CN106443321A - Method for determining out-of-step center position - Google Patents
Method for determining out-of-step center position Download PDFInfo
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- CN106443321A CN106443321A CN201610761073.1A CN201610761073A CN106443321A CN 106443321 A CN106443321 A CN 106443321A CN 201610761073 A CN201610761073 A CN 201610761073A CN 106443321 A CN106443321 A CN 106443321A
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
- G01R31/00—Arrangements for testing electric properties; Arrangements for locating electric faults; Arrangements for electrical testing characterised by what is being tested not provided for elsewhere
- G01R31/08—Locating faults in cables, transmission lines, or networks
- G01R31/081—Locating faults in cables, transmission lines, or networks according to type of conductors
- G01R31/085—Locating faults in cables, transmission lines, or networks according to type of conductors in power transmission or distribution lines, e.g. overhead
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
- G01R27/00—Arrangements for measuring resistance, reactance, impedance, or electric characteristics derived therefrom
- G01R27/02—Measuring real or complex resistance, reactance, impedance, or other two-pole characteristics derived therefrom, e.g. time constant
- G01R27/04—Measuring real or complex resistance, reactance, impedance, or other two-pole characteristics derived therefrom, e.g. time constant in circuits having distributed constants, e.g. having very long conductors or involving high frequencies
Abstract
The invention relates to a positioning method of an out-of-step center. The method includes (1) setting M as the power sending side and N as the power receiving side in a double-side power equivalent system, wherein top-dotted E<M> and top-dotted E<N> respectively represent the system potentials of the power sending side and the power receiving side, by taking the top-dotted E<M> as the reference phasor, the phase angle of top-dotted E<N> lagging the top-dotted E<M> is Delta, and the amplitude of top-dotted E<N> is Rho E times of top-dotted E<M>; selecting a measured impedance trajectory equation according to the Rho E value; and (2) determining the out-of-step center. The method can accurately determine the out-of-step center.
Description
Technical field
The present invention relates to the relay protection field of power system is and in particular to out-of-step center during power system asynchronous oscillation
Localization method.
Background technology
In recent years the putting into operation of extra-high-voltage alternating current electrical network, new forms of energy a large amount of using and intelligent grid construction so that electric power
System has obtained significant progress, but it is also proposed higher requirement to the security and stability control of power system simultaneously[1].Electricity greatly
The most significant problems of Force system reliability are to prevent system crash from causing large-area power-cuts.Occur when power system loses synchronization
During vibration, Accident prevention expands and causes the most basic method of Tie-line Opening to be by step-out system sectionalizing from out-of-step center.Actual work
Out-of-Step Splitting Systems device based on local amount used in journey, to judge to lose generally by the calculated off line of typical Failure Model
Step section simultaneously configures installs disconnection device, each disconnection device using measure oscillation center whether on this circuit as action according to
According to.Therefore, the unordered action of Out-of-Step Splitting Systems device, the impact to unstability system for the aggravation can be caused when oscillation center shifts[2].Literary composition
Offer [3] and system whether unstability is judged by the change in active power transfer direction, the criterion based on IMPEDANCE ANGLE SEPARATION judges to lose
The position at step center, but the method is only capable of detecting the out-of-step center that the asynchronous oscillation cycle is more than under 100ms situation.Document [4] institute
State and be based onCriterion can determine that out-of-step center goes out current moment, but the position of out-of-step center cannot be caught, and practical application
When need to carry out the compensation of impedance angle according to line parameter circuit value.Document [5,6] is based on reactive power integration positioning oscillation center, adopts
Multiterminal electric parameter is positioned to out-of-step center and is caught, and can automatically adapt to the change of electric network composition and the method for operation, but works as
On adjacent two lines road during quick migration back and forth, the positioning of out-of-step center and oscillation center is all difficult to oscillation center.Literary composition
Offer [7] have studied both sides potential amplitude do not wait and total system impedance angle differ in the case of out-of-step center localization method, but not
Consider the impact to out-of-step center position for the both sides system operation mode change.Actual transmission line of electricity equivalent impedance angle is typically not equal to
Both sides equivalence system impedance angle, document [8] have studied both sides potential amplitude phase when total system impedance angle is unequal leads to
The rule of oscillation center migration, has shown that impedance inequality only results in oscillation center migration, is not result in out-of-step center migration
Conclusion.
As the above analysis, occur out-of-step center localization method during asynchronous oscillation also not complete for power system at present
It is apt to the method it is necessary to study new determination out-of-step center position.
