CN108923443A - A kind of Lyapunov control method for coordinating of the DFIG using PGSC and SGSC - Google Patents
A kind of Lyapunov control method for coordinating of the DFIG using PGSC and SGSC Download PDFInfo
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Classifications
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
- H02J3/00—Circuit arrangements for ac mains or ac distribution networks
- H02J3/26—Arrangements for eliminating or reducing asymmetry in polyphase networks
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
- H02J3/00—Circuit arrangements for ac mains or ac distribution networks
- H02J3/01—Arrangements for reducing harmonics or ripples
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- H02J3/386—
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- Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
- Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
- Y02E—REDUCTION OF GREENHOUSE GAS [GHG] EMISSIONS, RELATED TO ENERGY GENERATION, TRANSMISSION OR DISTRIBUTION
- Y02E10/00—Energy generation through renewable energy sources
- Y02E10/70—Wind energy
- Y02E10/76—Power conversion electric or electronic aspects
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- Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
- Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
- Y02E—REDUCTION OF GREENHOUSE GAS [GHG] EMISSIONS, RELATED TO ENERGY GENERATION, TRANSMISSION OR DISTRIBUTION
- Y02E40/00—Technologies for an efficient electrical power generation, transmission or distribution
- Y02E40/40—Arrangements for reducing harmonics
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- Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
- Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
- Y02E—REDUCTION OF GREENHOUSE GAS [GHG] EMISSIONS, RELATED TO ENERGY GENERATION, TRANSMISSION OR DISTRIBUTION
- Y02E40/00—Technologies for an efficient electrical power generation, transmission or distribution
- Y02E40/50—Arrangements for eliminating or reducing asymmetry in polyphase networks
Abstract
The present invention relates to the Lyapunov control method for coordinating of DFIG using PGSC and SGSC a kind of,This method increases a series transformer and a SGSC in DFIG stator side,Series transformer secondary tandem is between DFIG stator and power grid,SGSC input termination PGSC input terminal,SGSC output end connects series transformer primary by inductance L,SGSC is used to be controlled based on Lyapunov,Two multiplied frequency harmonics of PGSC can be offset using the harmonic wave that SGSC is generated,Stator voltage is easily controllable,To realize the inhibition to two double-frequency fluctuation of system gross output,Reducing influence of the unbalanced electric grid voltage to RSC system,Improve the global stability that system is realized while passing through service ability of RSC system unbalanced electric grid voltage.Compared with prior art, the present invention has many advantages, such as that fast response time, strong robustness, control parameter are few.Compared with prior art, the present invention has many advantages, such as.
Description
Technical field
The present invention relates to a kind of distributed power generation control technologies, more particularly, to a kind of DFIG's using PGSC and SGSC
Lyapunov control method for coordinating.
Background technique
With the increase that Wind turbines influence stability of power system, guarantee the wind-powered electricity generation when network voltage occurs uneven
Off-grid operation is not particularly important unit.Double-fed asynchronous generator (the Doubly Fed in numerous wind-driven generators
Induction Generator, DFIG) it is used widely with the cost of its relative moderate.The rotor of DFIG uses two
Pwm converter, i.e. rotor-side converter (Rotor-Side Converter, RSC) and grid side converter (Grid-Side
Converter, GSC).Since two converters are connected by intermediate DC bus with bulky capacitor, net can be passed through
Side converter realizes the independent decoupling control of net side, obtains it and controls target, improves control quality.Existing double fed asynchronous machine
Cause response speed slower because stator voltage is more difficult to control, and robustness is not strong.
Summary of the invention
It is an object of the present invention to overcome the above-mentioned drawbacks of the prior art and provide a kind of using PGSC and
The Lyapunov control method for coordinating of the DFIG of SGSC.
The purpose of the present invention can be achieved through the following technical solutions：
A kind of Lyapunov control method for coordinating of the DFIG using PGSC and SGSC, in unbalanced source voltage feelings
Coordinated control is carried out to the pusher side of DFIG and grid side converter under condition, rotor of this method in DFIG is using RSC and in parallel therewith
Parallel-connection network side converter (parallel GSC, PGSC), two converters are connected by intermediate DC bus with bulky capacitor
It connects, increases a series transformer and a series connection grid side converter (series GSC, SGSC), series connection in the stator side of DFIG
Transformer secondary output is connected between DFIG stator and power grid, and the input terminal of SGSC and the input terminal of PGSC connect, the output of SGSC
End connects series transformer primary by inductance L, and this method carries out the specific of coordinated control to the pusher side and grid side converter of DFIG
Step includes：
S1：Coordinated control based on Lyapunov is used to SGSC, establishes positive and negative sequence model, and calculate the control of SGSC
Current on line side reference value under target and different control targets.
