CN107769227A - A kind of wind-powered electricity generation station equivalent modeling method suitable for subsynchronous research - Google Patents
A kind of wind-powered electricity generation station equivalent modeling method suitable for subsynchronous research Download PDFInfo
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
- H02J3/00—Circuit arrangements for ac mains or ac distribution networks
- H02J3/24—Arrangements for preventing or reducing oscillations of power in networks
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
- H02J3/00—Circuit arrangements for ac mains or ac distribution networks
- H02J3/38—Arrangements for parallely feeding a single network by two or more generators, converters or transformers
- H02J3/40—Synchronising a generator for connection to a network or to another generator
- H02J3/42—Synchronising a generator for connection to a network or to another generator with automatic parallel connection when synchronisation is achieved
-
- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
- H02J3/00—Circuit arrangements for ac mains or ac distribution networks
- H02J3/38—Arrangements for parallely feeding a single network by two or more generators, converters or transformers
- H02J3/46—Controlling of the sharing of output between the generators, converters, or transformers
- H02J3/48—Controlling the sharing of the in-phase component
-
- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
- H02J3/00—Circuit arrangements for ac mains or ac distribution networks
- H02J3/38—Arrangements for parallely feeding a single network by two or more generators, converters or transformers
- H02J3/46—Controlling of the sharing of output between the generators, converters, or transformers
- H02J3/50—Controlling the sharing of the out-of-phase component
-
- 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]
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- Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
- Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
- Y02E—REDUCTION OF GREENHOUSE GAS [GHG] EMISSIONS, RELATED TO ENERGY GENERATION, TRANSMISSION OR DISTRIBUTION
- Y02E10/00—Energy generation through renewable energy sources
- Y02E10/70—Wind energy
- Y02E10/76—Power conversion electric or electronic aspects
Abstract
The invention discloses a kind of wind-powered electricity generation station equivalent modeling method suitable for subsynchronous research, concretely comprise the following steps：Wind power plant inner blower number of units n is set, it is equivalent for single unit and the equivalent parameters of its leading-out terminal transformer by calculating this n platform；Then the series equivalent approach impedance parameter of collector system in wind power plant is calculated according to the mode of connection of system；Then the equivalent impedance parameter in parallel of collector system is calculated on the basis of series equivalent approach impedance parameter；According to the generating set equivalent parameters calculated, transformer equivalent parameters and collector system connection in series-parallel equivalent parameters establish the simplification Equivalent Model of wind power plant.The invention is applied in the subsynchronous equivalent modeling analysis of wind power plant.During specificity analysis subsynchronous using Equivalent Model progress wind power plant, time-domain-simulation amount of calculation can be reduced under the precision for reaching detailed model, shortens the simulation analysis time.Improve the efficiency of the subsynchronous specificity analysis of wind power plant.
Description
Technical field
The invention belongs to technical field of power systems, is related to a kind of wind power plant equivalent modeling side suitable for subsynchronous research
Method.
Background technology
In recent years, wind-powered electricity generation has become generation of electricity by new energy mode with fastest developing speed in the world.End to the end of the year 2016, China
Newly-increased installed capacity of wind-driven power reaches 23GW, and accumulative installed capacity reaches 168.7GW, ranks first in the world.Due to the wind energy resources in China
It is to improve effectively arranging for extensive, remote wind-powered electricity generation conveying capacity using series capacitor compensation technology of transmission of electricity away from load center
Apply.But there is sub-synchronous oscillation threat in Large Scale Wind Farm Integration by series capacitance multi-line power transmission.In face of the extensive electric power of complexity
System, establish the detailed electrical-magnetic model of total system and carry out Practical Project research, undoubtedly method the most accurate in theory.By
It is the differential equation group of multivariable in the detail mathematic model of blower fan, its solution procedure is complicated.And large-scale electro-magnetic transient is imitated
Very not only it is difficult to endure on time loss, and the iteration error accumulation of small step-length can also make simulation result lose reference price
Value.
Contact is connected by overhead transmission line or cable run between Wind turbines.Due to most of wind fields prevailing wind direction all
Relatively centralized, typically require to be separated by 5~9 times of rotor diameters between unit on prevailing wind direction, required on prevailing wind direction
It is separated by general 3~5 times of rotor diameters between unit.One large-scale wind power plant generally possesses tens of or even hundreds MW class wind
Group of motors, the oscillation of power characteristic that its internal collector system inputs power network to wind power plant have considerable influence.
