CN106294892B - A method of judging MMC numerical model analysis simulated power interface stability - Google Patents

A method of judging MMC numerical model analysis simulated power interface stability Download PDF

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CN106294892B
CN106294892B CN201510245330.1A CN201510245330A CN106294892B CN 106294892 B CN106294892 B CN 106294892B CN 201510245330 A CN201510245330 A CN 201510245330A CN 106294892 B CN106294892 B CN 106294892B
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power interface
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CN106294892A (en
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贺之渊
吴学光
刘栋
谷怀广
林畅
朱琳
翟雪冰
万祥楠
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State Grid Corp of China SGCC
State Grid Zhejiang Electric Power Co Ltd
China EPRI Electric Power Engineering Co Ltd
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State Grid Zhejiang Electric Power Co Ltd
China EPRI Electric Power Engineering Co Ltd
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Abstract

The present invention provides a kind of method for judging MMC numerical model analysis simulated power interface stability, comprising the following steps: establishes MMC numerical model analysis emulation equivalent model;Decoupling operation is carried out to MMC numerical model analysis simulated power interface;Determine the impedance matching condition for meeting MMC numerical model analysis simulated power interface stability;MMC numerical model analysis simulated power interface is emulated, the correctness and reasonability of impedance matching condition are verified.The problem of present invention solves the MMC numerical model analysis emulation realized based on voltage-type ideal transformer algorithm, meets its power interface stability impedance matching condition, provides technological guidance for MMC numerical model analysis analogue system conceptual design, greatly improves work efficiency.It is made rational planning for using the invention to the emulation of MMC numerical model analysis, the stability and accuracy of power interface can be effectively improved.

Description

A method of judging MMC numerical model analysis simulated power interface stability
Technical field
The present invention relates to a kind of judgment methods, and in particular to a kind of judgement MMC numerical model analysis simulated power interface stability Method.
Background technique
With the continuous promotion that China requires energy field sustainable development, energy resource structure of the China based on coal and Power supply architecture, by within decades from now on gradually to the various generations of electricity by new energy such as water power, nuclear power, wind-powered electricity generation, solar energy and depositing Structure is changed.User requires also be continuously improved to power quality simultaneously, and utilizes flexible DC transmission technology realization can The grid-connected and advantage to urban electricity supply of the renewable sources of energy becomes to be more and more obvious, wherein modular multi-level flexible direct-current transmission technology (MMC-HVDC) generally acknowledged development trend is had become.
Although traditional pure digi-tal emulation can flexibly, easily change parameter setting, there is stronger versatility, simulation It is larger, but its dynamic characteristic for being difficult high-precision accurate simulation converter valve and electronic power switch device.And pure physics Although emulation has many advantages, such as visual phenomenon, clear physics conception, there is also construction investments, and huge, parameter change is stranded The defects of hardly possible, limited simulation scale, MMC-HVDC system in large scale can not be simulated completely, and be difficult to accurately simulate complete friendship The temporary steady-state characteristic of streaming system.And numerical model analysis emulation can then make the two have complementary advantages, and expand simulation scale, reduce to field The requirement of ground maintenance can provide for the scientific research and innovation of extensive MMC-HVDC flexible DC transmission technology and engineer application in the future Technical support greatly improves work efficiency.Numerical model analysis emulation technology, which overcomes traditional simulation, can not accurately simulate MMC- HVDC converter valve and the dynamic characteristic of electronic power switch device are difficult accurately to simulate temporary steady-state characteristic of complete AC system etc. and lack It falls into, solves the problems, such as that carry out Digital Simulation device in simulating grid arbitrary point connect with physical analogy side power two-phase, fills up The blank in extensive multinode MMC-HVDC flexible DC transmission numerical model analysis emulation field becomes and studies extensively in the industry Focus.
