CN106168994B - A kind of subsynchronous frequency equivalent modeling method of wind power plant - Google Patents
A kind of subsynchronous frequency equivalent modeling method of wind power plant Download PDFInfo
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Abstract
The invention belongs to power system securities to stablize field more particularly to a kind of subsynchronous frequency equivalent modeling method of wind power plant.It is characterized in that, seeking the equivalent impedance of single wind generator the method includes establishing the equivalent circuit of single wind generator, wind power plant cluster electric network is established according to wind farm network topological structure；Seek the subsynchronous frequency characteristic of wind power plant cluster electric network；K-means clustering algorithm is carried out to the wind-driven generator in wind power plant and divides group, the subsynchronous frequency for then carrying out wind power plant primary network is equivalent；Carry out the subsynchronous frequency Equivalent Model amendment of wind power plant.The present invention can be used in the wind power plant equivalent modeling of sub-synchronous oscillation analysis, entire wind power plant is characterized with one or more wind-driven generator, and there is similar subsynchronous frequency characteristic with wind power plant, it is the basis analyzed wind power plant sub-synchronous oscillation mechanism and further take effective braking measure.
Description
Technical field
The invention belongs to power system securities to stablize field more particularly to a kind of subsynchronous frequency equivalent modeling side of wind power plant
Method.
Background technique
THE WIND ENERGY RESOURCES IN CHINA is mainly contained in western part, and a large amount of electric loads are located at eastern region, this makes " Xi electricity Dong
Send " principles and policies of the strategy as China's electric power development.Since series capacitor compensation technology can significantly improve ac transmission
Power delivery capabilities, so that it is worldwide widely used.In the big of the wind power bases such as China Inner Mongol, Xinjiang, Gansu
For type wind power plant since local load is lower, this wind power plant, which mends ac transmission through string, will become a kind of universal transmission of electricity of China's power grid
Mode.Under certain condition since Wind turbines and series compensation interact, wind power plant sub-synchronous oscillation problem can be caused,
Seriously threaten the safe and stable operation of electric system.
Wind power plant is the Wind turbines cluster for converting wind energy into electric energy, and string mends ac transmission can cause under certain condition
Sub-synchronous oscillation seriously threatens the safety of wind power plant.Sub-synchronous oscillation repeatedly occurs both at home and abroad causes wind farm device to damage thing
Therefore cause serious economic loss.Wind power plant equivalent modeling is carried out, simulation analysis sub-synchronous oscillation phenomenon is analysis wind power plant
Sub-synchronous oscillation mechanism and the basis for further taking effective braking measure have great economic and social benefit.
Currently used wind-powered electricity generation station equivalent modeling method is for transient stability analysis of power system or Low Frequency Oscillation Analysis
, it is not suitable for sub-synchronous oscillation analysis.Up to the present, there are no a set of wind power plant for sub-synchronous oscillation analysis is equivalent
Modeling method.Entire wind power plant often is simulated with a Fans in research, whether entire wind power plant can be characterized for the blower
Subsynchronous frequency characteristic do not have still studies have reported that.In consideration of it, the invention patent proposes a kind of subsynchronous frequency of Large Scale Wind Farm Integration
Equivalent modeling method, to lay the foundation for wind power plant sub-synchronous oscillation simulation analysis.
Summary of the invention
To solve the above-mentioned problems, the technical scheme adopted by the invention is as follows it is as follows:
A kind of subsynchronous frequency equivalent modeling method of wind power plant, which is characterized in that the described method comprises the following steps:
Step 1, the equivalent circuit for establishing single wind generator, seek the equivalent impedance of single wind generator, according to wind
Electric field network topological structure establishes wind power plant cluster electric network；If the wind power plant cluster electric network of trunk line type distribution then will be each
The equivalent impedance of wind-driven generator is sequentially ingressed into system in trunk line type；If the wind power plant cluster electric network of emanant distribution is then
By the equivalent impedance of each wind-driven generator in emanant access system successively in parallel；
Step 2, the subsynchronous frequency characteristic for seeking wind power plant cluster electric network；
Step 3 divides group to the wind-driven generator progress k-means clustering algorithm in wind power plant, then carries out wind power plant one
The subsynchronous frequency of secondary network is equivalent；
Step 4 carries out the subsynchronous frequency Equivalent Model amendment of wind power plant.
