CN108920791B - Power electronic switch modeling method and model - Google Patents
Power electronic switch modeling method and model Download PDFInfo
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- CN108920791B CN108920791B CN201810644176.9A CN201810644176A CN108920791B CN 108920791 B CN108920791 B CN 108920791B CN 201810644176 A CN201810644176 A CN 201810644176A CN 108920791 B CN108920791 B CN 108920791B
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- G06F30/36—Circuit design at the analogue level
- G06F30/367—Design verification, e.g. using simulation, simulation program with integrated circuit emphasis [SPICE], direct methods or relaxation methods
Abstract
The invention discloses a power electronic switch modeling method which is characterized by comprising the following steps: the conducted switch is equivalent to an inductive resistor series branch circuit; the switched-off switch is equivalent to a capacitor-resistor series branch; a negative resistance device is connected in series in the switching branch. The power electronic switch modeling method disclosed by the invention can enable the admittance matrix in the on and off states after the switch circuit is equivalent to be unchanged, the equivalent inductance parameter and the capacitance parameter are easy to determine, and the power balance is maintained. The embodiment of the invention also discloses a power electronic switch model.
Description
Technical Field
The invention relates to the technical field of power electronics, in particular to a power electronic switch modeling method and a model.
Background
In recent years, with the development of power semiconductor devices and automatic control technologies, power electronic systems have been widely used. In the research and development process of the power electronic system, the digital simulation technology plays an important role, and can fully verify the circuit design and the control algorithm of the power electronic system, so that the risk of trial production of products is reduced.
From the perspective of system analysis, circuit simulation involves solving a set of first order differential equations that satisfy kirchhoff's law, i.e., describing the dynamic behavior of a circuit as it changes over time after being subjected to a particular stimulus. Meanwhile, in order to solve the problem by using a digital computer, the system of differential equations needs to be discretized properly so as to obtain the differential equation description of the circuit, so that the iterative calculation of the digital computer is facilitated. By combining the circuit equation with the discretization method, a generalized algorithm, namely an electromagnetic transient Program (EMTP), is generated, and accurate transient simulation calculation can be performed on the circuit containing the distribution parameters and the concentration parameters. In the EMTP method, the differential equation of each circuit element can be regarded as a "norton equivalent circuit" composed of a history current source and an equivalent admittance. And for the whole circuit, obtaining a system admittance matrix according to a node admittance method, thereby forming a differential equation of the whole circuit for iterative computation.
However, due to the complexity of modern power systems, typically only simple circuits (e.g., RLC circuits) have an intuitive differential equation description; complex nonlinear circuits related to power electronic switches and the like generally need to adopt a proper equivalent method to obtain an equivalent model described by simple circuit elements. The power electronic switch is the key of electric energy conversion, so that the research of a simulation model of a power electronic switch device becomes one of important works of electromagnetic transient simulation of a power electronic system.
Generally, there are two power electronic switch equivalent modeling approaches:
(1) the large and small resistance method, i.e. when the switch is on, it is equivalent to a small resistance, and when the switch is off, it is equivalent to a large resistance.
(2) The inductor-capacitor method, i.e. when the switch is on, it is equivalent to a small inductor, and when the switch is off, it is equivalent to a small capacitor. The FPGA (Field-Programmable Gate Array) programming is realized by selecting proper inductance and capacitance parameters.
The inventor finds that the following technical problems exist in the prior art in the process of implementing the invention:
when the large and small resistance method is adopted, the switching action leads to the regeneration of a system admittance matrix and a difference equation set of the circuit, and if necessary, a plurality of iterative operations are required to be carried out at a switching point so as to prevent numerical value oscillation. Along with the increase of the number and frequency of power electronic switches, the time consumption of electromagnetic transient calculation is also increased sharply, and meanwhile, a time-varying system matrix also causes difficulty in Field-Programmable Gate Array (FPGA) programming, so that the calculation efficiency is difficult to be improved by applying the latest parallelization calculation technology; when an inductance-capacitance method is adopted, the selection of inductance and capacitance parameters is very critical and needs to be matched with a simulation step length and circuit port equivalent impedance, but when the method is applied specifically, the matching process is complex due to the lack of a quantification guiding principle, and numerical oscillation is easily generated by the equivalent method of pure inductance and capacitance branches; the absence of compensation elements keeps the circuit power balanced.
