CN107769227B - 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
-
- 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, specific steps are as follows: setting wind power plant inner blower number of units n, by calculating the equivalent parameters that this n platform equivalence is single unit and its leading-out terminal transformer；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 calculated generating set equivalent parameters, transformer equivalent parameters and the series-parallel equivalent parameters of collector system establish the simplification Equivalent Model of wind power plant.The invention is applied in the subsynchronous equivalent modeling analysis of wind power plant.When specificity analysis subsynchronous using Equivalent Model progress wind power plant, it can be reduced time-domain-simulation calculation amount under the precision for reaching detailed model, shorten 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, are related to a kind of wind power plant equivalent modeling side suitable for subsynchronous research
Method.
Background technique
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, adds up installed capacity and 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 far from load center
It applies.But Large Scale Wind Farm Integration is by series capacitance multi-line power transmission that there are sub-synchronous oscillation threats.In face of complicated extensive electric power
System establishes the detailed electrical-magnetic model of total system and carries out Practical Project research, undoubtedly theoretically method the most accurate.By
In the differential equation group that the detail mathematic model of blower is multivariable, solution procedure is complicated.And large-scale electro-magnetic transient is imitated
It is very not only difficult to endure on time loss, but also 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 is generally required to be separated by 5~9 times of rotor diameters between unit on prevailing wind direction, be required on perpendicular to prevailing wind direction
It is separated by general 3~5 times of rotor diameters between unit.One large-scale wind power plant usually possesses tens of or even hundreds MW class wind
Motor group, internal collector system have larger impact to the oscillation of power characteristic of wind power plant input power grid.
According to existing bibliography " Equivalencing the collector system of a large wind
Power plant " thought of collector system power equivalence is proposed, it is active and idle etc. consumed by collector system by solving
It is worth the internal driving of collector system out.But the Equivalent Model that the document proposes only only accounts for every Wind turbines 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 " it is also that the impedance value of its collector system is solved by the thinking of power equivalence, but assuming that Wind turbines
In the case that outlet voltage is all the same, derive that line current does not meet reality, there are problems.
Currently, a kind of method can be counted not yet and current amplitude and phase while directly calculate wind power plant current collection system
Impedance value in system equivalence.
Summary of the invention
In order to solve the above deficiency, the present invention will propose a kind of wind power plant equivalent modeling side suitable for subsynchronous research
Method.The invention proposes a kind of wind power plants suitable for subsynchronous research for considering unit leading-out terminal current amplitude and phase simultaneously
Equivalent modeling method.The ginseng related to equivalent Wind turbines of series equivalent approach part collector system impedance parameter in wind power plant is solved first
Number establishes part in series Equivalent Model, then on the basis of series equivalent approach model, solves current collection system 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 entire wind power plant, and the model and modal damping of the practical detailed model under sub-synchronous oscillation are compared,
Demonstrate the validity of Equivalent Model and the efficiency of analysis emulation.
To achieve the goals above, technical scheme is as follows:
A kind of wind-powered electricity generation station equivalent modeling method suitable for subsynchronous research, includes the following steps:
Step 1: setting the number of units of Wind turbines in wind power plant as n platform, according to the Wind turbines parameter aggregation etc. of every 5MW
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, 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 motor group outlet end line；It is resistance and reactance value total after n platform unit is equivalent；For i
Leading-out terminal current amplitude after platform unit is equivalent；
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 the parallel connection etc. for calculating collector system
It is worth impedance,In formula: IniFor i-th after series equivalent approach equivalent unit leading-out terminal
Current amplitude, ω be 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 Wind turbines leading-out terminal respectively after series equivalent approach
The resistance and reactance value of route；For m platform unit equivalence leading-out terminal total current amplitude,It is m platform unit parallel connection etc.
Total resistance and reactance value after 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.
Further, in the step 1, the parametric solution of the equivalent parameters of Wind turbines and each generator terminal step-up transformer is calculated
Method are as follows: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 equivalent front and back generator rating power；Vi, VeqRespectively etc.