The control target of SGSC is：
The positive-sequence component u of DFIG stator side voltages+With network voltage positive-sequence component ug+Always consistent, control stator side electricity
Press negative sequence component us-Make its zero, i.e.,：
Power grid transports to the instantaneous power S of PGSC under Voltage unbalance, is organized into matrix form and is：
In formula, subscript p, n respectively represent positive and negative sequence component, and subscript d, q represents dq axis component ,+,-respectively represent reference axis
Forward and backward direction,Respectively positive-sequence component is rotating forward the voltage on line side component on coordinate system d axis and q axis,Respectively negative sequence component is bearing the voltage on line side component turned on coordinate system d axis and q axis,Respectively
Positive-sequence component is rotating forward the current on line side component on coordinate system d axis and q axis,Respectively negative sequence component is rotating forward coordinate
Be the current on line side component on d axis and q axis, subscript g_av, g_sin2, g_cos2 respectively indicate PGSC power DC component,
Two frequency multiplication sinusoidal components, two frequency multiplication cosine components, P, Q are respectively active power, reactive power.
The control target of SGSC includes：
Target one：The electric current of net side input is free of negative sequence component, i.e.,：
In formula, subscript * represents net side command current value, and subscript series_av, series_sin2, series_cos2 divide
DC component, the two frequency multiplication sinusoidal components, two frequency multiplication cosine components of SGSC power are not represented；
Target two：Net side input active power contains only DC component, i.e.,：
Wherein, D1、D2Expression formula be respectively：
If by ug+It is oriented to d axis, passes through regulated dc voltage UdcAdjuster guarantee voltage value without harmonic wave, system dc
Bus capacitor instantaneous power is that PGSC instantaneous power subtracts the sum of instantaneous power of both RSC, SGSC, i.e.,：
In formula：Pg、PseriesThe respectively input power of PGSC, SGSC, PrFor the output power of rotor-side, C is that direct current is female
The capacitor of line；
U under the conditions of power grid operationdcInclude DC voltage average weight and wave component dUdc/ dt two parts, i.e.,：
Udc=Udc_av+dUdc/ dt=Udc_av+1/2ωUdc_av[(Pg_sin2-Pseries_sin2)+(Pg_cos2-Pseries_cos2)]
Target three：DC bus-bar voltage is free of two frequency multiplication sine udc_sin2, cosine component udc_cos2, i.e.,：
udc_sin2=udc_cos2=0
Target four：The reactive power of net side input contains only DC component, i.e.,：
S2：SGSC top-cross flow component is controlled using PIR controller.
The transmission function for using PIR controller to control SGSC top-cross flow component for：
In formula：KpAnd KiRespectively proportionality coefficient, integral coefficient；KrFor the resonance coefficient of resonant regulator；ωcFor cut-off
Frequency.
S3：PGSC is controlled using Lyapunov controller.
Net side Lyapunov positive sequence model is：
In formula, ω is electrical network angular frequency, LgFor the inductance of filter reactor, RgFor on route impedance and inductance equivalent string
Join the sum of resistance, and：
In formula, x1、x2The respectively actual value and finger of positive-sequence component net side current component on rotating forward coordinate system d axis, q axis
Enable difference between value, x3The difference between the actual value and instruction value of DC bus-bar voltage, udc、Respectively DC bus electricity
Actual value, the instruction value of pressure, Sd、Δ d is respectively the actual value of d axis switch function, instruction value and difference between the two
Value, Sq、Δ q is respectively the actual value of q axis switch function, instruction value and difference between the two；
Constructing Lyapunov function energy function is：
The derivative of Lyapunov function energy function is：
When x is non-zero, V (x) > 0, dV (x)/dt > 0, it is assumed that：
In formula, β1、β2For proportionality coefficient, ignore ripple, then the undulating value of switch function is taken as：
In formula, α1、α2Respectively two proportionality coefficients；
DV (x)/dt is represented by：
In formula：
Enable z3=m1z1=m2z2, and m1、m2>0, then it can obtain：
In formula, λ1min(r1,β1,m1) > 0 be about independent variable m1Quadratic function, λ2min(r2,β2,m2) > 0 be about from
Variable m2Quadratic function；
When taking m1(0)=(1+ β1)/(2β1) when：
λ1min(r1,β1,m1)=Rg+r1[1-(1+β1)2/(4β1)]
It can similarly obtain, when taking m2(0)=(1+ β2)/(2β2) when：
λ2min(r2,β2,m2)=Rg+r2[1-(1+β2)2/(4β2)]
WhenWhen, λ1min(r1,β1,m1) establishment of > 0, β0=1+2Rg/r1；
Indeterminacy section 1- ε < β desired for one1< 1+ ε, 1- ε < β2< 1+ ε, and It can then derive α1、α2Value range be：
Then releasing positive sequence control is：
Negative phase-sequence control, which can similarly be released, is：
S4：RSC is controlled using inner ring Lyapunov control, outer ring PI control.
