CN108923464A - The building of doubly fed induction generator three-phase imbalance steady-state model, emulation mode and device - Google Patents

The building of doubly fed induction generator three-phase imbalance steady-state model, emulation mode and device Download PDF

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CN108923464A
CN108923464A CN201810861170.7A CN201810861170A CN108923464A CN 108923464 A CN108923464 A CN 108923464A CN 201810861170 A CN201810861170 A CN 201810861170A CN 108923464 A CN108923464 A CN 108923464A
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sequence impedance
induction generator
doubly fed
fed induction
rotor
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CN108923464B (en
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陈璨
吴林林
刘辉
巨云涛
张永华
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State Grid Corp of China SGCC
China Agricultural University
Electric Power Research Institute of State Grid Jibei Electric Power Co Ltd
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State Grid Corp of China SGCC
North China Electric Power Research Institute Co Ltd
China Agricultural University
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    • H02J3/386
    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02JCIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J2203/00Indexing scheme relating to details of circuit arrangements for AC mains or AC distribution networks
    • H02J2203/20Simulating, e g planning, reliability check, modelling or computer assisted design [CAD]
    • YGENERAL 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
    • Y02TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02EREDUCTION OF GREENHOUSE GAS [GHG] EMISSIONS, RELATED TO ENERGY GENERATION, TRANSMISSION OR DISTRIBUTION
    • Y02E10/00Energy generation through renewable energy sources
    • Y02E10/70Wind energy
    • Y02E10/76Power conversion electric or electronic aspects

Abstract

The present invention provides a kind of building of doubly fed induction generator three-phase imbalance steady-state model, emulation mode and device, construction methods to include:Stator side equation and rotor-side equation to the d-q dynamic model of induction machine carry out Laplace transformation;Stator d-q shaft voltage equation after Laplace transformation is synthesized to obtain stator voltage space vector expression formula, rotor d-q shaft voltage equation after Laplace transformation is synthesized to obtain rotor voltage space vector expression formula, and is derived by the positive sequence impedance and negative sequence impedance of the induction machine;Rotor-side converter positive sequence impedance, rotor-side converter negative sequence impedance and grid-side converter positive sequence impedance and simultaneously grid-side converter negative sequence impedance are established, and doubly fed induction generator positive sequence impedance and doubly fed induction generator negative sequence impedance is calculated;Doubly fed induction generator three-phase imbalance steady-state model is established according to the doubly fed induction generator positive sequence impedance and the doubly fed induction generator negative sequence impedance.The present invention can be improved the speed of electromagnetic transient simulation.

Description

The building of doubly fed induction generator three-phase imbalance steady-state model, emulation mode and device
Technical field
The present invention relates to technical field of electric power more particularly to a kind of doubly fed induction generator three-phase imbalance steady-state model structures It builds, emulation mode and device.
Background technique
Northern station wind power plant exveral phenomena about voltage imbalance is examined to reproduction, it is necessary to carry out three-phase imbalance to northern station wind power plant is examined Electromagnetic transient simulation, but the large-scale wind power field electromagnetic transient simulation time is usually too long.Therefore, it needs a kind of for electromagnetism The doubly fed induction generator three-phase imbalance steady-state model of transient emulation initialization, examines northern station wind power plant electromagnetic transient simulation to improve Speed reappears its exveral phenomena about voltage imbalance.
Summary of the invention
The present invention provides a kind of building of doubly fed induction generator three-phase imbalance steady-state model, emulation mode and device, to mention High extensive wind power plant electromagnetic transient simulation speed.
The embodiment of the present invention provides a kind of doubly fed induction generator three-phase imbalance steady-state model construction method, including:To sense The stator side equation and rotor-side equation for answering the d-q dynamic model of motor carry out Laplace transformation, the stator after obtaining Laplace transformation Rotor d-q shaft voltage equation after d-q shaft voltage equation and Laplace transformation;To the stator d-q shaft voltage after the Laplace transformation Equation is synthesized to obtain stator voltage space vector expression formula, to the rotor d-q shaft voltage equation after the Laplace transformation into Row synthesis obtains rotor voltage space vector expression formula;According to the stator voltage space vector expression formula and the rotor voltage Space vector expression formula is derived by the positive sequence impedance and negative sequence impedance of the induction machine;Establish the resistance of rotor-side converter positive sequence Anti-, rotor-side converter negative sequence impedance and grid-side converter positive sequence impedance and simultaneously grid-side converter negative sequence impedance;According to double-fed sense Motor positive sequence circuit, the positive sequence impedance of the induction machine, the rotor-side converter positive sequence impedance and described and net side is answered to become Doubly fed induction generator positive sequence impedance is calculated in stream device positive sequence impedance, according to doubly fed induction generator negative phase-sequence circuit, the induced electricity Double-fed sense is calculated in the negative sequence impedance of machine, the rotor-side converter negative sequence impedance and described and grid-side converter negative sequence impedance Answer motor negative sequence impedance;According to the doubly fed induction generator positive sequence impedance and the doubly fed induction generator negative sequence impedance, establish double Present induction machine three-phase imbalance steady-state model.
The embodiment of the present invention separately provides a kind of doubly fed induction generator three-phase imbalance electromagnetical transient emulation method, including:Benefit Use the solution of the doubly fed induction generator three-phase imbalance steady-state model as described in Claims 1-4 initial as electromagnetic transient simulation Value carries out doubly fed induction generator three-phase imbalance electromagnetic transient simulation.
