CN107681698A - Double-fed fan motor rotor string resistance low voltage traversing control method based on power optimization - Google Patents

Double-fed fan motor rotor string resistance low voltage traversing control method based on power optimization Download PDF

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CN107681698A
CN107681698A CN201711135475.1A CN201711135475A CN107681698A CN 107681698 A CN107681698 A CN 107681698A CN 201711135475 A CN201711135475 A CN 201711135475A CN 107681698 A CN107681698 A CN 107681698A
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msub
mrow
mfrac
rotor
stator
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CN107681698B (en
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张文娟
吴宏歧
韩芝侠
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Baoji University of Arts and Sciences
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    • H02J3/386—
    • 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
    • H02J2203/00—Indexing scheme relating to details of circuit arrangements for AC mains or AC distribution networks
    • H02J2203/20—Simulating, e g planning, reliability check, modelling or computer assisted design [CAD]
    • 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

Abstract

The invention discloses a kind of double-fed fan motor rotor string resistance low voltage traversing control method based on power optimization, according to the feedforward control of grid voltage sags depth, change double feedback electric engine active power set-point in real time, and then fast and effeciently control the power output during double feedback electric engine low voltage crossing, realize the low power-balance for wearing period rotor current transformer both sides, suppress DC bus-bar voltage rise, stator and rotor current over pulse, i.e. while need not add additional hardware equipment, safe and stable, the no-voltage that realize system substantially pass through operation；Using the controllability of double feedback electric engine during rotor string resistance low voltage crossing, in the case where ensuring that system is stable and rotor current transformer electric current is not out-of-limit, reactive power support as much as possible is provided for power network, promotes the fast quick-recovery of electric network fault voltage.Beneficial effects of the present invention also reside in the cost for the system of reducing, and have certain engineering practicability.

Description

Double-fed fan motor rotor string resistance low voltage traversing control method based on power optimization
Technical field
The present invention relates to electronic technology field, more particularly to a kind of double-fed fan motor rotor string resistance based on power optimization are low Voltage ride-through control method.
Background technology
Speed-varying frequency constant dual feedback wind power generation machine is to be commercialized a kind of most commonly used wind-driven generator at present, as installation is held The design feature increased with itself of amount, modern electric code requirement Wind turbines cause set end voltage to fall in outside electric network fault When falling, the uninterrupted ability that is incorporated into the power networks still with certain time, that is, possess low voltage crossing (Low Voltage Ride Though, LVRT) ability.The LVRT controls of double feedback electric engine (Doubly-fed induction generator, DFIG) at present Strategy can be divided into 3 classes：Hardware modifications measure, software corrective measure and hardware and software combination comprehensive innovative approach.
In terms of hardware modifications, industry spot adds suitable crow bar protection circuit frequently with the rotor-side in double feedback electric engine Suppress the rotor current transformer overcurrent during LVRT.This method not only increases cost, and DFIG is in out of control during LVRT State, it is impossible to which the reactive current that grid voltage sags recover required is provided in time.Document《Using the double-fed wind of stator series impedance Group of motors low-voltage active crossing technology research》(Proceedings of the CSEE, 2015,35 (12)：2943-2951) use stator The mode of series impedance realizes LVRT, but does not account for stator series reactance and DFIG electromagnetic torque oscillatory processes are born Face rings.Document《Double-fed wind power generator low voltage crossing based on rotor inline resistance》(Electric Power Automation Equipment, 2015, 35(12)：A kind of rotor inline resistance low voltage crossing power coordination control strategy 28-33) is proposed, in optimization rotor resistance value While, double feedback electric engine is operated in reactive power support pattern, certain lagging reactive power is preferentially exported to power network, so as to help In the fast quick-recovery of line voltage.
In terms of software corrective measure：In order to reduce rotor overcurrent, existing document is according to " current regulator-RSC- The transmission function of DFIG models ", it is proposed that the LVRT schemes of virtual impedance, but it is smaller to be only applicable to grid voltage sags amplitude Situation.
The comprehensive innovative approach that hardware and software combines on the one hand using suppressing rotor current by the way of the stator series reactance, On the other hand the negative of electromagnetic torque duration of oscillation extension is caused to offset stator series reactance by improved RSC control strategies Influence, and the reactive-load compensation target in RSC controls during additional fault, to give full play to the idle output energy of DFIG stator sides Power, achieve preferable LVRT effects.
Summary theoretical research result, its common ground are how to reduce excess energy caused by LVRT, i.e., how will In additional hardware circuit and software lower control limit system in safe range, this is for overvoltage, overcurrent during LVRT A kind of passive protected mode, it is not based on the input and output energy injustice for reducing LVRT from source and bringing DFIG of essence Weighing apparatus.
The content of the invention
For drawbacks described above or deficiency, it is an object of the invention to provide a kind of double-fed fan motor rotor based on power optimization String resistance low voltage traversing control method.
