CN106487026B - A kind of Coherent Generator Group method for quickly identifying based on wide area measurement information - Google Patents
A kind of Coherent Generator Group method for quickly identifying based on wide area measurement information Download PDFInfo
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- CN106487026B CN106487026B CN201610727604.5A CN201610727604A CN106487026B CN 106487026 B CN106487026 B CN 106487026B CN 201610727604 A CN201610727604 A CN 201610727604A CN 106487026 B CN106487026 B CN 106487026B
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
- H02J3/00—Circuit arrangements for ac mains or ac distribution networks
- H02J3/24—Arrangements for preventing or reducing oscillations of power in networks
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
- 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]
Abstract
The present invention relates to a kind of Coherent Generator Group method for quickly identifying based on wide area measurement information, comprising: record divides generator rotor angle information and the sampling time of each generator in group's data window；Generator amature angular speed and rotor angular acceleration are calculated using calculus of finite differences；Trigonometric function fitting is carried out to the rotor angular acceleration of generator；Trigonometric function derivation to obtaining after the fitting of each motor calculates Local Extremum and then determines each unit angle point；Judge whether the corresponding angle point of unit two-by-two matches；All generators are traversed, matching angle point matrix number is updated；The matching angle points for calculating generator two-by-two account for the ratios of two generator angle points respectively, judge two generators whether the people having the same aspiration and interest；All generators are traversed, people having the same aspiration and interest matrix is updated, coherence grouping terminates.The online recognition of electric system Coherent Generator Group can be achieved in the present invention, provides plenty of time for the dynamic equivalent and islanding control of electric system.
Description
Technical field
The present invention relates to the control fields of electric system, in particular to based on the generating set same tone of wide area measurement information
Identifying schemes.
Background technique
When electric system is disturbed, the oscillatory characteristic that will appear some generators in system is same or similar, this
Kind phenomenon is called the people having the same aspiration and interest, these generators are known as Coherent Generator Group.After electric system is disturbed, identify same in electric system
A group of planes is adjusted, one is polymerized into and waits check-ins, can effectively simplify system, reduce the calculation amount of power system dynamic equivalence；When
When asynchronous oscillation occurs for electric system, fast and accurately identify that Coherent Generator Group is the prerequisite of Out-of-Step Splitting Systems.Therefore, to electricity
Force system carries out coherence grouping and is of great significance.
Existing Coherent Generator Group recognizer is broadly divided into three kinds: 1) according to characterization system features characteristic quantity, using point
Class algorithm carries out a point group[1-3].Document [1] utilizes the features such as the generator rotor angle variable quantity of generator and the rotor kinetic energy at failure removal moment
Training vector machine is measured, then a point group is carried out to system by the characteristic information of motor after failure.2) based on linearized system matrix
Classification method[4-5].Such methods linearize electric power system model, analyze the people having the same aspiration and interest between each unit by the model parameter of system
Property.System linearize by document [4] using slow same conditioning technology at equalization point, by calculate the characteristic value of linearized system with
Feature vector judges the same tone of system.But this method is linearized system under the premise of microvariations, therefore is only applicable to small disturb
Dynamic analysis.3) based on the data mining method of disturbed track[6-7].Document [6] is with three kinds of time domain, frequency domain and wavelet analysis processing methods
The feature for extracting rocking curve carries out homology group identification to multimachine rocking curve stable in finite time section, isolates all
Potential unstability group.But the method data handling procedure is excessively complicated, and applied to practical big system, it is still necessary to further study.Document
[7] retain source data main information using principal component analysis, by variable weight numerous in metric data and with certain correlation
One group of new generalized variable being independent of each other of new composition, and then the principal component component of metric data is obtained, then pass through principal component
Loading coefficient realizes the coherence grouping to generator.
Power generation based on electrical power system wide-area measuring system (Wide Area Measurement System, WAMS) actual measurement
The coherence grouping method of machine generator rotor angle information is based on the important method in the disturbed track coherence grouping method of generator.With being based on
The electrical power system wide-area measuring system WAMS of phasor measurement unit (Phasor Measurement Unit, PMU) is technically
It graduallys mature, in the commonly used of power-management centre above the provincial level[8], have such method and occur[9].But it needs into one
The research and the such method of excavation of step.
Bibliography
[1] Wen Jun, Liu Tianqi, Li Xingyuan wait Support Vector Machines Optimized algorithm [J] China of online recognition Coherent Generator Group
Electrical engineering journal, 2008,28 (25): 80-85.
[2] south China online recognition [J] the science and engineering that Liu Mingbo carries out people having the same aspiration and interest generating set with multilayer feedforward neural network is big
Learn journal: natural science edition, 1996,24 (1): 164-172.