The step 1 establishes the equivalent circuit of single wind generator, seeks the tool of the equivalent impedance of single wind generator
Body process is
When wind-driven generator is through serial supplementary line access system, it is f that frequency is flowed through in generator unit statorerSubsynchronous electric current
When, it is 2 π f that angular frequency is generated in air gaperRotating mmf, wind-driven generator is entered in terms of stator terminal, wherein ωrFor wind
The rotor frequency of power generator, natural resonance frequency
Series compensation degrees k and the relationship of serial supplementary line parameter are
Natural resonance frequency ωerAlso it can be acquired by following formula
The equivalent impedance of single wind generator
Wherein, revolutional slipXrFor wind power generator rotor reactance, XmFor mutual induction reactance, XsFor wind-driven generator
Stator reactance, XTFor transformer reactance, ReqFor the equivalent resistance of single wind generator, xeqFor the equivalent of single wind generator
Reactance；RrFor the rotor resistance of wind-driven generator, LrFor the rotor leakage inductance of wind-driven generator, RsFor the stator electricity of wind-driven generator
Resistance, LsFor the stator leakage inductance of wind-driven generator, L is the inductance of serial supplementary line, C is the capacitor of serial supplementary line, R is serial supplementary line
Resistance, LTFor transformer equivalent inductance, j is empty unit.
The detailed process for seeking the subsynchronous frequency characteristic of wind power plant cluster electric network in the step 2 is
Using series connection frequency sweep method, the system of research is simulated with positive sequence net, non-generator to be studied is used in network
Subtranient reactance is equivalent, and generator to be studied using its asynchronous generator model it is equivalent, each single wind generator etc.
A unit current source is placed in the generator amature side imitated in circuit, then changes the unitary current source frequency, measures the unit
Current source both end voltage, the voltage value are the equivalent impedance looked over from generator amature to be studied to system side, according to etc.
Imitate impedance ZeqThe real imaginary part of expression formula draws equivalent resistance, equivalent reactance curve varying with frequency；
Equivalent impedance expression is in the wind power plant cluster electric network of trunk line type distribution
Equivalent impedance expression is in the wind power plant cluster electric network of emanant distribution
Zeq=Zeq_k+(Xd1//Xd2//…//Xdk-1//Xdk+1//…//Xdn//Xs)=Req+jXeq
Wherein X "diFor the subtranient reactance of the i-th typhoon power generator, XsIt " is the reactance of Infinite bus system, Zeq_kFor wait grind
The equivalent impedance for the single wind generator studied carefully, n are the number of units of wind-driven generator in wind power plant.
Carrying out k-means clustering algorithm to the wind-driven generator in wind power plant in the step 3 divides the detailed process of group to be
Using the subsynchronous frequency characteristic situation of change of wind-driven generator as group's judgment criteria is divided, group's index d will be dividedijIt is identical
Wind-driven generator is divided into a group；When there are n typhoon power generators in wind power plant, n* (n-1)/2 distance can be obtained；
dijTo divide group's index, the subsynchronous frequency characteristic of wind-driven generator is characterized；
Wherein, Chebyshev's distance d1ij=max | Xi(ω)-Xj(ω) |, observation be single wind generator time frequency
Rate characteristic；Euclidean distanceWhat is observed is the similarity degree between each typhoon power generator；Xi
(ω) is subsynchronous frequency reactance value of the i-th typhoon power generator in series compensation degrees k and when generator speed is ω；Xj(ω) is the
Subsynchronous frequency reactance value of the j typhoon power generator in series compensation degrees k and when generator speed is ω；Q is Chebyshev's distance d1ij
Weighted value, take 50%.