List of references
[1] Zhang Baohui, Wang Chenggen, Hao Zhiguo. problem and the research needing development that power system Out-of-Step Splitting Systems exist
[J]. Electric Power Automation Equipment, 2010,30 (10)：1-6.
ZHANGBaohu, WANGChenggen, HAO Zhiguo.Problems and solutions ofpower
Systemout-of-step islanding [J] .ElectricPowerAutomationEquipment, 2010,30 (10)：
1-6.
[2] Zhang Baohui, Zhang Yigang, Haitao Liu. secionalizing system equipment principle research [J] based on local amount. Chinese motor
Engineering journal, 2001,21 (12)：67-72.
ZHANG Baohui, ZHANGYigang, LIU Haitao.Study on principle ofpower system
Separation device based on local electricalparameter [J] .Proceedings ofCSEE,
2001,21 (12)：67-72.
[3] Gao Peng, Wang Jianquan, Zhou Wenping. the improvement [J] of IMPEDANCE ANGLE SEPARATION Out-of-Step Splitting Systems criterion. Automation of Electric Systems,
2004,28 (24)：36～40.
GAO Peng, WANG Jianquan, ZHOU Wenping.Improvement ofthe apparent
Impedance angle separation criterion [J] .Automation ofElectric Power System,
2004,28 (24)：36～40.
[4] Zong Hongliang, Ren Zuyi, Zheng Yuping, etc. it is based onOut-of-Step Splitting Systems device [J]. Automation of Electric Systems,
2003,27 (19), 83-85.
ZONG Hongliang, REN Zuyi, ZHENGYuping, et al.Aout-of-step splitting
device based on the changing trackofthe voltage ofoscillation centre[J]
.Automation ofElectric Power System, 2003,27 (19), 83-85.
[5] Gao Peng, Wang Jianquan, Zhou Wenping, catches the theoretical research [J] of Out-of-Step Splitting Systems section based on reactive power. electric power
System automation, 2005,29 (5)：15～20.
GAO Peng, WANG Jianquan, ZHOU Wenping.Theoretical study on capturing
the separation interface of out-of-step basedon reactive power[J].Automation
OfElectric Power System, 2005,29 (5)：15～20.
[6] Wang Yifei, Wu Jiajun, Yun Lei, etc. the technique study [J] of oscillation center is caught based on reactive power. Electricity in Shaanxi Province
Power, 2013,41 (5)：21-26.
WangYifei, Wu Jiajun, Yun lei, et al.Anew methodto capture the
Oscillation centerbased on reactive power integral [J] .Shaanxi Electric Power,
2013,41 (5)：21-26.
[7] Zhang Yanxia, covers Gao Peng, Zhao Ran, etc. out-of-step center positioning and oscillation center moving tracks [J] under complex scene.
Electric power network technique, 2015,39:2264-2269.
ZHANGYanxia, MENG Gaopeng, ZHAO Ran, et al.Study on locating ofout-of-
step centre andmechanism ofoscillation centre migrating under complicated
Scenes [J] .Power System Technology, 2015,39:2264-2269.
[8] Liu Fusuo, Fang Yongjie, Li Wei, etc. impedance inequality leads to the rule [J] of oscillation center migration. electric power network technique,
2014,38 (1)：3795-3800.
LIU Fusuo, FANGYongjie, LI Wei, et al.The mechanism ofoscillation centre
Migration due to impedance inequality [J] .Power System Technology, 2014,38 (1)：
3795-3800.
Content of the invention
The purpose of the present invention is to improve the above-mentioned deficiency overcoming prior art, provides a kind of determination out-of-step center position
Method.Technical scheme is as follows：
A kind of localization method of out-of-step center, specifically includes the following step：
1., in the valve system such as bilateral source, if M is power transmission side, N is power side,WithIt is respectively power transmission side and power side
System potential, withIt is with reference to phasor,DelayedPhase angle be δ, its amplitude isρETimes, that is, have
According to ρEValue, selects measurement locus of impedance equation to be formula (1) or (2)；If ρE=1, using formula (1)；If ρE≠ 1, using formula (2)；
In formula, r and x is respectively the variable of the transverse and longitudinal coordinate representing complex impedance Plane-point；And RRAnd XRBe by power supply and
The coordinate figure of the power side system centre that line parameter circuit value determines
It is respectively the impedance of the valve systems such as valve system, transmission line of electricity, N side such as M side；
2. locus of impedance equation and formula (3) simultaneous will be measured, obtain intersection point Q1(r1,x1)；If 0 ＜ r1≤RM, then Q1(r1,x1)
It is out-of-step center；Otherwise, using next step；
In formula,For the coordinate figure of power transmission side system outlet,Coordinate figure for power side system entry；
3. locus of impedance equation and formula (4) simultaneous will be measured, obtain intersection point Q2(r2,x2)；If RM＜ r2≤RN, then Q2(r2,x2)
It is out-of-step center；Otherwise, using next step；
4. locus of impedance equation and formula (5) simultaneous will be measured, obtain intersection point Q3(r3,x3).Q3(r3,x3) it is out-of-step center.
