CN106487026A - 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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- 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]
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Abstract
The present invention relates to a kind of Coherent Generator Group method for quickly identifying based on wide area measurement information, including：The generator rotor angle information of each generator and sampling time in record point group's data window；Generator amature angular speed and rotor angular acceleration are calculated using calculus of finite differences；Rotor angular acceleration to generator carries out trigonometric function fitting；The trigonometric function derivation obtained after fitting to each motor, calculates Local Extremum and then determines each unit angle point；Judge whether the corresponding angle point of unit two-by-two mates；All generators are traveled through, updates matching angle point matrix number；The matching angle points for calculating generator two-by-two account for the ratio of two generator angle points respectively, judge the two generators whether people having the same aspiration and interest；All generators are traveled through, people having the same aspiration and interest matrix is updated, coherence grouping terminates.The present invention can achieve the ONLINE RECOGNITION of power system Coherent Generator Group, be that dynamic equivalent and the islanding control of power system provides plenty of time.
Description
Technical field
The present invention relates to the control field of power system, more particularly to the generating set same tone based on wide area measurement information
Identifying schemes.
Background technology
When power system is disturbed, in system, occur that the oscillatory characteristic of some generators is same or like, this
Plant phenomenon and be called the people having the same aspiration and interest, these generators are referred to as Coherent Generator Group.After power system is disturbed, recognize same in power system
A group of planes is adjusted, is polymerized into one and check-in is waited, can effectively simplify system, reduce the amount of calculation of power system dynamic equivalence；When
When power system occurs asynchronous oscillation, fast and accurately identification Coherent Generator Group is the prerequisite of Out-of-Step Splitting Systems.Therefore, to electricity
It is significant that Force system carries out coherence grouping.
Existing Coherent Generator Group recognizer is broadly divided into three kinds：1) according to the characteristic quantity for characterizing system features, adopt and divide
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 in failure removal moment
Amount training vector machine, then a point group is carried out to system by the characteristic information of fault rear motor.2) based on linearized system matrix
Sorting technique[4-5].Electric power system model is linearized by this kind of method, analyzes the people having the same aspiration and interest between each unit by the model parameter of system
Property.System is linearized at equalization point by document [4] using same conditioning technology slowly, by calculate linearized system characteristic value and
Characteristic vector judges the same tone of system.But the method is linearized system on the premise of microvariations, therefore it is only applicable to little disturbing
Dynamic analysis.3) the data mining method based on disturbed track[6-7].Document [6] is with time domain, three kinds of processing methods of frequency domain and wavelet analysis
The feature of rocking curve is extracted, homology group identification is carried out to stable multimachine rocking curve in finite time section, is isolated all
Potential unstability group.But the method data handling procedure is excessively complicated, the actually big system that is applied to is still needed further and is studied.Document
[7] retain source data main information using principal component analysis, by numerous in metric data and with certain correlation variable weight
The principal component component of newly one group of new generalized variable being independent of each other of composition, and then acquisition metric data, then by principal component
Loading coefficient realizes the coherence grouping to generator.
Based on the generating that electrical power system wide-area measuring system (Wide Area Measurement System, WAMS) is surveyed
The coherence grouping method of machine generator rotor angle information be based on the important method in the disturbed track coherence grouping method of generator.With being based on
Electrical power system wide-area measuring system WAMS of phasor measurement unit (Phasor Measurement Unit, PMU) is technically
Gradually ripe, in the commonly used of power-management centre above the provincial level[8], existing such method appearance[9].But need into one
The research of step and the such method of excavation.
Bibliography
[1] Wen Jun, Liu Tianqi, Li Xingyuan, etc. the Support Vector Machines Optimized algorithm [J] of ONLINE RECOGNITION Coherent Generator Group. China
Electrical engineering journal, 2008,28 (25)：80-85.
[2] Liu Mingbo. the ONLINE RECOGNITION [J] of people having the same aspiration and interest generating set is carried out with multilayer feedforward neural network. south China science and engineering 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. for slow people having the same aspiration and interest partitioning algorithm [J] of multi-machine power system dynamic equivalent. South China Science ＆ Engineering University is learned
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] Dai Chensong, Xue Feng, Xue Yusheng. point group's research [J] of disturbed track. Automation of Electric Systems, 2000,24
(1)：13-16.
[7] army, Mu Gang, Xu Weibin are pacified. the power system Coherent Generator Group based on PCA recognizes [J]. electrical network skill
Art, 2009,33 (3)：25-28.
[8] Duan Gang, Yan Yaqin, Xie Xiaodong. wide area phasor measuring technique present status and prospect [J]. power system is automatic
Change, 2015,39 (1)：73-80.