The detailed process of the subsynchronous frequency equivalence of progress wind power plant primary network is in the step 3
Step 301, wind-powered electricity generation field parameters are equivalent；
1. generator parameter
xsIt is the reactance of generator unit stator, xrIt is the reactance of generator amature, xs_eqIt is the equivalent reactance of generator unit stator,
xr_eqIt is the equivalent reactance of generator amature respectively；xmIt is the excitation reactance of generator, xm_eqIt is the equivalent excitation electricity of generator
It is anti-；rsIt is the resistance of generator amature, rrIt is the resistance of generator amature, rs_eqIt is the equivalent resistance of generator unit stator, rr_eqIt is
The equivalent resistance of generator amature；M is the number of units of this group of wind-driven generators；
2. transformer parameter
STFor transformer capacity, ST_eqFor Equivalent Transformer capacity；ZTFor transformer impedance, ZT_eqFor Equivalent Transformer resistance
It is anti-；
Step 302, cluster electric network parameter predigesting
Each wind-driven generator in identical a group before the voltage at the grid-connected place of wind-driven generator after equivalence is equivalent to equivalence
The average value of the weighting of grid-connected place's voltage, the weight of each wind-driven generator are their own output powers；
A. the wind power plant cluster electric network of trunk line type distribution
Points of common connection PCC with for kth typhoon power generator impedance on voltage UkBetween voltage difference be U is grid entry point voltage, ZiIt is the impedance of i-th unit connecting cable, PjIt is that jth typhoon power generator is defeated
Power out；
It will 1 to the m wind-driven generator in the equivalent preceding same group be equivalent obtains if equivalent wind-driven generator 1 is
, the average voltage before merging after the weighting of m typhoon power generator is poorPiIt is that the i-th typhoon power generator is defeated
Power out, Zeq_1For the equivalent impedance of wind-driven generator 1 after equivalent merging, wind-driven generator 1 and public coupling after equivalent merging
Voltage difference between chalazaΔUiFor the voltage drop in the impedance of i-th equivalent wind-driven generator；
Equivalent front and backObtain the equivalent impedance of serial supplementary line Wherein LeqFor the equivalent inductance of serial supplementary line, CeqFor the equivalent capacity of serial supplementary line, ReqLine is mended for string
The equivalent resistance on road；
B. the wind power plant cluster electric network of emanant distribution
If the power factor of wind-driven generator is approximately 1, UkThe difference of voltage between bus PCC isU
It is the voltage value of wind-driven generator grid entry point, ZiIt is the impedance value of the cable of the i-th typhoon power generator connection, ZkIt is kth platform etc.
Imitate the impedance of wind-driven generator, PkIt is the active power of the equivalent wind-driven generator of kth platform；
If equivalent wind-driven generator 1 for will it is equivalent before the same group 1 Dao m wind-driven generator equivalence acquisition,
The average voltage of the weighting of this m typhoon power generator is poor before equivalentZeq_1It is sent out for wind-force after equivalent merging
The equivalent impedance of motor 1, voltage difference between equivalent rear wind-driven generator 1 and common coupling node
Equivalent front and backObtain the equivalent impedance of serial supplementary line
The subsynchronous modified detailed process of frequency Equivalent Model of wind power plant is carried out in the step 4 is
Step 401 obtains subsynchronous frequency characteristic after wind power plant equivalence
Single wind generator equivalent impedance Z ' after equivalenceeqExpression formula are as follows:
Wherein Rr_eqFor the equivalent rotor resistance of wind-driven generator, Xr_eqFor the equivalent rotor reactance of wind-driven generator, Xm_eq
It is equivalent mutual induction reactance, Rs_eqFor the equivalent stator resistance of wind-driven generator, Xs_eqFor the equivalent stator reactance of wind-driven generator,
XT_eqFor transformer equivalent reactance, LeqFor the equivalent inductance of serial supplementary line, CeqFor the equivalent capacity of serial supplementary line, ReqIt is mended for string
The equivalent resistance of route；
Z′eq=R 'eq+jX′eq
Wherein R 'eqFor wind power plant equivalent resistance, the X ' after equivalenceeqFor the wind power plant equivalent reactance after equivalence；
The error analysis of the equivalent front and back of step 402 wind power plant
The error of the equivalent front and back of wind power plant
Beneficial effect
The present invention can be used in the wind power plant equivalent modeling of sub-synchronous oscillation analysis, with one or more wind-driven generator table
Levy entire wind power plant, and there is similar subsynchronous frequency characteristic with wind power plant, be analysis wind power plant sub-synchronous oscillation mechanism and
Further take the basis of effective braking measure.
Detailed description of the invention
The subsynchronous frequency equivalent modeling method flow chart of Fig. 1 wind power plant；
Fig. 2 wind power plant trunk line type distribution schematic diagram；
The emanant distribution schematic diagram of Fig. 3 wind power plant；
Fig. 4 wind-driven generator string mends circuit diagram；
Fig. 5 wind-driven generator equivalent impedance schematic diagram；
Fig. 6 trunk line type is distributed equivalent impedance schematic diagram；
The emanant distribution equivalent impedance schematic diagram of Fig. 7；
The wind power plant equivalent model schematic diagram of tri- machine of Fig. 8 characterization；
The equivalent subsynchronous frequency impedance figure in front and back of Fig. 9 wind power plant.