To achieve the above objectives, the technical scheme is that：
A kind of double-fed fan motor rotor string resistance low voltage traversing control method based on power optimization, including：
The first step, in three-phase ABC establishment of coordinate system DFIG mathematical modelings：
In formula：us、urRespectively stator and rotor voltage vector；is、irRespectively stator and rotor current phasor；ψs、ψrRespectively Stator and rotor flux linkage vector；Ls, LrFor stator and rotor self-induction；LmFor mutual inductance；Rs、RrRespectively stator and rotor resistance parameters；ωsFor synchro angle Speed；ωrFor rotor velocity；
Second step, simulated failure occurs in DFIG mathematical modelings, and can not be dashed forward according to front and rear DFIG stator magnetic linkages are fallen The principle of change, stator magnetic linkage transient expression formula is during obtaining being out of order：
In formula：
3rd step, according to formula (3) analyze, on rotor string resistance low voltage crossing architecture basics, utilize double feedback electric engine Controllability, when line voltage falls failure, to DFIG control active power set-point optimize, in wattful power Increase the optimized amount P of grid voltage sags depth in rate1 *, reduce active power set-point so that DFIG input energies during LVRT Amount reduces.
Also include the 4th step：Transient reactive power is optimized, reactive power is conveyed to power network, to rotor string resistance structure Rotor referenced reactive current limit value is during transient power optimization LVRT：
Wherein, min { } expressions take minimum value between taking three.
3rd step is when line voltage falls failure, on rotor string resistance low voltage crossing architecture basics, Using the controllability of double feedback electric engine, the active power set-point of DFIG controls is optimized, increases power network in active power The optimized amount P of Voltage Drop depth1 *Specifically include：
P1 *=P1-max-PLVRT (5)
Wherein, P1-maxFor the performance number being calculated according to maximal wind-energy capture, PLVRTFor reflection grid voltage sags Dynamic power feedforward amount.
When amplitude of falling is no more than 10%, LVRT dynamic power feedforward amounts PLVRTFor 0, stator active power gives P1 *Protect Hold the maximal wind-energy capture value P before failure1-maxIt is constant；When Voltage Drop to 0.9U0When following, dynamic power feedforward amount PLVRTGreatly In 0, stator active power gives P1 *Equivalent in P1-maxOn the basis of reduce PLVRT, after being adjusted by PI, the active electricity of stator Flow set-point iqs *Reduce, rotor watt current set-point iqr *Reduce, balance DFIG input-output powers.
Second step simulated failure in DFIG mathematical modelings occurs, and can not according to front and rear DFIG stator magnetic linkages are fallen The principle of mutation, stator magnetic linkage transient expression formula specifically includes during obtaining being out of order：
Stator voltage amplitude is u when the 2.1st, setting steady-state operation0, it is assumed that pair that drop depth is P occurs for power network during t=0 Claim failure, then fall front and rear stator voltage and be written as：
2.2nd, according to the relation of magnetic linkage and voltage, ignore stator resistance, then according to formula (1), stator stable state magnetic before and after failure Chain is：
2.3rd, rotor open circuit, i.e. i are assumedr=0, can obtain the stator magnetic linkage differential equation according to formula (1) and formula (2) is：
Before and after grid voltage sags, stator magnetic linkage can not be mutated principle, and the solution of the said stator magnetic linkage differential equation can Two parts are decomposed into, a part is the stator magnetic linkage component rotated with synchronous speed, and amplitude size is determined by stator voltage amplitude；Separately A part for stator voltage fall suddenly caused by stator magnetic linkage DC component, the DC component in space remains stationary, and with Time constant decays, and convolution (7), show that stator magnetic linkage transient expression formula is during failure：
OrderStator magnetic linkage in formula (2) is substituted into rotor flux, it is as follows to obtain (10) formula：
The 2.4 rotor voltage equations for substituting into stator magnetic linkage transient expression formula (9) during failure and formula (10) in formula (1), Obtain the differential equation of first order on rotor voltage
And then when drawing grid entry point Voltage Drop, the Expression formula that rotor current rises sharply is：
Compared with the prior art, beneficial effects of the present invention are：
The invention provides a kind of double-fed fan motor rotor string resistance low voltage traversing control method based on power optimization, pin Double-fed wind generating rotor string resistance low voltage crossing is controlled, proposes a kind of double feedback electric engine LVRT based on dynamic power optimization Control strategy, i.e., according to grid voltage sags depth feedforward dynamic reduce LVRT during DFIG active power set-point, from Reduce the input and output energy imbalance that LVRT brings DFIG on source, and then fast and effeciently control double feedback electric engine low-voltage is worn Power output during more, the low power-balance for wearing period rotor current transformer both sides is realized, suppresses DC bus-bar voltage rise, Stator and rotor current over pulse, i.e., while need not add additional hardware equipment, realize substantially system it is safe and stable, zero Voltage ride-through is run；Using the controllability of double feedback electric engine during rotor string resistance low voltage crossing, ensuring that system is stable and turns In the case that sub- current transformer electric current is not out-of-limit, reactive power support as much as possible is provided for power network, promotes electric network fault voltage quick Recover.Beneficial effects of the present invention also reside in the cost for the system of reducing, and have certain engineering practicability.