Compared with prior art, the present invention has the following advantages that：
(1) fast response time of the present invention, strong robustness and control parameter are few；
(2) present invention offsets two multiplied frequency harmonics of PGSC using the harmonic wave that SGSC is generated, and stator voltage is easily controllable, from
And realize inhibition to two double-frequency fluctuation of system gross output, reducing influence of the unbalanced electric grid voltage to RSC system, mentioning
While passing through service ability of high RSC system unbalanced electric grid voltage improves the global stability and robustness of system.
Detailed description of the invention
Fig. 1 is the DFIG system topology figure using SGSC；
Fig. 2 is the structural block diagram of grid side converter；
Fig. 3 is the DFIG coordinated control block diagram based on SGSC；
Simulation result diagram when Fig. 4 is net side selection control one~target of target four, rotor-side selection control target four,
In, Fig. 4 (a) is rotor current simulation result diagram, and Fig. 4 (b) is stator side Simulation of SAR power image result figure；Fig. 4 (c) is imitative for electromagnetic torque
True result figure；
Fig. 5 is to be controlled under three kinds of control strategies using SGSC+PID control, Lyapunov control, SGSC+Lyapunov
DC bus-bar voltage waveform diagram；
Fig. 6 is the network side current waveform figure controlled using SGSC+PID；
Fig. 7 is the network side current waveform figure controlled using Lyapunov；
Fig. 8 is using SGSC+Lyapunov control strategy network side current waveform figure；
Fig. 9 is to be controlled under three kinds of control strategies using SGSC+PID control, Lyapunov control, SGSC+Lyapunov
Net side active power waveform diagram；
Figure 10 is to be controlled under three kinds of control strategies using SGSC+PID control, Lyapunov control, SGSC+Lyapunov
Net side reactive power waveform diagram.
Specific embodiment
The present invention is described in detail with specific embodiment below in conjunction with the accompanying drawings.
Embodiment
Fig. 1 is the DFIG system topology figure using SGSC.Compared with classical double-fed blower fan system, this system topology
Structure has more a series transformer and a series connection grid side converter (series GSC, SGSC) in fan stator side.Series connection
Transformer secondary output is connected between fan stator and power grid, series connection grid side converter SGSC input termination parallel-connection network side converter
(parallel GSC, PGSC) input terminal, series connection grid side converter SGSC output end connect series transformer primary by inductance L,
The SGSC of addition can either inject series compensating voltage appropriate by stator circuit to offset stator negative sequence voltage, while can also
It controls it and injects a positive sequence compensation voltage vector to stator circuit to eliminate the pressure drop of series transformer leakage impedance to DFIG stator
The influence of voltage, to guarantee DFIG stator voltage positive-sequence component us+With network voltage positive-sequence component ug+It is identical.Network voltage is not
The output for balancing lower SGSC controls voltage vector and is：
useries=ucom+-ug-
In formula, useriesFor the output voltage of series transformer；ucom+For the positive sequence voltage vector of compensation needed for SGSC；ug-
For network voltage negative sequence component.
Fig. 2 is the structural block diagram of grid side converter, in figure, ua、ub、ucFor network voltage, va、vb、vcSide electricity is exchanged for GSC
Pressure, RgFor line impedance and inductance equivalent series resistance summation, LgFor GSC output end filter inductance, ia、ib、icElectricity is inputted for GSC
Stream, C are the capacitor of DC bus, udcFor the voltage of DC bus, iloadThe electric current of RSC is flowed to for net side.