Disclosure of Invention
The embodiment of the invention provides a power electronic switch model and a model, which can effectively overcome the defects that in the prior art, an admittance matrix of a system is time-varying, equivalent parameters of inductance and capacitance are difficult to determine, and a compensation element is lacked.
An embodiment of the present invention provides a power electronic switch modeling method, including:
the conducted switch is equivalent to an inductive resistor series branch circuit;
the switched-off switch is equivalent to a capacitor-resistor series branch;
a negative resistance device is connected in series in the switching branch.
As an improvement of the above scheme, after a conducting switch is equivalent to an inductor-resistor series branch, a branch transfer function obtained by laplace transform is as the following formula (1):
wherein s is a complex variable, L is an equivalent inductance, and R is an equivalent resistance.
As an improvement of the above scheme, after the turned-on switch is equivalent to an inductor-resistor series branch, the equivalent admittance and the history current of the inductor-resistor series branch obtained according to the electromagnetic transient program are as the following formula (2):
wherein, YrlIs equivalent admittance, It-ΔtFor the branch current of the last calculation time step, Ihist.rlFor updated historical current, Δ t is the simulation calculation step length, e is the natural constant, L is the equivalent inductance, and R is the equivalent resistance.
As an improvement of the above scheme, after the turned-off switch is equivalent to a capacitor-resistor series branch, the branch transfer function obtained by laplace transform is as the following formula (3):
wherein s is a complex variable, C is an equivalent capacitor, and R is an equivalent resistor.
As an improvement of the above scheme, after the turned-off switch is equivalent to a capacitance-resistance series branch, the equivalent admittance and the history current of the capacitance-resistance series branch obtained according to the electromagnetic transient program are as the following formula (4):
wherein, YrcIs equivalent admittance, It-ΔtFor the branch current of the last calculation time step, Ut-ΔtFor the branch voltage of the last calculation time step, Ihist.rcFor updated historical current, Δ t is the simulation calculation step length, e is the natural constant, C is the equivalent capacitance, and R is the equivalent resistance.
As an improvement of the scheme, the admittance matrix in the equivalent circuit is unchanged when the switch is turned on and turned off.
As an improvement of the scheme, the equivalent admittance Y after the equivalent of the conducted switchrlAs in the following formula (5):
equivalent admittance Y after switch-off equivalencercIs as the following formula (6);
from Yrl＝YrcObtaining the formula (7):
the equivalent inductance and equivalent capacitance parameters are as in the following equation (8):
wherein, YrlIs the equivalent admittance of the switch when it is on, YrcAnd the equivalent admittance when the switch is turned off, delta t is the step length of simulation calculation, e is a natural constant, C is the equivalent capacitance, L is the equivalent inductance, and R is the equivalent resistance.
As an improvement of the above scheme, an absolute value of the resistance value of the negative resistance device is equal to the resistance value of the equivalent resistor.
Another embodiment of the present invention correspondingly provides a power electronic switch model, which includes: capacitance resistance branch circuit module, inductance resistance branch circuit module, first negative resistance device Rcomp1And a second negative resistance device Rcomp2(ii) a The capacitance-resistance branch circuit module comprises a first capacitor C1 and a first resistor R1; the inductance-resistance branch module comprises a first inductance L1 and a second resistance R2;
the first capacitor C1 and the first resistor R1 are connected in series at two ends of a power supply;
the first inductor L1 and the second resistor R2 are connected in series at two ends of a power supply;
the first negative resistance device Rcomp1The capacitor resistor branch circuit module is connected between a power supply and the capacitor resistor branch circuit module in series;
the second negative resistance device Rcomp2The inductor resistor branch circuit module is connected between a power supply and the inductor resistor branch circuit module in series.