Brief description of the drawings
Fig. 1 is that the present invention is based on double-fed fan motor unit rotor string resistance structural frames used by transient power optimization method Figure；
Fig. 2 is the transient power optimal control block diagram of the present invention；
Fig. 3 a are using grid voltage sags after transient power optimization method of the invention to DC bus-bar voltage when 50% Experimental waveform figure；
Fig. 3 b are using grid voltage sags after transient power optimization method of the invention to stator active power when 50% Experimental waveform figure；
Fig. 3 c are using grid voltage sags after transient power optimization method of the invention to stator reactive power when 50% Experimental waveform figure；
Fig. 3 d are to be tested using grid voltage sags after transient power optimization method of the invention to stator current when 50% Oscillogram；
Fig. 3 e are to be tested using grid voltage sags after transient power optimization method of the invention to rotor current when 50% Oscillogram；
Fig. 4 a are using grid voltage sags after transient power optimization method of the invention to DC bus-bar voltage when 50% Experimental waveform figure；
Fig. 4 b are using grid voltage sags after transient power optimization method of the invention to stator active power when 50% Experimental waveform figure；
Fig. 4 c are using grid voltage sags after transient power optimization method of the invention to stator reactive power when 50% Experimental waveform figure；
Fig. 4 d are to be tested using grid voltage sags after transient power optimization method of the invention to stator current when 50% Oscillogram；
Fig. 4 e are to be tested using grid voltage sags after transient power optimization method of the invention to rotor current when 50% Oscillogram.
Embodiment
The present invention is described in detail below in conjunction with accompanying drawing, it is clear that described embodiment is only the present invention one Divide embodiment, rather than whole embodiments.Based on the embodiment in the present invention, those of ordinary skill in the art are not making The every other embodiment obtained under the premise of creative work, belongs to protection scope of the present invention.
Double-fed fan motor rotor string resistance low voltage ride through control system provided by the invention based on transient power optimization Structure is as shown in figure 1, wherein, LsFor net side filter inductance, LrFor rotor-side filter inductance, C is dc-link capacitance, VdcTo be straight Flow busbar voltage, RchFor DC side-discharging resistance, RrsThe bypass current-limiting resistance gone here and there by rotor.The change being joined directly together with rotor Stream device is referred to as rotor-side converter (rotor side converter, abbreviation RSC), its rotor-end by controlling feed-in DFIG Voltage, realize the regulation to DFIG stator terminals active power of output and reactive power.Another current transformer is referred to as net side current transformer (grid side converter, abbreviation GSC), is connected by dc bus with rotor-side converter, its AC and three-phase electricity Net is connected, and maintains DC bus-bar voltage constant, and provide certain reactive power support to power network.
The invention provides a kind of double-fed fan motor rotor string resistance low voltage traversing control method based on power optimization, bag Include：
The first step, in three-phase ABC establishment of coordinate system DFIG mathematical modelings：
In formula：us、urRespectively stator and rotor voltage vector；is、irRespectively stator and rotor current phasor； ψs、ψrRespectively Stator and rotor flux linkage vector；Ls, LrFor stator and rotor self-induction；LmFor mutual inductance；Rs、RrRespectively stator and rotor resistance parameters；ωsFor synchro angle Speed；ωrFor rotor velocity；
Second step, theory analysis is carried out to rotor current mutation mechanism during failure：
Simulated failure occurs in DFIG mathematical modelings, and the original that can not be mutated according to front and rear DFIG stator magnetic linkages are fallen Then, stator magnetic linkage transient expression formula is during obtaining being out of order：
In formula：
Specifically include：
Stator voltage amplitude is u when the 2.1st, setting steady-state operation0, it is assumed that pair that drop depth is P occurs for power network during t=0 Claim failure, then fall front and rear stator voltage and be written as：
2.2nd, according to the relation of magnetic linkage and voltage, ignore stator resistance, then according to formula (1), stator stable state magnetic before and after failure Chain is：
2.3rd, rotor open circuit, i.e. i are assumedr=0, can obtain the stator magnetic linkage differential equation according to formula (1) and formula (2) is：
Before and after grid voltage sags, stator magnetic linkage can not be mutated principle, and the solution of the said stator magnetic linkage differential equation can Two parts are decomposed into, a part is the stator magnetic linkage component rotated with synchronous speed, and amplitude size is determined by stator voltage amplitude；Separately A part for stator voltage fall suddenly caused by stator magnetic linkage DC component, the DC component in space remains stationary, and with Time constant decays, and convolution (7), show that stator magnetic linkage transient expression formula is during failure：
OrderStator magnetic linkage in formula (2) is substituted into rotor flux, it is as follows to obtain (10) formula：
2.4th, the rotor voltage equation for substituting into stator magnetic linkage transient expression formula (9) during failure and formula (10) in formula (1), Obtain the differential equation of first order on rotor voltage
And then when drawing grid entry point Voltage Drop, the Expression formula that rotor current rises sharply is：
It was found from (3) formula, during LVRT, rate of change and rotor voltage, rotor velocity, rotor electricity that rotor current rises sharply The size of resistance is relevant.As shown in figure 1, using the double-fed fan motor unit structure of rotor string resistance as shown in figure 1, wherein, RrsTo turn The current-limiting resistance that son is gone here and there, bypass current-limiting resistance.Before grid voltage sags, thyristor bypass switch conducting, RrsIt is bypassed；Therefore After barrier occurs, IGCT shut-off, RrsIt is series at the rotor current that rotor-side limitation rises sharply.