The embodiment of the present invention separately provides a kind of doubly fed induction generator three-phase imbalance steady-state model construction device, including:It draws Family name's converter unit, is used for:Stator side equation and rotor-side equation to the d-q dynamic model of induction machine carry out Laplace transformation, Stator d-q shaft voltage equation after obtaining Laplace transformation and the rotor d-q shaft voltage equation after Laplace transformation;Vector modulation list Member is used for:Stator d-q shaft voltage equation after the Laplace transformation is synthesized to obtain the expression of stator voltage space vector Formula is synthesized to obtain rotor voltage space vector expression formula to the rotor d-q shaft voltage equation after the Laplace transformation;Induction Motor impedance generation unit, is used for:According to the stator voltage space vector expression formula and the rotor voltage space vector table The positive sequence impedance and negative sequence impedance of the induction machine are derived by up to formula;Rotor-side and simultaneously grid-side converter impedance generate single Member is used for:Establish rotor-side converter positive sequence impedance, rotor-side converter negative sequence impedance, and grid-side converter positive sequence impedance and And grid-side converter negative sequence impedance;Doubly fed induction generator impedance generation unit, is used for:According to doubly fed induction generator positive sequence circuit, The positive sequence impedance of the induction machine, the rotor-side converter positive sequence impedance and described and grid-side converter positive sequence impedance calculate Doubly fed induction generator positive sequence impedance is obtained, according to doubly fed induction generator negative phase-sequence circuit, the negative sequence impedance, described of the induction machine Doubly fed induction generator negative sequence impedance is calculated in rotor-side converter negative sequence impedance and described and grid-side converter negative sequence impedance;Surely States model generation unit, is used for:According to the doubly fed induction generator positive sequence impedance and the doubly fed induction generator negative sequence impedance, build Vertical doubly fed induction generator three-phase imbalance steady-state model.
The embodiment of the present invention separately provides a kind of computer readable storage medium, is stored thereon with computer program, the program The step of above-described embodiment the method is realized when being executed by processor.
The embodiment of the present invention separately provides a kind of computer equipment, including memory, processor and storage are on a memory simultaneously The computer program that can be run on a processor, the processor realize above-described embodiment the method when executing described program Step.
Doubly fed induction generator three-phase imbalance steady-state model construction method, the doubly fed induction generator three-phase of the embodiment of the present invention Uneven electromagnetical transient emulation method, doubly fed induction generator three-phase imbalance steady-state model construction device, computer-readable storage Medium and computer equipment, by realizing when constructing doubly fed induction generator three-phase imbalance steady-state model by doubly fed induction generator Positive-negative sequence impedance takes into account, and can be improved the accuracy of doubly fed induction generator three-phase imbalance steady-state model.Carrying out double-fed When induction machine three-phase imbalance electromagnetic transient simulation, using the solution of doubly fed induction generator three-phase imbalance steady-state model as just Initial value can be improved the speed of electromagnetic transient simulation.
Detailed description of the invention
In order to more clearly explain the embodiment of the invention or the technical proposal in the existing technology, to embodiment or will show below There is attached drawing needed in technical description to be briefly described, it should be apparent that, the accompanying drawings in the following description is only this Some embodiments of invention for those of ordinary skill in the art without creative efforts, can be with It obtains other drawings based on these drawings.In the accompanying drawings:
Fig. 1 is the process signal of the doubly fed induction generator three-phase imbalance steady-state model construction method of one embodiment of the invention Figure.
Fig. 2 is to be derived by sense according to stator voltage space vector and rotor voltage space vector in one embodiment of the invention Answer the positive sequence impedance of motor and the method flow schematic diagram of negative sequence impedance.
Fig. 3 is that rotor-side converter positive sequence impedance, rotor-side converter negative sequence impedance, simultaneously are established in one embodiment of the invention Grid-side converter positive sequence impedance and the simultaneously method flow schematic diagram of grid-side converter negative sequence impedance.
Fig. 4 is current transformer current control block diagram representation in one embodiment of the invention.
Fig. 5 is doubly fed induction generator positive sequence circuit diagram in one embodiment of the invention.
Fig. 6 is doubly fed induction generator negative phase-sequence circuit diagram in one embodiment of the invention.
Fig. 7 is to be built in one embodiment of the invention according to doubly fed induction generator positive sequence impedance and doubly fed induction generator negative sequence impedance The method flow schematic diagram of vertical doubly fed induction generator three-phase imbalance steady-state model.
Fig. 8 is the structural representation of the doubly fed induction generator three-phase imbalance steady-state model construction device of one embodiment of the invention Figure.
Specific embodiment
Understand in order to make the object, technical scheme and advantages of the embodiment of the invention clearer, with reference to the accompanying drawing to this hair Bright embodiment is described in further details.Here, the illustrative embodiments of the present invention and their descriptions are used to explain the present invention, but simultaneously It is not as a limitation of the invention.
Fig. 1 is the process signal of the doubly fed induction generator three-phase imbalance steady-state model construction method of one embodiment of the invention Figure.As shown in Figure 1, the doubly fed induction generator three-phase imbalance steady-state model construction method of the present embodiment, it may include:
Step S110:Stator side equation and rotor-side equation to the d-q dynamic model of induction machine carry out Laplace transformation, Stator d-q shaft voltage equation after obtaining Laplace transformation and the rotor d-q shaft voltage equation after Laplace transformation;
Step S120:Stator d-q shaft voltage equation after the Laplace transformation is synthesized to obtain stator voltage space Vector expression is synthesized to obtain rotor voltage space vector table to the rotor d-q shaft voltage equation after the Laplace transformation Up to formula;
Step S130:It is pushed away according to the stator voltage space vector expression formula and the rotor voltage space vector expression formula It leads to obtain the positive sequence impedance and negative sequence impedance of the induction machine;
Step S140:Establish rotor-side converter positive sequence impedance, rotor-side converter negative sequence impedance and grid-side converter just Sequence impedance and simultaneously grid-side converter negative sequence impedance;
Step S150:Become according to doubly fed induction generator positive sequence circuit, the positive sequence impedance of the induction machine, the rotor-side Doubly fed induction generator positive sequence impedance is calculated in stream device positive sequence impedance and described and grid-side converter positive sequence impedance, according to double-fed sense Motor negative phase-sequence circuit, the negative sequence impedance of the induction machine, the rotor-side converter negative sequence impedance and described and net side is answered to become Doubly fed induction generator negative sequence impedance is calculated in stream device negative sequence impedance;
Step S160:According to the doubly fed induction generator positive sequence impedance and the doubly fed induction generator negative sequence impedance, establish Doubly fed induction generator three-phase imbalance steady-state model.