According to existing bibliography《Equivalencing the collector system of a large wind
power plant》The equivalent thought of collector system power is proposed, it is active and idle etc. by solve that collector system consumed
It is worth the internal driving of collector system.But the Equivalent Model that the document proposes only only accounts for every typhoon group of motors leading-out terminal electric current
Identical situation, is not counted and its current amplitude or the different situation of phase, lacks the explanation of deeper degree.Document《Method
of equivalencing for a large wind power plant with multiple turbine
representation》And the impedance value of its collector system is solved by the equivalent thinking of power, but assuming that Wind turbines
In the case of outlet voltage all same, derive that line current does not meet reality, problem be present.
At present, also none of these methods can be counted and directly calculate wind power plant current collection system while current amplitude and phase
Impedance value during system is equivalent.
The content of the invention
In order to solve above deficiency, the present invention will propose a kind of wind power plant equivalent modeling side suitable for subsynchronous research
Method.The present invention proposes the wind power plant suitable for subsynchronous research that is a kind of while considering unit leading-out terminal current amplitude and phase
Equivalent modeling method.Collector system impedance parameter ginseng related to equivalent Wind turbines in series equivalent approach part in wind power plant is solved first
Number establishes part in series Equivalent Model, and then on the basis of series equivalent approach model, current collection system is solved by equivalent calculation in parallel
The parallel impedance parameter and Wind turbines equivalent parameters of system.Finally established according to equivalent relevant parameter in parallel and unit equivalent parameters
The simplification Equivalent Model of whole wind power plant, and the model and modal damping of the actual detailed model under sub-synchronous oscillation are contrasted,
Demonstrate the validity of Equivalent Model and the efficiency of analysis emulation.
To achieve these goals, technical scheme is as follows：
A kind of wind-powered electricity generation station equivalent modeling method suitable for subsynchronous research, comprise the following steps：
Step 1：The number of units of Wind turbines in wind power plant is set as n platforms, according to every 5MW Wind turbines parameter aggregation etc.
Wind turbines relevant parameter S after valueeq, Veq, Xls_eq, Xlr_eq, XM_eq, Rs_eq, Rr_eq：The parameter of generator terminal step-up transformer
Zeq_WF；Wherein：SeqIt is equivalent generator rating power；VeqIt is equivalent rated voltage；Xls_eqAnd Xlr_eqRespectively etc.
It is worth generator unit stator leakage reactance and rotor leakage reactance；XM_eqFor equivalent generator excitation reactance；Rs_eqAnd Rr_eqRespectively equivalent generator
Stator resistance and rotor resistance, Zeq_WFFor the impedance of equivalent transformer；
Step 2：According to the mode of connection of collector system inside wind power plant, the electric current for each unit leading-out terminal of connectingWith the impedance value Z of interconnectori=Ri+jXi, calculate series equivalent approach impedanceIn formula：N is the number of units of every series circuit unit, IiFor i-th unit outlet
The current amplitude at end, ω are system angular frequency,There is electric current initial phase, R for i-th uniti,Respectively the i-th typhoon electricity
The resistance and reactance value of unit outlet end line；It is total resistance and reactance value after n platform unit equivalences；For i platforms
Leading-out terminal current amplitude after unit equivalence；
Step 3：On the basis of series equivalent approach impedance, by each equivalent unit leading-out terminal electric current after series equivalent approachWith the impedance value Z of equivalent interconnectorni=Rni+jXni, solve parallel connection for calculating collector system etc.
It is worth impedance,In formula：IniFor i-th after series equivalent approach equivalent unit leading-out terminal
Current amplitude, ω is system angular frequency,For i-th unit leading-out terminal electric current initial phase, R after series equivalent approachni,XniIt is string
I-th equivalent line end resistance and reactance value after connection is equivalent；Rni,I-th typhoon group of motors leading-out terminal respectively after series equivalent approach
The resistance and reactance value of circuit；For m platform unit equivalence leading-out terminal total current amplitudes,It is that m platforms unit is in parallel equivalent
Total resistance and reactance value afterwards；
Step 4：The equivalent generating set relevant parameter solved according to calculating, equivalent transformer relevant parameter and equivalent collection
Electric system relevant parameter establishes wind power plant Equivalent Simplification model；Simultaneously according to generating set relevant parameter, transformer in wind power plant
Relevant parameter and collector system relevant parameter establish the detailed model of wind power plant.
Further, in the step 1, the parametric solution of the equivalent parameters of Wind turbines and each generator terminal step-up transformer calculates
Method is：Veq=V；Xls_eq=Xls；XM_eq=XM；Xlr_eq=Xlr；Rs_eq=Rs；Rr_eq=Rr；Zeq_WF=
ZT_WTG/n；
In formula：N is Wind turbines number of units, Si, SeqRespectively generator rating power before and after equivalence；Vi, VeqRespectively etc.