Summary of the invention
In order to overcome the above-mentioned deficiencies of the prior art, the present invention provides a kind of judgement MMC numerical model analysis simulated power interface The method of stability is solved the MMC numerical model analysis emulation realized based on voltage-type ideal transformer algorithm, meets its power and connect The problem of mouth stability impedance matching condition, technological guidance is provided for MMC numerical model analysis analogue system conceptual design, is greatly improved Working efficiency.It is made rational planning for using the invention to the emulation of MMC numerical model analysis, the stabilization of power interface can be effectively improved Property and accuracy.
In order to achieve the above-mentioned object of the invention, the present invention adopts the following technical scheme that:
The present invention provide it is a kind of judge MMC numerical model analysis simulated power interface stability method, the method includes with Lower step:
Step 1: establishing MMC numerical model analysis emulation equivalent model;
Step 2: decoupling operation is carried out to MMC numerical model analysis simulated power interface;
Step 3: determining the impedance matching condition for meeting MMC numerical model analysis simulated power interface stability;
Step 4: MMC numerical model analysis simulated power interface being emulated, the correctness and conjunction of impedance matching condition are verified Rationality.
In the step 1, MMC numerical model analysis emulation equivalent model include MMC numerical model analysis simulated digital side equivalent model, MMC numerical model analysis simulated power interface and MMC numerical model analysis emulated physics side equivalent model;MMC numerical model analysis simulated digital side Equivalent model is connect by MMC numerical model analysis simulated power interface with MMC numerical model analysis emulated physics side equivalent model.
MMC numerical model analysis simulated digital side equivalent model includes concatenated ideal voltage source, digital side equivalent resistance R1With digital side equivalent inductance L1
MMC numerical model analysis emulated physics side equivalent model includes concatenated physical side equivalent resistance R2, physical side etc. Imitate capacitor C2With physical side equivalent inductance L2;It respectively indicates are as follows:
L2=LL+LT
Wherein, single-phase upper and lower bridge arm is in the sum of submodule number of investment state when N is MMC stable operation;R0For MMC submodule is in equivalent resistance when investment state;C0Equivalent capacity when investment state is in for MMC submodule;LTTo change Rheology leakage reactance;LLFor equivalent bridge arm inductance, and LL=L0, L0For single-phase up/down bridge arm reactance.
In the step 2, MMC numerical model analysis simulated power interface is decoupled based on voltage-type ideal transformer algorithm Operation.
The MMC numerical model analysis simulated power interface includes multiplying arrangement and sample devices;The multiplying arrangement is voltage Type power amplifier, the sample devices include A/D converter and D/A converter;
Digital side port voltage carries out D/A conversion by D/A converter and is amplified by voltage type power amplifier, then send It is forward path toward physical side controlled voltage source;Physical side port current is sent to number after A/D converter carries out A/D conversion Side controlled current source is feedback channel.
If the dynamic characteristic of voltage type power amplifier and sample devices under Laplce's frequency domain uses T respectivelyVA(s) and Tc (s) it indicates, uses Td1Indicate the delay of forward path, Td2Indicate the delay of feedback channel;Then voltage-type ideal transformer is used After algorithm carries out decoupling operation to MMC numerical model analysis simulated power interface, obtain:
Wherein, u2It (s) is the physical side port voltage under Laplce's frequency domain, u1It (s) is the number under Laplce's frequency domain Side ports voltage, i1It (s) is the digital side electric current under Laplce's frequency domain, i2It (s) is the physical side electricity under Laplce's frequency domain Stream;
Then, transformation matrix of the MMC numerical model analysis simulated power interface under Laplce's frequency domain is obtained, is had:
Wherein, A (s) is transformation matrix of the MMC numerical model analysis simulated power interface under Laplce's frequency domain.
In the step 3, the impedance for meeting MMC numerical model analysis simulated power interface stability is determined using Routh criterion Matching condition.