In above-mentioned steps S110, Laplace transformation is carried out to the stator side equation of the d-q dynamic model of induction machine, is obtained Stator d-q shaft voltage equation after Laplace transformation;Laplace change is carried out to the rotor-side equation of the d-q dynamic model of induction machine It changes, the rotor d-q shaft voltage equation after obtaining Laplace transformation.The induction machine for example can be wound induction motor.The d-q Dynamic model, which can according to need, to be constructed.
In some embodiments, the stator side equation of wound induction motor q-d model can be:
λqs=Llsiqs+Lm(iqs+i'qr), λds=Llsids+Lm(ids+i'dr) (2)
Wherein, vqsAnd vdsRespectively stator winding q and d shaft voltage, iqsAnd idsRespectively determine the sub- q and d shaft current of winding, λqsAnd λdsRespectively stator winding q and d axis magnetic linkage, rsFor stator winding resistance, ω is synchronous rotary angular speed, and t is time change Amount, i'qrAnd i'drRespectively q and d shaft current of the rotor windings conversion to stator side, LlsFor stator leakage inductance, LmFor mutual inductance.
In some embodiments, the rotor-side equation of wound induction motor q-d model can be:
λ'qr=L'lri'qr+Lm(i'qr+iqs), λ 'dr=L'lri'dr+Lm(i'dr+ids) (4)
Wherein, v'qrAnd v'drRespectively q and d shaft voltage of the rotor windings conversion to stator side, i'qrAnd i'drRespectively turn Q and d shaft current of the sub- winding conversion to stator side, λ 'qrWith λ 'drRespectively q and d axis magnetic of the rotor windings conversion to stator side Chain, rr' it is resistance of the rotor windings conversion to stator side, ωrFor rotor velocity, L'lrFor the leakage of rotor conversion to stator side Sense.
Formula (2) are substituted into formula (1) and carry out Laplace transformation, obtain formula (5):
vqs=(rs+sLls+sLm)iqs+ω(Lls+Lm)ids+ωLmi'dr+sLmi'qr <1>
vds=(rs+sLls+sLm)ids-ω(Lls+Lm)iqs-ωLmi'qr+sLmi'dr <2>
Formula (4) are substituted into formula (3) and carry out Laplace transformation, obtain formula (6):
v'qr=(r 'r+sL'lr+sLm)i'qr+(ω-ωr)(L'lr+Lm)i'dr+(ω-ωr)Lmids+sLmiqs <1>
v'dr=(r 'r+sL'lr+sLm)i'dr-(ω-ωr)(L'lr+Lm)i'qr-(ω-ωr)Lmiqs+sLmids <2>
In above-mentioned steps S120, the stator d-q shaft voltage equation after the Laplace transformation can be synthesized to obtain The stator voltage space vector expression formula of plural number, is synthesized to obtain to the rotor d-q shaft voltage equation after the Laplace transformation The rotor voltage space vector expression formula of plural number.
In some embodiments, the stator d-q shaft voltage equation after Laplace transformation can be obtained by formula (5), to formula (5) It presses<1>-j<2>It is synthesized, obtains stator voltage space vector expression formula:
Wherein,For stator voltage space vector, s is Laplace operator,For stator current,For rotor current.
In some embodiments, the rotor d-q shaft voltage equation after Laplace transformation can be obtained by formula (6), to formula (6) It presses<1>-j<2>It is synthesized, obtains rotor voltage space vector expression formula:
Wherein,For rotor voltage space vector.
In formula (7) and (8),For the plural number changed over time, and have:
It, can be first empty according to the stator voltage space vector expression formula and the rotor voltage in above-mentioned steps S130 Between vector expression be derived by the positive sequence impedance of the induction machine, obtain institute further according to the positive sequence impedance of the induction machine State the negative sequence impedance of induction machine.
Fig. 2 is to be derived by sense according to stator voltage space vector and rotor voltage space vector in one embodiment of the invention Answer the positive sequence impedance of motor and the method flow schematic diagram of negative sequence impedance.As shown in Fig. 2, in above-mentioned steps S130, according to fixed Sub- space vector of voltage and rotor voltage space vector are derived by the positive sequence impedance of induction machine and the method for negative sequence impedance, can Including:
Step S131:It is pushed away according to the stator voltage space vector expression formula and the rotor voltage space vector expression formula It leads to obtain based on the stator voltage space vector of d-q reference frame and the relationship of stator current space vector;
Step S132:It will be based on the stator voltage space vector of d-q reference frame and the pass of stator current space vector System is transformed into abc reference frame, obtains the stator positive sequence voltage under abc reference frame, and according to the stator positive sequence electricity Pressure obtains the positive sequence impedance of the induction machine;
Step S133:It is negated by the symbol of the rotor velocity in the positive sequence impedance to the induction machine, obtains institute State the negative sequence impedance of induction machine.
In some embodiments, in above-mentioned steps S131, the stator voltage space vector expression formula can be formula (7), the rotor voltage space vector expression formula can be formula (8), will be in formula (8) using formula (7)WithWith It indicates, is calculated:
Formula (10) is derived based on dq rotating coordinate system, the concept of positive-negative sequence be relative to abc reference frame, Therefore formula (10) need to be transformed into abc reference frame.
In some embodiments, in above-mentioned steps S132, by based on d-q reference frame stator voltage space vector with The relation formula (10) of stator current space vector is transformed into abc reference frame, is obtaining stator under abc reference frame just Sequence voltage is:
Wherein,For stator positive sequence voltage,For stator current resultant vector,ZFor induction machine positive sequence impedance,To turn Sub- voltage resultant vector.