[3]Lee and Schweppe.Distance Measures and Coherency Recognition for
Transient Stability Equivalents [J] .IEEE Trans on Power Apparatus System.1973,
9:1550-1557.
[4] Liu Mingbo is learned for slow people having the same aspiration and interest partitioning algorithm [J] the South China Science & Engineering University of multi-machine power system dynamic equivalent
Report: natural science edition, 1996,24 (1): 122-130.
[5] Gacic N, Zecevic A I, Siljak D D.Coherency recognition using epsilon
Decomposition.IEEE Trans.On Power System.1998,13 (2): 314-319.
[6] the disturbed track Dai Chensong, Xue Feng, Xue Yusheng divide group study [J] Automation of Electric Systems, 2000,24
(1): 13-16.
[7] An Jun, Mu Gang, Xu Weibin identify [J] power grid skill based on the electric system Coherent Generator Group of Principal Component Analysis
Art, 2009,33 (3): 25-28.
[8] Duan Gang, Yan Yaqin, Xie Xiaodong wide area phasor measuring technique present status and prospect [J] electric system is automatic
Change, 2015,39 (1): 73-80.
[9] Feng Kangheng, Zhang Yanxia, Liu Zhixiong wait Coherent Generator Group online recognition method [J] the power grid of based on Wide-area Measurement Information
Technology, 2014,38 (8): 82-86.
[10] electric system of Song Fangfang, Bi Tianshu, the Yang Qixun based on WAMS disturbed trajectory predictions [J] electric system is certainly
Dynamicization, 2006,30 (23): 27-32.
[11] Qian Wenguang, Lin little Zhu image outline curvature estimation and angle point grid [J] Chinese journal of scientific instrument, 2007,28
(4): 63-68.
Summary of the invention
The present invention provide it is a kind of it is based on wide area measurement information, adaptively to adjust the long Coherent Generator Group of point group's data window fast
Speed identification new departure is the dynamic equivalent and islanding control of electric system to realize the online recognition of electric system Coherent Generator Group
Plenty of time is provided.Technical scheme is as follows:
A kind of Coherent Generator Group method for quickly identifying based on wide area measurement information divides group to believe if there is N platform generator in system
Breath is stored in people having the same aspiration and interest Matrix CN×NIn, element c in matrixijReflect the people having the same aspiration and interest relationship between generator i, j, works as cijWhen=1, generator
I, the j people having the same aspiration and interest；Work as cijWhen=0, generator i, j are non-coherent；Column vector Q1×NStorage divides each generator angle point number in group's data window,
Matrix PN×NStore the matching angle points between each generator.The method for quickly identifying comprises the following steps that
1) people having the same aspiration and interest Matrix CN×NWith matching angle point matrix number PN×NInitialization；
2) record t moment divides generator rotor angle information and the sampling time of each generator in group's data window, saves to generator rotor angle matrix
Dm×(N+1), Dm×(N+1)First is the sampling time, and i+1 is classified as the generator rotor angle information of generator i；
3) generator amature angular speed and rotor angular acceleration are calculated using calculus of finite differences, is stored in angular velocity matries respectively
W(m-1)×(N+1), angular acceleration matrix S(m-2)×(N+1)In；
4) the setting fitting period carries out trigonometric function fitting to the rotor angular acceleration of generator；
5) the trigonometric function derivation to obtaining after the fitting of each motor calculates Local Extremum and then determines each unit angle
Point, the angle point of each generator correspond to the time and keep in matrix TN×h, amplitude keeps in matrix EN×h, update angle point ordered series of numbers vector
Q1×N；
6) when angle point ordered series of numbers vector value is not less than 5, to TN×hAnd EN×hIn each generator angle point time difference and width
Value difference is compared, if i is with generator j, there are angle point x, y to meet following formula
In formula, tix、tjyThe respectively xth of generator i, j, y angle point corresponding time；eix、ejyFor generator i, j
Xth, the corresponding amplitude of y angle point；ε1For time threshold；ε2For amplitude thresholds, then the corresponding corners Matching of two units, matching angle
Point matrix number pij、pjiAdd 1；All generators are traversed, matching angle point matrix number P is updatedN×N；
7) the ratio z that generator i, j matching angle points account for two generator angle points respectively is calculatedi=pij/qi、zj=pji/qj,
As (zi+zjTwo generator people having the same aspiration and interest when)/2 > 0.5, people having the same aspiration and interest matrix cij=1；Otherwise, cij=0；All generators are traversed, are updated same
Adjust Matrix CN×N, coherence grouping terminates.
Beneficial effects of the present invention are as follows:
(1) it the present invention is based on the generator's power and angle information that Wide Area Measurement System measurement obtains, is calculated by second differnce
To the rotor angle acceleration information of generator.Since rotor angular acceleration change is the basic reason of generator rotor angle variation, rotor angle adds
Velocity variations become apparent, therefore divide group more quick, accurate using generator amature angular acceleration.
