CN108920791A - A kind of electronic power switch modeling method and model - Google Patents
A kind of electronic power switch modeling method and model Download PDFInfo
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- CN108920791A CN108920791A CN201810644176.9A CN201810644176A CN108920791A CN 108920791 A CN108920791 A CN 108920791A CN 201810644176 A CN201810644176 A CN 201810644176A CN 108920791 A CN108920791 A CN 108920791A
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- G06F30/30—Circuit design
- 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
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Abstract
The invention discloses a kind of electronic power switch modeling methods, which is characterized in that including:The switch of conducting is equivalent to an inductive resistance series arm;The switch of shutdown is equivalent to a capacitance resistance series arm;One negative resistance device of series connection in switching branches.Electronic power switch modeling method disclosed by the invention switching circuit can be made equivalent after turn-on and turn-off state under admittance matrix it is constant, equivalent inductance parameter and capacitance parameter are easy to determining, maintain power-balance.The embodiment of the invention also discloses a kind of electronic power switch models.
Description
Technical field
The present invention relates to power electronics field more particularly to a kind of electronic power switch modeling method and models.
Background technique
In recent years, with the development of power semiconductor and automatic control technology, power electronic system has obtained more next
More it is widely applied.In the R&D process of power electronic system, digital simulation technique play the role of it is highly important, can be with
Circuit design and control algolithm to power electronic system are sufficiently verified, to reduce the risk of trial production.
From the angle of network analysis, circuit simulation is related to solving one group of first differential for meeting Kirchhoff's law
Equation group describes circuit by the dynamic behaviour changed over time after specific incentives.Meanwhile in order to be asked using digital computer
Solution needs to carry out appropriate discretization to differential equation group, so that the difference equation description of circuit is obtained, in order to digital computer
Iterative calculation.Circuit equation is combined with discretization method, just produces a kind of generalization algorithm --- electro-magnetic transient journey
Sequence (Electro Magnetic Transients Program, abbreviation EMTP), can be to including distribution parameter and lumped parameter
Circuit carry out accurate transient emulation calculating.In EMTP method, the difference equation of each circuit element can be regarded as
It one " equivalent circuit ", is made of historical current source and equivalent admittance.It is obtained to entire circuit, and according to node admittance method
System admittance matrix, to form the difference equation of entire circuit for iterating to calculate.
However, generally only ball bearing made (such as rlc circuit) just has intuitively due to the complexity of modern power systems
Differential equation;And the complex nonlinear circuit for being related to electronic power switch etc., it generally requires using appropriate equivalent
Method obtains the equivalent model using the description of ball bearing made element.Electronic power switch is the key that transformation of electrical energy, therefore is studied
The simulation model of electronic power switch device just becomes one of the important process of power electronic system electromagnetic transient simulation.
Generally, there are two types of electronic power switch equivalent modeling methods:
(1) it is equivalent to a small resistance when size electric-resistivity method, i.e. switch conduction, when switch OFF is equivalent to one big electricity
Resistance.
(2) it is equivalent to a small inductor when inductance capacitance method, i.e. switch conduction, when switch OFF is equivalent to a small electricity
Hold.Realize that (Field-Programmable Gate Array, scene can compile FPGA by selection inductance appropriate, capacitance parameter
Journey gate array) programming.
The present inventor has found in the practice of the invention, and following technical problem exists in the prior art:
When using size electric-resistivity method, switch motion will lead to the system admittance matrix and difference equation for regenerating circuit
Group also needs to carry out successive ignition operation in switching point when necessary, to prevent numerical oscillation.With electronic power switch number
The time-consuming of the increase of amount and frequency, EM transient calculation also sharply increases, while the sytem matrix of time-varying also leads to FPGA
The difficulty of (Field-Programmable Gate Array, field programmable gate array) programming, it is difficult to which application is newest parallel
Change computing technique and promotes computational efficiency;When using inductance capacitance method, inductance, the selection of capacitance parameter are very crucial, need and imitate
True step-length and circuit port equivalent impedance match, but when concrete application, due to lacking the guideline of quantification, match
Journey is more complex, and the equivalent method of pure inductance, capacitive branch is easy to produce numerical oscillation;Lack compensating element, holding circuit power
Balance.
Summary of the invention
The embodiment of the present invention provides a kind of electronic power switch model and model, can effectively solve prior art systems admittance
Matrix time-varying, inductance, capacitor equivalent parameter are difficult to the shortcomings that determining and lacking compensating element,.