Specific embodiment
With reference to the accompanying drawing, it elaborates to the present invention.Using certain three typhoon power generator as example, if this three typhoons power
Generator in emanant access system, wherein No. 1 and No. 2 be same model wind-driven generator, generator, transformer and
The relevant parameter of route such as following table, generator amature reactance therein, stator reactance, transformer reactance are to join under synchronizing frequency
Number, when calculating, need to convert.
Form wind power plant cluster electric network, in the wind power plant cluster electric network of emanant distribution each wind-driven generator etc.
Imitate impedance Zeq1、Zeq2、Zeq3In in emanant access system successively in parallel.
Using series connection frequency sweep method, the system of research is simulated with positive sequence net, non-generator to be studied is used in network
Subtranient reactance is equivalent, and generator to be studied is equivalent using its asynchronous generator model, the power generation in above-mentioned equivalent circuit
A unit current source is placed in machine rotor side, then changes its frequency, measures its both end voltage, as turns from generator to be studied
The equivalent impedance that son is looked over to system side draws equivalent resistance, equivalent reactance curve varying with frequency according to imaginary part in fact.
The subsynchronous frequency equivalent modeling method flow chart of Fig. 1 wind power plant.
Step 1, the equivalent circuit for establishing single wind generator, seek the equivalent impedance of single wind generator, according to wind
Electric field network topological structure establishes wind power plant cluster electric network；If the wind power plant cluster electric network of trunk line type distribution then will be each
The equivalent impedance of wind-driven generator is sequentially ingressed into system in trunk line type；Fig. 2 is wind power plant trunk line type distribution schematic diagram；If putting
The wind power plant cluster electric network of formula distribution is penetrated then by the equivalent impedance of each wind-driven generator in emanant access system successively in parallel
In system；Fig. 3 is the emanant distribution schematic diagram of wind power plant；
Step 2, the subsynchronous frequency characteristic for seeking wind power plant cluster electric network；
Step 3 divides group to the wind-driven generator progress k-means clustering algorithm in wind power plant, then carries out wind power plant one
The subsynchronous frequency of secondary network is equivalent；
Step 4 carries out the subsynchronous frequency Equivalent Model amendment of wind power plant.
Fig. 4 is that wind-driven generator string mends circuit diagram；The step 1 establishes the equivalent circuit of single wind generator,
The detailed process for seeking the equivalent impedance of single wind generator is
When wind-driven generator is through serial supplementary line access system, it is f that frequency is flowed through in generator unit statorerSubsynchronous electric current
When, it is 2 π f that angular frequency is generated in air gaperRotating mmf, wind-driven generator is entered in terms of stator terminal, wherein ωrFor wind
The rotor frequency of power generator, natural resonance frequency
Series compensation degrees k and the relationship of serial supplementary line parameter are
Natural resonance frequency ωerAlso it can be acquired by following formula
The equivalent impedance of single wind generator
Wherein, revolutional slipXrFor wind power generator rotor reactance, XmFor mutual induction reactance, XsFor wind-driven generator
Stator reactance, XTFor transformer reactance, ReqFor the equivalent resistance of single wind generator, XeqFor the equivalent of single wind generator
Reactance；RrFor the rotor resistance of wind-driven generator, LrFor the rotor leakage inductance of wind-driven generator, RsFor the stator electricity of wind-driven generator
Resistance, LsFor the stator leakage inductance of wind-driven generator, L is the inductance of serial supplementary line, C is the capacitor of serial supplementary line, R is serial supplementary line
Resistance, LTFor transformer equivalent inductance, j is empty unit.Fig. 5 is wind-driven generator equivalent impedance schematic diagram；
The detailed process for seeking the subsynchronous frequency characteristic of wind power plant cluster electric network in the step 2 is
Using series connection frequency sweep method, the system of research is simulated with positive sequence net, non-generator to be studied is used in network
Subtranient reactance is equivalent, and generator to be studied using its asynchronous generator model it is equivalent, each single wind generator etc.
A unit current source is placed in the generator amature side imitated in circuit, then changes the unitary current source frequency, measures the unit
Current source both end voltage, the voltage value are the equivalent impedance looked over from generator amature to be studied to system side, according to etc.