3rd step, according to formula (3) analyze, rotor-side increase rotor string resistance structure, the rotor string resistance structure Including：IGCT and the current-limiting resistance R with rotor inliners, before grid voltage sags, thyristor bypass switch conducting, Rrs It is bypassed；After failure occurs, IGCT shut-off, RrsIt is series at the rotor current that rotor-side limitation rises sharply；
4th step, transient power optimization low voltage crossing control strategy：
When line voltage falls failure, on rotor string resistance low voltage crossing architecture basics, duplex feeding is utilized The controllability of machine, is optimized to the active power set-point of DFIG controls, and it is deep to increase grid voltage sags in active power The optimized amount P of degree1 *, reduce active power set-point so that DFIG input energies reduce during LVRT.
Above-mentioned theory analysis shows, during LVRT, except rotor resistance RrsOutside, the rate of change that rotor current rises sharply is also with turning Sub- voltage urAnd rotor velocity ωrIt is relevant.On the one hand, DFIG rotating speed depend on wind energy conversion system input power and DFIG it is defeated Go out the difference of power, for rotor string resistance LVRT, double-feed current transformer and DFIG are in normal operating conditions during steady-state operation, Therefore, DFIG controls use stator-flux-oriented vector control, i.e. power outer shroud, the control mode of current inner loop, and be mostly Utilize wind energy, the set-point P of active power to greatest extent1 *Generally remain in maximal wind-energy capture power points.Work as line voltage When falling generation, wind energy conversion system and DFIG input active power keep constant, but DFIG power output delivers to having for power network Work(power is reduced, and imbalance power difference between the two causes DFIG rotational speed omegasrRise, understood according to (3) formula, ωrRise increase Rotor current rises sharply rate.Meanwhile also because energy imbalance causes the DC bus-bar voltage liter of centre between double-feed current transformer It is high.On the other hand, it can be seen from DFIG stator-flux-oriented vector control Algorithm Analysis, after realizing active and reactive power decoupling, The active and reactive power that the active and reactive component of rotor current is respectively depending on DFIG gives.In the rotor string resistance LVRT phases Between, if active power set-point remains at maximal wind-energy capture point, this undoubtedly increases rotor current during failure.
In summary, during rotor string resistance LVRT, the active power set-point of reply DFIG controls optimizes, and then The generation of LVRT surplus powers is reduced from source, so as to suppress rotor overcurrent and dc bus overvoltage.
The main thought of transient power system optimizing control is：When line voltage falls failure, in order to as far as possible Maintenance power-balance, DFIG active power is given can not keep again before maximum it is constant, consider on the basis of set-point On, increase an optimized amount related to grid voltage sags depth, actively reduce active power set-point, and then reduce LVRT Period DFIG input energy.Rotor string resistance transient power Optimal Control Strategy is as shown in Figure 2.
Increase the optimized amount P of grid voltage sags depth in network system1 *Specifically include：
P1 *=P1-max-PLVRT (5)
Wherein, P1-maxFor the performance number being calculated according to maximal wind-energy capture, PLVRTFor reflection grid voltage sags Dynamic power feedforward amount.
After DFIG uses stator-flux-oriented vector control algorithm, the stator watt current i under d, q coordinate systemqs, idle electricity Flow idsRealize uneoupled control.The variable quantity of power during LVRT is reflected into the falling in amplitude of voltage, grid voltage sags Value and voltage magnitude U during normal operation0Compare, when amplitude of falling is no more than 10%, LVRT dynamic power feedforward amounts PLVRT For 0, stator active power gives P1 *Keep the maximal wind-energy capture value P before failure1-maxIt is constant；When Voltage Drop to 0.9U0With When lower, dynamic power feedforward amount PLVRTMore than 0, stator active power gives P1 *Equivalent in P1-maxOn the basis of reduce PLVRT, after being adjusted by PI, stator watt current set-point iqs *Reduce, rotor watt current set-point iqr *Reduce, so as to reach To the purpose of balance DFIG input-output powers, rotor current amplitude and DC bus-bar voltage rise during reducing LVRT are played Effect.
5th step, transient reactive power Optimal Control Strategy：
Transient reactive power is optimized, reactive power is conveyed to power network, the transient power of rotor string resistance structure is optimized Rotor referenced reactive current limit value is during LVRT：
Wherein, min { } expressions take minimum value between taking three.
Specific method is：
According to above-mentioned prioritization scheme, if the current limliting higher limit of rotor current transformer is Irotor-max, then the rotor after optimizing is idle Given value of current value idr *Following condition should be met：
Access electric power network technique regulation in large-scale wind power field requires：DFIG should convey certain idle work(to power network during LVRT Rate is to promote the fast quick-recovery of faulty grids.On request, DFIG stators reactive current set-point i during failureds *It should meet as follows Formula：
Obtained according to Fig. 2
The idle size sent is also considered as DFIG Transient Stability Constraints.According to Liapunov's stability criterion, protect The necessary condition for holding DFIG transient stabilities is
Composite type (12), (14), (15), it is idle that rotor during the transient power based on rotor string resistance optimizes LVRT can be obtained Current-order limit value is
Wherein, min { } expressions take minimum value between taking three.