Rated voltage before and after value；Xls, Xls_eqAnd Xlr, Xlr_eqGenerator unit stator leakage reactance and rotor leakage reactance respectively before and after equivalence；
XM, XM_eqRespectively generator excitation reactance before and after equivalence；Rs, Rs_eqAnd Rr, Rr_eqGenerator unit stator electricity respectively before and after equivalence
Resistance and rotor resistance, ZT_WTG, Zeq_WFRespectively generator terminal step-up transformer impedance value before and after equivalence.
Further, in the step 2, collector system series equivalent approach impedanceWithFor：
The electric current of each unit leading-out terminalThe impedance value Z of interconnectori=Ri+jXi, thenIn formula：N is the number of units of every series circuit unit, IiFor i-th unit leading-out terminal
Current amplitude, ω is system angular frequency,There is electric current initial phase, R for i-th uniti,Respectively the i-th typhoon motor
The resistance and reactance value of group outlet end line,For leading-out terminal leading-out terminal current amplitude after n platform unit equivalences,For n platform machines
Leading-out terminal current phase after group is equivalent；
The then impedance of series equivalent approach collector system is：Every in wind power plant
During blower fan wind speed all same, it can be reduced to
In formula： It is total resistance and reactance value after n platform unit equivalences,For leading-out terminal current amplitude after n platform unit equivalences,For leading-out terminal current phase after n platform unit equivalences, An,BnRespectively
Pilot process iteration variable, Ii,IjThe amplitude of respectively i-th, j platform unit leading-out terminal electric currents,For i-th, j platform unit outlets
Hold the phase of electric current；
When in wind power plant per Fans leading-out terminal current amplitude approximately equal, impedance computation formula can be reduced to
In this up-to-date style： Be resistance total after n platform unit equivalences and
Reactance value,For leading-out terminal current amplitude after n platform unit equivalences, An,BnRespectively pilot process iteration amount, Ri,Respectively
The resistance and reactance value of i-th typhoon group of motors outlet end line,For the i-th typhoon group of motors leading-out terminal current phase.
Further, in the step 3, collector system parallel connection equivalent impedanceWithCalculating process be：
The electric current of leading-out terminal after series equivalent approachThe impedance value Z of interconnector after equivalenceni=
Rni+jXni, thenIn formula：IniFor the current amplitude of i-th unit leading-out terminal, ω
For system angular frequency,For i-th unit leading-out terminal current phase,Respectively the i-th typhoon group of motors outlet end line
The resistance and reactance value on road, m are equivalent blower fan number of units in parallel,For equivalent i platforms unit leading-out terminal current amplitude in parallel,For
Equivalent i platforms unit outlet total current phase in parallel；
The impedance of equivalent collector system in parallel is：
In formula： It is m platforms
Total resistance and reactance value after unit equivalence,For leading-out terminal current amplitude after m platform unit equivalences,It is equivalent for m platforms unit
Phase A corresponding to electric current afterwardsm,Bm,Ci,DiRespectively pilot process iteration amount, Ini,InjRespectively i-th, j platform units go out after equivalence
The amplitude of line end electric current,For phase corresponding to i-th, j platforms unit electric current after equivalence；
When series equivalent approach part leading-out terminal current amplitude is approximately the same, impedance computation can be reduced to：
In this up-to-date style： For
Wind turbines leading-out terminal current phase after i platform series equivalent approaches,It is total resistance and reactance value after m platform unit equivalences,For leading-out terminal current amplitude after m platform unit equivalences,For phase A corresponding to leading-out terminal electric current after m platform unit equivalencesm,Bm,
Ci,DiRespectively pilot process iteration amount, Ini,InjThe amplitude of i-th, j platform unit leading-out terminal electric currents respectively after equivalence,For phase corresponding to i-th, j platforms equivalence unit electric current after equivalence；
Further, in the step 4, actual mode during wind power plant sub-synchronous oscillation is drawn according to the detailed model of system
With damping relation, contrast proposes Equivalent Simplification model, verifies the reasonability and validity of model.
Further, it is additionally included in PSCAD/EMTDC softwares and builds wind power plant detailed model and simplification Equivalent Model.
Beneficial effect
1st, the wind power plant simplification Equivalent Model established can replace actual wind power plant detailed model, so as to simplify emulation
The system model of analysis.Realize by naive model to study the effect of complication system.
When the 2nd, carrying out the subsynchronous specificity analysis of wind power plant with the simplified model established, calculation scale can be greatly reduced.