The positive sequence impedance Z of wound induction motor can be obtained according to the stator positive sequence voltage formula (11)im,pFor:
Due to rotor direction of rotation in rotor direction of rotation and positive sequence network in negative sequence network on the contrary, therefore, in above-mentioned step In rapid S133, for example, can be by rotor angular velocity omega in formula (12) positive sequence impedance modelrSymbol negates, and negative sequence impedance can be obtained Zim,n, as follows:
In above-mentioned steps S140, such as the resistance of rotor-side converter positive sequence can be established according to current transformer current control figure Anti-, rotor-side converter negative sequence impedance and grid-side converter positive sequence impedance and simultaneously grid-side converter negative sequence impedance.It is worth explanation It is that step S140 can be located at before or after step S110~step S130 either step.
Fig. 3 is that rotor-side converter positive sequence impedance, rotor-side converter negative sequence impedance, simultaneously are established in one embodiment of the invention Grid-side converter positive sequence impedance and the simultaneously method flow schematic diagram of grid-side converter negative sequence impedance.As shown in figure 3, in above-mentioned steps In S140, rotor-side converter positive sequence impedance, rotor-side converter negative sequence impedance and grid-side converter positive sequence impedance and simultaneously are established The method of grid-side converter negative sequence impedance, it may include:
Step S141:Current transformer voltage vector, which is generated, according to current transformer current control figure expresses formula;
Step S142:Formula, which is expressed, according to the current transformer voltage vector obtains current transformer positive sequence impedance and the resistance of current transformer negative phase-sequence It is anti-;
Step S143:Rotor-side converter positive sequence impedance and and grid-side converter are obtained according to the current transformer positive sequence impedance Positive sequence impedance obtains rotor-side converter negative sequence impedance and and grid-side converter negative phase-sequence resistance according to the current transformer negative sequence impedance It is anti-.
In above-mentioned steps S141, current transformer current control figure can as shown in figure 4, in Fig. 4,Indicate q axis with reference to electricity Stream,Indicate d axis reference current, iqIndicate q shaft current, idIndicate d shaft current, KdIndicate that the coefficient of coup of dq axis, H (s) indicate The transmission function of controller, va、vb、vcRespectively indicate stator three-phase current.Control block diagram as shown in Figure 4 is available:
Wherein, HiIt (s) is controller transfer function.
Similar to formula (7), carrying out synthesis using formula (14) can be obtained current transformer voltage vector expression formula:
Wherein,For current transformer voltage,For current transformer reference current vector,For current transformer actual current.
In above-mentioned steps S142, such as formula formula (15) are expressed according to the current transformer voltage vector and are obtaining current transformer just Sequence impedance, it is as follows:
Hi(s-jω)-jKd (16)
Wherein, Hi(s-j ω) is the controller transfer function of current transformer positive sequence circuit.
Formula formula (15), which are expressed, according to the current transformer voltage vector obtains current transformer negative sequence impedance, it is as follows:
Hi(s+jω)+jKd (17)
Wherein, Hi(s+j ω) is the controller transfer function of negative phase-sequence circuit.
In above-mentioned steps S143, for its positive sequence impedance of rotor-side converter ZRSC,pFor:
ZRSC,p=Hr(s-jω)-jKdr, wherein Hr(s-j ω) is that rotor-side converter positive sequence circuit controller transmits letter Number, KdrFor the coupling of rotor dq shaft current.
Negative sequence impedance ZRSC,nFor:
ZRSC,n=Hr(s+jω)+jKdr, wherein Hr(s+j ω) is that rotor-side converter negative phase-sequence circuit controller transmits letter Number.
Similarly, simultaneously grid-side converter positive sequence impedance model Z can be obtainedGSC,pFor:
ZGSC,p=Hg(s-jω)-jKdg, wherein Hg(s-j ω) is grid-side converter positive sequence circuit controller transmission function, KdgFor the simultaneously net side dq shaft current coefficient of coup.
Negative sequence impedance ZGSC,nFor:
ZGSC,n=Hg(s+jω)+jKdg, wherein Hg(s+j ω) is that simultaneously grid-side converter negative phase-sequence circuit controller transmits letter Number.
In above-mentioned steps S150, doubly fed induction generator positive sequence circuit can be as shown in Figure 5, wherein ZrscIndicate rotor-side electricity Die mould current transformer positive sequence impedance, ZgscIndicate simultaneously net side Voltage type converter positive sequence impedance, LTIndicate filter inductance, L'rIndicate folding Calculate stator side rotor-side leakage inductance, LsIndicate stator inductance, LmIndicate mutual inductance,Indicate rotor current reference value,Indicate grid-connected Side Inverter circuit reference value.According to the positive sequence impedance of the induction machine, the rotor-side converter positive sequence impedance and described And grid-side converter positive sequence impedance, doubly fed induction generator positive sequence impedance can be calculated according to doubly fed induction generator positive sequence circuit. Doubly fed induction generator negative phase-sequence circuit is as shown in Figure 6, wherein Z* rscIndicate the impedance of rotor-side inverter, Z* gscIndicate the simultaneously net side change of current Device impedance.According to the negative sequence impedance of the induction machine, the rotor-side converter negative sequence impedance and described and grid-side converter Doubly fed induction generator negative sequence impedance can be calculated according to doubly fed induction generator negative phase-sequence circuit in negative sequence impedance.