Imitate impedance ZeqThe real imaginary part of expression formula draws equivalent resistance, equivalent reactance curve varying with frequency；
Equivalent impedance expression is in the wind power plant cluster electric network of trunk line type distribution
Fig. 6 is that trunk line type is distributed equivalent impedance schematic diagram；
Equivalent impedance expression is in the wind power plant cluster electric network of emanant distribution
Zeq=Zeq_k+(Xd1//Xd2//…//Xdk-1//Xdk+1//…//Xdn//Xs)=Req+jXeq
Wherein X "diFor the subtranient reactance of the i-th typhoon power generator, XsIt " is the reactance of Infinite bus system, Zeq_kFor wait grind
The equivalent impedance for the single wind generator studied carefully, n are the number of units of wind-driven generator in wind power plant, and Fig. 7 is that emanant distribution is equivalent
Impedance schematic diagram.
Carrying out k-means clustering algorithm to the wind-driven generator in wind power plant in the step 3 divides the detailed process of group to be
Using the subsynchronous frequency characteristic situation of change of wind-driven generator as group's judgment criteria is divided, group's index d will be dividedijIt is identical
Wind-driven generator is divided into a group；When there are n typhoon power generators in wind power plant, n* (n-1)/2 distance can be obtained；
dijTo divide group's index, the subsynchronous frequency characteristic of wind-driven generator is characterized；
Wherein, Chebyshev's distance d1ij=max | Xi(ω)-Xj(ω) |, observation be single wind generator time frequency
Rate characteristic；Euclidean distanceWhat is observed is the similarity degree between each typhoon power generator；Xi
(ω) is subsynchronous frequency reactance value of the i-th typhoon power generator in series compensation degrees k and when generator speed is ω；Xj(ω) is the
Subsynchronous frequency reactance value of the j typhoon power generator in series compensation degrees k and when generator speed is ω；Q is Chebyshev's distance d1ij
Weighted value, take 50%.
The detailed process of the subsynchronous frequency equivalence of progress wind power plant primary network is in the step 3
Step 301, wind-powered electricity generation field parameters are equivalent；
1. generator parameter
xsIt is the reactance of generator unit stator, xrIt is the reactance of generator amature, xs_eqIt is the equivalent reactance of generator unit stator,
xr_eqIt is the equivalent reactance of generator amature respectively；xmIt is the excitation reactance of generator, xm_eqIt is the equivalent excitation electricity of generator
It is anti-；rsIt is the resistance of generator amature, rrIt is the resistance of generator amature, rs_eqIt is the equivalent resistance of generator unit stator, rr_eqIt is
The equivalent resistance of generator amature；M is the number of units of this group of wind-driven generators；
2. transformer parameter
STFor transformer capacity, ST_eqFor Equivalent Transformer capacity；ZTFor transformer impedance, ZT_eqFor Equivalent Transformer resistance
It is anti-；
Step 302, cluster electric network parameter predigesting
Each wind-driven generator in identical a group before the voltage at the grid-connected place of wind-driven generator after equivalence is equivalent to equivalence
The average value of the weighting of grid-connected place's voltage, the weight of each wind-driven generator are their own output powers；
A. the wind power plant cluster electric network of trunk line type distribution
Points of common connection PCC with for kth typhoon power generator impedance on voltage UkBetween voltage difference be U is grid entry point voltage, ZiIt is the impedance of i-th unit connecting cable, PjIt is that jth typhoon power generator is defeated
Power out；
It will 1 to the m wind-driven generator in the equivalent preceding same group be equivalent obtains if equivalent wind-driven generator 1 is
, the average voltage before merging after the weighting of m typhoon power generator is poorPiIt is that the i-th typhoon power generator is defeated
Power out, Zeq_1For the equivalent impedance of wind-driven generator 1 after equivalent merging, wind-driven generator 1 and public coupling after equivalent merging
Voltage difference between chalazaΔUiFor the voltage drop in the impedance of i-th equivalent wind-driven generator；
Equivalent front and backObtain the equivalent impedance of serial supplementary line Wherein LeqFor the equivalent inductance of serial supplementary line, CeqFor the equivalent capacity of serial supplementary line, ReqLine is mended for string
The equivalent resistance on road；
B. the wind power plant cluster electric network of emanant distribution
If the power factor of wind-driven generator is approximately 1, UkThe difference of voltage between bus PCC isU
It is the voltage value of wind-driven generator grid entry point, ZiIt is the impedance value of the cable of the i-th typhoon power generator connection,kIt is kth platform etc.