MMC numerical model analysis simulated digital side equivalent model and MMC numerical model analysis emulated physics side equivalent model are in La Pula Z is used in impedance under this frequency domain respectively1(s) and Z2(s) it indicates, has:
Wherein, R1For digital side equivalent resistance, L1For digital side equivalent inductance;R2For physical side equivalent resistance, C2For physics Side equivalent capacity, L2For physical side equivalent inductance;
Ideally, TVA(s) and Tc(s) it is approximately 1, can then obtains the open loop of MMC numerical model analysis simulated power interface Transmission function G0(s), have:
Wherein, TdIt is always delayed for MMC numerical model analysis simulated power interface, and Td=Td1+Td2, Td1Indicate prolonging for forward path When, Td2Indicate the delay of feedback channel;
Then the closed loop transform function formula for obtaining MMC numerical model analysis simulated power interface is 1+G0(s)=0, it may be assumed that
For simplifying the analysis, single order Pade approximation principle pair is utilizedApproximate processing is carried out, is had:
Wherein, a is by TdThe variable of decision, a > 0 and a=1/Td
Then the characteristic equation of MMC numerical model analysis simulated power interface can be obtained are as follows:
(L2-L1)C2s3+(R2-R1+aL1+aL2)C2s2+[1+a(R1+R2)C2] s+a=0
Stability analysis is carried out using characteristic equation of the Routh criterion to MMC numerical model analysis simulated power interface, column are write Routh array table, enabling Routh array the first column element of table be positive, available to meet MMC numerical model analysis simulated power interface steady Qualitative impedance matching condition, has:
In the step 4, using the Summary of Power System Simulation Software PSCAD to working under STATCOM mode MMC numerical model analysis simulated power interface is emulated, and the correctness and reasonability of impedance matching condition are verified.
It builds to decouple based on voltage-type ideal transformer algorithm in the Summary of Power System Simulation Software PSCAD and realize Work in the MMC numerical model analysis emulation equivalent model under STATCOM mode;By adjusting digital side equivalent parameters and physical side etc. Parameter is imitated, the correctness and rational verifying of impedance matching condition are completed.
The digital side equivalent parameters includes digital side equivalent resistance R1Resistance value and digital side equivalent inductance L1Inductance Value;
The physical side equivalent parameters includes physical side equivalent resistance R2Resistance value, physical side equivalent capacity C2Capacitance and Physical side equivalent inductance L2Inductance value.
Compared with prior art, the beneficial effects of the present invention are:
1) this method carries out Equivalent Modeling to MMC is worked under STATCOM mode, according to MMC submodule switching characteristic and MMC operational mode, is dexterously equivalent to linear circuit;
2) this method realizes Decoupling Analysis using voltage-type ideal transformer algorithm, and stability is good, accuracy is high, and opposite Other decoupling method engineering constructions are convenient, flexible;
3) this method can effectively improve the stability of MMC numerical model analysis simulated power interface, emulate to MMC numerical model analysis The design of digital side equivalent parameters and physical side equivalent parameters has certain guidance meaning.
Detailed description of the invention
Fig. 1 is MMC numerical model analysis artificial circuit hardware structure diagram in the embodiment of the present invention;
Fig. 2 is MMC equivalent circuit diagram under STATCOM mode in the embodiment of the present invention;
Fig. 3 is MMC one phase equivalent circuit figure under STATCOM mode in the embodiment of the present invention;
Fig. 4 is that MMC numerical model analysis emulates equivalent model figure under STATCOM mode in the embodiment of the present invention;
Fig. 5 is the MMC numerical model analysis emulation realized in the embodiment of the present invention based on the decoupling of voltage-type ideal transformer algorithm Equivalent model figure;
Fig. 6 is that MMC numerical model analysis emulates equivalent model control block diagram in the embodiment of the present invention;
Fig. 7 is built in PSCAD in the embodiment of the present invention based on the decoupling realization work of voltage-type ideal transformer algorithm MMC numerical model analysis under STATCOM mode emulates equivalent model figure.
Specific embodiment
The present invention is described in further detail below in conjunction with the accompanying drawings.
