CN104240036B - A kind of Transient Voltage Stability quantitative estimation method based on critical system equiva lent impedance - Google Patents
A kind of Transient Voltage Stability quantitative estimation method based on critical system equiva lent impedance Download PDFInfo
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Abstract
The present invention relates to a kind of Transient Voltage Stability quantitative estimation methods based on critical system equiva lent impedance, include the following steps：When system jam, selection monitoring busbar；Seek the initial equiva lent impedance curve of system and equivalent potential curve that monitoring busbar is seen into, and the state variable and algebraic variable of direct current or Dynamic Load Model at the fault clearance moment at monitoring busbar；Establish equivalent system model；Seek critical system equiva lent impedance curve；According to initial and critical system equiva lent impedance curve, computing system Transient Voltage Stability quantitative evaluation index.The present invention fully considers the dynamic response characteristic of the elements such as direct current, load, realizes the quantitative evaluation of Transient Voltage Stability.The present invention can operate with electric system on-line analysis control and off-line simulation analysis, Enhancement of Transient Voltage Stability differentiation and weak node identification are carried out conducive to ac and dc systems operation, analysis personnel, it takes effective measures in time, the safe and stable operation for improving bulk power grid is horizontal.
Description
Technical field
The present invention relates to a kind of appraisal procedure, in particular to a kind of transient voltage based on critical system equiva lent impedance is steady
Quantitative evaluation method.
Background technology
With economy and social development, installed capacity and load level constantly increase, and power grid scale constantly expands, system fortune
Row point becomes closer to stability limit, so there are the risks that collapse of voltage occurs for whole system.Transient Voltage Stability problem phase
To complexity, stability assessment method and discriminant criterion are always research hotspot.The most commonly used is time-domain-simulations for Transient Voltage Stability
Method can only provide whether system stablizes conclusion although this method can accurately count and element dynamic characteristic, can not provide stabilization
Degree information.And in existing Transient Voltage Stability appraisal procedure, lack effective quantitative estimation method.
The PMU that Electrical Power System Dynamic behavior can be monitored provides new tool for voltage stabilization on-line monitoring.Utilize PMU
It measures and Dai Weinan equivalent models carries out voltage stabilization on-line monitoring, be one of them important research direction.But due to dynamic
There are the differential equations in load model, it is difficult to form more accurate quantitative evaluation index according to single or multiple section.
Invention content
In view of the deficiencies of the prior art, the object of the present invention is to provide a kind of, and the transient state based on critical system equiva lent impedance is electric
Pressure stablizes quantitative estimation method, and this method can fully consider the dynamic response characteristic of the elements such as direct current, load, realizes transient state electricity
Press stable quantitative evaluation.The present invention can operate with electric system on-line analysis control and off-line simulation analysis, be conducive to hand over straight
Streaming system operation, analysis personnel carry out Enhancement of Transient Voltage Stability differentiation and weak node identification, take effective measures, carry in time
The safe and stable operation of high bulk power grid is horizontal.
The purpose of the present invention is what is realized using following technical proposals：
The present invention provides a kind of Transient Voltage Stability quantitative estimation method based on critical system equiva lent impedance, improves it
It is in the method includes following step：
Step 1：When electric system is broken down, monitoring busbar is chosen；
Step 2：Seek the initial equiva lent impedance curve of system and equivalent potential curve of monitoring busbar；
Step 3：Direct current or Dynamic Load Model are sought at monitoring busbar in the state variable and algebraically at fault clearance moment
Variable；
Step 4：Establish equivalent system model；
Step 5：Seek critical system equiva lent impedance curve；
Step 6：According to initial equiva lent impedance curve and critical system equiva lent impedance curve, electrical power system transient voltage is calculated
Stablize quantization evaluation index.
Further, in the step 1, the monitoring busbar of selection is the change of current busbar or load busbar of direct current.
