CN103474986B - A kind of long-time scale power system frequency fluctuation simulation method - Google Patents
A kind of long-time scale power system frequency fluctuation simulation method Download PDFInfo
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Abstract
The invention discloses a kind of long-time scale power system frequency fluctuation simulation method, including：With reference to the influence that wind power wave characteristic is controlled power system frequency, wind power plant is increased in the control of original power system frequency and participates in power system frequency control, set up long-time scale power system frequency emulation platform；Using the long-time scale power system frequency emulation platform set up, the influence to wind power fluctuation to power system frequency control carries out long time scale simulation analysis.Long-time scale power system frequency fluctuation simulation method of the present invention, the defects such as power system frequency simulation velocity in the prior art slow, power equipment safety in operation difference and economic power system difference can be overcome, to realize that power system frequency simulation velocity is fast, the advantage that power equipment safety in operation is good and economic power system is good.
Description
Technical field
The present invention relates to field of power, in particular it relates to a kind of long-time scale power system frequency fluctuation is emulated
Method.
Background technology
It is well known that power system frequency is one of important indicator of the quality of power supply, the frequency response of power network power train
Equilibrium relation between system active power and load, is the important control parameter of Operation of Electric Systems, the electric power with users
Equipment and generating equipment safety in itself and efficiency have close relationship.The frequency departure of power system, not only to electric energy
The equipment operation of user and power system is all caused harm, and can also influence the economy of whole power network, and big face can be caused when serious
Product has a power failure, or even disintegrates whole power system.
As economic and society fast development, electricity needs steeply rise, electric network composition becomes increasingly complex, the quality of power supply
It is required that more and more higher.On the other hand with the foundation of generation of electricity by new energy power system, especially wind-electricity integration operation, to power train
The operation of system and scheduling method generate significant impact.The maximum difference that wind-power electricity generation and traditional energy generate electricity is its primary energy
It is uncontrollable so that wind-power electricity generation has the features such as stochastic volatility and intermittence.Conventional electric power system has been generally acknowledged that load can not
Control, generate electricity it is controllable, thus can by adjust generating set exert oneself adapt to load variations with ensure power system frequency stabilization.
With the gradually increase of wind-powered electricity generation permeability, this control model in some periods, such as load valley period, it is difficult to ensure that frequency
Stabilization.In addition the mismatch feature between THE WIND ENERGY RESOURCES IN CHINA and load determined and concentrated using Large Copacity more than China's Wind Power Generation
Exploitation, long-distance sand transport concentrates the development mode for accessing power network, and frequency and the dominant eigenvalues control to power system are proposed
Requirement higher.
Therefore, in the case where conventional electric power generation resources regulation is limited in one's ability, it is necessary to study new energy power swing to electricity
The influence of Force system frequency carries out simulation analysis.But it is existing to be also directed to power system frequency without any one simulation software
Analyze and specially set up.Current power system simulation software mainly has：(1) Bang Naweier power office develops BPA programs and electricity
Magnetic transient state program EMTP；(2) the PSCAD/EMTDC programs that D.C. high voltage transmission research center in Manitoba is developed；(3) German west gate
The power system simulation software NETOMAC that subsidiary develops；(4) the power system of China Electric Power Research Institute's exploitation divides assemblage
Conjunction program PSASP；(5) the scientific and engineering computing software MATLAB that Math Works companies develop[1].Major function is respectively：
BPA programs are mainly used to calculate trend and transient stability.Additionally, Automatic Generation Control（AGC）With region interconnection
Power Control is combined, and by the power system of some unit shareds or area power deviation, marine tidal-current energy can be made faster to receive
Hold back[2].PSD-BPA transient stability programs be mainly used in analyze power system in the steady state be subject to various interference when power system
Dynamic behaviour；
EMTP programs are mainly used in calculating electromagnetic transient in power system；
PSCAD/EMTDC software developments are that the typical case of PSCAD/EMTDC should in order to study D.C. high voltage transmission power system
With being to calculate power system to be disturbed or during Parameters variation, the rule that parameter is changed over time, in addition PSCAD/EMTDC softwares
It is widely used in the emulation of D.C. high voltage transmission, the design of FACTS controllers, harmonic analysis in power system and field of power electronics
Calculate.
The major function of NETOMAC is：The calculating of Load flow calculation, EM transient calculation and electromechanical transient, parameter optimization, frequency
Response etc.；
The function of PSASP mainly has steady-state analysis, accident analysis and electromechanical transient to analyze.