The present invention solves the MMC numerical model analysis emulation realized based on voltage-type ideal transformer algorithm, meets its power The problem of interface stability impedance matching condition, provides technological guidance for MMC numerical model analysis analogue system conceptual design, mentions significantly High working efficiency.It is made rational planning for using the invention to the emulation of MMC numerical model analysis, the steady of power interface can be effectively improved Qualitative and accuracy.
Such as Fig. 1, MMC numerical model analysis artificial circuit includes Digital Simulation device, physical simulating device (MMC) and MMC number Mould hybrid simulation power interface.Wherein physical simulating device is the converter valve equipment of flexible DC transmission, Digital Simulation device For electric system real-timedigital simulation equipment.Make number by voltage type power amplifier, A/D converter and D/A converter etc. Side device and physical side device connect, so as to much containing power electronic devices, control the higher object of complexity Reason equipment is flexibly emulated.Be employed herein voltage-type ideal transformer algorithm to MMC numerical model analysis simulated power interface into Row decoupling operation, the voltage signal of digital side after the amplification of D/A converter, voltage type power amplifier and linear transformer again It send into physical simulating device;It is imitative to feed back to number after A/D conversion and filter apparatus again for the current signal of physical side simultaneously True device.According to the real-time dynamic interaction of signal each other, two analogue systems realize power bi-directional connection.
Since there are system delay for MMC numerical model analysis simulated power interface, numerical model analysis emulation system more or less will lead to The stability of system power interface is affected, it is therefore necessary to derive to the condition for meeting power interface stability.
The present invention provide it is a kind of judge MMC numerical model analysis simulated power interface stability method, the method includes with Lower step:
Step 1: establishing MMC numerical model analysis emulation equivalent model;
Step 2: decoupling operation is carried out to MMC numerical model analysis simulated power interface;
Step 3: determining the impedance matching condition for meeting MMC numerical model analysis simulated power interface stability;
Step 4: MMC numerical model analysis simulated power interface being emulated, the correctness and conjunction of impedance matching condition are verified Rationality.
In the step 1, MMC numerical model analysis emulation equivalent model include MMC numerical model analysis simulated digital side equivalent model, MMC numerical model analysis simulated power interface and MMC numerical model analysis emulated physics side equivalent model;MMC numerical model analysis simulated digital side Equivalent model is connect by MMC numerical model analysis simulated power interface with MMC numerical model analysis emulated physics side equivalent model, such as Fig. 4
MMC numerical model analysis simulated digital side equivalent model includes concatenated ideal voltage source, digital side equivalent resistance R1With digital side equivalent inductance L1
Such as Fig. 2-Fig. 3, for N+1 level MMC, the upper and lower bridge arm of the every phase of any moment is in investment when steady-state operation The sum of submodule number of state is always N number of, i.e. N1a+N2a=N1b+N2b=N is set up.Wherein, N1a、N2aRespectively a Xiang Wen When state is run, upper and lower bridge arm is in the MMC submodule number of investment state, N1b、N2bIt is in and throws for b phase upper and lower bridge arm at this time Enter the MMC submodule number of state.It is found that MMC can be equivalent in a phase, bridge arm is in investment state submodule on bridge arm and b phase Equivalent resistance, capacitor series connection, a phase lower bridge arm, the b phase lower bridge arm after then connecting with same way are in parallel again, finally again with Equivalent bridge arm inductance LLBecome leakage reactance L with the change of currentTSeries connection.Then MMC numerical model analysis emulated physics side equivalent model includes concatenated object Manage side equivalent resistance R2, physical side equivalent capacity C2With physical side equivalent inductance L2;It respectively indicates are as follows:
L2=LL+LT
Wherein, single-phase upper and lower bridge arm is in the sum of submodule number of investment state when N is MMC stable operation;R0For MMC submodule is in equivalent resistance when investment state;C0Equivalent capacity when investment state is in for MMC submodule;LTTo change Rheology leakage reactance;LLFor equivalent bridge arm inductance, and LL=L0, L0For single-phase up/down bridge arm reactance.
In the step 2, such as Fig. 5-Fig. 6, MMC numerical model analysis simulated power is connect based on voltage-type ideal transformer algorithm Mouth carries out decoupling operation.