[9] Feng Kangheng, Zhang Yanxia, Liu Zhixiong, etc. Coherent Generator Group ONLINE RECOGNITION method [J] based on Wide-area Measurement Information. electrical network
Technology, 2014,38 (8)：82-86.
[10] Song Fangfang, Bi Tianshu, Yang Qixun. the power system based on WAMS is disturbed trajectory predictions [J]. and power 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.
Content of the invention
The present invention provide a kind of based on wide area measurement information, can self-adaptative adjustment divide group Coherent Generator Group of data window length fast
Speed identification new departure, to realize the ONLINE RECOGNITION of power system Coherent Generator Group, is dynamic equivalent and the islanding control of power system
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, if there is N platform generator in system, point group's letter
Breath is stored in people having the same aspiration and interest Matrix CN×NIn, element c in matrixijPeople having the same aspiration and interest relation of the reflection between generator i, j, works as cijWhen=1, generator
I, j people having the same aspiration and interest；Work as cijWhen=0, generator i, j non-coherent；Column vector Q1×NEach generator angle point number in storage point group's data window,
Matrix PN×NStore the matching angle points between each generator.The method for quickly identifying includes the steps：
1) people having the same aspiration and interest Matrix CN×NWith matching angle point matrix number PN×NInitialization；
2) record t divides generator rotor angle information and the sampling time of each generator in group data window, preserves 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 fitting cycle is set, and the rotor angular acceleration to generator carries out trigonometric function fitting；
5) the trigonometric function derivation obtained after the fitting to each motor, calculates Local Extremum and then determines each unit angle
Point, the angle point correspondence time of each generator are kept in matrix TN×h, amplitude kept 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 all not less than 5, to TN×hAnd EN×hIn time difference of each generator angle point and width
Value difference is compared, if i and generator j has angle point x, y and meets equation below
In formula, tix、tjyThe respectively xth of generator i, j, y angle point corresponding time；eix、ejyFor generator i, j
The corresponding amplitude of xth, y angle point；ε1For time threshold；ε2For amplitude thresholds, then the corresponding corners Matching of two units, matching angle
Point matrix number pij、pjiPlus 1；All generators are traveled through, updates matching angle point matrix number PN×N；
7) 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+zj)/2>Two generator people having the same aspiration and interest when 0.5, people having the same aspiration and interest matrix cij=1；Otherwise, cij=0；All generators are traveled through, is updated same
Adjust Matrix CN×N, coherence grouping terminates.
Beneficial effects of the present invention are as follows：
(1) the generator's power and angle information that the present invention is obtained based on WAMS measurement, is calculated by second differnce
Rotor angle acceleration information to generator.As rotor angular acceleration change is the basic reason of generator rotor angle change, rotor angle adds
Velocity variations become apparent from, and divide group more quick, accurate hence with generator amature angular acceleration.
(2) present invention divides group's data window long according to adaptive adjustment of speed of system unstability speed, meets different works
Requirement under condition to coherence grouping speed, can effectively realize the online quick identification of large-scale power system Coherent Generator Group, be system
Dynamic equivalent and islanding control provide plenty of time.
Description of the drawings
Fig. 1 generator amature angular acceleration curve
Specific embodiment
After power system is disturbed, the disturbed track of generator contains the whole of same tone between each unit of impact
Factor, obtains the people having the same aspiration and interest information of people having the same aspiration and interest generator, can effectively improve the degree of accuracy of coherence grouping according to the rocking curve of generator.
The present invention carries out the rotor angle acceleration that second differnce is calculated generator 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 extracts each generating
Angle point in machine matched curve.Close on the amplitude difference of angle point and time difference by each generator of comparison to determine two generators
Between same tone, realize synchronous point of group.
(1) trigonometric function fitting.From the model of speed regulator, the generator rotor angle of generator can be derived --- time graph is
The trigonometric function curve of decay[10].Because rotor angular acceleration is the second dervative of generator rotor angle, its change curve is still decay
Trigonometric function curve, meet Dirichlet condition, can be fitted with the trigonometric function of low order, its error of fitting is less than multinomial
Formula is fitted.Fitting form is
In formula, d ω/dt is the estimate of rotor angular acceleration；N is the fitting exponent number of trigonometric function；ak、bkFor triangle letter
Several coefficients.Coherence grouping algorithm started from disturbance start time, took fitting data window for 0.2 second.PMU substation 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 is obtained.The present embodiment
In, trigonometric function fitting is carried out to the rotor angular acceleration of generator with 0.08 second as the cycle.Each two all had during fitting week
The overlap of half period, i.e. fitting cycle are respectively：The 0-0.08 second, the 0.04-0.12 second, the like.