In a word, EMTP is mainly used to carry out electromagnetic transient Digital Simulation, and PSCAD/EMTDC, NETOMAC are substantially carried out
The emulation of electro-magnetic transient and controlling unit, BPA, PSASP are substantially carried out trend and electromechanical transient Digital Simulation.MATLAB mainly enters
The Research of digital simulation of row controlling unit.But for frequency regulation, power system can only be emulated temporary by the frequency after large disturbances
State is responded.By self-defining AGC control modules in document [3], enter line frequency emulation using PSS/E to study control mould
Influence of the selection of formula to area networking FREQUENCY CONTROL.Though in view of in the long-term dynamics process and FREQUENCY CONTROL in power system
Some factors, but still how to control frequency and design when analysis power system is broken down.Therefore, for research
Interconnected network is short-term and secular frequency is adjusted, and these softwares all can not well meet requirement.And use MATLAB[4]Modeling can
To study, interconnected network is short-term and secular frequency is controlled and relevant issues, but MATLAB simulation times are limited, for more long
Load variations or the generator power change of time scale, it is impossible to enter line frequency simulation analysis well.Bibliography is as follows：
[1] Li Guangkai, Li Geng silver Summary of Power System Simulation Software electric and electronics teaching journal .2005 June
[2] Zhang Yan, Mao Xiaoming, old few China power system computation analysis software packages --- Chinese version BPA. Guangdong Industrials
College journal .2008 December
[3] the research power networks of FREQUENCY CONTROL strategy behind Chen Yan, Qiu Jiaju, Huang Zhilong, Guo Jia field East China and Fujian networking
Technology .2002 June
[4] Liu Le, Liu Rao, Li Wei east interconnected networks frequency adjust the development electric power network techniques of dynamic simulation power system
.2009 April in year
Realize it is of the invention during, inventor find at least there is power system frequency simulation velocity in the prior art
Slowly, the defect such as power equipment safety in operation difference and economic power system difference.
The content of the invention
It is an object of the present invention to regarding to the issue above, propose a kind of long-time scale power system frequency fluctuation emulation
Method, to realize that power system frequency simulation velocity is fast, the advantage that power equipment safety in operation is good and economic power system is good.
To achieve the above object, the technical solution adopted by the present invention is：A kind of long-time scale power system frequency fluctuation
Emulation mode, including：
A, the influence controlled power system frequency with reference to wind power wave characteristic, in original power system frequency
Increase wind power plant in control and participate in power system frequency control, set up long-time scale power system frequency emulation platform；
B, the long-time scale power system frequency emulation platform using foundation, to wind power fluctuation to power system
The influence of FREQUENCY CONTROL carries out the simulation analysis of long time scale.
Further, the step a, specifically includes：
A1, using power spectral-density analysis method, with reference to wind power plant measured data, the power swing for analyzing wind power plant is special
Property, determine various load fluctuations and wind power wave characteristic；
A2, active/FREQUENCY CONTROL Mathematical Modeling that wind power plant is participated in power system, add power system frequency control
In, set up wind power plant frequency control model；Fired power generating unit, Hydropower Unit and wind power plant are set up using quasi steady state method participate in power train
The inertia control of system, primary frequency modulation and frequency modulation frequency modulation Mathematical Modeling, set up long-time scale power system frequency emulation platform.
Further, the step a1, specifically includes：
1. the load and active power of wind power field for reading energy management power system EMS predict the outcome, analysis load and wind
The wave characteristic of electric field active power；
2. according to fluctuation situation, divided by second level, determine the load and active power of wind power field wave characteristic of each period；
Determine the operation of active power of wind power field wave characteristic, refer to that research shows that wind power wave characteristic has it to advise
Rule property, using wind power plant measured data, with this wind power wave characteristic of power spectral density analytical.
Further, the step a2, specifically includes：
Set up wind power plant participate in power system it is active/FREQUENCY CONTROL Mathematical Modeling, together with fired power generating unit, Hydropower Unit,
Polynary energy pool FREQUENCY CONTROL is formed, setting up each generating set using quasi steady state method participates in power system frequency control
Simulation model processed；
Replace quick change procedure with algebraically equilibrium equation, and assume speed regulator according to the difference coefficient of primary frequency modulation immediately
Action, sets up long-time scale power system frequency emulation platform；
Using wind power wave characteristic as input, long-time scale power system frequency fluctuation situation is analyzed.
Further, the step b, specifically includes：
B1, set up multizone joint Automatic Generation Control（AGC）Model, initially sets up single field frequency Controlling model, its
It is secondary to consider the frequency control model in other regions, and then set up the control of multizone Combined Frequency；
Influence of b2, simulation analysis load fluctuation and the wind power fluctuation to power system frequency control, determines electric power
System reserve adjusts capacity.
Further, the step b2, specifically includes：
B21, using wind power wave characteristic as input, analysis power system frequency fluctuation situation；
The adjustment power of b22, fluctuated according to power system frequency simulation scenarios and each unit, calculates and determines that power system is each
The standby adjustment capacity of primary frequency modulation and frequency modulation frequency modulation of unit；
The standby adjustment capacity of power system that b23, basis are calculated, the standby rotational volume of schedule power system,
Influence of the analysis power swing to power system frequency, determines the standby adjustment capacity of power system.
Further, the step b22, specifically includes：
1. determine the standby adjustment capacity of primary frequency modulation of each unit, it is known that the difference coefficient R of unit, and power system frequency
Rate fluctuation Δ f, it is P=Δs f/R that the primary frequency modulation active power of unit calculates formula；
2. the standby adjustment capacity of frequency modulation frequency modulation of frequency modulation unit is determined, when program is write, by the generator of frequency modulation frequency modulation
Active power data exist an array, finally call array, can obtain power system frequency fluctuation adjustment during, each frequency modulation
The standby adjustment capacity of frequency modulation frequency modulation of unit；
3. it is last, the standby adjustment capacity of each unit of power system is issued into scheduling, arrange the spinning reserve of each unit to adjust
Lift face amount, to maintain power system frequency stabilization.