The MMC numerical model analysis simulated power interface includes multiplying arrangement and sample devices;The multiplying arrangement is voltage Type power amplifier, the sample devices include A/D converter and D/A converter;
Digital side port voltage carries out D/A conversion by D/A converter and is amplified by voltage type power amplifier, then send It is forward path toward physical side controlled voltage source;Physical side port current is sent to number after A/D converter carries out A/D conversion Side controlled current source is feedback channel.
If the dynamic characteristic of voltage type power amplifier and sample devices under Laplce's frequency domain uses T respectivelyVA(s) and Tc (s) it indicates, uses Td1Indicate the delay of forward path, Td2Indicate the delay of feedback channel;Then voltage-type ideal transformer is used After algorithm carries out decoupling operation to MMC numerical model analysis simulated power interface, obtain:
Wherein, u2It (s) is the physical side port voltage under Laplce's frequency domain, u1It (s) is the number under Laplce's frequency domain Side ports voltage, i1It (s) is the digital side electric current under Laplce's frequency domain, i2It (s) is the physical side electricity under Laplce's frequency domain Stream;
Then, transformation matrix of the MMC numerical model analysis simulated power interface under Laplce's frequency domain is obtained, is had:
Wherein, A (s) is transformation matrix of the MMC numerical model analysis simulated power interface under Laplce's frequency domain.
In the step 3, the impedance for meeting MMC numerical model analysis simulated power interface stability is determined using Routh criterion Matching condition.
MMC numerical model analysis simulated digital side equivalent model and MMC numerical model analysis emulated physics side equivalent model are in La Pula Z is used in impedance under this frequency domain respectively1(s) and Z2(s) it indicates, has:
Wherein, R1For digital side equivalent resistance, L1For digital side equivalent inductance;R2For physical side equivalent resistance, C2For physics Side equivalent capacity, L2For physical side equivalent inductance;
Ideally, TVA(s) and Tc(s) it is approximately 1, can then obtains the open loop of MMC numerical model analysis simulated power interface Transmission function G0(s), have:
Wherein, TdIt is always delayed for MMC numerical model analysis simulated power interface, and Td=Td1+Td2, Td1Indicate prolonging for forward path When, Td2Indicate the delay of feedback channel;
Then the closed loop transform function formula for obtaining MMC numerical model analysis simulated power interface is 1+G0(s)=0, it may be assumed that
For simplifying the analysis, single order Pade approximation principle pair is utilizedApproximate processing is carried out, is had:
Wherein, a is by TdThe variable of decision, a > 0 and a=1/Td
Then the characteristic equation of MMC numerical model analysis simulated power interface can be obtained are as follows:
(L2-L1)C2s3+(R2-R1+aL1+aL2)C2s2+[1+a(R1+R2)C2] s+a=0
Stability analysis is carried out using characteristic equation of the Routh criterion to MMC numerical model analysis simulated power interface, column are write Routh array table, enabling Routh array the first column element of table be positive, available to meet MMC numerical model analysis simulated power interface steady Qualitative impedance matching condition, has:
In the step 4, using the Summary of Power System Simulation Software PSCAD to working under STATCOM mode MMC numerical model analysis simulated power interface is emulated, and the correctness and reasonability of impedance matching condition are verified.
It builds to decouple based on voltage-type ideal transformer algorithm in the Summary of Power System Simulation Software PSCAD and realize Work in MMC numerical model analysis emulation equivalent model (such as Fig. 7) under STATCOM mode, by adjusting digital side equivalent parameters and Physical side equivalent parameters completes the correctness and rational verifying of impedance matching condition.
The digital side equivalent parameters includes digital side equivalent resistance R1Resistance value and digital side equivalent inductance L1Inductance Value;
The physical side equivalent parameters includes physical side equivalent resistance R2Resistance value, physical side equivalent capacity C2Capacitance and Physical side equivalent inductance L2Inductance value.