In order to verify the method for the present invention, to the dual feedback wind power generation system rotor based on transient power optimization of the present invention String resistance LVRT control methods carry out experimental verification, specific as follows：
On the basis of double-fed wind generating analog platform and impedance type voltage falling generator, carried out the present invention based on Transient power Optimal Experimental is studied.
Double-fed generator rated power P=10KW；Number of pole-pairs np=3；Frequency f=50Hz；Stator bind mode Y connects, electricity Hinder Rs=0.7 Ω；Ls=2.1mH；Rotor bind mode Y connects, after converting stator side, resistance Rr=0.59 Ω；Lr=4.1m； Mutual inductance Lm=72.6mH, DC bus-bar voltage Udc=690V.Using homemade impedance type voltage falling generator simulating grid electricity Pressure falls failure, and DFIG rotating speeds are 917r/min, stator side active power of output 8.5KW before failure.PI- in grid voltage sags LVRT parameter is KpL=0.251, KiL=1.524.System control uses Ti companies DSP TMS320F28335 chips to realize, Experimental waveform is captured by the oscillographs of Tek companies DPO 3054.
Fig. 3 and Fig. 4 respectively illustrates 50% and 30% before grid voltage sags to failure, trouble duration 625ms When DC bus-bar voltage, stator and rotor active and reactive power, the experimental waveform of stator and rotor reactive power.As can be seen that rotor During string resistance transient power optimization LVRT, due to dynamically reducing the active power of DFIG inputs, therefore DC bus-bar voltage Only fluctuated in Voltage Drop and recovery, fluctuating range maximum is no more than 7% during steady-state operation.Fig. 3 (b), (c) and Fig. 4 (b), (c) show that DFIG stators send out active and reactive power experimental waveform.As can be seen that before active power is by failure Maximal wind-energy capture value 8.5KW is down to 5.5KW and 4.5KW or so respectively, and reactive power is increased to respectively by 0Kvar before 2Kvar and 3.5Kvar or so, do not occur in false voltage recovery process it is secondary fall situation, this explanation rotor string resistance is temporary State power control strategy has been stiff to provide the reactive power support needed for power network during LVRT, has promoted the quick of electric network fault voltage Recover.((d), (e) give stator and rotor Current experiments waveform during LVRT by Fig. 3 (d), (e) and Fig. 4.As can be seen that with electricity Press the increase of drop depth, dynamically reduce DFIG active power set-point, therefore, stator and rotor rush of current not less than 1.1 times of specified limit value, have ensured the safety of current transformer.
It is obvious to a person skilled in the art that it will appreciate that above-mentioned specific embodiment is the preferred side of the present invention Case, therefore improvement, the variation that those skilled in the art may make to some parts in the present invention, embodiment is still this The principle of invention, realization is still the purpose of the present invention, belongs to the scope that the present invention is protected.

Claims (4)

  1. A kind of 1. double-fed fan motor rotor string resistance low voltage traversing control method based on power optimization, it is characterised in that including：
    The first step, in three-phase ABC establishment of coordinate system DFIG mathematical modelings：
    <mrow> <mfenced open = "{" close = ""> <mtable> <mtr> <mtd> <mrow> <msub> <mi>u</mi> <mi>s</mi> </msub> <mo>=</mo> <msub> <mi>R</mi> <mi>s</mi> </msub> <msub> <mi>i</mi> <mi>s</mi> </msub> <mo>+</mo> <mfrac> <mrow> <msub> <mi>d&amp;psi;</mi> <mi>s</mi> </msub> </mrow> <mrow> <mi>d</mi> <mi>t</mi> </mrow> </mfrac> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <msub> <mi>u</mi> <mi>r</mi> </msub> <mo>=</mo> <msub> <mi>R</mi> <mi>r</mi> </msub> <msub> <mi>i</mi> <mi>r</mi> </msub> <mo>+</mo> <mfrac> <mrow> <msub> <mi>d&amp;psi;</mi> <mi>r</mi> </msub> </mrow> <mrow> <mi>d</mi> <mi>t</mi> </mrow> </mfrac> <mo>-</mo> <msub> <mi>j&amp;omega;</mi> <mi>r</mi> </msub> <msub> <mi>&amp;psi;</mi> <mi>r</mi> </msub> </mrow> </mtd> </mtr> </mtable> </mfenced> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>1</mn> <mo>)</mo> </mrow> </mrow>