(2) present invention divides group's data window long according to the adaptive adjustment of the speed of system unstability speed, meets different works
To the requirement of coherence grouping speed under condition, the online quick identification of large-scale power system Coherent Generator Group can be effectively realized, be system
Dynamic equivalent and islanding control provide plenty of time.
Detailed description of the invention
Fig. 1 generator amature angular acceleration curve
Specific embodiment
The disturbed track of generator contains the whole for influencing same tone between each unit after electric system is disturbed
Factor obtains the people having the same aspiration and interest information of people having the same aspiration and interest generator according to the rocking curve of generator, can effectively improve the accuracy of coherence grouping.
The present invention carries out the rotor angle acceleration that generator is calculated in second differnce to the generator's power and angle information in wide area measurement information
Degree；Angular acceleration carries out trigonometric function fitting again, obtains generator amature angular acceleration change curve, and then extract each power generation
Angle point in machine matched curve.Amplitude difference and the time difference of angle point are closed on by comparing each generator to determine two generators
Between same tone, realization synchronize a point group.
(1) trigonometric function is fitted.From the model of governor, the generator rotor angle of generator can be derived --- time graph is
The trigonometric function curve of decaying[10].Because rotor angular acceleration is the second dervative of generator rotor angle, change curve is still decaying
Trigonometric function curve, meet Dirichlet condition, can be fitted with the trigonometric function of low order, error of fitting be less than it is multinomial
Formula fitting.Fitting form is
In formula, d ω/dt is the estimated value of rotor angular acceleration；N is the fitting order of trigonometric function；ak、bkFor triangle letter
Several coefficients.For coherence grouping algorithm from disturbance start time starting, taking fitting data window is 0.2 second.The substation PMU is every 10 milliseconds
Upload a generator's power and angle value[9], so every generator has 20 generator rotor angle values in data window.Because passing through second order difference method
The angular acceleration of rotor is calculated, therefore the match point of angular acceleration is 18 in each data window.To the measured value in data window
Least square fitting is carried out, the curvilinear function i.e. formula (1) of generator amature angular acceleration in data window can be obtained.The present embodiment
In, trigonometric function fitting was carried out with 0.08 second for rotor angular acceleration of the period to generator.Every two has during fitting week
The overlapping of half period, i.e. fitting period are respectively as follows: 0-0.08 seconds, and 0.04-0.12 seconds, and so on.
(2) extraction of angle point and compare.Angle point is the point of curvature maximum on two-dimensional curve, is to determine target shape in image
One of principal element of shape.These points not only remain the important feature information of image, moreover it is possible to effectively reduce information to be processed
Data volume improves calculating speed, it is made to be applied to be treated as possibility in real time.Common Robust Algorithm of Image Corner Extraction is first by profile song
Line carries out Gaussian smoothing, then the curvature of calculated curve every bit, finally chooses the maximum point of local curvature and is used as angle point[11].It should
It is more accurate that method extracts angle point, but calculation amount is larger.In the present invention, the rotor angular acceleration of generator is quasi- using trigonometric function
It closes, the extreme point of trigonometric function is the point of maximum curvature, the as angle point of curve.Therefore, comparing its similitude can determine whether that angle adds
The similitude of rate curve.It is reduced to the extraction of angle point to seek extreme point, greatly reduces the difficulty of solution.Angle point grid
Afterwards, the feature of angle steel joint is compared.The amplitude difference and time difference that the present invention is closed between angle point by each generator compare
The similarity of angle point.It is less than time threshold ε when the time difference of q-th of angle point of p-th of angle point and generator j of generator i1,
Difference in magnitude is less than amplitude thresholds ε2, then it is assumed that the correspondence angle point of two generators matches.Judgment formula is as follows
In formula, tp、tqFor angle point p |, the q corresponding time；αi(tp)、αj(tq) be angle point amplitude.Take ε1=0.3 × min
(ti,tj), wherein ti、tjThe respectively time difference of two adjacent corner points of generator i, j；ε2=0.4 × min (αi(tp),αj(tq))。
The corresponding corners Matching of two generators if constraint condition meets.When failure occurs t seconds, generator i, j matching angle points are calculated
The ratio z of two generator angle point numbers is accounted for respectivelyi、zj, as (zi+zjThe two generator people having the same aspiration and interest are judged when)/2 > 0.5.