The time of total system electromagnetic transient simulation analysis is reduced, improves assessment efficiency.
3rd, when the subsynchronous specificity analysis analysis of established simplified model and detailed model progress wind power plant used contrasts, energy
Preferably meet the damping mode of detailed model.
Brief description of the drawings
Fig. 1 is for theory deduction series equivalent approach and equivalent schematic diagram in parallel.
Wherein, set unit in wind power plant and share m row, each column contains Wind turbines n platforms.
Fig. 2 is the wind power plant internal model of the use in specific embodiment.
Wherein, set unit in wind power plant and share 4 row, each column contains Wind turbines 5.
Fig. 3 is the detailed model and simplification Equivalent Model after each column series equivalent approach.
Fig. 4 be it is in parallel equivalent before and after detailed model and simplification Equivalent Model.
Fig. 5 is Equivalent Model of the Wind turbines by serial supplementary line access system.
Active power when Fig. 6 is steady-state operation before and after equivalence.
Reactive power when Fig. 7 is steady-state operation before and after equivalence.
Embodiment
It is specifically described with reference to above figure.
A kind of wind-powered electricity generation station equivalent modeling method suitable for subsynchronous research, comprise the following steps：
Step 1, the number of units of Wind turbines in wind power plant is set as n platforms, according to every 5MW Wind turbines parameter aggregation etc.
Wind turbines relevant parameter S after valueeq, Veq, Xls_eq, Xlr_eq, XM_eq, Rs_eq, Rr_eq：The parameter of generator terminal step-up transformer
Zeq_WF；
Step 2, according to the mode of connection of collector system inside wind power plant, the electric current of each unit leading-out terminalWith the impedance value Z of interconnectori=Ri+jXi, calculate series equivalent approach impedanceIn formula：In formula：N is the number of units of every series circuit unit, IiFor i-th machine
The current amplitude of group leading-out terminal, ω is system angular frequency,For i-th unit leading-out terminal current phase, Ri,Respectively i-th
The resistance and reactance value of typhoon group of motors outlet end line；It is total resistance and reactance value after n platform unit equivalences；
For leading-out terminal current amplitude after i platform unit equivalences；
Step 3, on the basis of series equivalent approach impedance, by each leading-out terminal electric current after series equivalent approachWith the impedance value Z of interconnectorni=Rni+jXni, solve the equivalent resistance of parallel connection for calculating collector system
It is anti-.In formula：IniFor the electricity of i-th after series equivalent approach equivalent unit leading-out terminal
Amplitude is flowed, ω is system angular frequency,For i-th unit leading-out terminal current phase, R after series equivalent approachni,XniIt is series equivalent approach
I-th equivalent line end resistance and reactance value afterwards；Rni,I-th typhoon group of motors outlet end line respectively after series equivalent approach
Resistance and reactance value；For m platform unit leading-out terminal total current amplitudes,Be m platforms unit it is in parallel equivalent after total resistance
And reactance value；
Step 4, the equivalent generating set relevant parameter solved according to calculating, equivalent transformer relevant parameter and equivalent collection
Electric system relevant parameter establishes wind power plant Equivalent Simplification model.Simultaneously according to generating set relevant parameter, transformer in wind power plant
Relevant parameter and collector system relevant parameter establish the detailed model of wind power plant.
In above-mentioned steps 1, the parametric solution computational methods of the equivalent parameters of Wind turbines and each generator terminal step-up transformer are：Veq=V；Xls_eq=Xls；XM_eq=XM；Xlr_eq=Xlr；Rs_eq=Rs；Rr_eq=Rr；Zeq_WF=ZT_WTG/n。
In formula：N is Wind turbines number of units, Si, SeqRespectively generator rating power before and after equivalence；Vi, VeqRespectively etc.
Rated voltage before and after value；Xls, Xls_eqAnd Xlr, Xlr_eqGenerator unit stator leakage reactance and rotor leakage reactance respectively before and after equivalence；
XM, XM_eqRespectively generator excitation reactance before and after equivalence；Rs, Rs_eqAnd Rr, Rr_eqGenerator unit stator electricity respectively before and after equivalence
Resistance and rotor resistance.ZT_WTG, Zeq_WFRespectively generator terminal step-up transformer impedance value before and after equivalence.
In above-mentioned steps 2, collector system series equivalent approach impedanceWithCalculating.Each unit leading-out terminal electric currentThe impedance value Z of interconnectori=Ri+jXLi, then
From accompanying drawing 3, then the power consumption for every section of electric line of collection of connecting can be expressed as：
In formula：It is) peak value of each section of electric current of current through line；Ri(i=1,2...n), XLi(i=1,
2...n) it is line impedance value,For equivalence preceding i platforms unit leading-out terminal total current amplitude,For i-th line Lu Shangfu
The loss of power.