(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 key character information of image, moreover it is possible to effectively reduce pending information
Data volume, improves calculating speed so as to be applied to real-time processing and be possibly realized.Conventional Robust Algorithm of Image Corner Extraction is bent by profile first
Line carries out Gaussian smoothing, then the curvature of calculated curve every bit, finally chooses the maximum point of local curvature as angle point[11].Should
Method extraction angle point is more accurate, but amount of calculation is larger.In the present invention, the rotor angular acceleration of generator is intended using trigonometric function
Close, the extreme point of trigonometric function is the point of maximum curvature, as the angle point of curve.Therefore, compare its similitude and can determine whether that angle adds
The similitude of rate curve.The extraction of angle point is reduced to extreme point is asked for, greatly reduces the difficulty of solution.Angle point grid
Afterwards, the feature of angle steel joint is compared.The present invention closes on amplitude difference between angle point by each generator and time difference compares
The similarity of angle point.When p-th angle point of generator i is less than time threshold ε with the time difference of q-th angle point of generator j1,
Difference in magnitude is less than amplitude thresholds ε2, then it is assumed that the corresponding 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) for angle point amplitude.Take ε1=0.3 × min
(ti,tj), wherein ti、tjThe time difference of respectively two adjacent corner points of generator i, j；ε2=0.4 × min (αi(tp),αj(tq)).
If constraints meet if two generators corresponding corners Matching.When fault occurs t second, generator i, j matching angle points are calculated
Ratio z of two generator angle point numbers is accounted for respectivelyi、zj, as (zi+zj)/2>The two generator people having the same aspiration and interest are judged when 0.5.
Accompanying 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 its 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, obtains coupling angle point according to the Rule of judgment of formula (2) and is respectively bb ', cc ', dd ', ee ', matching angle
Count as 4.The corners Matching degree of two generators is zi=zj=4/5=0.8, meets inequality (zi+zj)/2>0.5, therefore two
Motor is people having the same aspiration and interest unit.
(3) selection of coherence grouping self-adapting data window length.The speed of system unstability is faster, and generator's power and angle change is got over
Hurry up.In order to realize quickly dividing group, it is possible to use it is long that constant angle points self adaptation chooses point group's data window.When the quick unstability of system
When, generator rotor angle change is fast, and angular acceleration change is accelerated, and the angle point number in the short time is many, takes short-data windows and can just quickly recognize
Coherent Generator Group；Conversely, when system unstability speed is slow, generator rotor angle and angular acceleration change are also slow, data window is lengthened and could include one
Fixed number purpose angle point is to complete correctly to divide group.It is 5 that the present invention takes constant angle points, then algorithm can be according to this constant angle points
The length of data window is adaptively chosen, and it is right under different operating modes that the method for this self-adaptative adjustment data window size effectively can meet
The requirement of coherence grouping speed, realizes online quickly point group.
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 matrixijPeople having the same aspiration and interest relation of the reflection 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 non-coherent；Column vector Q1×NEach generator angle point number in storage point group's data window, square
Battle array PN×NStore the matching angle points between each generator.The method for quickly identifying includes the steps：
1) people having the same aspiration and interest Matrix CN×NWith matching angle point matrix number PN×NInitialization；
2) record t divides generator rotor angle information and the sampling time of each generator in group data window, preserves 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 fitting cycle is set, and the rotor angular acceleration to generator carries out trigonometric function fitting；
5) the trigonometric function derivation obtained after the fitting to each motor, calculates Local Extremum and then determines each unit angle point, respectively
The angle point correspondence time of generator is kept in matrix TN×h, amplitude kept 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 all not less than 5, to TN×hAnd EN×hIn time difference of each generator angle point and difference in magnitude
It is compared, if i and generator j has angle point x, y and meets equation below
In formula, tix、tjyThe respectively xth of generator i, j, y angle point corresponding time；eix、ejyFor the xth of generator i, j, y
The corresponding amplitude of individual angle point；ε1For time threshold；ε2For amplitude thresholds, then the corresponding corners Matching of two units, matching angle are counted square
Battle array pij、pjiPlus 1；All generators are traveled through, updates matching angle point matrix number PN×N；
7) 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
+zj)/2>Two generator people having the same aspiration and interest when 0.5, people having the same aspiration and interest matrix cij=1；Otherwise, cij=0；All generators are traveled through, updates people having the same aspiration and interest matrix
CN×N, coherence grouping terminates.
2. recognition methods according to claim 1, it is characterised in that ε1=0.3 × min (tix,tjy)；ε2=0.4 × min
(eix,ejy).
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Effective date of registration: 20210113 Address after: 224053 Yongxing new energy equipment Industrial Park, Sanli village, Xinxing Town, Tinghu District, Yancheng City, Jiangsu Province (10) Patentee after: JIANGSU YIDUOLI NEW ENERGY TECHNOLOGY Co.,Ltd. Address before: 300072 Tianjin City, Nankai District Wei Jin Road No. 92 Patentee before: Tianjin University |