Further, the step 2 includes following situations：
Situation 2-1：Under offline mode, time-domain-simulation is carried out to the whole network, electricity is determined according to the admittance battle array at each emulation moment
Force system equiva lent impedance and equivalent potential；
If monitoring that the node serial number of busbar is i；
It is in the network equation of t moment, electric system：
Wherein, YtFor the admittance matrix of t moment system；For the Injection Current vector of each node of t moment system；For
The voltage vector of each node of t moment system；
The impedance matrix Z of systemtFor：
Then system equiva lent impedance ZeqFor：
Zeq=Ztii(3)；
Wherein, ZtiiFor ZtI-th row diagonal element；
System equivalent potentialFor：
Wherein,For the voltage of i-th of busbar,To flow out the electric current of i-th of busbar；
Situation 2-2：Under online mode, the voltage and current value at monitoring busbar measured according to phasor measurement unit PMU,
Determine system equiva lent impedance and equivalent potential；
If the voltage and current (it is just to flow into direct current or load) that t moment phasor measurement unit PMU is measured is respectivelyWithSystem equiva lent impedance and equivalent potential are respectivelyAnd Zeq', then have：
The phasor measurement unit PMU for choosing multiple adjacent moments is measured, and takes least square method, Kalman filtering method, base
System equiva lent impedance and equivalent potential are determined in the Thevenin's equivalence parameter tracking algorithm of total differential.
Further, the step 3 includes following situations：
Situation 3-1：Under offline mode, according to time-domain simulation results, directly read straight at fault clearance moment monitoring busbar
The state variable and algebraic variable of stream or Dynamic Load Model；
Situation 3-2：Under online mode, according to before failure to fault clearance moment continuous multigroup phasor measurement unit PMU amounts
It surveys and the dynamic model of direct current or load calculates its state variable and algebraic variable；
Before failure, direct current or load are in stable state, and the derivative of state variable is zero, according to direct current or Dynamic Load Model
Parameter and PMU measurements calculate state variable and algebraic variable；
In failure, since direct current or load busbar voltage and Injection Current are directly measured with PMU；Emulation is to when fault clearance
Quarter obtains the state variable and algebraic variable of the moment direct current or Dynamic Load Model.
Further, in the step 4, the system equivalent model at busbar will be monitored and spelled with direct current or load equivalent model
It connects, establishes equivalent system model.
Further, in the step 5, it is continuously increased system equiva lent impedance, time-domain-simulation is carried out to equivalent system, until
Electric system neutrality obtains critical system equiva lent impedance curve.
Further, it in the step 6, according to initial equiva lent impedance curve and critical system equiva lent impedance curve, calculates
Transient Voltage Stability in Electric Power System quantitative evaluation index kTVSI：
Wherein, Zeq(t) it is the initial system equiva lent impedance of t moment, Zeqcrit(t) it is the equivalent resistance of critical system of t moment
It is anti-, t1 (+)For moment after fault clearance, t2For time-domain-simulation finish time；
Work as kTVSI>When 0, power system stability；Work as kTVSIWhen=0, electric system neutrality.
Compared with the prior art, the beneficial effects of the invention are as follows：
1. the Transient Voltage Stability quantitative estimation method of critical system equiva lent impedance provided by the invention, can fully consider
The dynamic response characteristic of the elements such as direct current, load realizes the quantitative evaluation of Transient Voltage Stability.
2. the present invention can operate with electric system on-line analysis control and off-line simulation analysis, it is conducive to ac and dc systems and transports
Row, analysis personnel carry out Enhancement of Transient Voltage Stability differentiation and weak node identification, take effective measures in time, improve bulk power grid
Safe and stable operation it is horizontal.
Description of the drawings
Fig. 1 is system schematic in embodiment provided by the invention；Wherein：Busbar 1 is sending end infinity generator, circuit
Busbar 2- busbares 3 are double back 500kV lines, and busbar 4 be load (load model be+40% constant-impedance of 60% motor), busbar 5 for by
Terminal group, busbar 6 are DC inversion side current conversion station, and busbar 7 is DC rectifier side current conversion station；
Fig. 2 is failure afterload busbar voltage curve graph in embodiment provided by the invention；
Fig. 3 is failure afterload current curve diagram in embodiment provided by the invention；
Fig. 4 is post-fault system equivalent potential curve graph in embodiment provided by the invention；
Fig. 5 is post-fault system equiva lent impedance curve graph in embodiment provided by the invention；
Fig. 6 is critical system equiva lent impedance curve graph after failure in embodiment provided by the invention；
Fig. 7 is the Transient Voltage Stability quantitative estimation method flow provided by the invention based on critical system equiva lent impedance
Figure.