Value front and back rated voltage；Xls, Xls_eqAnd Xlr, Xlr_eqRespectively equivalent front and back generator unit stator leakage reactance and rotor leakage reactance；
XM, XM_eqRespectively equivalent front and back generator excitation reactance；Rs, Rs_eqAnd Rr, Rr_eqRespectively equivalent front and back generator unit stator electricity
Resistance and rotor resistance, ZT_WTG, Zeq_WFRespectively equivalent front and back generator terminal step-up transformer impedance value.
Further, in the step 2, collector system series equivalent approach impedanceWithAre as follows:
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 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,For n platform unit it is equivalent after leading-out terminal leading-out terminal current amplitude,For n platform
Leading-out terminal current phase after unit is equivalent；
The then impedance of series equivalent approach collector system are as follows:Every in wind power plant
When blower wind speed is all the same, can simplify for
In formula: It is resistance and reactance value total after n platform unit is equivalent,For n platform unit it is equivalent after leading-out terminal current amplitude,For leading-out terminal current phase after n platform unit equivalence, An,BnRespectively
Pilot process iteration variable, Ii,IjThe amplitude of respectively i-th, j platform unit leading-out terminal electric current,For i-th, j platform unit outlet
Hold the phase of electric current；
When Fans leading-out terminal current amplitude every in wind power plant is approximately equal, impedance computation formula can simplify for
In this up-to-date style: Be resistance total after n platform unit is equivalent and
Reactance value,For leading-out terminal current amplitude after n platform unit equivalence, An,BnRespectively pilot process iteration amount, Ri,Respectively
The resistance and reactance value of i-th Wind turbines outlet end line,For i-th Wind turbines leading-out terminal current phase.
Further, in the step 3, collector system parallel connection equivalent impedanceWithCalculating process are as follows:
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 is system angular frequency,For i-th unit leading-out terminal current phase,Respectively i-th Wind turbines leading-out terminal
The resistance and reactance value of route, m are equivalent blower number of units in parallel,For equivalence i platform unit leading-out terminal current amplitude in parallel,For equivalence i platform unit outlet total current phase in parallel；
The impedance of equivalence collector system in parallel are as follows:
In formula: It is m
Total resistance and reactance value after platform unit is equivalent,For m platform unit it is equivalent after leading-out terminal current amplitude,For m platform unit
The corresponding phase A of electric current after equivalencem,Bm,Ci,DiRespectively pilot process iteration amount, Ini,InjRespectively i-th, j platform machine after equivalence
The amplitude of group leading-out terminal electric current,For the corresponding phase of i-th, j platform unit electric current after equivalence；
When series equivalent approach part leading-out terminal current amplitude is approximately uniform, impedance computation can simplify are as follows:
In this up-to-date style: For
Wind turbines leading-out terminal current phase after i-th series equivalent approach,It is resistance and reactance total after m platform unit is equivalent
Value,For m platform unit it is equivalent after leading-out terminal current amplitude,For the corresponding phase of leading-out terminal electric current after m platform unit equivalence
Am,Bm,Ci,DiRespectively pilot process iteration amount, Ini,InjThe amplitude of i-th, j platform unit leading-out terminal electric current respectively after equivalence,For the corresponding phase of i-th, j platform equivalence unit electric current after equivalence；
Further, in the step 4, practical mode when wind power plant sub-synchronous oscillation is obtained according to the detailed model of system
With damping relation, proposed Equivalent Simplification model is compared, the reasonability and validity of model are verified.
It further, further include that wind power plant detailed model and simplification Equivalent Model are built in PSCAD/EMTDC software.
Beneficial effect
1, the wind power plant simplification Equivalent Model established can replace actual wind power plant detailed model, to simplify emulation
The system model of analysis.It realizes through naive model and studies the effect of complication system.
2, when carrying out the subsynchronous specificity analysis of wind power plant with the simplified model established, calculation scale can be greatly reduced.
The time for reducing the analysis of total system electromagnetic transient simulation, improve assessment efficiency.
3, when the subsynchronous specificity analysis analysis of established simplified model and detailed model progress wind power plant used compares, energy
Preferably meet the damping mode of detailed model.
Detailed description of the invention
Fig. 1 is for theory deduction series equivalent approach and equivalent schematic diagram in parallel.
Wherein, it sets unit in wind power plant and shares m column, each column contains Wind turbines n platform.
Fig. 2 is the wind power plant internal model of the use in specific embodiment.
Wherein, it sets unit in wind power plant and shares 4 column, each column contains Wind turbines 5.