    <mrow> <mfenced open = "{" close = ""> <mtable> <mtr> <mtd> <mrow> <msub> <mi>&amp;psi;</mi> <mi>s</mi> </msub> <mo>=</mo> <msub> <mi>L</mi> <mi>s</mi> </msub> <msub> <mi>i</mi> <mi>s</mi> </msub> <mo>+</mo> <msub> <mi>L</mi> <mi>m</mi> </msub> <msub> <mi>i</mi> <mi>r</mi> </msub> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <msub> <mi>&amp;psi;</mi> <mi>r</mi> </msub> <mo>=</mo> <msub> <mi>L</mi> <mi>m</mi> </msub> <msub> <mi>i</mi> <mi>s</mi> </msub> <mo>+</mo> <msub> <mi>L</mi> <mi>r</mi> </msub> <msub> <mi>i</mi> <mi>r</mi> </msub> </mrow> </mtd> </mtr> </mtable> </mfenced> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>2</mn> <mo>)</mo> </mrow> </mrow>
    In formula：us、urRespectively stator and rotor voltage vector；is、irRespectively stator and rotor current phasor；ψs、ψrRespectively determine, turn Sub- flux linkage vector；Ls, LrFor stator and rotor self-induction；LmFor mutual inductance；Rs、RrRespectively stator and rotor resistance parameters；ωsFor synchronous angular velocity； ωrFor rotor velocity；
    Second step, simulated failure occurs in DFIG mathematical modelings, and according to falling what front and rear DFIG stator magnetic linkages can not be mutated Principle, stator magnetic linkage transient expression formula is during obtaining being out of order：
    <mrow> <msub> <mi>&amp;sigma;L</mi> <mi>r</mi> </msub> <mfrac> <mrow> <msub> <mi>di</mi> <mi>r</mi> </msub> </mrow> <mrow> <mi>d</mi> <mi>t</mi> </mrow> </mfrac> <mo>=</mo> <msub> <mi>u</mi> <mi>r</mi> </msub> <mo>-</mo> <mfrac> <msub> <mi>L</mi> <mi>m</mi> </msub> <msub> <mi>L</mi> <mi>s</mi> </msub> </mfrac> <mrow> <mo>(</mo> <mfrac> <mi>d</mi> <mrow> <mi>d</mi> <mi>t</mi> </mrow> </mfrac> <mo>-</mo> <msub> <mi>j&amp;omega;</mi> <mi>r</mi> </msub> <mo>)</mo> </mrow> <msub> <mi>&amp;psi;</mi> <mi>s</mi> </msub> <mo>-</mo> <msub> <mi>R</mi> <mi>r</mi> </msub> <msub> <mi>i</mi> <mi>r</mi> </msub> <mo>+</mo> <msub> <mi>j&amp;sigma;L</mi> <mi>r</mi> </msub> <msub> <mi>&amp;omega;</mi> <mi>r</mi> </msub> <msub> <mi>i</mi> <mi>r</mi> </msub> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>3</mn> <mo>)</mo> </mrow> </mrow>
    In formula：
    3rd step, according to formula (3) analyze, when line voltage falls failure, in rotor string resistance low voltage crossing knot On the basis of structure, using the controllability of double feedback electric engine, the active power set-point of DFIG controls is optimized, in active power Increase the optimized amount P of grid voltage sags depth1 *, reduce active power set-point so that DFIG input energies subtract during LVRT It is small.
  2. 2. the double-fed fan motor rotor string resistance low voltage traversing control method according to claim 1 based on power optimization, Characterized in that, also include the 4th step：Transient reactive power is optimized, reactive power is conveyed to power network, to rotor string resistance knot Rotor referenced reactive current limit value is during the transient power optimization LVRT of structure：
    <mrow> <mo>|</mo> <msub> <mi>i</mi> <mrow> <mi>d</mi> <mi>r</mi> <mo>-</mo> <mi>m</mi> <mi>a</mi> <mi>x</mi> </mrow> </msub> <mo>|</mo> <mo>=</mo> <mi>m</mi> <mi>i</mi> <mi>n</mi> <mo>{</mo> <msqrt> <mrow> <msubsup> <mi>I</mi> <mrow> <mi>r</mi> <mi>o</mi> <mi>t</mi> <mi>o</mi> <mi>r</mi> <mo>-</mo> <mi>m</mi> <mi>a</mi> <mi>x</mi> </mrow> <mn>2</mn> </msubsup> <mo>-</mo> <msubsup> <mi>i</mi> <mrow> <mi>q</mi> <mi>r</mi> </mrow> <mrow> <mo>*</mo> <mn>2</mn> </mrow> </msubsup> </mrow> </msqrt> <mo>,</mo> <mn>1.5</mn> <mfrac> <msub> <mi>L</mi> <mi>s</mi> </msub> <msub> <mi>L</mi> <mi>m</mi> </msub> </mfrac> <mrow> <mo>(</mo> <mn>0.9</mn> <mo>-</mo> <msub> <mi>U</mi> <mn>0</mn> </msub> <mo>)</mo> </mrow> <mo>,</mo> <mfrac> <mrow> <mn>2</mn> <msub> <mi>U</mi> <mn>0</mn> </msub> </mrow> <mrow> <msub> <mi>&amp;omega;</mi> <mi>s</mi> </msub> <msub> <mi>L</mi> <mi>m</mi> </msub> </mrow> </mfrac> <mo>}</mo> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>4</mn> <mo>)</mo> </mrow> </mrow>
    Wherein, min { } expressions take minimum value between taking three.
  3. 3. the double-fed fan motor rotor string resistance low voltage traversing control method according to claim 1 based on power optimization, Characterized in that, the 3rd step is when line voltage falls failure, in rotor string resistance low voltage crossing architecture basics On, using the controllability of double feedback electric engine, the active power set-point of DFIG controls is optimized, increases electricity in active power The optimized amount P of net Voltage Drop depth1 *Specifically include：
    P1 *=P1-max-PLVRT (5)
    Wherein, P1-maxFor the performance number being calculated according to maximal wind-energy capture, PLVRTTo reflect the dynamic of grid voltage sags Power feedforward amount.