The totalizing wattmeter of consumption is shown as：
According to the equivalent principle of the power proposed, the power that collector system consumes before and after equivalence should be equal.Therefore, disappear
The general power of consumption can also be expressed as：
In formula：For the peak value of total current after series equivalent approach,For series equivalent approach impedance value
The then impedance of series equivalent approach collector system is：
In formula： It is total resistance and reactance value after n platform unit equivalences,For leading-out terminal total current amplitude after i platform unit equivalences, An,BnRespectively pilot process iteration amount, Ii,IjRespectively i-th, j platforms
The amplitude of unit leading-out terminal electric current,For phase corresponding to i-th, j platform unit electric currents.
When in wind power plant per Fans leading-out terminal current amplitude approximately equal, it can be reduced to
In this up-to-date style：Ri,The respectively resistance and reactance value of the i-th typhoon group of motors outlet end line,An,BnRespectively pilot process iteration amount,For the i-th typhoon group of motors leading-out terminal electricity
Flow phase.
In above-mentioned steps 3, collector system parallel connection equivalent impedance is calculatedWithThe electric current of leading-out terminal after series equivalent approachElectric current after then polymerizeingContact after equivalence
The impedance value Z of circuitni=Rni+jXLni。
From accompanying drawing 4, then the power consumption of every section of electric line of collection in parallel can be expressed as：
In formula：Ini(i=1,2...m) it is the peak value of leading-out terminal electric current after every section of series equivalent approach；Rni(i=1,2...m),For line impedance value after series equivalent approach.
The totalizing wattmeter of consumption is shown as：
According to the equivalent principle of the power proposed, the power that collector system consumes before and after equivalence should be equal.Therefore, disappear
The general power of consumption can also be expressed as：
In formula：For the amplitude of total current after in parallel equivalent,For equivalent impedance value in parallel
According to the equivalent principle of the power proposed, the power that collector system consumes before and after equivalence should be equal.Parallel connection etc.
The impedance of value collector system is：
In formula： It is m
Total resistance and reactance value after platform unit equivalence,For leading-out terminal current amplitude after m platform unit equivalences,For m platform units etc.
Phase corresponding to electric current, A after valuem,Bm,Ci,DiRespectively pilot process iteration amount, Ini,InjRespectively i-th, j platform machines after equivalence
The amplitude of group leading-out terminal electric current,For phase corresponding to i-th, j platforms unit electric current after equivalence；
Before equivalence in parallel, when unit leading-out terminal current amplitude is approximately the same, above formula is reduced to：
In this up-to-date style：Am,Bm,
Ci,DiRespectively pilot process iteration amount,For Wind turbines leading-out terminal current phase after i-th group of series equivalent approach.
In above-mentioned steps 4, actual mode and damping when going out wind power plant sub-synchronous oscillation according to the detailed model of system are right
Than proposed Equivalent Simplification model, the reasonability and validity of model are verified.
According in step 1, table 1 gives the relevant parameter of 5MW Wind turbines in wind power plant, and table 2 then gives every machine
The step-up transformer impedance parameter of group.According in specific embodiment, wind power plant is set as 4 row, the unit contained by each column 5.
The .5MW Wind turbines parameters of table one
The single motor step-up transformer impedance group parameters of table two
The parametric solution computational methods of the equivalent parameters of Wind turbines and each generator terminal step-up transformer are：N=20；Veq=V；Xls_eq=Xls；XM_eq=XM；Xlr_eq=Xlr；Rs_eq=Rs；Rr_eq=Rr；Zeq_WF=ZT_WTG/n
Relevant parameter after equivalence is table three, shown in table four：
Wind turbines parameter after the equivalences of table three
Step-up transformer impedance group parameter after the equivalences of table four
According in step 2, the line parameter circuit value Z in appended drawings 3 and table fivei=Ri+jXi, calculate collector system series connection etc.
It is worth impedanceWithThe electric current of each unit leading-out terminalThe impedance value of interconnector, then
The series equivalent approach line parameter circuit values of table five
The impedance of series equivalent approach collector system is：Every in wind power plant
During blower fan wind speed all same, it can be reduced to Finally solve
The impedance value of series equivalent approach each column is：Req=0.651 Ω, XLeq=1.046 Ω
In formula：In this up-to-date style： For the i-th typhoon group of motors leading-out terminal electric current phase
Position.