Further, in step b23, influence of the analysis power swing to power system frequency determines power train
The operation of the standby adjustment capacity of system, specifically includes：
1. when load and active power of wind power field are in steady fluctuation characteristic, the frequency of power system and standby adjustment are held
Amount will not great changes will take place；
2. when load and active power of wind power field are in rises fluctuation characteristic, separately consider：For load fluctuation, electric power
The frequency of system reduces, and standby adjustment needs to increase；For active power of wind power field fluctuation, the frequency of power system increases, standby
Reduced with capacity；
3. when load and active power of wind power field are in declines fluctuation characteristic, separately consider：For load fluctuation, electric power
The frequency of system increases, and standby adjustment reduces；For active power of wind power field fluctuation, the frequency of power system reduces, standby appearance
Amount needs to increase.
Further, in step b23, the load and active power of wind power field variation tendency, including rise, decline and
Steady three kinds of fluctuation characteristics.
The long-time scale power system frequency fluctuation simulation method of various embodiments of the present invention, due to including：With reference to wind-powered electricity generation
The influence that field power stochastic volatility is controlled power system frequency, wind power plant is increased in the control of original power system frequency
Power system frequency control is participated in, long-time scale power system frequency emulation platform is set up；Using the long time scale set up
Power system frequency emulation platform, the influence to wind power fluctuation to power system frequency control carries out long time scale
Simulation analysis；Influence that can be with the load fluctuation of long time scale simulation analysis to power system, sets each electricity power system in advance
The spare capacity of system, inherently reduces the frequency change of power system, and improves the utilization rate of each energy on this basis；From
And slow power system frequency simulation velocity in the prior art, power equipment safety in operation difference and economic power system can be overcome poor
Defect, to realize that power system frequency simulation velocity is fast, the advantage that power equipment safety in operation is good and economic power system is good.
Other features and advantages of the present invention will be illustrated in the following description, also, the partly change from specification
Obtain it is clear that or being understood by implementing the present invention.
Below by drawings and Examples, technical scheme is described in further detail.
Brief description of the drawings
Accompanying drawing is used for providing a further understanding of the present invention, and constitutes a part for specification, with reality of the invention
Applying example is used to explain the present invention together, is not construed as limiting the invention.In the accompanying drawings：
Fig. 1 is the schematic flow sheet of long-time scale power system frequency fluctuation simulation method of the present invention；
Fig. 2 is the song of wind power plant active power fluctuation in long-time scale power system frequency fluctuation simulation method of the present invention
Line schematic diagram；
Fig. 3 be long-time scale power system frequency fluctuation simulation method of the present invention in expression power train unify load in day
Situation of change figure；
Fig. 4 is the frequency change of expression power system in long-time scale power system frequency fluctuation simulation method of the present invention
Situation map；
Fig. 5 is that power system is electric in matlab emulation in long-time scale power system frequency fluctuation simulation method of the present invention
Frequency situation of change figure in Force system；
Fig. 6 is load variations 2%, wind power plant participation in long-time scale power system frequency fluctuation simulation method of the present invention
Power system frequency is controlled and power system frequency situation of change figure；
Fig. 7 be long-time scale power system frequency fluctuation simulation method of the present invention in load variations 2%, wind power plant do not join
With power system frequency control and power system frequency situation of change figure；
List region electric power when Fig. 8 is load variations 3% in long-time scale power system frequency fluctuation simulation method of the present invention
System frequency situation of change figure；
Fig. 9 is for multizone is combined during load variations 3% in long-time scale power system frequency fluctuation simulation method of the present invention
Power system frequency situation of change figure；
Figure 10 is load or wind power change in long-time scale power system frequency fluctuation simulation method of the present invention
Curve map；
Figure 11 is load variations and power system work(in long-time scale power system frequency fluctuation simulation method of the present invention
The curve map of rate change；
Figure 12 is wind power plant changed power and electric power in long-time scale power system frequency fluctuation simulation method of the present invention
The curve map of system power change.
Specific embodiment
The preferred embodiments of the present invention are illustrated below in conjunction with accompanying drawing, it will be appreciated that preferred reality described herein
Apply example to be merely to illustrate and explain the present invention, be not intended to limit the present invention.