    When amplitude of falling is no more than 10%, LVRT dynamic power feedforward amounts PLVRTFor 0, stator active power gives P1 *Keep event Maximal wind-energy capture value P before barrier1-maxIt is constant；When Voltage Drop to 0.9U0When following, dynamic power feedforward amount PLVRTMore than 0, Stator active power gives P1 *Equivalent in P1-maxOn the basis of reduce PLVRT, after being adjusted by PI, stator watt current is given Definite value iqs *Reduce, rotor watt current set-point iqr *Reduce, balance DFIG input-output powers.
  4. 4. the double-fed fan motor rotor string resistance low voltage traversing control method according to claim 1 based on power optimization, Characterized in that, second step simulated failure in DFIG mathematical modelings occurs, and according to falling front and rear DFIG stator magnetic linkages The principle that can not be mutated, stator magnetic linkage transient expression formula specifically includes during obtaining being out of order：
    Stator voltage amplitude is u when the 2.1st, setting steady-state operation0, it is assumed that the symmetrical event that drop depth is P occurs for power network during t=0 Barrier, then fall front and rear stator voltage and be written as：
    <mrow> <msub> <mi>u</mi> <mi>s</mi> </msub> <mo>=</mo> <mfenced open = "{" close = ""> <mtable> <mtr> <mtd> <mrow> <msub> <mi>u</mi> <mn>0</mn> </msub> <msup> <mi>e</mi> <mrow> <msub> <mi>j&amp;omega;</mi> <mi>s</mi> </msub> <mi>t</mi> </mrow> </msup> </mrow> </mtd> <mtd> <mrow> <mi>t</mi> <mo>&lt;</mo> <msub> <mi>t</mi> <mn>0</mn> </msub> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <mo>(</mo> <mn>1</mn> <mo>-</mo> <mi>p</mi> <mo>)</mo> <msub> <mi>u</mi> <mn>0</mn> </msub> <msup> <mi>e</mi> <mrow> <msub> <mi>j&amp;omega;</mi> <mi>s</mi> </msub> <mi>t</mi> </mrow> </msup> </mrow> </mtd> <mtd> <mrow> <mi>t</mi> <mo>&amp;GreaterEqual;</mo> <msub> <mi>t</mi> <mn>0</mn> </msub> </mrow> </mtd> </mtr> </mtable> </mfenced> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>6</mn> <mo>)</mo> </mrow> </mrow>
    2.2nd, according to the relation of magnetic linkage and voltage, stator resistance is ignored, then according to formula (1), stator stable state magnetic linkage is before and after failure：
    <mrow> <msub> <mi>&amp;psi;</mi> <mrow> <mi>s</mi> <mi>f</mi> </mrow> </msub> <mo>=</mo> <mfenced open = "{" close = ""> <mtable> <mtr> <mtd> <mfrac> <mrow> <msub> <mi>u</mi> <mn>0</mn> </msub> <msup> <mi>e</mi> <mrow> <msub> <mi>j&amp;omega;</mi> <mi>s</mi> </msub> <mi>t</mi> </mrow> </msup> </mrow> <mrow> <msub> <mi>j&amp;omega;</mi> <mi>s</mi> </msub> </mrow> </mfrac> </mtd> <mtd> <mrow> <mi>t</mi> <mo>&lt;</mo> <msub> <mi>t</mi> <mn>0</mn> </msub> </mrow> </mtd> </mtr> <mtr> <mtd> <mfrac> <mrow> <mo>(</mo> <mn>1</mn> <mo>-</mo> <mi>p</mi> <mo>)</mo> <msub> <mi>u</mi> <mn>0</mn> </msub> <msup> <mi>e</mi> <mrow> <msub> <mi>j&amp;omega;</mi> <mi>s</mi> </msub> <mi>t</mi> </mrow> </msup> </mrow> <mrow> <msub> <mi>j&amp;omega;</mi> <mi>s</mi> </msub> </mrow> </mfrac> </mtd> <mtd> <mrow> <mi>t</mi> <mo>&amp;GreaterEqual;</mo> <msub> <mi>t</mi> <mn>0</mn> </msub> </mrow> </mtd> </mtr> </mtable> </mfenced> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>7</mn> <mo>)</mo> </mrow> </mrow>
    2.3rd, rotor open circuit, i.e. i are assumedr=0, can obtain the stator magnetic linkage differential equation according to formula (1) and formula (2) is：
    <mrow> <mfrac> <mrow> <msub> <mi>d&amp;psi;</mi> <mi>s</mi> </msub> </mrow> <mrow> <mi>d</mi> <mi>t</mi> </mrow> </mfrac> <mo>=</mo> <msub> <mi>u</mi> <mi>s</mi> </msub> <mo>-</mo> <mfrac> <msub> <mi>R</mi> <mi>s</mi> </msub> <msub> <mi>L</mi> <mi>s</mi> </msub> </mfrac> <msub> <mi>&amp;psi;</mi> <mi>s</mi> </msub> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>8</mn> <mo>)</mo> </mrow> </mrow>