Fig. 3 is the detailed model and simplification Equivalent Model after each column series equivalent approach.
Fig. 4 is the detailed model and simplification Equivalent Model of equivalent front and back in parallel.
Fig. 5 is the Equivalent Model that Wind turbines pass through serial supplementary line access system.
Active power when Fig. 6 is the steady-state operation of equivalence front and back.
Reactive power when Fig. 7 is the steady-state operation of equivalence front and back.
Specific embodiment
It is specifically described in conjunction with the above figure.
A kind of wind-powered electricity generation station equivalent modeling method suitable for subsynchronous research, includes the following steps:
Step 1, the number of units of Wind turbines in wind power plant is set as n platform, according to the Wind turbines parameter aggregation etc. of every 5MW
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 are system angular frequency,For i-th unit leading-out terminal current phase, Ri,Respectively i-th
The resistance and reactance value of platform Wind turbines outlet end line；It is resistance and reactance value total after n platform unit is equivalent；For leading-out terminal current amplitude after i platform unit equivalence；
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 Wind turbines outlet end line respectively after series equivalent approach
Resistance and reactance value；For m platform unit leading-out terminal total current amplitude,It is electricity total after the unit parallel connection of m platform is equivalent
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 calculation method of the equivalent parameters of Wind turbines and each generator terminal step-up transformer are as follows: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 equivalent front and back generator rating power；Vi, VeqRespectively etc.
Value front and back rated voltage；Xls, Xls_eqAnd Xlr, Xlr_eqRespectively equivalent front and back generator unit stator leakage reactance and rotor leakage reactance；
XM, XM_eqRespectively equivalent front and back generator excitation reactance；Rs, Rs_eqAnd Rr, Rr_eqRespectively equivalent front and back generator unit stator electricity
Resistance and rotor resistance.ZT_WTG, Zeq_WFRespectively equivalent front and back generator terminal step-up transformer impedance value.
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
It can be indicated by attached drawing 3 it is found that then connecting and collecting the power consumption of every section of electric line are as follows:
In formula:It is) peak value of each section of electric current of current through line；Ri(i=1,2...n), XLi(i=1,
It 2...n) is line impedance value,For equivalent preceding i platform unit leading-out terminal total current amplitude,It is multiple for i-th line road
The loss of power.
The totalizing wattmeter of consumption is shown as:
According to the principle of the power equivalence proposed, the power of equivalent front and back collector system consumption should be equal.Therefore, disappear
The general power of consumption can also indicate are as follows:
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 are as follows:
In formula: It is resistance and reactance value total after n platform unit is equivalent,For leading-out terminal total current amplitude after i platform unit equivalence, An,BnRespectively pilot process iteration amount, Ii,IjRespectively i-th, j platform
The amplitude of unit leading-out terminal electric current,For the corresponding phase of i-th, j platform unit electric current.
When Fans leading-out terminal current amplitude every in wind power plant is approximately equal, can simplify for
In this up-to-date style: Ri,The resistance and reactance value of respectively i-th Wind turbines outlet end line,An,BnRespectively pilot process iteration amount,For i-th Wind turbines leading-out terminal
Current phase.
In above-mentioned steps 3, collector system parallel connection equivalent impedance is calculatedWithThe electricity of leading-out terminal after series equivalent approach
StreamElectric current after then polymerizeingConnection after equivalence
The impedance value Z on winding thread roadni=Rni+jXLni。
By attached drawing 4 it is found that then the power consumption of every section of electric line of collection in parallel can indicate are as follows:
In formula: IniIt (i=1,2...m) 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 principle of the power equivalence proposed, the power of equivalent front and back collector system consumption should be equal.Therefore, disappear
The general power of consumption can also indicate are as follows:
In formula:Be it is in parallel equivalent after total current amplitude,For equivalent impedance value in parallel
According to the principle of the power equivalence proposed, the power of equivalent front and back collector system consumption should be equal.Parallel connection etc.