Digital side equivalent parameters and physical side equivalent parameters such as table 1:
Table 1
If Td=10 μ s.Firstly, equivalent parameters shown in table 1, show that MMC numerical model analysis simulated power interface can be steady Fixed operation.Secondly, guaranteeing that other parameters are constant, physical side equivalent inductance L is adjusted2=38.2mH, makes L2<L1It sets up, runs again System gradually unstability.Work as TdBigger, digital side and physical side waveform phase deviation become larger, in data transmission procedure caused by error Will be bigger, more than will lead to data scatter after certain threshold value.Therefore work as TdIt is smaller, it is imitative to be more conducive to raising MMC numerical model analysis True power interface stability and accuracy.
Verification result, which shows to derive, meets correctness and conjunction that MMC numerical model analysis simulated power interface stablizes necessary condition Rationality, while the derivation process also has certain versatility and applicability, this method is to MMC numerical model analysis simulated power interface Parameter designing have certain directive significance.
Finally it should be noted that: the above embodiments are merely illustrative of the technical scheme of the present invention and are not intended to be limiting thereof, institute The those of ordinary skill in category field can still modify to a specific embodiment of the invention referring to above-described embodiment or Equivalent replacement, these are applying for this pending hair without departing from any modification of spirit and scope of the invention or equivalent replacement Within bright claims.

Claims (9)

1. a kind of method for judging MMC numerical model analysis simulated power interface stability, it is characterised in that: the method includes following Step:
Step 1: establishing MMC numerical model analysis emulation equivalent model;
Step 2: decoupling operation is carried out to MMC numerical model analysis simulated power interface;
Step 3: determining the impedance matching condition for meeting MMC numerical model analysis simulated power interface stability;
Step 4: MMC numerical model analysis simulated power interface being emulated, the correctness and reasonability of impedance matching condition are verified;
In the step 1, it includes MMC numerical model analysis simulated digital side equivalent model, MMC that MMC numerical model analysis, which emulates equivalent model, Numerical model analysis simulated power interface and MMC numerical model analysis emulated physics side equivalent model;MMC numerical model analysis simulated digital side is equivalent Model is connect by MMC numerical model analysis simulated power interface with MMC numerical model analysis emulated physics side equivalent model;
MMC numerical model analysis simulated digital side equivalent model includes concatenated ideal voltage source, digital side equivalent resistance R1Sum number Word side equivalent inductance L1
MMC numerical model analysis emulated physics side equivalent model includes concatenated physical side equivalent resistance R2, physical side equivalent capacity C2With physical side equivalent inductance L2;It respectively indicates are as follows:
L2=LL+LT
Wherein, single-phase upper and lower bridge arm is in the sum of submodule number of investment state when N is MMC stable operation;R0For MMC Module is in equivalent resistance when investment state;C0Equivalent capacity when investment state is in for MMC submodule;LTFor change of current change Leakage reactance;LLFor equivalent bridge arm inductance, and LL=L0, L0For single-phase up/down bridge arm reactance.
2. the method for judgement MMC numerical model analysis simulated power interface stability according to claim 1, it is characterised in that: In the step 2, decoupling operation is carried out to MMC numerical model analysis simulated power interface based on voltage-type ideal transformer algorithm.
3. the method for judgement MMC numerical model analysis simulated power interface stability according to claim 2, it is characterised in that: The MMC numerical model analysis simulated power interface includes multiplying arrangement and sample devices;The multiplying arrangement is that voltage-type power is put Big device, the sample devices include A/D converter and D/A converter;
Digital side port voltage carries out D/A conversion by D/A converter and is amplified by voltage type power amplifier, then is sent to object Reason side controlled voltage source is forward path;Physical side port current by A/D converter carry out A/D conversion after be sent to digital side by Control current source is feedback channel.
