the equivalent potential in the arc extinguishing circuit that changes with the arc extinguishing circuit current and the armature displacement according to the arc extinguishing circuit current output by the arc extinguishing circuit current sampling unit and the displacement output by the motion parameter calculation unit; The main circuit mutual inductance equivalent unit is used to calculate and output the equivalent potential in the arc extinguishing circuit that changes with the main circuit current and the armature displacement according to the main circuit current output by the main circuit current sampling unit and the displacement output by the motion parameter calculation unit.

2. A dynamic simulation system for parallel arc extinguisher according to claim 1, characterized in that: The motion parameter calculation unit calculates and outputs the acceleration and displacement of the armature when it moves in the bore according to the main circuit current output by the main circuit current sampling unit and the arc extinguishing circuit current output by the arc extinguishing circuit current sampling unit. The acceleration of the armature is calculated by the following formula: ， Where a is the acceleration of the armature, m is the mass of the armature, is the main circuit current, is the arc extinguishing circuit current, is the self-inductance gradient of the main loop, is the self-inductance gradient of the arc extinguishing circuit, Mutual inductance gradient between the main circuit and the arc extinguishing circuit; The displacement of the armature is calculated by the following formula: ， Among them, x is the displacement of the armature, t is the time, and l is the maximum acceleration distance of the armature in the bore.

3. A dynamic simulation system for parallel arc extinguisher according to claim 2, characterized in that: The main circuit equivalent unit calculates and outputs the equivalent potential in the main circuit that changes with the main circuit current and the armature displacement according to the main circuit current output by the main circuit current sampling unit and the displacement output by the motion parameter calculation unit. The equivalent potential in the main circuit that changes with the main circuit current and the armature displacement is calculated by the following formula: ， in, The equivalent potential in the main circuit changes with the main circuit current and armature displacement. is the initial resistance corresponding to the armature at the initial position of motion, is the resistance gradient, It is the initial self-inductance of the main circuit corresponding to the armature at the initial position of motion.

4. A dynamic simulation system for parallel arc extinguishers according to claim 3, characterized in that: The arc extinguishing circuit mutual inductance equivalent unit calculates and outputs the equivalent potential in the main circuit that changes with the arc extinguishing circuit current and the armature displacement according to the arc extinguishing circuit current output by the arc extinguishing circuit current sampling unit and the displacement output by the motion parameter calculation unit. The equivalent potential in the main circuit that changes with the arc extinguishing circuit current and the armature displacement is calculated by the following formula: ， in, The equivalent potential in the main circuit changes with the arc extinguishing circuit current and armature displacement. is the initial mutual inductance between the main circuit and the arc extinguishing circuit corresponding to the initial position of the armature, It is the mutual inductance gradient between the main circuit and the arc extinguishing circuit.

5. A dynamic simulation system for parallel arc extinguishers according to claim 4, characterized in that: The armature equivalent unit is used to simulate the electrical performance of the armature branch before and after the armature is ejected. Before the armature is ejected, the acceleration output by the motion parameter calculation unit is calculated and output, and the armature equivalent potential that changes with the armature movement is calculated and output; after the armature is ejected, an open circuit is formed between the armature equivalent unit and the main circuit, and no electrical connection is formed; the armature equivalent potential that changes with the armature movement is calculated by the following formula: ， in, is the armature equivalent potential that changes with the armature motion, is the armature resistance, is the single-side pivot rail contact resistance, is the armature current.

6. A dynamic simulation system for parallel arc extinguishers according to claim 5, characterized in that: The arc extinguishing circuit equivalent unit calculates and outputs the equivalent potential in the arc extinguishing circuit that changes with the arc extinguishing circuit current and the armature displacement according to the arc extinguishing circuit current output by the arc extinguishing circuit current sampling unit and the displacement output by the motion parameter calculation unit. The equivalent potential in the arc extinguishing circuit that changes with the arc extinguishing circuit current and the armature displacement is calculated by the following formula: ， in, is the equivalent potential in the arc extinguishing circuit that changes with the arc extinguishing circuit current and armature displacement, is the resistance of the parallel arc suppressor, is the inductance of the parallel arc suppressor, is the initial self-inductance of the arc extinguishing circuit corresponding to the armature at the initial position of movement, is the self-inductance gradient of the arc extinguishing circuit.

7. A dynamic simulation system for parallel arc extinguishers according to claim 6, characterized in that: The main circuit mutual inductance equivalent unit calculates and outputs the equivalent potential in the arc extinguishing circuit that changes with the main circuit current and armature displacement according to the main circuit current output by the main circuit current sampling unit and the displacement output by the motion parameter calculation unit. The equivalent potential in the arc extinguishing circuit that changes with the main circuit current and armature displacement is calculated by the following formula: ， in, It is the equivalent potential in the arc extinguishing circuit that changes with the main circuit current and armature displacement.

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