The impedance of value collector system is are as follows:
In formula: It is m
Total resistance and reactance value after platform unit is equivalent,For m platform unit it is equivalent after leading-out terminal current amplitude,For m platform unit
The corresponding phase of electric current, A after equivalencem,Bm,Ci,DiRespectively pilot process iteration amount, Ini,InjRespectively i-th, j platform after equivalence
The amplitude of unit leading-out terminal electric current,For the corresponding phase of i-th, j platform unit electric current after equivalence；
Before equivalence in parallel, when unit leading-out terminal current amplitude is approximately uniform, above formula simplifies are as follows:
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, the practical mode and damping when wind power plant sub-synchronous oscillation are gone out according to the detailed model of system, it is 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 to specific embodiment, wind power plant is set as 4 column, unit 5 contained by each column.
One .5MW Wind turbines parameter of table
Two, single motor step-up transformer impedance group parameter of table
The parametric solution calculation method of the equivalent parameters of Wind turbines and each generator terminal step-up transformer are as follows: 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 three, of table is equivalent
Step-up transformer impedance group parameter after four, of table is equivalent
According in step 2, according to 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
Five, series equivalent approach line parameter circuit value of table
The impedance of series equivalent approach collector system is are as follows:Every in wind power plant
When blower wind speed is all the same, can simplify for Finally solve
The impedance value of series equivalent approach each column out are as follows: Req=0.651 Ω, XLeq=1.046 Ω
In formula: in this up-to-date style: For i-th Wind turbines leading-out terminal electric current
Phase.
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 electricity of leading-out terminal after series equivalent approach
Stream isThen leading-out terminal electric current after equivalence
The impedance of equivalence collector system in parallel is are as follows:When series equivalent approach part
When leading-out terminal current amplitude is approximately uniform, above formula simplifies are as follows:
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-th series equivalent approach.
Embodiment
Wind power plant detailed model and simplification Equivalent Model are built in PSCAD/EMTDC software, carry out simulation analysis.Comparison
Difference operates normally and exports active and reactive power under situation, and active and reactive power and mode when sub-synchronous oscillation occur for comparison
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 route.The equivalent front and back specific situation of active reactive Oscillatory mode shape such as following table.As can be seen from the table and equivalent front and back is secondary
The damping of synchronized oscillation dominant mode can preferably meet very much, 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: the equivalent active Oscillatory mode shape in front and back
Table six: equivalent front and back reactive power oscillation mode
The subsynchronous equivalence method of wind power plant proposed by the present invention, it is contemplated that each Wind turbines leading-out terminal current amplitude and phase
The case where when position is not exactly the same, power equivalence can preferably be suitable for subsynchronous model analysis.Power simplification Equivalent Model
Realize the purpose that simplified operation improves efficiency.
To sum up, a kind of wind-powered electricity generation station equivalent modeling method suitable for subsynchronous research of the invention sets wind in wind power plant
Board number n, by calculating the equivalent parameters that this n platform equivalence is single unit and its leading-out terminal transformer；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 calculated generating set equivalent parameters, transformer equivalent parameters and
The series-parallel equivalent parameters of collector system establish the simplification Equivalent Model of wind power plant.The invention is applied to the subsynchronous equivalence of wind power plant and builds
In mould analysis.When specificity analysis subsynchronous using Equivalent Model progress wind power plant, it can subtract under the precision for reaching detailed model
Few time-domain-simulation calculation amount, 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 specific features described in conjunction with this embodiment or example, knot
Structure, material or feature are included at least one embodiment or example of the invention.In the present specification, to above-mentioned term
Schematic representation may not refer to the same embodiment or example.Moreover, specific features, structure, material or the spy of description
Point can be combined in any suitable manner in any one or more of the embodiments or examples.
Although an embodiment of the present invention has been shown and described, it will be understood by those skilled in the art that: not
A variety of change, modification, replacement and modification can be carried out to these embodiments in the case where being detached from the principle of the present invention and objective, this
The range of invention is defined by the claims and their equivalents.
Claims (6)
1. a kind of wind-powered electricity generation station equivalent modeling method suitable for subsynchronous research, which comprises the steps of:
Step 1: setting the number of units of Wind turbines in wind power plant as n platform, after the Wind turbines parameter aggregation equivalence of every 5MW
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 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, and Ii is that i-th unit goes out
The current amplitude of line end, ω are system angular frequency,For i-th Wind turbines leading-out terminal current phase, Ri, XLiRespectively i-th
The resistance and reactance value of platform Wind turbines outlet end line；It is resistance and reactance value total after n platform unit is equivalent；For leading-out terminal current amplitude after i platform 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 the parallel connection etc. for calculating collector system
It is worth impedance,In formula: IniFor i-th after series equivalent approach equivalent unit leading-out terminal
Current amplitude, ω be system angular frequency,For i-th unit leading-out terminal electric current initial phase, X after series equivalent approachniIt is series connection etc.