Positive and negative sequence mathematical model of the PGSC on dq axis be respectively：
In formula, subscript p, n respectively represent positive and negative sequence component, and subscript d, q represents dq axis component ,+,-respectively represent reference axis
Forward and backward direction；WithRespectively positive-sequence component is rotating forward coordinate system d
Axis exchanges side component of voltage, current on line side component with voltage on line side component, the GSC on q axis；WithRespectively negative sequence component exchanges side electricity with voltage on line side component, the GSC on q axis in the negative coordinate system d axis that turns
Press component, current on line side component；ω is electrical network angular frequency.
If the state variable for defining positive sequence closed-loop system is：
Then positive sequence math block can be changed to：
For SGSC, then have：
For PGSC, PGSC can export negative-sequence current component, which is multiplied resulting power with the voltage by it must
Containing two times of wave frequencies, as：
In formula：The average weight of subscript " g_av " expression power；" g_sin2, g_cos2 " represents sinusoidal, cosine fluctuation
Component.The amplitude of power component each in above formula is expressed as matrix form：
As the above analysis, in DFIG wind power control system, because of the two frequencys multiplication concussion in SGSC and PGSC output power
Certain weight proportion is accounted for, the output power of full structure also must be containing concussion component, to power network safety operation and power quality meeting
It brings and seriously threatens.Meanwhile because the active power in the dc-link capacitance C of centre can be infused thereto comprising SGSC and PGSC
The amount entered, therefore must also interfere the stability of DC-link voltage.Based on this, PGSC and SGSC is used the present invention provides a kind of
DFIG Lyapunov control method for coordinating, specifically include following steps：
Step S1：It is controlled using series connection grid side converter structure based on Lyapunov according in the case of unbalanced source voltage
The coordinated control of strategy, establishes its positive-negative sequence model, and calculates the control target and different control targets of series connection grid side converter
Under current on line side reference value.
The control target of SGSC is：The positive-sequence component u of DFIG stator side voltages+With network voltage positive-sequence component ug+Always
Unanimously, stator side voltage negative sequence component u is controlleds-Make its zero, i.e.,：
Power grid transports to the instantaneous power S of parallel-connection network side converter PGSC under Voltage unbalance, is organized into matrix form and is：
In formula, subscript g_av, g_sin2, g_cos2 respectively represent the DC component of PGSC power, two frequency multiplication sinusoidal components,
Two frequency multiplication cosine components.
Target one：The electric current of net side input is free of negative sequence component, i.e.,：
In formula, subscript * represents net side command current value, and subscript series_av, series_sin2, series_cos2 divide
DC component, the two frequency multiplication sinusoidal components, two frequency multiplication cosine components of SGSC power are not represented；
Target two：Net side input active power contains only DC component, i.e.,：
Wherein, D1、D2Expression formula be respectively：
If by ug+It is oriented to d axis, usually passes through regulated dc voltage UdcAdjuster guarantee voltage value without harmonic wave.By Fig. 1
As it can be seen that system dc bus capacitor instantaneous power is that PGSC instantaneous power subtracts the sum of instantaneous power of both RSC, SGSC, i.e.,：
In formula：Pg、PseriesThe respectively input power of PGSC, SGSC, PrFor the output power of rotor-side.
U under the conditions of power grid operationdcInclude DC voltage average weight and wave component dUdc/ dt two parts, i.e.,：
Udc=Udc_av+dUdc/ dt=Udc_av+1/2ωUdc_av[(Pg_sin2-Pseries_sin2)+(Pg_cos2-Pseries_cos2)]
It can be obtained from above formula, under conditions of meeting PGSC target two, the second harmonic of DC bus-bar voltage is pulsed certain
It can also be inhibited in degree.
Target three：DC bus-bar voltage is free of two frequency multiplication sine udc_sin2, cosine component udc_cos2, i.e.,：
Target four：The reactive power of net side input contains only DC component, i.e.,：
Step S2：Because considering bandwidth of traditional PI control to adjuster, there are certain restrictions, using proportional integration resonance
(PIR) controller realizes effective control to SGSC top-cross flow component, without the separation of phase sequence, to increase the temporary of system
State property energy.Its transmission function is represented by：
In formula：KpAnd KiRespectively ratio, integral coefficient；KrFor the resonance coefficient of resonant regulator；ωcFor cutoff frequency.
Step S3：PGSC is controlled using Lyapunov controller.