Specific implementation mode
The specific implementation mode of the present invention is described in further detail below in conjunction with the accompanying drawings.
Transient Voltage Stability quantitative estimation method provided by the invention based on critical system equiva lent impedance, will monitor busbar
System equivalent model and the direct current at fault clearance moment or the Dynamic Load Model splicing seen into, establish equivalent system model,
By carrying out time-domain-simulation to equivalent system, critical system equiva lent impedance is sought, and then computing system Transient Voltage Stability quantifies
Evaluation index.Specific steps as shown in a flowchart of fig. 7, include the following steps：
Step 1：When electric system is broken down, selection monitoring busbar；The monitoring busbar of selection can be with changing for direct current
Flow busbar, or load busbar.
Step 2：It seeks the system equiva lent impedance curve that monitoring busbar is seen into and (is known as " initial system equiva lent impedance song
Line ") and equivalent potential curve；
Including the following two kinds situation：
Situation 2-1：Under offline mode, time-domain-simulation is carried out to the whole network, system is calculated according to the admittance battle array at each emulation moment
Equiva lent impedance of uniting and equivalent potential；
Without loss of generality, if the node serial number of monitoring busbar is i.
It is in the network equation of t moment, electric system：
Wherein, YtFor the admittance matrix of t moment electric system；For each node of t moment electric system Injection Current to
Amount；For the voltage vector of each node of t moment electric system.
The impedance matrix Z of electric systemtFor：
Then electric system equiva lent impedance ZeqFor：
Zeq=Ztii(3)；
Wherein, ZtiiFor ZtI-th row diagonal element.
Electric system equivalent potentialFor：
Wherein,It isiThe voltage of a busbar,To flow out the electric current of i-th of busbar.
Situation 2-2：Under online mode, the voltage at monitoring busbar, the electric current that are measured according to PMU (phasor measurement unit)
Value, estimating system equiva lent impedance and equivalent potential；
Without loss of generality, if voltage, electric current (it is just to flow into direct current or load) that t moment PMU is measured are
System equiva lent impedance, equivalent potential areZeq', then have：
The PMU for choosing multiple adjacent moments is measured, and can take a variety of method estimation electric system equiva lent impedances and equivalent electricity
Gesture, such as most descend square law, Kalman filtering method, the Thevenin's equivalence parameter tracking algorithm based on total differential.
The electric system equiva lent impedance curve that step 2 obtains is initial system equiva lent impedance curve.
Step 3：Direct current or Dynamic Load Model are sought at monitoring busbar in the state variable and algebraically at fault clearance moment
Variable；
Including the following two kinds situation：
Situation 3-1：Under offline mode, according to time-domain simulation results, directly read straight at fault clearance moment monitoring busbar
The state variable and algebraic variable of stream or Dynamic Load Model.
Situation 3-2：Under online mode, according to before failure, to the fault clearance moment, continuously multigroup PMU is measured and direct current or negative
The dynamic model of lotus calculates its state variable and algebraic variable.
Before failure, direct current or load are in stable state, and the derivative of state variable is zero, according to its dynamic model parameters and
PMU measurements can readily calculate state variable and algebraic variable.
In failure, since the busbar voltage and Injection Current of direct current or load can directly be measured with PMU, there is no need into
Row network calculations can carry out time-domain-simulation to direct current or Dynamic Load Model；When emulation to the fault clearance moment can obtain this
Carve the state variable and algebraic variable of direct current or load model.