Power system is run under a frequency for synchronization, and the electric energy of generation and the electric energy of consumption must be balanced, if hair
Raw electric energy is superfluous, and synchronous generator will accelerate, and power system frequency increases；Conversely, generator will slow down, power system frequency
Decline.However, due to characteristics such as Wind turbines randomness inherently and fluctuations so that wind power has random fluctuation
Property.With being continuously increased for wind-powered electricity generation permeability, power system frequency stabilization receives adverse effect.In power system occurrence frequency
When accident is greatly lowered, the inertia of power system serves decisive role for the change that frequency is reduced --- and inertia is got over
Low, power system frequency reduces faster.Because blower fan uses power electronic equipment mostly so that electromagnetic power and mechanical output
Decoupling, it is impossible to provide inertial response to power network, with the continuous improvement of wind-powered electricity generation permeability, the inertia coeffeicent of power system gradually subtracts
It is small, so that the frequency safety and stability of power system turn into a great problem after wind-electricity integration.In addition the grid-connected directive/guide in various countries
Requirement to wind power control, and research shows that wind power fluctuation is small compared with power of fan, and Wind Power Generation side of China
Access way is concentrated using extensive more than formula, many State Grid workers progressively begin one's study wind power plant participation power system frequently
Rate control strategy.
Therefore, according to correlative study and wind power plant measured data, set up wind power plant participate in power system it is active/FREQUENCY CONTROL
Mathematical Modeling, together with fired power generating unit, Hydropower Unit, forms polynary energy pool FREQUENCY CONTROL.In view of existing
Power system simulation software in, also designed without a frequency fluctuation emulation specifically designed for power system, so typically
Unit frequency control model all is built with Matlab/Simulink, power system frequency change when analysis load fluctuates.But
Matlab/Simulink simulation times are limited, are unfavorable for that traffic department controls in advance, set the standby adjustment capacity of power system.
Long-time scale power system frequency emulation refers to that in view of the time of short-term load forecasting is generally one day to one week, wind power plant is short
Power prediction time phase is generally 1 ~ 48h, is used to arrange operation plan, load fluctuation and wind power plant for one day to one week
Power swing, power system frequency fluctuation simulation time is elongated.It is therefore proposed that a kind of long-time scale power system frequency fluctuation
Emulation mode.
According to embodiments of the present invention, as shown in Fig. 1-Figure 12, there is provided a kind of long-time scale power system frequency fluctuation
Emulation mode.The long-time scale power system frequency fluctuation simulation method, embodies the perspective of regional power grid FREQUENCY CONTROL, i.e.,
Increase wind power plant in original power system frequency control and participate in power system frequency control, propose polynary electricity power system
FREQUENCY CONTROL strategy, using power spectral-density analysis method analysis wind power fluctuation situation, area is set up using quasi steady state method
Major group of motors such as fired power generating unit, Hydropower Unit and wind power plant Mathematical Modeling in domain, so as to set up emulation platform；Can long-time chi
The influence of degree simulation analysis load fluctuation and wind power fluctuation to power system, sets the standby of each electricity power system in advance
Capacity, inherently reduces the frequency change of power system, and improves the utilization rate of each energy on this basis.
The long-time scale power system frequency fluctuation simulation method of the present embodiment, can combine load and wind power plant is exported
Power prediction result, analyzes various load fluctuations and generator power fluctuation（Such as wind power fluctuation）Characteristic, and to electricity
The influence of Force system FREQUENCY CONTROL, carries out long time scale（One to two days such as in terms of day）Simulation analysis；To power system frequently
Rate examines limit value, including the frequency examination upper limit（（50+0.2）Hz）Lower limit is examined with frequency（（50-0.2）Hz）, frequency operates in
It is i.e. qualified in the range of this；Frequency modulation frequency modulation refers to that, when power system load and generator active power are disturbed, control makes electricity
Force system frequency retrieval is to stationary value.
Referring to Fig. 1, the long-time scale power system frequency fluctuation simulation method of the present embodiment can use following technology
Scheme is realized：
With reference to the influence that wind power wave characteristic is controlled power system frequency, in original power system frequency control
Increase wind power plant in system and participate in power system frequency control, long-time scale power system frequency emulation platform is set up, to wind-powered electricity generation
Field power swing is analyzed to the influence that power system frequency is controlled；Power swing refers to wind power plant second level power swing；Power
Spectrum density refers to, for signal or noise with continuous frequency spectrum and limited mean power, to represent the unit bandwidth of its spectrum component
The frequency function of power；The operation specifically includes following steps：
(1) power spectral-density analysis method is utilized, with reference to wind power plant measured data, the power swing characteristic of wind power plant is analyzed,
Determine various load fluctuations and wind power wave characteristic；(1) step specifically includes：
1. the load and active power of wind power field for reading energy management power system EMS predict the outcome, analysis load and wind
The wave characteristic of electric field active power；
2. according to fluctuation situation, divided by second level（For example, can be by the fluctuation situation in a day in units of second level）, really
The load and active power of wind power field wave characteristic of fixed each period；
Here, determine active power of wind power field wave characteristic, refer to that research shows that wind power wave characteristic has it to advise
Rule property, using wind power plant measured data, with this wind power wave characteristic of power spectral density analytical；
(2) wind power plant is participated in the active/FREQUENCY CONTROL of power system, is added in power system frequency control, set up wind-powered electricity generation