    Before and after grid voltage sags, stator magnetic linkage can not be mutated principle, the solution decomposable asymmetric choice net of the said stator magnetic linkage differential equation For two parts, a part is the stator magnetic linkage component rotated with synchronous speed, and amplitude size is determined by stator voltage amplitude；Another portion Be divided into stator voltage fall suddenly caused by stator magnetic linkage DC component, the DC component is in space remains stationary, and with the time Constant attenuation, convolution (7), show that stator magnetic linkage transient expression formula is during failure：
    <mrow> <msub> <mi>&amp;psi;</mi> <mi>s</mi> </msub> <mo>=</mo> <mfrac> <mrow> <mo>(</mo> <mn>1</mn> <mo>-</mo> <mi>p</mi> <mo>)</mo> <msub> <mi>u</mi> <mn>0</mn> </msub> <msup> <mi>e</mi> <mrow> <msub> <mi>j&amp;omega;</mi> <mi>s</mi> </msub> <mi>t</mi> </mrow> </msup> </mrow> <mrow> <msub> <mi>j&amp;omega;</mi> <mi>s</mi> </msub> </mrow> </mfrac> <mo>+</mo> <mfrac> <mrow> <msub> <mi>pu</mi> <mn>0</mn> </msub> <msup> <mi>e</mi> <mrow> <mo>-</mo> <mfrac> <msub> <mi>R</mi> <mi>s</mi> </msub> <msub> <mi>L</mi> <mi>s</mi> </msub> </mfrac> <mi>t</mi> </mrow> </msup> </mrow> <mrow> <msub> <mi>j&amp;omega;</mi> <mi>s</mi> </msub> </mrow> </mfrac> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>9</mn> <mo>)</mo> </mrow> </mrow>
    OrderStator magnetic linkage in formula (2) is substituted into rotor flux, it is as follows to obtain (10) formula：
    <mrow> <msub> <mi>&amp;psi;</mi> <mi>r</mi> </msub> <mo>=</mo> <mfrac> <msub> <mi>L</mi> <mi>m</mi> </msub> <msub> <mi>L</mi> <mi>s</mi> </msub> </mfrac> <msub> <mi>&amp;psi;</mi> <mi>s</mi> </msub> <mo>-</mo> <msub> <mi>&amp;sigma;L</mi> <mi>r</mi> </msub> <msub> <mi>i</mi> <mi>r</mi> </msub> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>10</mn> <mo>)</mo> </mrow> </mrow>
    2.4th, the rotor voltage equation for substituting into stator magnetic linkage transient expression formula (9) during failure and formula (10) in formula (1), must be closed In the differential equation of first order of rotor voltage
    <mrow> <msub> <mi>u</mi> <mi>r</mi> </msub> <mo>=</mo> <mfrac> <msub> <mi>L</mi> <mi>m</mi> </msub> <msub> <mi>L</mi> <mi>s</mi> </msub> </mfrac> <mrow> <mo>(</mo> <mfrac> <mi>d</mi> <mrow> <mi>d</mi> <mi>t</mi> </mrow> </mfrac> <mo>-</mo> <msub> <mi>j&amp;omega;</mi> <mi>r</mi> </msub> <mo>)</mo> </mrow> <msub> <mi>&amp;psi;</mi> <mi>s</mi> </msub> <mo>+</mo> <mo>&amp;lsqb;</mo> <msub> <mi>R</mi> <mi>r</mi> </msub> <mo>+</mo> <msub> <mi>&amp;sigma;L</mi> <mi>r</mi> </msub> <mrow> <mo>(</mo> <mfrac> <mi>d</mi> <mrow> <mi>d</mi> <mi>t</mi> </mrow> </mfrac> <mo>-</mo> <msub> <mi>j&amp;omega;</mi> <mi>r</mi> </msub> <mo>)</mo> </mrow> <mo>&amp;rsqb;</mo> <msub> <mi>i</mi> <mi>r</mi> </msub> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>11</mn> <mo>)</mo> </mrow> </mrow>
    And then when drawing grid entry point Voltage Drop, the Expression formula that rotor current rises sharply is：
    <mrow> <msub> <mi>&amp;sigma;L</mi> <mi>r</mi> </msub> <mfrac> <mrow> <msub> <mi>di</mi> <mi>r</mi> </msub> </mrow> <mrow> <mi>d</mi> <mi>t</mi> </mrow> </mfrac> <mo>=</mo> <msub> <mi>u</mi> <mi>r</mi> </msub> <mo>-</mo> <mfrac> <msub> <mi>L</mi> <mi>m</mi> </msub> <msub> <mi>L</mi> <mi>s</mi> </msub> </mfrac> <mrow> <mo>(</mo> <mfrac> <mi>d</mi> <mrow> <mi>d</mi> <mi>t</mi> </mrow> </mfrac> <mo>-</mo> <msub> <mi>j&amp;omega;</mi> <mi>r</mi> </msub> <mo>)</mo> </mrow> <msub> <mi>&amp;psi;</mi> <mi>s</mi> </msub> <mo>-</mo> <msub> <mi>R</mi> <mi>r</mi> </msub> <msub> <mi>i</mi> <mi>r</mi> </msub> <mo>+</mo> <msub> <mi>j&amp;sigma;L</mi> <mi>r</mi> </msub> <msub> <mi>&amp;omega;</mi> <mi>r</mi> </msub> <msub> <mi>i</mi> <mi>r</mi> </msub> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>3</mn> <mo>)</mo> </mrow> <mo>.</mo> </mrow>
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