Step 4：The electric system equivalent model at busbar will be monitored with direct current or load equivalent model to splice, established equivalent
System model；
Step 5：It is continuously increased system equiva lent impedance, time-domain-simulation is carried out to equivalent system, seeks the equivalent resistance of critical system
Anti- curve；
Step 6：Referred to according to initial and critical system equiva lent impedance curve, computing system Transient Voltage Stability quantitative evaluation
Mark.
System transient modelling voltage stabilization quantitative evaluation index kTVSI：
Wherein, Zeq(t) it is the initial system equiva lent impedance of t moment, Zeqcrit(t) it is the equivalent resistance of critical system of t moment
It is anti-, t1 (+)For moment after fault clearance, t2For time-domain-simulation finish time.
Work as kTVSI>When 0, system is stablized；Work as kTVSIWhen=0, system neutrality.
Embodiment
By taking electric system shown in Fig. 1 as an example.Wherein, busbar 1 is sending end infinity generator, and line bus 2- busbares 3 are
Double back 500kV lines, busbar 4 are load (load model is+40% constant-impedance of 60% motor), and busbar 5 is receiving end unit, busbar 6
For DC inversion side current conversion station, busbar 7 is DC rectifier side current conversion station.It is 1500MW, 3 tide of line bus 2- busbares by end load
It is 0 to flow active, dc power 800MW.When 1s, three-phase shortcircuit event occurs for 3 side of busbar in double loop busbar 2- busbares 3
Hinder, fault clearance after 1.1s.Load busbar voltage and load current curve are as shown in Figure 2 and Figure 3.
The first step：After failure occurs, load busbar 4 is selected to calculate each moment by time-domain-simulation for monitoring busbar
System equivalent potential, equiva lent impedance, as a result as shown in Figure 4, Figure 5.
Second step：The state variable and algebraic variable of fault clearance moment load are directly read from time-domain simulation results,
Itself and system equivalent parameters are spliced, equivalent system is formed.
Third walks：Increase system equiva lent impedance carries out time-domain-simulation to equivalent system, until system neutrality, can obtain
System critical impedance curve, the results are shown in Figure 6.
4th step：Computing system Transient Voltage Stability quantitative evaluation index, it is 0.3469 that can obtain stability margin index.
Finally it should be noted that：The above embodiments are merely illustrative of the technical scheme of the present invention and are not intended to be limiting thereof, to the greatest extent
Invention is explained in detail with reference to above-described embodiment for pipe, and those of ordinary skill in the art still can be to this hair
Bright specific implementation mode is modified or replaced equivalently, these without departing from spirit and scope of the invention any modification or
Equivalent replacement, within the claims for applying for the pending present invention.
Claims (1)
1. a kind of Transient Voltage Stability quantitative estimation method based on critical system equiva lent impedance, which is characterized in that the method
Include the following steps：
Step 1：Choose monitoring busbar when electric system is broken down；
Step 2：Seek the initial system equiva lent impedance curve and equivalent potential curve of monitoring busbar；
Step 3：Direct current or Dynamic Load Model are sought at monitoring busbar in the state variable and algebraic variable at fault clearance moment；
Step 4：Establish equivalent system model；
Step 5：Seek critical system equiva lent impedance curve；
Step 6：According to initial system equiva lent impedance curve and critical system equiva lent impedance curve, electrical power system transient voltage is calculated
Stablize quantization evaluation index；
In the step 1, the monitoring busbar of selection is the change of current busbar or load busbar of direct current；
The step 2 includes the step under following offline and online modes：
Under offline mode：Time-domain-simulation is carried out to the whole network, determines that electric system is equivalent according to the admittance matrix at each emulation moment
Impedance and equivalent potential；
If monitoring that the node serial number of busbar is i；
It is in the network equation of t moment, electric system：
Wherein, YtFor the admittance matrix of t moment system；For the Injection Current vector of each node of t moment system；For t moment
The voltage vector of each node of system；
The impedance matrix Z of systemtFor：