Field frequencies range Controlling model；The inertia control that fired power generating unit, Hydropower Unit and wind power plant participate in power system is set up using quasi steady state method
System, primary frequency modulation and frequency modulation frequency modulation Mathematical Modeling, to set up long-time scale power system frequency emulation platform；
(2) step is specially：Set up wind power plant participate in power system it is active/FREQUENCY CONTROL Mathematical Modeling, with fired power generating unit,
Hydropower Unit together, forms polynary energy pool FREQUENCY CONTROL, and setting up each generating set using quasi steady state method participates in
Power system frequency controls simulation model, quick change procedure is replaced with algebraically equilibrium equation, and assume speed regulator according to once
The difference coefficient of frequency modulation is acted immediately, sets up long-time scale power system frequency emulation platform, by wind power wave characteristic
As input, long-time scale power system frequency fluctuation situation is analyzed；
Step (2) in, various power plant frequency control models can also be set up with quasi steady state method；
Step (2) in, power system frequency Controlling model can also be set up with quasi steady state method；Here, power system includes
Thermal power plant, hydroelectric power plant and wind power plant, it is common to participate in power system frequency control；FREQUENCY CONTROL includes inertia control, primary frequency modulation
And frequency modulation frequency modulation（AGC）；
Step (2) in, quasi steady state method is specially：Decomposed based on time scale, replaced quickly changing with equilibrium equation
Journey；Using quasi steady state method, the complexity of model can be reduced, greatly reduce the calculating time；
Quasi-steady state modeling refers to that element dynamical equation combines with power system network equation, sets up description power train
Differential-algebraically-the difference equation of long term dynamics process of uniting, power system reaches quasi-steady state means last load and wind-powered electricity generation
Transient process caused by the power swing of field is over, and load and the new fluctuation of wind power not yet occur, power train
System is in transient equilibrium state on each calculating section；But transient equilibrium point be not meant as interim status variable from this
No longer change；Whole power system will be continuous from one under the promotion that load and wind power fluctuate in quick change procedure
Transient equilibrium point jumps to another transient equilibrium point；Power system frequency can just so be described by a series of transient equilibrium points
Long time scale change procedure, realize long-time scale power system frequency fluctuation emulate；
(3) multizone joint Automatic Generation Control is set up（AGC）Model, initially sets up single field frequency Controlling model, secondly
Consider the frequency control model in other regions, and then set up the control of multizone Combined Frequency；Can realize that multizone combines frequency modulation,
Reduce each region burden, improve FREQUENCY CONTROL quality；
Step (3) in, multizone pool frequency control model can also be set up, to reduce disturbed area
FREQUENCY CONTROL burden；
(4) the influence of simulation analysis load fluctuation and wind power fluctuation to power system frequency control, determines power train
Unite standby adjustment capacity；
(4) step is specially：Using wind power wave characteristic as input, analysis power system frequency fluctuation situation.According to
Power system frequency fluctuation simulation scenarios, calculate and determine that the standby adjustment of primary frequency modulation and frequency modulation frequency modulation of each unit of power system is held
Amount, for the standby rotational volume of schedule power system, such that it is able to tackle various loads and wind power fluctuation, is reduced
Power system frequency fluctuates, and keeps power system frequency stabilization, increases the economy that power system spinning reserve adjusts capacity；Should
Operation is specifically included：
1. determine the standby adjustment capacity of primary frequency modulation of each unit, it is known that the difference coefficient R of unit, and power system frequency
Rate fluctuation Δ f, it is P=Δs f/R that the primary frequency modulation active power of unit calculates formula；
2. the standby adjustment capacity of frequency modulation frequency modulation of frequency modulation unit is determined, when program is write, by the generator of frequency modulation frequency modulation
Active power data exist an array, finally call array, can obtain power system frequency fluctuation adjustment during, each frequency modulation
The standby adjustment capacity of frequency modulation frequency modulation of unit.
3. it is last, the standby adjustment capacity of each unit of power system is issued into scheduling, arrange the spinning reserve of each unit to adjust
Lift face amount, to maintain power system frequency stabilization；
Step (4) in, for load fluctuation and wind power wave characteristic, it is possible to use long time scale power train
System frequency emulation platform, analyzes the influence to power system frequency；
Step (4) in, determine the standby adjustment capacity of power system, frequency fluctuation situation and each machine according to power system
The adjustment power of group, determines each unit primary frequency modulation capacity and frequency modulation frequency modulation capacity；
Step (4) in, load and active power of wind power field variation tendency include rising, decline and steady three kinds of fluctuations are special
Levy；Influence of the analysis power swing to power system frequency, determining the standby adjustment capacity of power system includes：
1. when load and active power of wind power field are in steady fluctuation characteristic, the frequency of power system and standby adjustment are held
Amount will not great changes will take place；
2. when load and active power of wind power field are in rises fluctuation characteristic, separately consider：For load fluctuation, electric power
The frequency of system reduces, and standby adjustment needs to increase；For active power of wind power field fluctuation, the frequency of power system increases, standby
Can be reduced with capacity；
3. when load and active power of wind power field are in declines fluctuation characteristic, separately consider：For load fluctuation, electric power
The frequency of system increases, and standby adjustment can reduce；For active power of wind power field fluctuation, the frequency of power system reduces, standby
Needed to increase with capacity.