Net side Lyapunov positive sequence model is：
In formula：
Constructing Lyapunov function energy function is：
The derivative of Lyapunov function energy function is：
When x is non-zero, V (x) > 0, dV (x)/dt > 0, therefore meet the Asymptotic Stability condition of the Lyapunov overall situation.
For the inaccurate problem of reference value x, it is assumed that：
Ignore ripple, the undulating value of switch function is taken as：
DV (x)/dt is represented by：
In formula：
From the above equation, we can see that function f1、f2Minimum value when having to be larger than zero, just can guarantee dV (x)/dt > 0.Enable z3=m1z1
=m2z2, and m1、m2>0, then it can obtain：
In formula, λ1min(r1,β1,m1) > 0 be about independent variable m1Quadratic function, λ2min(r2,β2,m2) > 0 be about from
Variable m2Quadratic function.
When taking m1(0)=(1+ β1)/(2β1) when：
λ1min(r1,β1,m1)=Rg+r1[1-(1+β1)2/(4β1)]
It can similarly obtain, when taking m2(0)=(1+ β2)/(2β2) when：
λ2min(r2,β2,m2)=Rg+r2[1-(1+β2)2/(4β2)]
WhenWhen, λ1min(r1,β1,m1) establishment of > 0, β0=1+2Rg/r1.Therefore,
Work as r1When minimum, the asymptotic stability of indeterminacy section is maximum.
Indeterminacy section 1- ε < β desired for one1< 1+ ε, 1- ε < β2< 1+ ε, and It can then derive α1、α2Value range be：
Positive sequence control can be released in this way is：
Negative phase-sequence control, which can similarly be released, is：
Step S4：Fig. 3 is the coordinated control block diagram of the DFIG pusher side based on SGSC and net side.In figure, 3s/2r is that three-phase is quiet
Only arrive the operation of two-phase rotation.For RSC, because of grid-connected DFIG special structure, even if under the conditions of unbalanced power supply, DFIG
Set end voltage is still symmetrical always, therefore the present invention is controlled for RSC using the inner ring Lyapunov control similar with PGSC, outer ring PI
The vector strategy of system.
The present embodiment uses SGSC and Lyapunov phase to proposed by the present invention in MATLAB/Simulink emulation platform
In conjunction with DFIG control method feasibility and validity carried out simulation study.The given unbalanced source voltage degree of system
It is 15%, the main simulation parameter value of double feedback electric engine is as shown in table 1；The control parameter of PIR in the Voltage loop of SGSC and PGSC
As shown in table 2.
The main simulation parameter of 1 double feedback electric engine of table
The control parameter of PIR in the Voltage loop of table 2 SGSC and PGSC
For the superiority for proving the control method combined using SGSC and Lyapunov, the present embodiment is respectively to the present invention
The SGSC and Lyapunov of proposition combine control, controlled in conjunction with PI only with SGSC and only with Lyapunov three kinds of controls
Method processed carries out simulation comparison.During t=0~0.4s, is realized using three kinds of control strategies and is run under unbalanced power supply,
And four kinds of different control targets are realized in different periods, i.e.,：
1) t=0~0.1s：Selection control target one, to eliminate current on line side negative sequence component；
2) t=0.1~0.2s：It is run according to control target two is lower, to eliminate two frequency multiplication of net side active power；
3) t=0.2~0.3s：It is run according to control target three is lower, to eliminate two frequency multiplication of DC bus-bar voltage；
4) t=0.3~0.4s：Target four is controlled, to eliminate two frequency multiplication of net side reactive power.
In addition, rotor-side selection control target：Constant electromagnetic torque reduces the mechanical load to wind system axis.
Specific experiment effect is：
Fig. 4 (a), Fig. 4 (b), Fig. 4 (c) are respectively net side selection control one~target of target four, rotor-side selection control mesh
The simulation result diagram of rotor current, stator side power and electromagnetic torque when marking four.A, B, C respectively indicate three-phase in Fig. 4 (a), by
Fig. 4 (a) is it is found that can reach the requirement for eliminating current on line side negative sequence component；By in Fig. 4 (b), Fig. 4 (c) as it can be seen that can be realized
Eliminate the target of the harmonic wave of double feedback electric engine electromagnetic torque and stator output reactive power.