According in step 3, according to each column series circuit equivalent parameters solved in appended drawings 4 and step 2Calculate collector system parallel connection equivalent impedanceWithThe electric current of leading-out terminal after series equivalent approach
ForThen leading-out terminal electric current after equivalence
The impedance of equivalent collector system in parallel is：When series equivalent approach portion
Separate line end current amplitude it is approximately the same when, above formula is reduced to：
The R finally solvedeqAnd XLeqValue its value be respectively 0.1628 Ω and 0.2615 Ω.
In this up-to-date style： For
Wind turbines leading-out terminal current phase after i platform series equivalent approaches.
Embodiment
Wind power plant detailed model and simplification Equivalent Model are built in PSCAD/EMTDC softwares, carries out simulation analysis.Contrast
Active and reactive power is exported under different normal operation situations, active during sub-synchronous oscillation and reactive power and mode occur for contrast
Damping.The detailed model and simplification Equivalent Model of example are as shown in Figure 5.Transmission line of electricity serial compensation capacitance is 110 microfarads, and series compensation degrees are
The 30% of circuit.The specific situation of active reactive Oscillatory mode shape such as following table before and after equivalence.It is as can be seen from the table and secondary before and after equivalence
The damping of synchronized oscillation dominant mode preferably can meet very much, and this illustrates the equivalent validity of polymerization.Steady-state operation simultaneously
When active and reactive power such as Fig. 6, shown in 7.
Table six：Active Oscillatory mode shape before and after equivalence
Table six：Reactive power oscillation mode before and after equivalence
The subsynchronous equivalence method of wind power plant proposed by the present invention, it is contemplated that each typhoon group of motors leading-out terminal current amplitude and phase
Situation when position is incomplete same, power equivalence can preferably be applied to subsynchronous model analysis.Power simplification Equivalent Model
Realize simplified operation and put forward efficient purpose.
To sum up, a kind of wind-powered electricity generation station equivalent modeling method suitable for subsynchronous research of the invention, wind in wind power plant is set
Board number n, it is equivalent for single unit and the equivalent parameters of its leading-out terminal transformer by calculating this n platform；Then according to system
The mode of connection calculates the series equivalent approach impedance parameter of collector system in wind power plant；Then on the basis of series equivalent approach impedance parameter
Calculate the equivalent impedance parameter in parallel of collector system；According to the generating set equivalent parameters calculated, transformer equivalent parameters and
Collector system connection in series-parallel equivalent parameters establish the simplification Equivalent Model of wind power plant.The invention is built applied to the subsynchronous equivalence of wind power plant
In mould analysis.During specificity analysis subsynchronous using Equivalent Model progress wind power plant, it can subtract under the precision for reaching detailed model
Few time-domain-simulation amount of calculation, shortens the simulation analysis time.Improve the efficiency of the subsynchronous specificity analysis of wind power plant.
In the description of this specification, reference term " one embodiment ", " some embodiments ", " illustrative examples ",
The description of " example ", " specific example " or " some examples " etc. means to combine specific features, the knot that the embodiment or example describe
Structure, material or feature are contained at least one embodiment or example of the present invention.In this manual, to above-mentioned term
Schematic representation is not necessarily referring to identical embodiment or example.Moreover, specific features, structure, material or the spy of description
Point can combine in an appropriate manner in any one or more embodiments or example.
Although an embodiment of the present invention has been shown and described, it will be understood by those skilled in the art that：Not
In the case of departing from the principle and objective of the present invention a variety of change, modification, replacement and modification can be carried out to these embodiments, this
The scope of invention is limited by claim and its equivalent.
Claims (6)
1. a kind of wind-powered electricity generation station equivalent modeling method suitable for subsynchronous research, it is characterised in that comprise the following steps：
Step 1：The number of units of Wind turbines in wind power plant is set as n platforms, after every 5MW Wind turbines parameter aggregation equivalence
Wind turbines relevant parameter Seq, Veq, Xls_eq, Xlr_eq, XM_eq, Rs_eq, Rr_eq：The parameter Z of generator terminal step-up transformereq_WF；Its
In：SeqIt is equivalent generator rating power；VeqIt is equivalent rated voltage；Xls_eqAnd Xlr_eqRespectively equivalent generator
Stator leakage reactance and rotor leakage reactance；XM_eqFor equivalent generator excitation reactance；Rs_eqAnd Rr_eqRespectively equivalent generator unit stator resistance
And rotor resistance, Zeq_WFFor the impedance of equivalent transformer；
Step 2：According to the mode of connection of collector system inside wind power plant, the electric current for each unit leading-out terminal of connecting
With the impedance value Z of interconnectori=Ri+jXi, calculate series equivalent approach impedanceFormula
In：N is the number of units of every series circuit unit, IiFor the current amplitude of i-th unit leading-out terminal, ω is system angular frequency,For
There is electric current initial phase, R in i-th uniti,The respectively resistance and reactance value of the i-th typhoon group of motors outlet end line；It is total resistance and reactance value after n platform unit equivalences；For leading-out terminal current amplitude after i platform unit equivalences；
Step 3：On the basis of series equivalent approach impedance, by each equivalent unit leading-out terminal electric current after series equivalent approachWith the impedance value Z of equivalent interconnectorni=Rni+jXni, solve parallel connection for calculating collector system etc.