4. the method for judgement MMC numerical model analysis simulated power interface stability according to claim 3, it is characterised in that: If the dynamic characteristic of voltage type power amplifier and sample devices under Laplce's frequency domain uses T respectivelyVA(s) and Tc(s) it indicates, Use Td1Indicate the delay of forward path, Td2Indicate the delay of feedback channel;Then voltage-type ideal transformer algorithm pair is used After MMC numerical model analysis simulated power interface carries out decoupling operation, obtain:
Wherein, u2It (s) is the physical side port voltage under Laplce's frequency domain, u1It (s) is the digital side under Laplce's frequency domain Mouth voltage, i1It (s) is the digital side electric current under Laplce's frequency domain, i2It (s) is the physical side electric current under Laplce's frequency domain;
Then, transformation matrix of the MMC numerical model analysis simulated power interface under Laplce's frequency domain is obtained, is had:
Wherein, A (s) is transformation matrix of the MMC numerical model analysis simulated power interface under Laplce's frequency domain.
5. the method for judgement MMC numerical model analysis simulated power interface stability according to claim 1, it is characterised in that: In the step 3, the impedance matching condition for meeting MMC numerical model analysis simulated power interface stability is determined using Routh criterion.
6. judging the method for MMC numerical model analysis simulated power interface stability according to claim 1 or 5, feature exists In: MMC numerical model analysis simulated digital side equivalent model and MMC numerical model analysis emulated physics side equivalent model are in Laplce's frequency domain Under impedance use Z respectively1(s) and Z2(s) it indicates, has:
Wherein, R1For digital side equivalent resistance, L1For digital side equivalent inductance;R2For physical side equivalent resistance, C2For physical side etc. Imitate capacitor, L2For physical side equivalent inductance;
Ideally, dynamic characteristic T of the voltage type power amplifier under Laplce's frequency domainVA(s) it is being drawn with sample devices Dynamic characteristic T under this frequency domain of pulac(s) it is approximately 1, can then obtains the open loop transmitting of MMC numerical model analysis simulated power interface Function G0(s), have:
Wherein, TdIt is always delayed for MMC numerical model analysis simulated power interface, and Td=Td1+Td2, Td1Indicate the delay of forward path, Td2Indicate the delay of feedback channel;
Then the closed loop transform function formula for obtaining MMC numerical model analysis simulated power interface is 1+G0(s)=0, it may be assumed that
For simplifying the analysis, single order Pade approximation principle pair is utilizedApproximate processing is carried out, is had:
Wherein, a is by TdThe variable of decision, a > 0 and a=1/Td
Then the characteristic equation of MMC numerical model analysis simulated power interface can be obtained are as follows:
(L2-L1)C2s3+(R2-R1+aL1+aL2)C2s2+[1+a(R1+R2)C2] s+a=0
Stability analysis is carried out using characteristic equation of the Routh criterion to MMC numerical model analysis simulated power interface, column are write Routh array table, enabling Routh array the first column element of table be positive, available to meet MMC numerical model analysis simulated power interface steady Qualitative impedance matching condition, has:
7. the method for judgement MMC numerical model analysis simulated power interface stability according to claim 1, it is characterised in that: It is mixed to the MMC digital-to-analogue worked under STATCOM mode using the Summary of Power System Simulation Software PSCAD in the step 4 It closes simulated power interface to be emulated, verifies the correctness and reasonability of impedance matching condition.
8. the method for judgement MMC numerical model analysis simulated power interface stability according to claim 7, it is characterised in that: It builds in the Summary of Power System Simulation Software PSCAD and is worked in based on the decoupling realization of voltage-type ideal transformer algorithm MMC numerical model analysis under STATCOM mode emulates equivalent model;By adjusting digital side equivalent parameters and the equivalent ginseng of physical side Number, completes the correctness and rational verifying of impedance matching condition.
9. the method for judgement MMC numerical model analysis simulated power interface stability according to claim 8, it is characterised in that: The digital side equivalent parameters includes digital side equivalent resistance R1Resistance value and digital side equivalent inductance L1Inductance value;
The physical side equivalent parameters includes physical side equivalent resistance R2Resistance value, physical side equivalent capacity C2Capacitance and physics Side equivalent inductance L2Inductance value.
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