Imitate the impedance of wind-driven generator, PkIt is the active power of the equivalent wind-driven generator of kth platform；
If equivalent wind-driven generator 1 for will it is equivalent before the same group 1 Dao m wind-driven generator equivalence acquisition,
The average voltage of the weighting of this m typhoon power generator is poor before equivalentZeq_1It is sent out for wind-force after equivalent merging
The equivalent impedance of motor 1, voltage difference between equivalent rear wind-driven generator 1 and common coupling node
Equivalent front and backObtain the equivalent impedance of serial supplementary line
The subsynchronous modified detailed process of frequency Equivalent Model of wind power plant is carried out in the step 4 is
Step 401 obtains subsynchronous frequency characteristic after wind power plant equivalence
Single wind generator equivalent impedance Z ' after equivalenceeqExpression formula are as follows:
Wherein Rr_eqFor the equivalent rotor resistance of wind-driven generator, Xr_eqFor the equivalent rotor reactance of wind-driven generator, Xm_eq
It is equivalent mutual induction reactance, Rs_eqFor the equivalent stator resistance of wind-driven generator, Xs_eqFor the equivalent stator reactance of wind-driven generator,
XT_eqFor transformer equivalent reactance, LeqFor the equivalent inductance of serial supplementary line, CeqFor the equivalent capacity of serial supplementary line, ReqIt is mended for string
The equivalent resistance of route；
Z′eq=R 'eq+jX′eq
Wherein R 'eqFor wind power plant equivalent resistance, the X ' after equivalenceeqFor the wind power plant equivalent reactance after equivalence；
The error analysis of the equivalent front and back of step 402 wind power plant
The error of the equivalent front and back of wind power plant
K-means clustering algorithm is carried out to wind-driven generator before equivalent and divides group, by the subsynchronous frequency characteristic of wind-driven generator
Situation of change as group's judgment criteria is divided will there is the wind-driven generator of similar subsynchronous frequency characteristic to be divided into a group.1,2, No. 3
Wind-driven generator is divided into same a group.Fig. 8 is the wind power plant equivalent model schematic diagram of three machines characterization.
Wind-powered electricity generation field parameters equivalence and cluster electric network parameter predigesting are carried out, subsynchronous frequency characteristic after wind power plant equivalence is obtained
Curve.The equivalent front and back contrast schematic diagram of wind power plant is shown in Fig. 9.
Claims (5)
1. a kind of subsynchronous frequency equivalent modeling method of wind power plant, which is characterized in that the described method comprises the following steps:
Step 1, the equivalent circuit for establishing single wind generator, seek the equivalent impedance of single wind generator, according to wind power plant
Network topology structure establishes wind power plant cluster electric network；If the wind power plant cluster electric network of trunk line type distribution is then by each wind-force
The equivalent impedance of generator is sequentially ingressed into system in trunk line type；If the wind power plant cluster electric network of emanant distribution then will be each
The equivalent impedance of a wind-driven generator is in emanant access system successively in parallel；
Step 2, the subsynchronous frequency characteristic for seeking wind power plant cluster electric network；
Step 3 divides group to the wind-driven generator progress k-means clustering algorithm in wind power plant, then carries out the primary net of wind power plant
The subsynchronous frequency of network is equivalent；
Step 4 carries out the subsynchronous frequency Equivalent Model amendment of wind power plant；
The step 1 establishes the equivalent circuit of single wind generator, seeks the specific mistake of the equivalent impedance of single wind generator
Cheng Wei
When wind-driven generator is through serial supplementary line access system, it is f that frequency is flowed through in generator unit statorerSubsynchronous electric current when,
It is 2 π f that it generates angular frequency in air gaperRotating mmf, wind-driven generator is entered in terms of stator terminal, wherein ωrFor wind-force hair
The rotor frequency of motor, natural resonance frequency
Series compensation degrees k and the relationship of serial supplementary line parameter are
Natural resonance frequency ωerAlso it can be acquired by following formula
The equivalent impedance of single wind generator
Wherein, revolutional slipXrFor wind power generator rotor reactance, XmFor mutual induction reactance, XsFor aerogenerator stator
Reactance, XTFor transformer reactance, ReqFor the equivalent resistance of single wind generator, XeqFor the equivalent electricity of single wind generator
It is anti-；RrFor the rotor resistance of wind-driven generator, LrFor the rotor leakage inductance of wind-driven generator, RsFor the stator resistance of wind-driven generator,
LsFor the stator leakage inductance of wind-driven generator, L is the inductance of serial supplementary line, C is the capacitor of serial supplementary line, the electricity that R is serial supplementary line
Resistance, LTFor transformer equivalent inductance, j is empty unit.