Fig. 5 is DC bus-bar voltage waveform under three kinds of control strategies.As can be seen that in identical Voltage unbalance condition
Under, when selection control target a period of time, DC bus-bar voltage 20ms moment under SGSC+PID control strategy reaches stationary value 700V,
And the control strategy of Lyapunov and this paper is used, it is just stable at the 3.2ms moment.When selection control two~target four of target, this
Literary control strategy is smaller compared with shaking under first two control strategy, and waveform is smoother.Therefore, the control strategy that this patent proposes
Bandwidth can be increased and accelerate response speed, and the anti-interference ability of system can be improved.
Compare Fig. 6, Fig. 7 and Fig. 8 it is found that current on line side value exists in control target hereinafter, using SGSC+PID control strategy
Overshoot is larger when 0~0.06s, easily leads to converter saturation, and use Lyapunov control strategy and this paper control strategy without
Overshoot；In the case where controlling target two and three, the influence of three kinds of control strategies is similar.When selection control target four, the first control plan
Under slightly, when current on line side 0.35s, reaches relative equilibrium, under the control strategy that Lyapunov control is mentioned with the present invention when 0.32s
Just it has balanced, but individually two-phase drop current is respectively 15.5A, 15.9A in Lyapunov control strategy, not as the present invention
The control strategy of proposition equally reaches complete equipilibrium.Therefore, this patent control strategy is either in dynamic responding speed or steady
Qualitative aspect all has clear superiority.
Table 3 is active and reactive two multiplied frequency harmonics pulsation point when using three kinds of control strategies under four kinds of different control targets
The ratio table of amount and mean power.Fig. 9, Figure 10 are respectively the waveform of net side active power, reactive power under three kinds of control methods
Figure.By Fig. 9, Figure 10, the comparison of table 3 as it can be seen that in the case where controlling one~target of target four, compared to SGSC+PID control, Lyapunov
Control, regulating time, overshoot and harmonic content active and reactive under the SGSC+Lyapunov control strategy that is mentioned be more herein
It is small.Therefore, the net side power of the proposed control method of this patent is better than first two control method on control performance.
The ratio of the active and reactive two multiplied frequency harmonics flutter component and mean power of 3 three kinds of control methods of table
The above description is merely a specific embodiment, but scope of protection of the present invention is not limited thereto, any
The staff for being familiar with the art in the technical scope disclosed by the present invention, can readily occur in various equivalent modifications or replace
It changes, these modifications or substitutions should be covered by the protection scope of the present invention.Therefore, protection scope of the present invention should be with right
It is required that protection scope subject to.
Claims (5)
1. a kind of Lyapunov control method for coordinating of the DFIG using PGSC and SGSC, in unbalanced source voltage situation
Under coordinated control is carried out to the pusher side and grid side converter of DFIG, which is characterized in that this method DFIG rotor using RSC and
PGSC in parallel therewith, two converters are connected by intermediate DC bus with bulky capacitor, are increased in the stator side of DFIG
One series transformer and a SGSC, series transformer secondary tandem is between DFIG stator and power grid, the input terminal of SGSC
Connect with the input terminal of PGSC, the output end of SGSC connects series transformer primary by inductance L, this method to the pusher side of DFIG and
Grid side converter carry out coordinated control specific steps include：
1) to SGSC use the coordinated control based on Lyapunov, establish positive and negative sequence model, and calculate SGSC control target and
Current on line side reference value under difference control target；
2) SGSC top-cross flow component is controlled using PIR controller；
3) PGSC is controlled using Lyapunov controller；
4) RSC is controlled using inner ring Lyapunov control, outer ring PI control.
2. the Lyapunov control method for coordinating of DFIG using PGSC and SGSC according to claim 1 a kind of, special
Sign is, in step 1), the control target of SGSC is：
The positive-sequence component u of DFIG stator side voltages+With network voltage positive-sequence component ug+Always consistent, control stator side voltage negative phase-sequence
Component us-Make its zero, i.e.,：
Power grid transports to the instantaneous power S of PGSC under Voltage unbalance, is organized into matrix form and is：
In formula, subscript p, n respectively represent positive and negative sequence component, and subscript d, q represents dq axis component ,+,-respectively represent reference axis
Forward and backward direction,Respectively positive-sequence component is rotating forward the voltage on line side component on coordinate system d axis and q axis,Respectively negative sequence component is bearing the voltage on line side component turned on coordinate system d axis and q axis,Respectively
Positive-sequence component is rotating forward the current on line side component on coordinate system d axis and q axis,Respectively negative sequence component is rotating forward coordinate
Be the current on line side component on d axis and q axis, subscript g_av, g_sin2, g_cos2 respectively indicate PGSC power DC component,
Two frequency multiplication sinusoidal components, two frequency multiplication cosine components, P, Q are respectively active power, reactive power.