In some embodiments, the positive sequence impedance Z of doubly fed induction generator (DFIG) is calculated according to Fig. 5dfig,pCan be:
In some embodiments, the negative sequence impedance Z of doubly fed induction generator (DFIG) is calculated according to Fig. 6dfig,nCan be:
Fig. 7 is to be built in one embodiment of the invention according to doubly fed induction generator positive sequence impedance and doubly fed induction generator negative sequence impedance The method flow schematic diagram of vertical doubly fed induction generator three-phase imbalance steady-state model.As shown in fig. 7, in above-mentioned steps S160, According to the doubly fed induction generator positive sequence impedance and the doubly fed induction generator negative sequence impedance, doubly fed induction generator three-phase is established not The method for balancing steady-state model, it may include:
Step S161:Double-fed sense is calculated using doubly fed induction generator positive sequence voltage and the doubly fed induction generator positive sequence impedance Motor forward-order current is answered, calculates double-fed induction using doubly fed induction generator negative sequence voltage and the doubly fed induction generator negative sequence impedance Motor negative-sequence current;
Step S162:Utilize the doubly fed induction generator positive sequence voltage, the doubly fed induction generator negative sequence voltage, described pair Presenting induction machine forward-order current and the doubly fed induction generator negative-sequence current indicates active power and reactive power, double-fed induction electricity Machine three-phase imbalance steady-state model includes the doubly fed induction generator forward-order current, the doubly fed induction generator negative-sequence current, table The active power shown and the reactive power represented.
Doubly fed induction generator three-phase imbalance steady-state model may include the doubly fed induction generator forward-order current, the double-fed Induction machine negative-sequence current, the active power represented and the reactive power represented, this tittle can according to Ohm's law, The equation group that Kirchhoff's second law obtains.
In some embodiments, doubly fed induction generator current equation can be:
Wherein,For doubly fed induction generator forward-order current,For doubly fed induction generator negative-sequence current,For double-fed induction electricity Machine positive sequence voltage,For doubly fed induction generator negative sequence voltage.
Doubly fed induction generator positive sequence voltageWith doubly fed induction generator negative sequence voltageIt can be in stable model solution procedure Setting obtains.
Induction machine injecting power equation can be:
Wherein, P, Q respectively indicate doubly fed induction generator three-phase and always add active power and reactive power.P, Q can be known Amount.
The equation group of formula (20)~(23) composition is the three-phase imbalance steady-state model of DFIG, which, which can be, does not examine Consider the wound induction motor three-phase imbalance steady-state model of main magnetic circuit saturation.In equation group, unknown quantity number:4, packet It includes:Forward-order currentAmplitude and phase angle, negative-sequence currentAmplitude and phase angle;Equation number:4, including:Formula (20) (21)(22)(23);Unknown quantity number is equal to equation number, and stable model can solve.
In order to be based on wind power plant three-phase imbalance electromagnetic transient simulation time-consuming problem, the double-fed induction three-phase in embodiment is not Steady-state model is balanced, it is initial dedicated for the wind power plant three-phase imbalance electromagnetic transient simulation of the doubly fed induction generator containing Wound-rotor type Change, improves the wind power plant three-phase imbalance electromagnetic transient simulation speed containing doubly fed induction generator.In one embodiment, double-fed induction The constructing plan of three-phase imbalance steady-state model may include:1) to stator side equation, the rotor of the d-q dynamic model of induction machine Side journey carries out Laplace transformation;2) transformed stator d-q shaft voltage equation is synthesized into stator voltage space vector, will equally become Rotor d-q shaft voltage equation after changing synthesizes rotor voltage space vector;3) stator voltage vector and stator current space are derived Vector correlation obtains induction machine positive-negative sequence impedance;4) rotor-side converter positive sequence and negative phase-sequence equivalent circuit are established, is established grid-connected Side current transformer positive sequence and negative phase-sequence equivalent circuit;5) by induction machine positive sequence circuit, rotor-side converter and simultaneously grid-side converter conjunction At doubly fed induction generator positive sequence equivalent circuit, doubly fed induction generator negative phase-sequence equivalent circuit is similarly synthesized;6) based on double-fed induction electricity Machine positive-negative sequence equivalent circuit establishes doubly fed induction generator three-phase imbalance steady-state model.
The embodiment of the present invention also provides a kind of doubly fed induction generator three-phase imbalance electromagnetical transient emulation method, including:Benefit Use the solution of doubly fed induction generator three-phase imbalance steady-state model described in the various embodiments described above as electromagnetic transient simulation initial value, Carry out doubly fed induction generator three-phase imbalance electromagnetic transient simulation.In the present embodiment, doubly fed induction generator three-phase can be first solved Uneven steady-state model obtains the amplitude of forward-order current and the amplitude and phase angle of phase angle and negative-sequence current, as transient emulation Initial value carries out doubly fed induction generator three-phase imbalance electromagnetic transient simulation.
Based on inventive concept identical with doubly fed induction generator three-phase imbalance steady-state model construction method shown in FIG. 1, The embodiment of the present application also provides a kind of doubly fed induction generator three-phase imbalance steady-state model construction devices, such as following example institute It states.The principle and doubly fed induction generator three solved the problems, such as due to the doubly fed induction generator three-phase imbalance steady-state model construction device Mutually uneven steady-state model construction method is similar, therefore the reality of the doubly fed induction generator three-phase imbalance steady-state model construction device The implementation that may refer to doubly fed induction generator three-phase imbalance steady-state model construction method is applied, overlaps will not be repeated.
Fig. 8 is the structural representation of the doubly fed induction generator three-phase imbalance steady-state model construction device of one embodiment of the invention Figure.As shown in figure 8, the doubly fed induction generator three-phase imbalance steady-state model construction device of the present embodiment, it may include:Laplace transformation Unit 210, Vector modulation unit 220, induction machine impedance generation unit 230, rotor-side and simultaneously grid-side converter impedance generation Unit 240, doubly fed induction generator impedance generation unit 250 and steady-state model generation unit 260, above-mentioned each unit can sequentially connect It connects.