2. the subsynchronous frequency equivalent modeling method of wind power plant according to claim 1, which is characterized in that in the step 2
The detailed process for seeking the subsynchronous frequency characteristic of wind power plant cluster electric network is
Using series connection frequency sweep method, the system of research is simulated with positive sequence net, non-generator to be studied is used secondary temporary in network
State reactance is equivalent, and generator to be studied is equivalent using its asynchronous generator model, in the equivalent electricity of each single wind generator
A unit current source is placed in generator amature side in road, then changes the unitary current source frequency, measures the unitary current
Source both end voltage, which is the equivalent impedance looked over from generator amature to be studied to system side, according to equivalent resistance
Anti- ZeqThe real imaginary part of expression formula draws equivalent resistance, equivalent reactance curve varying with frequency；
Equivalent impedance expression is in the wind power plant cluster electric network of trunk line type distribution
Equivalent impedance expression is in the wind power plant cluster electric network of emanant distribution
Zeq=Zeq_k+(X″d1//X″d2//...//X″dk-1//X″dk+1//...//X″dn//X″s)=Req+jXeq
Wherein X "diFor the subtranient reactance of the i-th typhoon power generator, X "sFor the reactance of Infinite bus system, Zeq_kIt is to be studied
The equivalent impedance of single wind generator, n are the number of units of wind-driven generator in wind power plant.
3. the subsynchronous frequency equivalent modeling method of wind power plant according to claim 1, which is characterized in that in the step 3
Carrying out k-means clustering algorithm to the wind-driven generator in wind power plant divides the detailed process of group to be
Using the subsynchronous frequency characteristic situation of change of wind-driven generator as group's judgment criteria is divided, group's index d will be dividedijIdentical wind-force
Generator is divided into a group；When there are n typhoon power generators in wind power plant, n × (n-1)/2 distance can be obtained；
dijTo divide group's index, the subsynchronous frequency characteristic of wind-driven generator is characterized；
Wherein, Chebyshev's distance d1ij=max | Xi(ω)-Xj(ω) |, observation be single wind generator secondary frequencies it is special
Property；Euclidean distanceWhat is observed is the similarity degree between each typhoon power generator；Xi(ω)
Subsynchronous frequency reactance value for the i-th typhoon power generator in series compensation degrees k and when generator speed is ω；Xj(ω) is jth platform
Subsynchronous frequency reactance value of the wind-driven generator in series compensation degrees k and when generator speed is ω；Q is Chebyshev's distance d1ij's
Weighted value takes 50%.
4. the subsynchronous frequency equivalent modeling method of wind power plant according to claim 1, which is characterized in that in the step 3
The detailed process of subsynchronous frequency equivalence for carrying out wind power plant primary network is
Step 301, wind-powered electricity generation field parameters are equivalent；
Generator parameter includes:
xsIt is the reactance of generator unit stator, xrIt is the reactance of generator amature, xs_eqIt is the equivalent reactance of generator unit stator, xr_eqPoint
It is not the equivalent reactance of generator amature；xmIt is the excitation reactance of generator, xm_eqIt is the equivalent excitation reactance of generator；rsIt is
The resistance of generator amature, rrIt is the resistance of generator amature, rs_eqIt is the equivalent resistance of generator unit stator, rr_eqIt is generator
The equivalent resistance of rotor；M is the number of units of this group of wind-driven generators；
Transformer parameter includes:
STFor transformer capacity, ST_eqFor Equivalent Transformer capacity；ZTFor transformer impedance, ZT_eqFor Equivalent Transformer impedance；
Step 302, cluster electric network parameter predigesting
Each wind-driven generator is grid-connected in identical a group before the voltage at the grid-connected place of wind-driven generator after equivalence is equivalent to equivalence
Locate the average value of the weighting of voltage, the weight of each wind-driven generator is their own output power；
The wind power plant cluster electric network of situation a. trunk line type distribution
Points of common connection PCC with for kth typhoon power generator impedance on voltage UkBetween voltage difference beU is grid entry point voltage, ZiIt is the impedance of i-th unit connecting cable, PjIt is jth typhoon power hair
The power of motor output；
If equivalent wind-driven generator 1 be will 1 to the m wind-driven generator in the equivalent preceding same group is equivalent obtains, conjunction
And the average voltage after the weighting of preceding m typhoon power generator is poorPiIt is that the i-th typhoon power generator exports
Power, Zeq_1For the equivalent impedance of wind-driven generator 1 after equivalent merging, wind-driven generator 1 and point of common coupling after equivalent merging
Between voltage differenceΔUiFor the voltage drop in the impedance of i-th equivalent wind-driven generator；
Equivalent front and backObtain the equivalent impedance of serial supplementary line Wherein LeqFor the equivalent inductance of serial supplementary line, CeqFor the equivalent capacity of serial supplementary line, ReqLine is mended for string
The equivalent resistance on road；
The wind power plant cluster electric network of the emanant distribution of situation b.