Then system equiva lent impedance ZeqFor：
Zeq=Ztii(3)；
Wherein, ZtiiFor ZtI-th row diagonal element；
System equivalent potentialFor：
Wherein,For the voltage of i-th of busbar,To flow out the electric current of i-th of busbar；
Under online mode：The voltage and current value at monitoring busbar measured according to phasor measurement unit PMU, determines that system is equivalent
Impedance and equivalent potential；
If the voltage and current that t moment phasor measurement unit PMU is measured is respectivelyWithWherein：Flow into direct current or load
For just, system equiva lent impedance and equivalent potential are respectivelyAnd Zeq', then have：
The phasor measurement unit PMU for choosing multiple adjacent moments is measured, and takes least square method, Kalman filtering method, based on complete
The Thevenin's equivalence parameter tracking algorithm of differential determines system equiva lent impedance and equivalent potential；
The step 3 includes the step under following offline and online modes：
Under offline mode：According to time-domain simulation results, direct current or load dynamic at fault clearance moment monitoring busbar are directly read
The state variable and algebraic variable of model；
Under online mode：According to before failure, to the fault clearance moment, continuously multigroup phasor measurement unit PMU is measured and direct current or negative
Lotus dynamic model calculates its state variable and algebraic variable；
Before failure, direct current or load are in stable state, and the derivative of state variable is zero, according to direct current or Dynamic Load Model parameter
State variable and algebraic variable are calculated with PMU measurements；
In failure, since direct current or load busbar voltage and Injection Current are directly measured with PMU；Emulation to the fault clearance moment obtains
To the state variable and algebraic variable of the moment direct current or Dynamic Load Model；
In the step 4, the equivalent model at busbar will be monitored and spliced with direct current or Dynamic Load Model, equivalent system mould is established
Type；
In the step 5, it is continuously increased initial system equiva lent impedance, time-domain-simulation is carried out to equivalent system, until electric system
Neutrality obtains critical system equiva lent impedance curve；
In the step 6, according to initial system equiva lent impedance curve and critical system equiva lent impedance curve, it is temporary to calculate electric system
State voltage stabilization quantitative evaluation index kTVSI：
Wherein, Zeq(t) it is the initial system equiva lent impedance of t moment, Zeqcrit(t) it is the critical system equiva lent impedance of t moment, t1 (+)For moment after fault clearance, t2For time-domain-simulation finish time；
Work as kTVSIWhen ＞ 0, power system stability；Work as kTVSIWhen=0, electric system neutrality.
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| CN107727913A (en) * | 2017-09-25 | 2018-02-23 | 天津理工大学 | A kind of method of the area voltage stability on-line monitoring based on synchronous phasor measurement |
| CN108092272A (en) * | 2017-12-18 | 2018-05-29 | 湘潭大学 | A kind of voltage stabilization on-line monitoring method based on the Kalman filtering that fades |
| CN113433426B (en) * | 2021-08-30 | 2021-12-31 | 国网江西省电力有限公司电力科学研究院 | Method and device for calculating critical fault position of converter bus of direct-current transmission system |
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| CN101625389A (en) * | 2009-08-06 | 2010-01-13 | 中国电力科学研究院 | Method for analyzing stability of power system by considering change characteristic of load |
| CN103606921A (en) * | 2013-12-10 | 2014-02-26 | 上海交通大学 | Transient voltage stabilization judgment method based on real-time generalized Thevenin equivalence |
| CN103870703A (en) * | 2014-03-26 | 2014-06-18 | 国家电网公司 | Dynamic short-circuit ratio calculation method based on Thevenin equivalent parameter tracking |
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|---|---|---|---|---|
| CN101625389A (en) * | 2009-08-06 | 2010-01-13 | 中国电力科学研究院 | Method for analyzing stability of power system by considering change characteristic of load |
| CN103606921A (en) * | 2013-12-10 | 2014-02-26 | 上海交通大学 | Transient voltage stabilization judgment method based on real-time generalized Thevenin equivalence |
| CN103870703A (en) * | 2014-03-26 | 2014-06-18 | 国家电网公司 | Dynamic short-circuit ratio calculation method based on Thevenin equivalent parameter tracking |
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