3. the Lyapunov control method for coordinating of DFIG using PGSC and SGSC according to claim 2 a kind of, special
Sign is that the control target of SGSC includes：
The electric current that target one, net side input is free of negative sequence component, i.e.,：
In formula, subscript * represents net side command current value, subscript series_av, series_sin2, series_cos2 generation respectively
The DC component of table SGSC power, two frequency multiplication sinusoidal components, two frequency multiplication cosine components；
Target two, net side input active power contain only DC component, i.e.,：
Pg_sin2-Pseries_sin2=0, Pg_cos2-Pseries_cos2=0
Wherein, D1、D2Expression formula be respectively：
If by ug+It is oriented to d axis, passes through regulated dc voltage UdcAdjuster guarantee voltage value without harmonic wave, system dc bus electricity
Holding instantaneous power is that PGSC instantaneous power subtracts the sum of instantaneous power of both RSC, SGSC, i.e.,：
In formula：Pg、PseriesThe respectively input power of PGSC, SGSC, PrFor the output power of rotor-side, C is DC bus
Capacitor；
U under the conditions of power grid operationdcInclude DC voltage average weight and wave component dUdc/ dt two parts, i.e.,：
Udc=Udc_av+dUdc/ dt=Udc_av+1/2ωUdc_av[(Pg_sin2-Pseries_sin2)+(Pg_cos2-Pseries_cos2)]
Target three, DC bus-bar voltage are free of two frequency multiplication sine udc_sin2, cosine component udc_cos2, i.e.,：
udc_sin2=udc_cos2=0
Target four, the reactive power of net side input contain only DC component, i.e.,：
Qg_sin2-Qseries_sin2=0, Qg_cos2-Qseries_cos2=0
4. the Lyapunov control method for coordinating of DFIG using PGSC and SGSC according to claim 1 a kind of, special
Sign is, in step 2), the transmission function that uses PIR controller to control SGSC top-cross flow component for：
In formula：KpAnd KiRespectively proportionality coefficient, integral coefficient；KrFor the resonance coefficient of resonant regulator；ωcFor cutoff frequency.
5. the Lyapunov control method for coordinating of DFIG using PGSC and SGSC according to claim 3 a kind of, special
Sign is that the particular content of step 3) is：
Net side Lyapunov positive sequence model is：
In formula, ω is electrical network angular frequency, LgFor the inductance of filter reactor, RgFor on route impedance and inductance equivalent series electricity
The sum of resistance, and：
In formula, x1、x2The respectively actual value and instruction value of positive-sequence component net side current component on rotating forward coordinate system d axis, q axis
Between difference, x3The difference between the actual value and instruction value of DC bus-bar voltage, udc、Respectively DC bus-bar voltage
Actual value, instruction value, Sd、Δ d is respectively the actual value of d axis switch function, instruction value and difference between the two, Sq、Δ q is respectively the actual value of q axis switch function, instruction value and difference between the two；
Constructing Lyapunov function energy function is：
The derivative of Lyapunov function energy function is：
When x is non-zero, V (x) > 0, dV (x)/dt > 0, it is assumed that：
In formula, β1、β2For proportionality coefficient, ignore ripple, then the undulating value of switch function is taken as：
In formula, α1、α2Respectively two proportionality coefficients, dV (x)/dt are represented by：
In formula：
Enable z3=m1z1=m2z2, and m1、m2>0, then it can obtain：
In formula, λ1min(r1,β1,m1) > 0 be about independent variable m1Quadratic function, λ2min(r2,β2,m2) > 0 be about independent variable
m2Quadratic function；
When taking m1(0)=(1+ β1)/(2β1) when：
λ1min(r1,β1,m1)=Rg+r1[1-(1+β1)2/(4β1)]
It can similarly obtain, when taking m2(0)=(1+ β2)/(2β2) when：
λ2min(r2,β2,m2)=Rg+r2[1-(1+β2)2/(4β2)]
WhenWhen, λ1min(r1,β1,m1) establishment of > 0, β0=1+2Rg/r1；
Indeterminacy section 1- ε < β desired for one1< 1+ ε, 1- ε < β2< 1+ ε, and It can then derive α1、α2Value range be：
Then releasing positive sequence control is：
Negative phase-sequence control, which can similarly be released, is：
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