Beneficial effects of the present invention are as follows：
1st, the present invention is applied to the valve systems such as any bilateral source.No matter whether both sides equivalence potential amplitude is equal, no
By M side system equivalent impedance ZM, the equivalent impedance Z of transmission line of electricity MNL, N side system equivalent impedance ZNWhether the impedance angle of this three
Equal, the present invention is all suitable for.
2nd, the present invention based at bus measurement locus of impedance and S → M, M → N, N → R tri- line segment linear equation ask for hand over
Point, to determine the position of out-of-step center.With respect to the scheme of traditional determination out-of-step center position, the present invention can be accurately positioned mistake
Step center, clear principle, contribute to design and the realization of real-time Out-of-Step Splitting Systems control program.
Brief description
The valve systems such as Fig. 1 two machine
Fig. 2 ρETake measurement locus of impedance scattergram during different value
Specific embodiment
Bilateral source equivalence system diagram is shown graphically in the attached figures 1, if in figure M is power transmission side, N is power side,WithRespectively send
Electric side and power side system potential, withIt is with reference to phasor,DelayedPhase angle be δ, its amplitude isρETimes, that is, have It is respectively valve system, transmission line of electricity, the N sides etc. such as M side
The impedance of valve system, and makeHypothesis below is adopted in analysis：
(1) in the frequency range of system asynchronous oscillation, the impedance of each element of system keeps constant；
(2) combine actual electric network parameter it is assumed that both sides system equivalent impedance angle is less than line impedance angle, that is,And
(3) after there is asynchronous oscillation in system, both sides potential Amplitude Ration ρEKeep constant.According to Operation of Electric Systems code
Require, in system, each busbar voltage must be (1 ± 5%) UN, so ρESpan is 0.9～1.1.
After asynchronous oscillation, the unidirectional swing between 0 °～360 ° scopes of both sides potential phase angle difference δ, system power is
M side bus voltage is
Then M side protection measurement impedance be
Formula (1) is substituted into above formula, obtains
In complex impedance plane, ρEMeasurement locus of impedance distribution situation during different value is taken to be illustrated in accompanying drawing 2, with M side-line
System end points S makees impedance diagram for initial point, then M point to the corresponding impedance of M side system end points S is ZM, the impedance of transmission line of electricity MN is ZL, N
Point to the corresponding impedance of N side system end points R is ZN.Work as ρEWhen=1, ZK·MTrack be one perpendicular toStraight line；Work as ρE≠1
When, ρETake different values, ZK·MThe track Shi Tu2Zhong center of circle be located atOn extended line orCluster impedance on extended line
Circle.Point on impedance circle (or straight line) is represented using alphabetical O, whenWithWhen turning clockwise for reference axis, namely generator rotor angle
During δ is swung by 0 ° to 360 °, dynamic point O is along O1→O2→O3→O4Direction locus of impedance circle on move, dynamic point O
An inswept complete circle correspond to generator rotor angle δ and swung 360 °.
The line of M point to the upper O point of locus circle (or straight line) represents the measurement impedance obtaining on a certain moment M bus, such as
In accompanying drawing 2Represent Z not in the same time respectivelyK·M.It is further known that broken line S → M → N → R takes up an official post
Some measurement impedance with this point of phasor representation of locus circle (or straight line) upper O point line composition.Therefore S point measures impedanceR point measures impedanceSuch that it is able to obtain,
This means in complex impedance plane, the ratio of distances constant that measurement locus of impedance O represents two fixing point R, S is equal to ρEPoint
Set.
For valve systems such as bilateral sources, out-of-step center refers to 180 ° of moment voltage magnitude falls of δ ≈ in the cycle of oscillation
It is zero point.Correspondingly, in fig 2, broken line S → M → N → R measures the point that resistance value is zero and be out-of-step center.With ρE
As a example=0.9 locus circle, it is Q with the intersection point of broken line S → M → N → R.When dynamic point O moves to Q on measurement locus of impedance
During point, the wire length of Q point to dynamic point O is zero, and that is, the measurement resistance value of Q point is zero.So, Q point is ρE=0.9 is corresponding
Out-of-step center.