The modeling method for the power electronic switch provided by the embodiment of the invention has the following beneficial effects:
the switches in the on and off states are respectively equivalent to an inductance resistance series branch and a capacitance resistance series branch, and the expressions of inductance parameters and capacitance parameters of the equivalent branches are calculated when the admittance matrixes of the two branches are the same, so that the system admittance matrixes before and after the switch states are changed are unchanged, and the method is suitable for Field Programmable Gate Array (FPGA) programming; the expression of the equivalent inductance parameter and the equivalent capacitance parameter is only related to the equivalent resistance and the simulation calculation step length, and the equivalent resistance and the simulation calculation step length are easy to obtain, so the equivalent inductance parameter and the equivalent capacitance parameter are easy to determine; a negative resistance device is connected in series with the switching branch circuit, so that the power balance of the circuit can be kept.
Drawings
Fig. 1 is a schematic flowchart of a power electronic switch modeling method according to an embodiment of the present invention.
Fig. 2 is a schematic structural diagram of a power electronic switch model according to a second embodiment of the present invention.
Detailed Description
The technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the drawings in the embodiments of the present invention, and it is obvious that the described embodiments are only a part of the embodiments of the present invention, and not all of the embodiments. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention.
Referring to fig. 1, a schematic flow chart of a power electronic switch modeling method according to an embodiment of the present invention includes:
s1, enabling the conducted switch to be equivalent to an inductive resistor series branch circuit;
the branch transfer function obtained by laplace transform is shown as the following formula (1):
the equivalent admittance and the historical current of the inductance-resistance series branch obtained according to the electromagnetic transient program are as the following formula (2):
wherein s is a complex variable, L is an equivalent inductance, R is an equivalent resistance, and Y isrlFor equivalent admittance, It-ΔtFor the branch current of the last calculation time step, Ihist.rlFor updated historical current, Δ t is the simulation calculation step length, and e is a natural constant.
S2, enabling the switched-off switch to be equivalent to a capacitor-resistor series branch;
the branch transfer function obtained by laplace transform is shown as the following formula (3):
the equivalent admittance and the historical current of the capacitance-resistance series branch obtained according to the electromagnetic transient program are as the following formula (4):
wherein s is a complex variable, C is an equivalent capacitance, R is an equivalent resistance, and Y isrcIs equivalent admittance, It-ΔtFor the branch current of the last calculation time step, Ut-ΔtFor the branch voltage of the last calculation time step, Ihist.rcFor updated historical current, Δ t is the simulation calculation step length, and e is a natural constant.
For the system admittance matrix to be constant when the switch is switched off and on, Y is providedrl＝Yrc；
Equivalent admittance Y after equivalent of switch onrlAs in the following formula (5):
equivalent admittance Y after switch-off equivalencercIs as the following formula (6);
from Yrl＝YrcObtaining the formula (7):
the equivalent inductance and equivalent capacitance parameters are as in the following equation (8):
wherein, YrlIs the equivalent admittance of the switch when it is on, YrcAnd the equivalent admittance when the switch is turned off, delta t is the step length of simulation calculation, e is a natural constant, C is the equivalent capacitance, L is the equivalent inductance, and R is the equivalent resistance.
S3, connecting a negative resistance device in series in the switch branch circuit;
wherein, the absolute value of the resistance of the negative resistance device is equal to the resistance of the equivalent resistor.
Referring to fig. 2, a schematic structural diagram of a power electronic switch model provided in the second embodiment of the present invention includes: capacitance resistance branch module, inductance resistance branch module, first negative resistance device Rcomp1And a second negative resistance device Rcomp2(ii) a The capacitance-resistance branch circuit module comprises a first capacitor C1 and a first resistor R1; the inductance-resistance branch module comprises a first inductance L1 and a second resistance R2;
the first capacitor C1 and the first resistor R1 are connected in series at two ends of the power supply;
the first inductor L1 and the second resistor R2 are connected in series at two ends of the power supply;
first negative resistance device Rcomp1The capacitor resistor branch circuit module is connected between the power supply and the capacitor resistor branch circuit module in series;
second negative resistance device Rcomp2And the inductor resistor branch circuit module is connected between the power supply and the inductor resistor branch circuit module in series.