Compared with prior art, the long-time scale power system frequency fluctuation simulation method of above-described embodiment, at least may be used
To reach following beneficial effect：
(1) can be studied by the real time data that wind power plant is gathered, wind power fluctuation be analyzed in frequency special
Property, various information can be made full use of, such as real-time weather forecast information, and it is wide using scope, assessment result is accurate, Ke Yiyou
The analysis wind power wave characteristic of effect；
(2) add wind power plant and participate in power system frequency control, the power characteristic of Wind turbines has rapidity, transient state
Property, conventional power unit has time delay, continuation, and both coordinate each to play its advantage；On the other hand improve power system
Inertia adjustment factor, reduces the power system frequency fluctuation of disturbance moment and scheduling power system frequency modulation pressure, also in certain journey
The resume speed of power system frequency is improve on degree, increased power network to wind farm grid-connected receiving ability and wind power plant can
Scheduling property；
(3) each unit frequency control model is set up using quasi steady state method, calculate the stable situation of each period, reduce mould
The complexity of type, improves simulation calculation speed, can be changed with the frequency of long time scale emulation power system；
(4) the control of multizone Combined Frequency can be set up, FREQUENCY CONTROL stability is improve, the frequency modulation in each region is reduced
Burden；
(5) for the frequency fluctuation simulation result of power system, determine the standby adjustment capacity of each unit of power system, wrap
Primary frequency modulation capacity and frequency modulation frequency modulation capacity are included, convenient scheduling is controlled in advance, advanced to plan, to ensure the steady of power system frequency
It is fixed.
Specifically, technical scheme can be realized by specific examples below.
From the point of view of the control characteristic of wind power plant, the more conventional power plant of unit interval regulations speed of wind power plant is faster.In power network
Under failure or the special method of operation, active power of wind power field reduction speed can even reach per minute 20% installed capacity.This
When, if wind power plant participates in power system frequency modulation control in addition to the frequency modulation pressure that can mitigate power system, also to a certain degree
On accelerate the regeneration rate of power system frequency.
And the interconnection between bulk power grid is the common experience of countries in the world power network development.Trans-regional interconnection, transnational interconnection are
Bulk power grid develops into the inexorable trend of certain phase.To be kept in big regional internet power network and improve the quality of power supply, it is ensured that contact
Power planning operation is exchanged, improves unit allocation regulation performance, play the superiority of bulk power grid operation, this and multizone combine frequency
Rate control has close relationship.
Therefore, using the long-time scale power system frequency fluctuation simulation method of above-described embodiment, with reference to existing advanced
Frequency modulation technology --- wind power plant participate in power system frequency control and multizone Combined Frequency control, by programming realization it is long when
Between scale power systems frequency fluctuation simulated effect：
(1) load fluctuation model is set up first with Matlab, and set up three regional combination frequency control models；
(2) next to that using long-time scale power system frequency fluctuation simulation method, the regional combination frequency of programming realization three
Control；Comparative analysis：1. the superiority of long-time scale power system frequency fluctuation simulation method；2. wind power plant participates in power train
The superiority of FREQUENCY CONTROL of uniting；3. joint region FREQUENCY CONTROL participates in the superiority of power system frequency control.4. load fluctuation
The influence changed to power system frequency with wind power fluctuation.
In the above-described embodiments, the foundation of load disturbance model：By white noise sequence and the sinusoidal letter of multiple different times
Number superposition, by changing the cycle of sinusoidal signal, can make in the case where normal distribution characteristic is not influenceed load disturbance meet not
Same simulation requirements：
(1) one day load variations data is directed to（86400s）, using long-time scale power system frequency fluctuation simulation method
The three regional power system frequencies emulation power system set up, can well emulate the change of power system frequency, such as Fig. 3 and
Shown in Fig. 4, Fig. 3 represents that power train unifies the situation of change of load in day, and Fig. 4 represents the frequency situation of change of power system.
And the three regional power system frequencies for being based on the foundation of Matlab emulation platforms emulate power system, for emulation electric power
The load variations of system one day or longer time yardstick, simulation time is limited, is only capable of reacting frequency of the power system at more than 800 seconds
Situation of change, as shown in Figure 5.
(2) during load variations 2%, when wind power plant participates in power system frequency control, the situation of change of power system frequency, such as
Shown in Fig. 6.
In load variations moment, the frequency of power system drops to 49.987Hz, after the AGC actions of power system, electric power
The frequency of system is increased to 50.006Hz, and power system frequency wave time is 11s.
If wind power plant is not involved in power system frequency change, the frequency change of power system is as shown in Figure 7.
In load variations moment, the frequency of power system drops to 49.9855Hz, after the AGC actions of power system, electric power
The frequency of system is increased to 50.009Hz, and power system frequency wave time is 17s.
As can be seen here, in load variations moment, if wind power plant participates in power system frequency control, electric power can be obviously reduced
The frequency wave momentum and wave time of system.
(3), with the continuous expansion of Operation of Electric Systems scale, the interconnection of power networks at different levels turns into power system development trend,
Therefore long-time scale power system frequency fluctuation simulation method is utilized, multizone pool frequency control can be set up
System.Following part is the single field frequency control of analysis and the control of multizone Combined Frequency, power system frequency situation of change.Load
When changing 3%, if the region for having wind power plant individually carries out frequency modulation work, the frequency situation of change of power system is illustrated in fig. 8 shown below.