Attached drawing 1 is the rotor angular acceleration matched curve of generator i, j after the system failure, to its derived function local extremum
Point obtains the angle point of curve, and angle point is respectively a, b, c, d, e and a ', b ', c ', d ', e '.Two generator amature angular acceleration rails
The angle point number of mark is 5, and it is respectively bb ', cc ', dd that the Rule of judgment according to formula (2), which obtains matching angle point, ', ee ', matching angle
Points are 4.The corners Matching degree of two generators is zi=zj=4/5=0.8 meets inequality (zi+zj)/2 > 0.5, therefore two hairs
Motor is people having the same aspiration and interest unit.
(3) the long selection of coherence grouping self-adapting data window.The speed of system unstability is faster, and generator's power and angle variation is got over
Fastly.Quickly divide group to realize, can use adaptive choose of constant angle points and divide group's data window long.When the quick unstability of system
When, generator rotor angle variation is fast, and angular acceleration change is accelerated, and the angle point number in the short time is more, takes short-data windows that can quickly recognize
Coherent Generator Group；Conversely, generator rotor angle and angular acceleration change are also slow when system unstability speed is slow, data window lengthening could include one
Fixed number purpose angle point is to complete correctly to divide group.It is 5 that the present invention, which takes constant angle points, then algorithm can count according to this constant angle
The length of data window is adaptively chosen, it is right under different operating conditions that the method for this adaptive adjustment data window size can effectively meet
The requirement of coherence grouping speed is realized and quickly divides group online.
Claims (2)
1. a kind of Coherent Generator Group method for quickly identifying based on wide area measurement information, if having N platform generator, Clustering information in system
It is stored in people having the same aspiration and interest Matrix CN×NIn, element c in matrixijReflect the people having the same aspiration and interest relationship between generator i, j, works as cijWhen=1, generator i,
The j people having the same aspiration and interest；Work as cijWhen=0, generator i, j are non-coherent；Column vector Q1×NStorage divides each generator angle point number in group's data window, square
Battle array PN×NThe matching angle points between each generator are stored, which comprises the following steps that
1) people having the same aspiration and interest Matrix CN×NWith matching angle point matrix number PN×NInitialization；
2) record t moment divides generator rotor angle information and the sampling time of each generator in group's data window, saves to generator rotor angle matrix Dm×(N+1),
Dm×(N+1)First is the sampling time, and i+1 is classified as the generator rotor angle information of generator i；
3) generator amature angular speed and rotor angular acceleration are calculated using calculus of finite differences, is stored in angular velocity matries respectively
W(m-1)×(N+1), angular acceleration matrix S(m-2)×(N+1)In；
4) the setting fitting period carries out trigonometric function fitting to the rotor angular acceleration of generator；
5) the trigonometric function derivation to obtaining after the fitting of each motor calculates Local Extremum and then determines each unit angle point, respectively
The angle point of generator corresponds to the time and keeps in matrix TN×h, amplitude keeps in matrix EN×h, update angle point ordered series of numbers vector Q1×N；
6) when angle point ordered series of numbers vector value is not less than 5, to TN×hAnd EN×hIn each generator angle point time difference and difference in magnitude
It is compared, if i is with generator j, there are angle point x, y to meet following formula
In formula, tix、tjyThe respectively xth of generator i, j, y angle point corresponding time；eix、ejyXth, y for generator i, j
The corresponding amplitude of a angle point；ε1For time threshold；ε2For amplitude thresholds, then the corresponding corners Matching of two units, matching angle is counted square
Battle array pij、pjiAdd 1；All generators are traversed, matching angle point matrix number P is updatedN×N；
7) the ratio z that generator i, j matching angle points account for two generator angle points respectively is calculatedi=pij/qi、zj=pji/qj, as (zi
+zjTwo generator people having the same aspiration and interest when)/2 > 0.5, people having the same aspiration and interest matrix cij=1；Otherwise, cij=0；All generators are traversed, people having the same aspiration and interest matrix is updated
CN×N, coherence grouping terminates.
2. recognition methods according to claim 1, which is characterized in that ε1=0.3 × min (tix,tjy)；ε2=0.4 × min
(eix,ejy)。
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| CN105023090A (en) * | 2015-05-15 | 2015-11-04 | 天津大学 | Power generator unit coherence grouping scheme based on wide area information |
| CN107590604B (en) * | 2017-09-13 | 2020-09-04 | 国网福建省电力有限公司 | Coherent unit grouping method and system combining S transformation and 2DPCA |
| CN108875202B (en) * | 2018-06-15 | 2021-04-16 | 华北电力大学 | Coherent unit grouping method of multi-index panel data based on feature extraction |
| CN109842113B (en) * | 2019-01-10 | 2021-07-20 | 东南大学溧阳研究院 | Power system simplified equivalence method based on generator group dynamic feature analysis |
| CN112531706B (en) * | 2020-12-18 | 2023-04-18 | 东北电力大学 | Coherent cluster identification method based on complex invariance and deep neural network |
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