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.