It is worth impedance,In formula：IniFor i-th after series equivalent approach equivalent unit leading-out terminal
Current amplitude, ω is system angular frequency,For i-th unit leading-out terminal electric current initial phase, R after series equivalent approachni,XniIt is string
I-th equivalent line end resistance and reactance value after connection is equivalent；Rni,I-th typhoon group of motors leading-out terminal respectively after series equivalent approach
The resistance and reactance value of circuit；For m platform unit equivalence leading-out terminal total current amplitudes,It is that m platforms unit is in parallel equivalent
Total resistance and reactance value afterwards；
Step 4：The equivalent generating set relevant parameter solved according to calculating, equivalent transformer relevant parameter and equivalent current collection system
System relevant parameter establishes wind power plant Equivalent Simplification model；It is simultaneously related according to generating set relevant parameter in wind power plant, transformer
Parameter and collector system relevant parameter establish the detailed model of wind power plant.
A kind of 2. wind-powered electricity generation station equivalent modeling method suitable for subsynchronous research according to claim 1, it is characterised in that：
In the step 1, the parametric solution computational methods of the equivalent parameters of Wind turbines and each generator terminal step-up transformer are：
Veq=V；Xls_eq=Xls；XM_eq=XM；Xlr_eq=Xlr；Rs_eq=Rs；Rr_eq=Rr；Zeq_WF=ZT_WTG/n；
In formula：N is Wind turbines number of units, Si, SeqRespectively generator rating power before and after equivalence；Vi, VeqRespectively before equivalence
Rated voltage afterwards；Xls, Xls_eqAnd Xlr, Xlr_eqGenerator unit stator leakage reactance and rotor leakage reactance respectively before and after equivalence；XM,
XM_eqRespectively generator excitation reactance before and after equivalence；Rs, Rs_eqAnd Rr, Rr_eqBefore and after respectively equivalent generator unit stator resistance and
Rotor resistance, ZT_WTG, Zeq_WFRespectively generator terminal step-up transformer impedance value before and after equivalence.
A kind of 3. wind-powered electricity generation station equivalent modeling method suitable for subsynchronous research according to claim 1, it is characterised in that：
In the step 2, collector system series equivalent approach impedanceWithFor：
The electric current of each unit leading-out terminalThe impedance value Z of interconnectori=Ri+jXi, thenIn formula：N is the number of units of every series circuit unit, IiGo out for i-th unit
The current amplitude of line end, ω are system angular frequency,There is electric current initial phase, R for i-th uniti,Respectively the i-th typhoon
The resistance and reactance value of group of motors outlet end line,For leading-out terminal leading-out terminal current amplitude after n platform unit equivalences,For n
Leading-out terminal current phase after platform unit equivalence；
The then impedance of series equivalent approach collector system is：Per Fans in wind power plant
During wind speed all same, it can be reduced to
In formula： It is total resistance and reactance value after n platform unit equivalences,For leading-out terminal current amplitude after n platform unit equivalences,For leading-out terminal current phase after n platform unit equivalences, An,BnRespectively
Pilot process iteration variable, Ii,IjThe amplitude of respectively i-th, j platform unit leading-out terminal electric currents,For i-th, j platform unit outlets
Hold the phase of electric current；
When in wind power plant per Fans leading-out terminal current amplitude approximately equal, impedance computation formula can be reduced to
In this up-to-date style： It is resistance total after n platform unit equivalences and reactance
Value,For leading-out terminal current amplitude after n platform unit equivalences, An,BnRespectively pilot process iteration amount, Ri,Respectively i-th
The resistance and reactance value of Wind turbines outlet end line,For the i-th typhoon group of motors leading-out terminal current phase.