One embodiment of the invention provides a kind of electronic power switch modeling method, including:
The switch of conducting is equivalent to an inductive resistance series arm;
The switch of shutdown is equivalent to a capacitance resistance series arm;
One negative resistance device of series connection in switching branches.
As an improvement of the above scheme, general by drawing after the switch of conducting being equivalent to an inductive resistance series arm
The branch transmission function such as following formula (1) that Lars converts:
Wherein, s is complex variable, and L is equivalent inductance, and R is equivalent resistance.
As an improvement of the above scheme, after the switch of conducting being equivalent to an inductive resistance series arm, according to electromagnetism
The equivalent admittance and historical current such as following formula (2) for the inductive resistance series arm that transient state program obtains:
Wherein, YrlFor equivalent admittance, It-ΔtFor the branch current of a upper Time step, Ihist.rlFor the history electricity of update
Stream, Δ t are simulation calculation step-length, and e is natural constant, and L is equivalent inductance, and R is equivalent resistance.
As an improvement of the above scheme, general by drawing after the switch of shutdown being equivalent to a capacitance resistance series arm
The branch transmission function such as following formula (3) that Lars converts:
Wherein, s is complex variable, and C is equivalent capacity, and R is equivalent resistance.
As an improvement of the above scheme, after the switch of shutdown being equivalent to a capacitance resistance series arm, according to electromagnetism
The equivalent admittance and historical current such as following formula (4) for the capacitance resistance series arm that transient state program obtains:
Wherein, YrcFor equivalent admittance, It-ΔtFor the branch current of a upper Time step, Ut-ΔtFor the branch of a upper Time step
Road voltage, Ihist.rcFor the historical current of update, Δ t is simulation calculation step-length, and e is natural constant, and C is equivalent capacity, and R is etc.
Imitate resistance.
As an improvement of the above scheme, when switch conduction and shutdown when it is equivalent after circuit in admittance matrix it is constant.
As an improvement of the above scheme, the equivalent admittance Y after the switch of conducting is equivalentrlFor such as following formula (5):
Equivalent admittance Y after the switch of shutdown is equivalentrcFor such as following formula (6);
By Yrl=Yrc, obtain formula (7):
Equivalent inductance and equivalent capacity parameter such as following formula (8):
Wherein, YrlEquivalent admittance when for switch conduction, YrcEquivalent admittance when for switch OFF, Δ t are simulation calculation
Step-length, e are natural constant, and C is equivalent capacity, and L is equivalent inductance, and R is equivalent resistance.
As an improvement of the above scheme, the absolute value of the resistance value of the negative resistance device and the resistance value of equivalent resistance are equal.
Another embodiment of the present invention correspondence provides a kind of electronic power switch model, which is characterized in that including:Capacitor electricity
Hinder branch module, inductive resistance branch module, the first negative resistance device Rcomp1With the second negative resistance device Rcomp2;Wherein, the capacitor
Resistance branch module includes first capacitor C1 and first resistor R1;The inductive resistance branch module includes the first inductance L1 and the
Two resistance R2;
The first capacitor C1 and the first resistor R1 are connected on both ends of power;
The first inductance L1 and the second resistance R2 are connected on both ends of power;
The first negative resistance device Rcomp1It is connected between power supply and the capacitance resistance branch module;
The second negative resistance device Rcomp2It is connected between power supply and the inductive resistance branch module.
A kind of electronic power switch modeling method provided in an embodiment of the present invention, has the advantages that:
By the way that the switch of turn-on and turn-off state is equivalent to an inductive resistance series arm and a capacitor electricity respectively
Series arm is hindered, and the inductance parameters of equivalent branch and the expression formula of capacitance parameter when the admittance matrix for calculating two branches is identical,
The system admittance matrix for making switch state change front and back is constant, is suitable for FPGA (Field-Programmable Gate
Array, field programmable gate array) programming;The expression formula of equivalent inductance parameter and equivalent capacity parameter only with equivalent resistance and
Simulation calculation step-length is related, and equivalent resistance and simulation calculation step-length are readily available, therefore equivalent inductance parameter and equivalent capacity ginseng
Number is easy to determining;It, can holding circuit power-balance in switching branches one negative resistance device of series connection.
Detailed description of the invention
Fig. 1 is a kind of flow diagram for electronic power switch modeling method that the embodiment of the present invention one provides.
Fig. 2 is a kind of structural schematic diagram of electronic power switch model provided by Embodiment 2 of the present invention.