Laplace transformation unit 210, is used for:To the stator side equation and rotor-side equation of the d-q dynamic model of induction machine Carry out Laplace transformation, the stator d-q shaft voltage equation after obtaining Laplace transformation and the shaft voltage side rotor d-q after Laplace transformation Journey;
Vector modulation unit 220, is used for:Stator d-q shaft voltage equation after the Laplace transformation is synthesized to obtain Stator voltage space vector expression formula synthesizes the rotor d-q shaft voltage equation after the Laplace transformation to obtain rotor electricity Press space vector expression formula;
Induction machine impedance generation unit 230, is used for:According to the stator voltage space vector expression formula and the rotor Space vector of voltage expression formula is derived by the positive sequence impedance and negative sequence impedance of the induction machine;
Rotor-side and simultaneously grid-side converter impedance generation unit 240, are used for:It establishes rotor-side converter positive sequence impedance, turn Sub- side current transformer negative sequence impedance and grid-side converter positive sequence impedance and simultaneously grid-side converter negative sequence impedance;
Doubly fed induction generator impedance generation unit 250, is used for:According to doubly fed induction generator positive sequence circuit, the induced electricity Double-fed sense is calculated in the positive sequence impedance of machine, the rotor-side converter positive sequence impedance and described and grid-side converter positive sequence impedance Motor positive sequence impedance is answered, according to doubly fed induction generator negative phase-sequence circuit, the negative sequence impedance of the induction machine, the rotor-side unsteady flow Doubly fed induction generator negative sequence impedance is calculated in device negative sequence impedance and described and grid-side converter negative sequence impedance;
Steady-state model generation unit 260, is used for:According to the doubly fed induction generator positive sequence impedance and double-fed induction electricity Machine negative sequence impedance establishes doubly fed induction generator three-phase imbalance steady-state model.
In some embodiments, the induction machine impedance generation unit 230, it may include:Voltage and current relationship generates mould Block, induction machine positive sequence impedance generation module and induction machine negative sequence impedance generation module, above-mentioned each module can be linked in sequence.
Voltage and current relation generation module, is used for:According to the stator voltage space vector expression formula and the rotor Space vector of voltage expression formula is derived by stator voltage space vector and stator current space arrow based on d-q reference frame The relationship of amount;
Induction machine positive sequence impedance generation module, is used for:By based on d-q reference frame stator voltage space vector with The transformation of stator current space vector obtains the stator positive sequence voltage under abc reference frame to abc reference frame, And the positive sequence impedance of the induction machine is obtained according to the stator positive sequence voltage;
Induction machine negative sequence impedance generation module, is used for:Pass through the rotor angle in the positive sequence impedance to the induction machine The symbol of speed negates, and obtains the negative sequence impedance of the induction machine.
In some embodiments, the rotor-side and simultaneously grid-side converter impedance generation unit 240, it may include:Current transformer electricity Press vector expression generation module, current transformer positive-negative sequence impedance generation module and rotor-side and simultaneously grid-side converter impedance generation mould Block, above-mentioned each module can be linked in sequence.
Current transformer voltage vector expresses formula generation module, is used for:Current transformer voltage is generated according to current transformer current control figure Vector expression;
Current transformer positive-negative sequence impedance generation module, is used for:Formula, which is expressed, according to the current transformer voltage vector obtains current transformer Positive sequence impedance and current transformer negative sequence impedance;
Rotor-side and simultaneously grid-side converter impedance generation module, are used for:Rotor is obtained according to the current transformer positive sequence impedance Side current transformer positive sequence impedance and simultaneously grid-side converter positive sequence impedance, obtain rotor-side converter according to the current transformer negative sequence impedance Negative sequence impedance and and grid-side converter negative sequence impedance.
In some embodiments, the steady-state model generation unit 260, it may include:Doubly fed induction generator positive-negative sequence current is raw At module and active and reactive power generation module, above-mentioned each module can be linked in sequence.
Doubly fed induction generator positive-negative sequence current generation module, is used for:Utilize doubly fed induction generator positive sequence voltage and described pair It presents induction machine positive sequence impedance and calculates doubly fed induction generator forward-order current, utilize doubly fed induction generator negative sequence voltage and the double-fed Induction machine negative sequence impedance calculates doubly fed induction generator negative-sequence current;
Active and reactive power generation module, is used for:Utilize the doubly fed induction generator positive sequence voltage, the double-fed induction Motor negative sequence voltage, the doubly fed induction generator forward-order current and the doubly fed induction generator negative-sequence current indicate active power and Reactive power, doubly fed induction generator three-phase imbalance steady-state model include the doubly fed induction generator forward-order current, the double-fed Induction machine negative-sequence current, the active power represented and the reactive power represented.
The embodiment of the present invention also provides a kind of doubly fed induction generator three-phase imbalance electromagnetic transient simulation, utilizes above-mentioned each reality It applies doubly fed induction generator three-phase imbalance steady-state model construction device described in example and carries out transient emulation initialization.
The embodiment of the present invention also provides a kind of computer readable storage medium, is stored thereon with computer program, the program The step of the various embodiments described above the method is realized when being executed by processor.
The embodiment of the present invention also provides a kind of computer equipment, including memory, processor and storage are on a memory simultaneously The computer program that can be run on a processor, the processor realize the various embodiments described above the method when executing described program The step of.
In conclusion the doubly fed induction generator three-phase imbalance steady-state model construction method of the embodiment of the present invention, double-fed sense It answers motor three-phase imbalance electromagnetical transient emulation method, doubly fed induction generator three-phase imbalance steady-state model construction device, calculate Machine readable storage medium storing program for executing and computer equipment, will be double by realizing when constructing doubly fed induction generator three-phase imbalance steady-state model Feedback induction machine positive-negative sequence impedance takes into account, and can be improved the accuracy of doubly fed induction generator three-phase imbalance steady-state model. When carrying out doubly fed induction generator three-phase imbalance electromagnetic transient simulation, doubly fed induction generator three-phase imbalance steady-state model is utilized Solution as initial value, can be improved the speed of electromagnetic transient simulation.