If the power factor of wind-driven generator is approximately 1, UkThe difference of voltage between bus PCC isU is wind
The voltage value of power generator grid entry point, ZiIt is the impedance value of the cable of the i-th typhoon power generator connection, ZkIt is the equivalent wind of kth platform
The impedance of power generator, PkIt is the active power of the equivalent wind-driven generator of kth platform；
If equivalent wind-driven generator 1 for will it is equivalent before the same group 1 Dao m wind-driven generator equivalence acquisition, it is equivalent
The average voltage of the weighting of this m typhoon power generator is poor beforeZeq_1For wind-driven generator after equivalent merging
1 equivalent impedance, voltage difference between equivalent rear wind-driven generator 1 and common coupling node
Equivalent front and backObtain the equivalent impedance of serial supplementary line
5. the subsynchronous frequency equivalent modeling method of wind power plant according to claim 1, which is characterized in that in the step 4
Carrying out the subsynchronous modified detailed process of frequency Equivalent Model of wind power plant is
Step 401 obtains subsynchronous frequency characteristic after wind power plant equivalence
Single wind generator equivalent impedance Z ' after equivalenceeqExpression formula are as follows:
Wherein Rr_eqFor the equivalent rotor resistance of wind-driven generator, Xr_eqFor the equivalent rotor reactance of wind-driven generator, Xm_eqIt is
Imitate mutual induction reactance, Rs_eqFor the equivalent stator resistance of wind-driven generator, Xs_eqFor the equivalent stator reactance of wind-driven generator, XT_eqFor
Transformer equivalent reactance, LeqFor the equivalent inductance of serial supplementary line, CeqFor the equivalent capacity of serial supplementary line, ReqFor serial supplementary line
Equivalent resistance；
Z′eq=R 'eq+jX′eq
Wherein R 'eqFor wind power plant equivalent resistance, the X ' after equivalenceeqFor the wind power plant equivalent reactance after equivalence；
The error analysis of the equivalent front and back of step 402 wind power plant
The error of the equivalent front and back of wind power plant
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Citations (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| 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 |
| CN102760191A (en) * | 2012-06-26 | 2012-10-31 | 西安交通大学 | Double-fed machine set wind power station equivalent modeling system and method based on rotation speed grouping |
| CN103870923A (en) * | 2014-03-03 | 2014-06-18 | 华北电力大学 | Information entropy condensation type hierarchical clustering algorithm-based wind power plant cluster aggregation method |
| CN105703396A (en) * | 2016-03-21 | 2016-06-22 | 广西电网有限责任公司电力科学研究院 | Multi-turbine characterization equivalent modeling method of double-fed wind power plant |
Family Cites Families (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN102682185B (en) * | 2011-03-10 | 2014-07-09 | 华锐风电科技(集团)股份有限公司 | Single wind turbine wind power prediction method |
-
2016
- 2016-07-01 CN CN201610515963.4A patent/CN106168994B/en active Active
Patent Citations (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| 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 |
| CN102760191A (en) * | 2012-06-26 | 2012-10-31 | 西安交通大学 | Double-fed machine set wind power station equivalent modeling system and method based on rotation speed grouping |
| CN103870923A (en) * | 2014-03-03 | 2014-06-18 | 华北电力大学 | Information entropy condensation type hierarchical clustering algorithm-based wind power plant cluster aggregation method |
| CN105703396A (en) * | 2016-03-21 | 2016-06-22 | 广西电网有限责任公司电力科学研究院 | Multi-turbine characterization equivalent modeling method of double-fed wind power plant |
Non-Patent Citations (3)
| Title |
|---|
| 双馈风电场并网系统的次同步振荡特性及抑制策略研究;赵斌;《中国博士学位论文全文数据库 工程科技Ⅱ辑》;20160115;C042-84 |
| 基于聚类算法的风电场动态等值问题研究;王聪;《中国优秀硕士学位论文全文数据库 工程科技II辑》;20121015;C042-875 |
| 风电场动态等值模型的多机表征方法;米增强 等;《电工技术学报》;20100526;第25卷(第5期);162-169 |
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