The modeling method for the power electronic switch provided by the embodiment of the invention has the following beneficial effects:
the switches in the on and off states are respectively equivalent to an inductance resistance series branch and a capacitance resistance series branch, and the expressions of inductance parameters and capacitance parameters of the equivalent branches are calculated when the admittance matrixes of the two branches are the same, so that the system admittance matrixes before and after the switch states are changed are unchanged, and the method is suitable for Field Programmable Gate Array (FPGA) programming; the expression of the equivalent inductance parameter and the equivalent capacitance parameter is only related to the equivalent resistance and the simulation calculation step length, and the equivalent resistance and the simulation calculation step length are easy to obtain, so that the equivalent inductance parameter and the equivalent capacitance parameter are easy to determine; a negative resistance device is connected in series with the switching branch circuit, so that the power balance of the circuit can be kept.
It should be noted that the above-described model embodiments are only illustrative, where the units described as separate parts may or may not be physically separate, and the parts displayed as units may or may not be physical units, may be located in one place, or may be distributed on multiple network units. Some or all of the modules may be selected according to actual needs to achieve the purpose of the solution of the present embodiment.
While the foregoing is directed to the preferred embodiment of the present invention, it will be understood by those skilled in the art that various changes and modifications may be made without departing from the spirit and scope of the invention.
Claims (2)
1. A power electronic switch modeling method, comprising:
the conducted switch is equivalent to an inductive resistor series branch circuit;
the switched-off switch is equivalent to a capacitor-resistor series branch;
a negative resistance device is connected in series in the switch branch circuit;
after the switched-on switch is equivalent to an inductive resistor series branch, a branch transfer function obtained through Laplace transformation is as the following formula (1):
wherein s is a complex variable, L is an equivalent inductance, and R is an equivalent resistance;
after the conducted switch is equivalent to an inductive resistance series branch, the equivalent admittance and the historical current of the inductive resistance series branch obtained according to the electromagnetic transient program are as the following formula (2):
wherein, YrlIs equivalent admittance, It-ΔtFor the branch current of the last calculation time step, Ihist.rlFor the updated historical current, delta t is a simulation calculation step length, e is a natural constant, L is an equivalent inductance, and R is an equivalent resistance;
after the switched-off switch is equivalent to a capacitor-resistor series branch, a branch transfer function obtained through Laplace transformation is as the following formula (3):
wherein s is a complex variable, C is an equivalent capacitor, and R is an equivalent resistor;
after the switched-off switch is equivalent to a capacitance-resistance series branch, the equivalent admittance and the historical current of the capacitance-resistance series branch obtained according to the electromagnetic transient program are as the following formula (4):
wherein, YrcIs equivalent admittance, It-ΔtFor the branch current of the last calculation time step, Ut-ΔtFor the branch voltage of the last calculation time step, Ihist.rcFor the updated historical current, delta t is a simulation calculation step length, e is a natural constant, C is an equivalent capacitor, and R is an equivalent resistor;
the admittance matrix in the equivalent circuit is unchanged when the switch is switched on and switched off;
equivalent admittance Y after equivalent of switch onrlAs in the following formula (5):
equivalent admittance Y after switch-off equivalencercIs as the following formula (6);
from Yrl＝YrcObtaining the formula (7):
the equivalent inductance and equivalent capacitance parameters are as in the following equation (8):
wherein Y isrlIs the equivalent admittance of the switch when it is on, YrcThe equivalent admittance when the switch is turned off is shown, delta t is the step length of simulation calculation, e is a natural constant, C is the equivalent capacitance, L is the equivalent inductance, and R is the equivalent resistance;
the absolute value of the resistance value of the negative resistance device is equal to the resistance value of the equivalent resistor.
2. A power electronic switch model, characterized in that it is obtained using the modeling method of claim 1.
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| CN109614687B (en) * | 2018-12-07 | 2023-04-28 | 上海交通大学 | Constant admittance modeling and real-time simulation method for two-level bridge type converter |
| CN111725818B (en) * | 2019-03-18 | 2023-05-19 | 杨利 | Grid-connected simulation method and simulation terminal for three-phase weak current network converter group |
| CN111817333B (en) * | 2020-06-03 | 2022-08-12 | 中国电力科学研究院有限公司 | Alternating current overvoltage calculation method and system based on flexible direct current power transmission system characteristics |
| CN114818364B (en) * | 2022-05-17 | 2023-03-14 | 四川大学 | Bipolar direct current cable frequency-dependent RLC modeling method based on head wave valley amplitude-frequency characteristic fitting |
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