As seen from Figure 8,3% load variations are directed to, power system frequency fluctuation is -0.075Hz ~ 0.018Hz.And it is many
Regional combination power system frequency control effect is as shown in Figure 9.
As seen from Figure 9,3% load variations are directed to, power system frequency fluctuation is -0.0244Hz ~ 0.014Hz.Contrast
It can be seen that, load fluctuation, the superiority of pool FREQUENCY CONTROL are directed to, while the standby tune of power system can be reduced
Lift face amount.
(4) load fluctuation model and wind power volatility model are set up by Matlab, analyze it to power system frequency
The influence of control.
Assuming that load or wind power change are illustrated in fig. 10 shown below；
Load variations are directed to, Power Systems change is as shown in figure 11；It is directed to wind power change, power train
System frequency change is illustrated in fig. 12 shown below：As can be seen here, power system frequency reduction when load is raised, during load reduction, power train
System frequency is raised；And wind power fluctuates, power system frequency variation tendency is opposite with load variations situation.
In sum, the long-time scale power system frequency fluctuation simulation method of the various embodiments described above of the present invention, for
In power system load fluctuation and wind power fluctuation, power system frequency fluctuating change process can be emulated, from for a long time
Dimensional analysis power system frequency situation of change；Simultaneously power system frequency control strategy and combined power are participated in using wind power plant
System multizone FREQUENCY CONTROL strategy, analysis power system frequency change, embodies the perspective and intelligent of the method.
Finally it should be noted that：The preferred embodiments of the present invention are the foregoing is only, are not intended to limit the invention,
Although being described in detail to the present invention with reference to the foregoing embodiments, for a person skilled in the art, it still may be used
Modified with to the technical scheme described in foregoing embodiments, or equivalent is carried out to which part technical characteristic.
All any modification, equivalent substitution and improvements within the spirit and principles in the present invention, made etc., should be included in of the invention
Within protection domain.
Claims (8)
1. a kind of long-time scale power system frequency fluctuation simulation method, it is characterised in that including：
A, the influence controlled power system frequency with reference to wind power wave characteristic, in the control of original power system frequency
Middle increase wind power plant participates in power system frequency control, sets up long-time scale power system frequency emulation platform；
The step a, specifically includes：
A1, using power spectral-density analysis method, with reference to wind power plant measured data, analyze the power swing characteristic of wind power plant, really
Fixed various load fluctuations and wind power wave characteristic；
A2, active/FREQUENCY CONTROL Mathematical Modeling that wind power plant is participated in power system, add in power system frequency control, build
Vertical wind power plant frequency control model；Fired power generating unit, Hydropower Unit and wind power plant are set up using quasi steady state method participate in power system
Inertia control, primary frequency modulation and frequency modulation frequency modulation Mathematical Modeling, set up long-time scale power system frequency emulation platform；B, utilization
The long-time scale power system frequency emulation platform of foundation, the influence to wind power fluctuation to power system frequency control
Carry out the simulation analysis of long time scale.
2. long-time scale power system frequency fluctuation simulation method according to claim 1, it is characterised in that the step
Rapid a1, specifically includes：
1. the load and active power of wind power field for reading energy management power system EMS predict the outcome, analysis load and wind power plant
The wave characteristic of active power；
2. according to fluctuation situation, divided by second level, determine the load and active power of wind power field wave characteristic of each period；
Determine the operation of active power of wind power field wave characteristic, refer to that research shows that wind power wave characteristic has its rule
Property, using wind power plant measured data, with this wind power wave characteristic of power spectral density analytical.
3. long-time scale power system frequency fluctuation simulation method according to claim 1, it is characterised in that the step
Rapid a2, specifically includes：
Set up wind power plant participate in power system it is active/FREQUENCY CONTROL Mathematical Modeling, together with fired power generating unit, Hydropower Unit, formed
Polynary energy pool FREQUENCY CONTROL, sets up each generating set participation power system frequency control imitative using quasi steady state method
True mode；
Replace quick change procedure with algebraically equilibrium equation, and assume that speed regulator is moved immediately according to the difference coefficient of primary frequency modulation
Make, set up long-time scale power system frequency emulation platform；
Using wind power wave characteristic as input, long-time scale power system frequency fluctuation situation is analyzed.
4. long-time scale power system frequency fluctuation simulation method according to claim 1, it is characterised in that the step
Rapid b, specifically includes：
B1, set up multizone joint Automatic Generation Control（AGC）Model, initially sets up single field frequency Controlling model, and next is examined
Consider the frequency control model in other regions, and then set up the control of multizone Combined Frequency；
Influence of b2, simulation analysis load fluctuation and the wind power fluctuation to power system frequency control, determines power system
Standby adjustment capacity.