I-th equivalent line end reactance value after value；Rni,The resistance of i-th Wind turbines outlet end line respectively after series equivalent approach
And reactance value；For m platform unit equivalence leading-out terminal total current amplitude,It is total after the unit parallel connection of m platform is equivalent
Resistance and reactance value；
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；Simultaneously according to generating set relevant parameter in wind power plant, transformer is related
Parameter and collector system relevant parameter establish the detailed model of wind power plant.
2. a kind of 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 calculation method of the equivalent parameters of Wind turbines and each generator terminal step-up transformer are as follows: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 equivalent front and back generator rating power；V, VeqRespectively equivalent front and back
Rated voltage；Xls, Xls_eqAnd Xlr, Xlr_eqRespectively equivalent front and back generator unit stator leakage reactance and rotor leakage reactance；XM,
XM_eqRespectively equivalent front and back generator excitation reactance；Rs, Rs_eqAnd Rr, Rr_eqRespectively equivalent front and back generator unit stator resistance and
Rotor resistance, ZT_WTG, Zeq_WFRespectively equivalent front and back generator terminal step-up transformer impedance value.
3. a kind of 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, IiFor the i-th unit leading-out terminal
Current amplitude, ω be system angular frequency,For n platform unit it is equivalent after leading-out terminal leading-out terminal current amplitude,For n platform machine
Leading-out terminal current phase after group is equivalent；
The then impedance of series equivalent approach collector system are as follows:Every Fans in wind power plant
When wind speed is all the same, can simplify for
In formula: It is resistance and reactance value total after n platform unit is equivalent,For n platform unit it is equivalent after leading-out terminal current amplitude,For leading-out terminal current phase after n platform unit equivalence, An,BnRespectively
For pilot process iteration variable, Ii,IjThe amplitude of respectively i-th, j platform unit leading-out terminal electric current,Go out for i-th, j platform unit
The phase of line end electric current；
When Fans leading-out terminal current amplitude every in wind power plant is approximately equal, impedance computation formula can simplify for
In this up-to-date style: It is resistance and reactance total after n platform unit is equivalent
Value,For leading-out terminal current amplitude after n platform unit equivalence, An,BnRespectively pilot process iteration amount, Ri,Respectively i-th
The resistance and reactance value of platform Wind turbines outlet end line,For i-th Wind turbines leading-out terminal current phase.
4. a kind of 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 are as follows: 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 group leading-out terminal electric current
Phase,The resistance and reactance value of respectively i-th Wind turbines outlet end line, m are equivalent blower number of units in parallel,For equivalence i platform unit leading-out terminal current amplitude in parallel,For equivalence i platform unit outlet total current phase in parallel；
The impedance of equivalence collector system in parallel are as follows:
In formula: When series equivalent approach portion
Separate line end current amplitude it is approximately uniform when, impedance computation can simplify are as follows:
In this up-to-date style: It is i-th group
Wind turbines leading-out terminal current phase after series equivalent approach,It is resistance and reactance value total after m platform unit is equivalent,For m platform unit it is equivalent after leading-out terminal current amplitude,For m platform unit it is equivalent after the corresponding phase of leading-out terminal electric current,
Am,Bm,Ci,DiRespectively pilot process iteration amount, Ini, InjThe amplitude of i-th, j platform unit leading-out terminal electric current respectively after equivalence,For the corresponding phase of i-th, j platform equivalence unit electric current after equivalence.
5. a kind of 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, practical mode and damping relation when obtaining wind power plant sub-synchronous oscillation according to the detailed model of system, comparison
Itd is proposed Equivalent Simplification model verifies the reasonability and validity of model.
6. a kind of wind-powered electricity generation station equivalent modeling method suitable for subsynchronous research according to claim 1, it is characterised in that:
It further include that wind power plant detailed model and simplification Equivalent Model are built in PSCAD/EMTDC software.
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