Specific embodiment
Following will be combined with the drawings in the embodiments of the present invention, and technical solution in the embodiment of the present invention carries out clear, complete
Site preparation description, it is clear that described embodiments are only a part of the embodiments of the present invention, instead of all the embodiments.It is based on
Embodiment in the present invention, it is obtained by those of ordinary skill in the art without making creative efforts every other
Embodiment shall fall within the protection scope of the present invention.
It is a kind of flow diagram for electronic power switch modeling method that the embodiment of the present invention one provides, packet referring to Fig. 1
It includes:
S1, the switch of conducting is equivalent to an inductive resistance series arm;
Wherein, the branch transmission function such as following formula (1) obtained by Laplace transform:
According to the equivalent admittance and historical current such as following formula of the inductive resistance series arm that electromagnetic transient state procedure obtains
(2):
Wherein, s is complex variable, and L is equivalent inductance, and R is equivalent resistance, YrlFor equivalent admittance, It-ΔtWhen being calculated for upper one
The branch current of step, Ihist.rlFor the historical current of update, Δ t is simulation calculation step-length, and e is natural constant.
S2, the switch of shutdown is equivalent to a capacitance resistance series arm;
Wherein, the branch transmission function such as following formula (3) obtained by Laplace transform:
According to the equivalent admittance and historical current such as following formula of the capacitance resistance series arm that electromagnetic transient state procedure obtains
(4):
Wherein, s is complex variable, and C is equivalent capacity, and R is equivalent resistance, YrcFor equivalent admittance, It-ΔtWhen being calculated for upper one
The branch current of step, Ut-ΔtFor the branch voltage of a upper Time step, Ihist.rcFor the historical current of update, Δ t is emulation meter
Step-length is calculated, e is natural constant.
System admittance matrix when for switch OFF and conducting is constant, there is Yrl=Yrc;
Equivalent admittance Y after the switch of conducting is equivalentrlFor such as following formula (5):
Equivalent admittance Y after the switch of shutdown is equivalentrcFor such as following formula (6);
By Yrl=Yrc, obtain formula (7):
Equivalent inductance and equivalent capacity parameter such as following formula (8):
Wherein, YrlEquivalent admittance when for switch conduction, YrcEquivalent admittance when for switch OFF, Δ t are simulation calculation
Step-length, e are natural constant, and C is equivalent capacity, and L is equivalent inductance, and R is equivalent resistance.
S3, a negative resistance device of connecting in switching branches;
Wherein, the absolute value of the resistance value of negative resistance device and the resistance value of equivalent resistance are equal.
It referring to fig. 2, is a kind of structural schematic diagram of electronic power switch model provided by Embodiment 2 of the present invention, including:
Capacitance resistance branch module, inductive resistance branch module, the first negative resistance device Rcomp1With the second negative resistance device Rcomp2;Wherein, electric
Holding resistance branch module includes first capacitor C1 and first resistor R1;Inductive resistance branch module includes the first inductance L1 and second
Resistance R2;
First capacitor C1 and first resistor R1 are connected on both ends of power;
First inductance L1 and second resistance R2 are connected on both ends of power;
First negative resistance device Rcomp1It is connected between power supply and capacitance resistance branch module;
Second negative resistance device Rcomp2It is connected between power supply and inductive resistance branch module.
A kind of electronic power switch modeling method provided in an embodiment of the present invention, has the advantages that:
By the way that the switch of turn-on and turn-off state is equivalent to an inductive resistance series arm and a capacitor electricity respectively
Series arm is hindered, and the inductance parameters of equivalent branch and the expression formula of capacitance parameter when the admittance matrix for calculating two branches is identical,
The system admittance matrix for making switch state change front and back is constant, is suitable for FPGA (Field-Programmable Gate
Array, field programmable gate array) programming;The expression formula of equivalent inductance parameter and equivalent capacity parameter only with equivalent resistance and
Simulation calculation step-length is related, and equivalent resistance and simulation calculation step-length are readily available, therefore equivalent inductance parameter and equivalent capacity ginseng
Number is easy to determining;It, can holding circuit power-balance in switching branches one negative resistance device of series connection.
It should be noted that model embodiment described above is only schematical, wherein described be used as separation unit
The unit of explanation may or may not be physically separated, and component shown as a unit can be or can also be with
It is not physical unit, it can it is in one place, or may be distributed over multiple network units.It can be according to actual
It needs that some or all of the modules therein is selected to achieve the purpose of the solution of this embodiment.