5. long-time scale power system frequency fluctuation simulation method according to claim 4, it is characterised in that the step
Rapid b2, specifically includes：
B21, using wind power wave characteristic as input, analysis power system frequency fluctuation situation；
The adjustment power of b22, fluctuated according to power system frequency simulation scenarios and each unit, calculates and determines each unit of power system
Primary frequency modulation and the standby adjustment capacity of frequency modulation frequency modulation；
The standby adjustment capacity of power system that b23, basis are calculated, the standby rotational volume of schedule power system, analysis
Influence of the power swing to power system frequency, determines the standby adjustment capacity of power system.
6. long-time scale power system frequency fluctuation simulation method according to claim 5, it is characterised in that the step
Rapid b22, specifically includes：
1. determine the standby adjustment capacity of primary frequency modulation of each unit, it is known that the difference coefficient R of unit, and power system frequency wave
Dynamic Δ f, it is P=Δs f/R that the primary frequency modulation active power of unit calculates formula；
2. the standby adjustment capacity of frequency modulation frequency modulation of frequency modulation unit is determined, when program is write, by the generated power of frequency modulation frequency modulation
Power data exist an array, finally call array, can obtain power system frequency fluctuation adjustment during, each frequency modulation unit
The standby adjustment capacity of frequency modulation frequency modulation；
3. it is last, the standby adjustment capacity of each unit of power system is issued into scheduling, arrange the spinning reserve adjustment of each unit to hold
Amount, to maintain power system frequency stabilization.
7. long-time scale power system frequency fluctuation simulation method according to claim 5, it is characterised in that in step
In b23, influence of the analysis power swing to power system frequency determines the operation of the standby adjustment capacity of power system,
Specifically include：
1. when load and active power of wind power field are in steady fluctuation characteristic, the frequency of power system and standby adjustment capacity are not
Great changes will take place for meeting；
2. when load and active power of wind power field are in rises fluctuation characteristic, separately consider：For load fluctuation, power system
Frequency reduce, it is standby adjustment need increase；For active power of wind power field fluctuation, the frequency of power system increases, standby appearance
Amount reduces；
3. when load and active power of wind power field are in declines fluctuation characteristic, separately consider：For load fluctuation, power system
Frequency increase, it is standby adjustment reduce；For active power of wind power field fluctuation, the frequency of power system reduces, and spare capacity is needed
Increase.
8. the long-time scale power system frequency fluctuation simulation method according to any one of claim 5-7, its feature
It is, in step b23, the load and active power of wind power field variation tendency, including rise, decline and steady three kinds of fluctuations
Feature.
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| CN109639147A (en) * | 2018-12-12 | 2019-04-16 | 西安理工大学 | The Multiple Time Scales frequency adjustment method of high-frequency isolation resonance type DC transformer |
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| Publication number | Priority date | Publication date | Assignee | Title |
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| CN105226678B (en) * | 2015-09-21 | 2018-04-27 | 华北电力科学研究院有限责任公司 | System frequency regulation capacity analysis method and device |
| CN105958546B (en) * | 2015-12-29 | 2018-09-14 | 国家电网公司 | A kind of electric system automatic power generation control method of compatible tandem type FACTS equipment |
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| CN105490304B (en) * | 2016-01-28 | 2018-08-21 | 武汉大学 | A kind of trans-regional control method for coordinating for stabilizing wind-powered electricity generation fluctuation of multiterminal flexible direct current power grid |
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| CN110289626B (en) * | 2019-07-03 | 2020-07-21 | 西南交通大学 | Wind-water complementary leading frequency modulation rotation standby optimal configuration method |
| CN111030142B (en) * | 2020-01-02 | 2021-03-23 | 重庆大学 | Multi-time scale frequency optimization control method for high-proportion wind power system |
| CN111368418B (en) * | 2020-03-02 | 2021-05-07 | 上海索辰信息科技股份有限公司 | Multi-scale simulation analysis method for flow-induced noise |
Citations (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN101764561A (en) * | 2008-12-25 | 2010-06-30 | 上海电气自动化设计研究所有限公司 | Simulation circuit of frequency of wind power generation power network and method thereof |
| EP2565447A1 (en) * | 2012-02-14 | 2013-03-06 | Siemens Aktiengesellschaft | Method for constructing, optimising or monitoring the status of a wind power assembly or a component or a construction element of a wind power assembly |
-
2013
- 2013-08-23 CN CN201310370610.6A patent/CN103474986B/en active Active
Patent Citations (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN101764561A (en) * | 2008-12-25 | 2010-06-30 | 上海电气自动化设计研究所有限公司 | Simulation circuit of frequency of wind power generation power network and method thereof |
| EP2565447A1 (en) * | 2012-02-14 | 2013-03-06 | Siemens Aktiengesellschaft | Method for constructing, optimising or monitoring the status of a wind power assembly or a component or a construction element of a wind power assembly |
Non-Patent Citations (1)
| Title |
|---|
| AGC平抑风电场输出功率波动的仿真分析;贾涛等;《中国高等学校电力系统及其自动化专业第二十四届学术年会论文集（上册）》;20081031;95-98 * |
Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN109639147A (en) * | 2018-12-12 | 2019-04-16 | 西安理工大学 | The Multiple Time Scales frequency adjustment method of high-frequency isolation resonance type DC transformer |
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