A kind of 4. wind-powered electricity generation station equivalent modeling method suitable for subsynchronous research according to claim 1, it is characterised in that：
In the step 3, collector system parallel connection equivalent impedanceWithCalculating process be：The electric current of leading-out terminal after series equivalent approachThe impedance value Z of interconnector after equivalenceni=Rni+jXni, then
In formula：IniFor the current amplitude of i-th unit leading-out terminal, ω is system angular frequency,For i-th unit leading-out terminal electricity
Flow phase,The respectively resistance and reactance value of the i-th typhoon group of motors outlet end line, m are equivalent blower fan platform in parallel
Number,For equivalent i platforms unit leading-out terminal current amplitude in parallel,For equivalent i platforms unit outlet total current phase in parallel；
The impedance of equivalent collector system in parallel is：
In formula： It is m platforms
Total resistance and reactance value after unit equivalence,For leading-out terminal current amplitude after m platform unit equivalences,It is equivalent for m platforms unit
Phase A corresponding to electric current afterwardsm,Bm,Ci,DiRespectively pilot process iteration amount, Ini,InjRespectively i-th, j platform units go out after equivalence
The amplitude of line end electric current,For phase corresponding to i-th, j platforms unit electric current after equivalence；
When series equivalent approach part leading-out terminal current amplitude is approximately the same, impedance computation can be reduced to：
In this up-to-date style： For i-th
Wind turbines leading-out terminal current phase after series equivalent approach,It is total resistance and reactance value after m platform unit equivalences,
For leading-out terminal current amplitude after m platform unit equivalences,For phase A corresponding to leading-out terminal electric current after m platform unit equivalencesm,Bm,Ci,
DiRespectively pilot process iteration amount, Ini,InjThe amplitude of i-th, j platform unit leading-out terminal electric currents respectively after equivalence,For
Phase corresponding to i-th, j platforms equivalence unit electric current after equivalence；
A kind of 5. wind-powered electricity generation station equivalent modeling method suitable for subsynchronous research according to claim 1, it is characterised in that：
In the step 4, actual mode and damping relation when drawing wind power plant sub-synchronous oscillation according to the detailed model of system, contrast
Itd is proposed Equivalent Simplification model, verify the reasonability and validity of model.
A kind of 6. wind-powered electricity generation station equivalent modeling method suitable for subsynchronous research according to claim 1, it is characterised in that：
It is additionally included in PSCAD/EMTDC softwares and builds wind power plant detailed model and simplification Equivalent Model.
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| Publication number | Priority date | Publication date | Assignee | Title |
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| CN108304681A (en) * | 2018-03-13 | 2018-07-20 | 江苏大学 | Farm model polymerization based on 3 kinds of operation areas of Wind turbines |
| CN109888820A (en) * | 2019-02-14 | 2019-06-14 | 国网甘肃省电力公司嘉峪关供电公司 | Method for calculating the short circuit current contribution value of new energy unit |
| CN112217203A (en) * | 2020-09-28 | 2021-01-12 | 西安热工研究院有限公司 | Direct-drive wind power plant subsynchronous oscillation equivalence method capable of keeping model structure |
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| CN101882167A (en) * | 2009-11-25 | 2010-11-10 | 中国电力科学研究院 | Wind power station equivalent modeling method of large-scale wind power concentration access power grid |
| CN103558768A (en) * | 2013-08-12 | 2014-02-05 | 清华大学 | Equivalent modeling method based on wind speed distribution characteristics in wind power plant |
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| CN101882167A (en) * | 2009-11-25 | 2010-11-10 | 中国电力科学研究院 | Wind power station equivalent modeling method of large-scale wind power concentration access power grid |
| CN103558768A (en) * | 2013-08-12 | 2014-02-05 | 清华大学 | Equivalent modeling method based on wind speed distribution characteristics in wind power plant |
Cited By (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN108304681A (en) * | 2018-03-13 | 2018-07-20 | 江苏大学 | Farm model polymerization based on 3 kinds of operation areas of Wind turbines |
| CN109888820A (en) * | 2019-02-14 | 2019-06-14 | 国网甘肃省电力公司嘉峪关供电公司 | Method for calculating the short circuit current contribution value of new energy unit |
| CN109888820B (en) * | 2019-02-14 | 2021-11-02 | 国网甘肃省电力公司嘉峪关供电公司 | Method for calculating the short-circuit current contribution of a new energy bank |
| CN112217203A (en) * | 2020-09-28 | 2021-01-12 | 西安热工研究院有限公司 | Direct-drive wind power plant subsynchronous oscillation equivalence method capable of keeping model structure |
| CN112217203B (en) * | 2020-09-28 | 2022-11-25 | 西安热工研究院有限公司 | Direct-drive wind power plant subsynchronous oscillation equivalence method capable of keeping model structure |
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