The above is a preferred embodiment of the present invention, it is noted that for those skilled in the art
For, various improvements and modifications may be made without departing from the principle of the present invention, these improvements and modifications are also considered as
Protection scope of the present invention.
Claims (9)
1. a kind of electronic power switch modeling method, which is characterized in that including:
The switch of conducting is equivalent to an inductive resistance series arm;
The switch of shutdown is equivalent to a capacitance resistance series arm;
One negative resistance device of series connection in switching branches.
2. a kind of electronic power switch modeling method as described in claim 1, which is characterized in that the switch of conducting to be equivalent to
After one inductive resistance series arm, the branch transmission function such as following formula (1) that is obtained by Laplace transform:
Wherein, s is complex variable, and L is equivalent inductance, and R is equivalent resistance.
3. a kind of electronic power switch modeling method as described in claim 1, which is characterized in that the switch of conducting to be equivalent to
After one inductive resistance series arm, according to the equivalent admittance and history of the inductive resistance series arm that electromagnetic transient state procedure obtains
Electric current such as following formula (2):
Wherein, YrlFor equivalent admittance, It-ΔtFor the branch current of a upper Time step, Ihist.rlFor the historical current of update, Δ t
For simulation calculation step-length, e is natural constant, and L is equivalent inductance, and R is equivalent resistance.
4. a kind of electronic power switch modeling method as described in claim 1, which is characterized in that the switch of shutdown to be equivalent to
After one capacitance resistance series arm, the branch transmission function such as following formula (3) that is obtained by Laplace transform:
Wherein, s is complex variable, and C is equivalent capacity, and R is equivalent resistance.
5. a kind of electronic power switch modeling method as described in claim 1, which is characterized in that the switch of shutdown to be equivalent to
After one capacitance resistance series arm, according to the equivalent admittance and history of the capacitance resistance series arm that electromagnetic transient state procedure obtains
Electric current such as following formula (4):
Wherein, YrcFor equivalent admittance, It-ΔtFor the branch current of a upper Time step, Ut-ΔtFor the branch electricity of a upper Time step
Pressure, Ihist.rcFor the historical current of update, Δ t is simulation calculation step-length, and e is natural constant, and C is equivalent capacity, and R is equivalent electricity
Resistance.
6. a kind of electronic power switch modeling method as described in claim 1, which is characterized in that when switch conduction and when shutdown
The admittance matrix in circuit after equivalent is constant.
7. a kind of electronic power switch modeling method as claimed in claim 6, which is characterized in that after the switch of conducting is equivalent
Equivalent admittance YrlFor such as following formula (5):
Equivalent admittance Y after the switch of shutdown is equivalentrcFor such as following formula (6);
By Yrl=Yrc, obtain formula (7):
Equivalent inductance and equivalent capacity parameter such as following formula (8):
Wherein, YrlEquivalent admittance when for switch conduction, YrcEquivalent admittance when for switch OFF, Δ t are simulation calculation step-length,
E is natural constant, and C is equivalent capacity, and L is equivalent inductance, and R is equivalent resistance.
8. a kind of electronic power switch modeling method as described in claim 1, which is characterized in that the resistance value of the negative resistance device
Absolute value it is equal with the resistance value of equivalent resistance.
9. a kind of electronic power switch model, which is characterized in that the electronic power switch model be using as claim 1 to
What 8 described in any item equivalent methods obtained.
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CN109614687A (en) * | 2018-12-07 | 2019-04-12 | 上海交通大学 | Two level bridge inverters determine admittance modeling and real-time emulation method |
CN111725818A (en) * | 2019-03-18 | 2020-09-29 | 杨利 | Three-phase weak current network converter group grid-connected simulation method and simulation terminal |
CN111817333A (en) * | 2020-06-03 | 2020-10-23 | 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 |
CN114818364A (en) * | 2022-05-17 | 2022-07-29 | 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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Cited By (7)
Publication number | Priority date | Publication date | Assignee | Title |
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CN109614687A (en) * | 2018-12-07 | 2019-04-12 | 上海交通大学 | Two level bridge inverters determine admittance modeling and real-time emulation method |
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CN111725818A (en) * | 2019-03-18 | 2020-09-29 | 杨利 | Three-phase weak current network converter group grid-connected simulation method and simulation terminal |
CN111817333A (en) * | 2020-06-03 | 2020-10-23 | 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 |
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 |
CN114818364A (en) * | 2022-05-17 | 2022-07-29 | 四川大学 | Bipolar direct current cable frequency-dependent RLC modeling method based on head wave valley amplitude-frequency characteristic fitting |
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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