As can be seen here, in complex impedance plane, the locus circle (or straight line) of impedance and the intersection point of broken line S → M → N → R are measured
It is out-of-step center.If can obtain measuring the analytic equation of locus of impedance and broken line S → M → N → R, simultaneous equations solve
Intersection point, just can obtain the position of out-of-step center.In Fig. 2, S point coordinates is (0,0)；M point coordinates is
It is designated as M (RM,XM)；The coordinate of N point isIt is designated as N (RN,XN)；R point is sat
It is designated asIt is designated as R (RR,
XR).S → M, M → N, the linear equation of N → R tri- line segment can be write out respectively
In formula, r and x is respectively and represents the abscissa of complex impedance Plane-point and the variable of vertical coordinate.
Demonstrate,prove above, measurement locus of impedance O represents the ratio of distances constant to two fixing point R, S in complex impedance plane and is equal to
ρEPoint set.So, in addition to available formula (4) expression, the equation with variable r, x expression is measurement locus of impedance O
Wherein,For the distance of R point is put on measurement locus of impedance,For measuring impedance rail
The distance of S point is put on mark.By above formula abbreviation, can obtain
Thus, out-of-step center can position as follows：
1. according to ρEValue, selects measurement locus of impedance equation to be formula (9) or (10).If ρE=1, using formula (9)；If ρE≠
1, using formula (10)；
2. locus of impedance equation and formula (5) simultaneous will be measured, obtain intersection point Q1(r1,x1).If 0 ＜ r1≤RM, then Q1(r1,x1)
It is out-of-step center；Otherwise, using next step；
3. locus of impedance equation and formula (6) simultaneous will be measured, obtain intersection point Q2(r2,x2).If RM＜ r2≤RN, then Q2(r2,x2)
It is out-of-step center；Otherwise, using next step；
4. locus of impedance equation and formula (7) simultaneous will be measured, obtain intersection point Q3(r3,x3).Q3(r3,x3) it is out-of-step center.
Claims (1)
1. a kind of localization method of out-of-step center, comprises the following steps：
1., in the valve system such as bilateral source, if M is power transmission side, N is power side,WithIt is respectively power transmission side and power side system
Potential, withIt is with reference to phasor,DelayedPhase angle be δ, its amplitude isρETimes, that is, haveAccording to
ρEValue, selects measurement locus of impedance equation to be formula (1) or (2)；If ρE=1, using formula (1)；If ρE≠ 1, using formula (2)；
In formula, r and x is respectively the variable of the transverse and longitudinal coordinate representing complex impedance Plane-point；And RRAnd XRIt is by power supply and circuit
The coordinate figure of the power side system centre that parameter determines
It is respectively the impedance of the valve systems such as valve system, transmission line of electricity, N side such as M side；
2. locus of impedance equation and formula (3) simultaneous will be measured, obtain intersection point Q1(r1,x1)；If 0 ＜ r1≤RM, then Q1(r1,x1) be
Out-of-step center；Otherwise, using next step；
In formula,For the coordinate figure of power transmission side system outlet,Coordinate figure for power side system entry；
3. locus of impedance equation and formula (4) simultaneous will be measured, obtain intersection point Q2(r2,x2)；If RM＜ r2≤RN, then Q2(r2,x2) be
Out-of-step center；Otherwise, using next step；
4. locus of impedance equation and formula (5) simultaneous will be measured, obtain intersection point Q3(r3,x3).Q3(r3,x3) it is out-of-step center.
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Cited By (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN107526901A (en) * | 2017-09-15 | 2017-12-29 | 华北电力大学 | Power system out-of-step center positions and oscillation center tracing system and its method |
| CN111030086A (en) * | 2019-11-21 | 2020-04-17 | 中国电力科学研究院有限公司 | Power grid out-of-step oscillation center positioning method and system based on voltage phasor trajectory |
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| CN107526901A (en) * | 2017-09-15 | 2017-12-29 | 华北电力大学 | Power system out-of-step center positions and oscillation center tracing system and its method |
| CN107526901B (en) * | 2017-09-15 | 2020-09-29 | 华北电力大学 | Power system step-out center positioning and oscillation center tracking system and method thereof |
| CN111030086A (en) * | 2019-11-21 | 2020-04-17 | 中国电力科学研究院有限公司 | Power grid out-of-step oscillation center positioning method and system based on voltage phasor trajectory |
| CN111030086B (en) * | 2019-11-21 | 2022-07-01 | 中国电力科学研究院有限公司 | Power grid out-of-step oscillation center positioning method and system based on voltage phasor trajectory |
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