In the description of this specification, reference term " one embodiment ", " specific embodiment ", " some implementations Example ", " such as ", the description of " example ", " specific example " or " some examples " etc. mean it is described in conjunction with this embodiment or example Particular features, structures, materials, or characteristics are included at least one embodiment or example of the invention.In the present specification, Schematic expression of the above terms may not refer to the same embodiment or example.Moreover, the specific features of description, knot Structure, material or feature can be combined in any suitable manner in any one or more of the embodiments or examples.Each embodiment Involved in the step of sequence be used to schematically illustrate implementation of the invention, sequence of steps therein is not construed as limiting, can be as needed It appropriately adjusts.
It should be understood by those skilled in the art that, the embodiment of the present invention can provide as method, system or computer program Product.Therefore, complete hardware embodiment, complete software embodiment or reality combining software and hardware aspects can be used in the present invention Apply the form of example.Moreover, it wherein includes the computer of computer usable program code that the present invention, which can be used in one or more, The computer program implemented in usable storage medium (including but not limited to magnetic disk storage, CD-ROM, optical memory etc.) produces The form of product.
The present invention be referring to according to the method for the embodiment of the present invention, the process of equipment (system) and computer program product Figure and/or block diagram describe.It should be understood that every one stream in flowchart and/or the block diagram can be realized by computer program instructions The combination of process and/or box in journey and/or box and flowchart and/or the block diagram.It can provide these computer programs Instruct the processor of general purpose computer, special purpose computer, Embedded Processor or other programmable data processing devices to produce A raw machine, so that being generated by the instruction that computer or the processor of other programmable data processing devices execute for real The device for the function of being specified in present one or more flows of the flowchart and/or one or more blocks of the block diagram.
These computer program instructions, which may also be stored in, is able to guide computer or other programmable data processing devices with spy Determine in the computer-readable memory that mode works, so that it includes referring to that instruction stored in the computer readable memory, which generates, Enable the manufacture of device, the command device realize in one box of one or more flows of the flowchart and/or block diagram or The function of being specified in multiple boxes.
These computer program instructions also can be loaded onto a computer or other programmable data processing device, so that counting Series of operation steps are executed on calculation machine or other programmable devices to generate computer implemented processing, thus in computer or The instruction executed on other programmable devices is provided for realizing in one or more flows of the flowchart and/or block diagram one The step of function of being specified in a box or multiple boxes.
Particular embodiments described above has carried out further in detail the purpose of the present invention, technical scheme and beneficial effects Describe in detail it is bright, it should be understood that the above is only a specific embodiment of the present invention, the guarantor being not intended to limit the present invention Range is protected, all within the spirits and principles of the present invention, any modification, equivalent substitution, improvement and etc. done should be included in this Within the protection scope of invention.

Claims (11)

1. a kind of doubly fed induction generator three-phase imbalance steady-state model construction method, which is characterized in that including:
Stator side equation and rotor-side equation to the d-q dynamic model of induction machine carry out Laplace transformation, obtain Laplace transformation Rotor d-q shaft voltage equation after rear stator d-q shaft voltage equation and Laplace transformation;
Stator d-q shaft voltage equation after the Laplace transformation is synthesized to obtain stator voltage space vector expression formula, it is right Rotor d-q shaft voltage equation after the Laplace transformation is synthesized to obtain rotor voltage space vector expression formula;
The sense is derived by according to the stator voltage space vector expression formula and the rotor voltage space vector expression formula Answer the positive sequence impedance and negative sequence impedance of motor;
Establish rotor-side converter positive sequence impedance, rotor-side converter negative sequence impedance and grid-side converter positive sequence impedance and grid-connected Side current transformer negative sequence impedance;
According to doubly fed induction generator positive sequence circuit, the positive sequence impedance of the induction machine, the rotor-side converter positive sequence impedance And doubly fed induction generator positive sequence impedance is calculated in described and grid-side converter positive sequence impedance, according to doubly fed induction generator negative phase-sequence electricity Road, the negative sequence impedance of the induction machine, the rotor-side converter negative sequence impedance and described and grid-side converter negative sequence impedance Doubly fed induction generator negative sequence impedance is calculated;
According to the doubly fed induction generator positive sequence impedance and the doubly fed induction generator negative sequence impedance, doubly fed induction generator three is established Mutually uneven steady-state model.
2. doubly fed induction generator three-phase imbalance steady-state model construction method as described in claim 1, which is characterized in that according to The stator voltage space vector and the rotor voltage space vector are derived by the positive sequence impedance of the induction machine and bear Sequence impedance, including:
It is derived by according to the stator voltage space vector expression formula and the rotor voltage space vector expression formula based on d-q The stator voltage space vector of reference frame and the relationship of stator current space vector;
The transformation of stator voltage space vector and stator current space vector based on d-q reference frame to abc is joined Coordinate system is examined, obtains the stator positive sequence voltage under abc reference frame, and the induction is obtained according to the stator positive sequence voltage The positive sequence impedance of motor;
It is negated by the symbol of the rotor velocity in the positive sequence impedance to the induction machine, obtains the negative of the induction machine Sequence impedance.
3. doubly fed induction generator three-phase imbalance steady-state model construction method as described in claim 1, which is characterized in that establish Rotor-side converter positive sequence impedance, rotor-side converter negative sequence impedance and grid-side converter positive sequence impedance and simultaneously grid-side converter Negative sequence impedance, including:
Current transformer voltage vector, which is generated, according to current transformer current control figure expresses formula;
Formula, which is expressed, according to the current transformer voltage vector obtains current transformer positive sequence impedance and current transformer negative sequence impedance;
Rotor-side converter positive sequence impedance and simultaneously grid-side converter positive sequence impedance are obtained according to the current transformer positive sequence impedance, according to The current transformer negative sequence impedance obtains rotor-side converter negative sequence impedance and and grid-side converter negative sequence impedance.
4. doubly fed induction generator three-phase imbalance steady-state model construction method as described in claim 1, which is characterized in that according to The doubly fed induction generator positive sequence impedance and the doubly fed induction generator negative sequence impedance, establish doubly fed induction generator three-phase imbalance Steady-state model, including:
Doubly fed induction generator positive sequence electricity is calculated using doubly fed induction generator positive sequence voltage and the doubly fed induction generator positive sequence impedance Stream calculates doubly fed induction generator negative phase-sequence electricity using doubly fed induction generator negative sequence voltage and the doubly fed induction generator negative sequence impedance Stream;
Just using the doubly fed induction generator positive sequence voltage, the doubly fed induction generator negative sequence voltage, the doubly fed induction generator Sequence electric current and the doubly fed induction generator negative-sequence current indicate active power and reactive power, doubly fed induction generator three-phase imbalance Steady-state model includes the doubly fed induction generator forward-order current, the doubly fed induction generator negative-sequence current, the wattful power represented Rate and the reactive power represented.
5. a kind of doubly fed induction generator three-phase imbalance electromagnetical transient emulation method, which is characterized in that including:
It is imitative using the solution of the doubly fed induction generator three-phase imbalance steady-state model as described in Claims 1-4 as electro-magnetic transient True initial value carries out doubly fed induction generator three-phase imbalance electromagnetic transient simulation.
6. a kind of doubly fed induction generator three-phase imbalance steady-state model construction device, which is characterized in that including:
Laplace transformation unit, is used for:Stator side equation and rotor-side equation to the d-q dynamic model of induction machine carry out Laplace Transformation, the stator d-q shaft voltage equation after obtaining Laplace transformation and the rotor d-q shaft voltage equation after Laplace transformation;
Vector modulation unit, is used for:Stator d-q shaft voltage equation after the Laplace transformation is synthesized to obtain stator voltage Space vector expression formula synthesizes the rotor d-q shaft voltage equation after the Laplace transformation to obtain rotor voltage space arrow Measure expression formula;
Induction machine impedance generation unit, is used for:It is empty according to the stator voltage space vector expression formula and the rotor voltage Between vector expression be derived by the positive sequence impedance and negative sequence impedance of the induction machine;
Rotor-side and simultaneously grid-side converter impedance generation unit, are used for:Establish rotor-side converter positive sequence impedance, rotor-side unsteady flow Device negative sequence impedance and grid-side converter positive sequence impedance and simultaneously grid-side converter negative sequence impedance;
Doubly fed induction generator impedance generation unit, is used for:According to the positive sequence of doubly fed induction generator positive sequence circuit, the induction machine Doubly fed induction generator is being calculated just in impedance, the rotor-side converter positive sequence impedance and described and grid-side converter positive sequence impedance Sequence impedance is hindered according to doubly fed induction generator negative phase-sequence circuit, the negative sequence impedance of the induction machine, the rotor-side converter negative phase-sequence Doubly fed induction generator negative sequence impedance is calculated in anti-and described and grid-side converter negative sequence impedance;
Steady-state model generation unit, is used for:According to the doubly fed induction generator positive sequence impedance and the doubly fed induction generator negative phase-sequence Doubly fed induction generator three-phase imbalance steady-state model is established in impedance.
7. doubly fed induction generator three-phase imbalance steady-state model construction device as claimed in claim 6, which is characterized in that described Induction machine impedance generation unit, including:
Voltage and current relation generation module, is used for:According to the stator voltage space vector expression formula and the rotor voltage Space vector expression formula is derived by stator voltage space vector based on d-q reference frame and stator current space vector Relationship;
Induction machine positive sequence impedance generation module, is used for:By stator voltage space vector and stator based on d-q reference frame The transformation of current space vector obtains the stator positive sequence voltage under abc reference frame, and root to abc reference frame The positive sequence impedance of the induction machine is obtained according to the stator positive sequence voltage;
Induction machine negative sequence impedance generation module, is used for:Pass through the rotor velocity in the positive sequence impedance to the induction machine Symbol negate, obtain the negative sequence impedance of the induction machine.
8. doubly fed induction generator three-phase imbalance steady-state model construction device as claimed in claim 6, which is characterized in that described Rotor-side and simultaneously grid-side converter impedance generation unit, including:
Current transformer voltage vector expresses formula generation module, is used for:Current transformer voltage vector is generated according to current transformer current control figure Expression formula;
Current transformer positive-negative sequence impedance generation module, is used for:Formula, which is expressed, according to the current transformer voltage vector obtains current transformer positive sequence Impedance and current transformer negative sequence impedance;
Rotor-side and simultaneously grid-side converter impedance generation module, are used for:Rotor-side is obtained according to the current transformer positive sequence impedance to become Device positive sequence impedance and simultaneously grid-side converter positive sequence impedance are flowed, rotor-side converter negative phase-sequence is obtained according to the current transformer negative sequence impedance Impedance and and grid-side converter negative sequence impedance.
9. doubly fed induction generator three-phase imbalance steady-state model construction device as claimed in claim 6, which is characterized in that described Steady-state model generation unit, including:
Doubly fed induction generator positive-negative sequence current generation module, is used for:Utilize doubly fed induction generator positive sequence voltage and the double-fed sense It answers motor positive sequence impedance to calculate doubly fed induction generator forward-order current, utilizes doubly fed induction generator negative sequence voltage and the double-fed induction Motor negative sequence impedance calculates doubly fed induction generator negative-sequence current;
Active and reactive power generation module, is used for:Utilize the doubly fed induction generator positive sequence voltage, the doubly fed induction generator Negative sequence voltage, the doubly fed induction generator forward-order current and the doubly fed induction generator negative-sequence current indicate active power and idle Power, doubly fed induction generator three-phase imbalance steady-state model include the doubly fed induction generator forward-order current, the double-fed induction Motor negative-sequence current, the active power represented and the reactive power represented.
10. a kind of computer readable storage medium, is stored thereon with computer program, which is characterized in that the program is by processor The step of claim 1 to 5 the method is realized when execution.
11. a kind of computer equipment including memory, processor and stores the meter that can be run on a memory and on a processor Calculation machine program, which is characterized in that the step of processor realizes claim 1 to 5 the method when executing described program.
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