CN103258114A - Multiple centrality measure based minimum break point set vulnerability analyzing method - Google Patents

Multiple centrality measure based minimum break point set vulnerability analyzing method Download PDF

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CN103258114A
CN103258114A CN2013101135139A CN201310113513A CN103258114A CN 103258114 A CN103258114 A CN 103258114A CN 2013101135139 A CN2013101135139 A CN 2013101135139A CN 201310113513 A CN201310113513 A CN 201310113513A CN 103258114 A CN103258114 A CN 103258114A
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break point
class
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田霖
晋龙兴
赵曼勇
文安
汪皓
莫天文
黄维芳
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Huazhong University of Science and Technology
China Southern Power Grid Co Ltd
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Huazhong University of Science and Technology
China Southern Power Grid Co Ltd
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Abstract

The invention relates to the technical field of online setting of power systems and provides a multiple centrality measure based minimum break point set vulnerability analyzing method. The method includes S1, sequentially calculating structural vulnerability indexes of each group of minimum break point sets, and classifying f groups of minimum break point sets and selecting a category with lowest structural vulnerability as an optimum category; and S2, acquiring an optimum break point set by judging the type of the optimum category. On the basis of utilizing the structural vulnerability indexes, vulnerability of break points is effectively evaluated from a prospective of flow transferring degree; maloperation consequences of backup protection at the break points after line fault are taken into consideration by an established MBPS structural vulnerability evaluation model, and major potential safety hazards brought to a power grid caused by random acquiring of MBPS are avoided by utilizing the model to evaluate the MBPS.

Description

A kind of minimum break point set vulnerability analysis method of estimating based on multicentricity
Technical field
The invention belongs to electric system on-line tuning technical field, more specifically, relate to a kind of minimum break point set vulnerability analysis method of estimating based on multicentricity.
Background technology
The extensive transfer of circuit trend and the incorrect action of protective device are the main inducing that the accident of having a power failure on a large scale takes place.The back-up protection definite value at breakpoint place is forced according to protecting sensitivity or protecting selectivity and adjust, and its malfunction or tripping are the major safety risks of having a power failure on a large scale and taking place.Be the possibility minimum that makes protection malfunction and tripping in the total system scope, (minimum break point set, asking for MBPS) is the problem that the scholar is devoted to solve to minimum break point set always.Exist the potential safety hazard of a large amount of MBPS and different MBPS to have significant difference in the large-scale complex looped network, the MBPS that asks at random is difficult to guarantee the potential safety hazard minimum.At present, do not set up effective MBPS vulnerability assessment model as yet.Therefore, set up the vulnerability assessment model of MBPS, become problem demanding prompt solution to ask for the minimum minimum break point set of potential safety hazard.
The vulnerability assessment of MBPS can be exchanged into the fragile structure assessment of transmission line of electricity.Fragile structure refers to that circuit or bus back out of service electrical network keep the ability of normal transmission of electricity and power supply.Evaluation index has node degree, Jie's number, connective loss, mean distance, cluster coefficients, network efficiency, inferior minimal eigenvalue etc.Wherein, the most frequently used evaluation index is Jie's number in the Complex Networks Theory and electric Jie's number of considering electrical network parameter and operation characteristic.Document has proposed the concept of limit Jie's number (be complex network Jie number, be called for short Jie's number) first, and it is defined as the bar number of any point-to-point transmission shortest path on this limit of process in the network.The proposition of limit Jie's number is in order to identify the network cluster structure (being also referred to as corporations' structure) in the complex network.Modern power network is in large scale and connect complexity, belongs to typical complex network, has tangible network cluster structure.The circuit that is between the network cluster has very high Jie's numerical value, plays an important role in the electric energy transmission.So Jie's number can be assessed the importance of circuit to a certain extent.
If do not consider physical characteristics and the operation restriction of electrical network, only can not provide significant analysis result with the topological diagram for the fundamental analysis electrical network.On the one hand, distribution of current satisfies Kirchhoff's law and Ohm law, is not to distribute according to shortest path.On the other hand, performance degree and the load level of electric network composition fragility are closely related.Only under the load level condition with higher, the fragile structure of circuit just can embody.
Original Jie's number is improved, proposed electric Jie's number of many consideration electrical network parameters and operation characteristic.Document adds unit current source between generator node and load bus, the electric current of bearing on the computational scheme is weighted this current value with the rated capacity of generator and the long-pending evolution of actual load again.Behind traversal the whole network generator node and the load bus, with the absolute value sum of all weighted current values as electric Jie's number.These indexs have only characterized the significance level of circuit from the central angle of Jie's number, but can not be directly and reflect that comprehensively circuit withdraws from the influence that shift trend the back.
Summary of the invention
At the defective of prior art, the invention provides a kind of minimum break point set vulnerability analysis method of estimating based on multicentricity, effectively assessed the fragility of breakpoint from the angle of trend metastasis degree; The MBPS fragile structure assessment models of setting up has been considered the malfunction consequence of breakpoint place back-up protection after the line fault, utilizes this model evaluation MBPS can avoid because asking for the major safety risks that MBPS brings to electrical network at random.
The invention provides a kind of minimum break point set vulnerability analysis method of estimating based on multicentricity, comprise the steps:
S1: calculate the fragile structure index of every group of minimum break point set successively, and f group minimum break point set is classified the minimum class of back choice structure fragility as premium class; F is positive integer;
S2: obtain optimum breakpoint collection by the classification of judging described premium class.
Further, in step S1, described fragile structure index is counted centrality and is estimated CB and obtain described fragile structure index according to estimate CC and Jie near centrality
Figure GDA00003002892700021
Further, describedly estimate near centrality
Figure GDA00003002892700031
Wherein, l IjBe circuit, i, j represent the node in the electrical network, and Φ represents the line set that the trend forward is strengthened, Φ sBe the reverse line set of strengthening of trend;
γ ij = ( z km - Z kk - Z mm + 2 Z km z km ) / ( Z ki - Z kj - Z mi + Z mj z ij ) , γ ij s = I km 0 / ( 2 I ij 0 + I km 0 / γ ij ) , z KmExpression circuit l KmPractical impedance, z IjExpression circuit l IjPractical impedance, Z represents circuit l KmThe nodal impedance matrix of electrical network before withdrawing from; I, j, k, m represent the node in the electrical network, Z Mm, Z Kk, Z Km, Z Ki, Z Kj, Z Mi, Z MjBe the element of matrix Z, circuit l KmCircuit l before withdrawing from IjWith circuit l KmElectric current is respectively
Figure GDA00003002892700034
,
Figure GDA00003002892700035
Further, give an account of several centrality and estimate CB=|P Km|, P KmExpression circuit l KmOn active power.
Further, in step S1, according to the classification of breakpoint minimum break point set is classified.
Further, the step of minimum break point set being classified according to the classification of breakpoint is specially:
If minimum break point set only comprises a class breakpoint, then be called I class minimum break point set;
If minimum break point set comprises two class breakpoints and do not comprise three class breakpoints, then be called II class minimum break point set;
If minimum break point set comprises three class breakpoints, then be called III class minimum break point set.
Wherein, a class breakpoint refers to all can not cause after breakpoint place circuit withdraws from the breakpoint of electrical network division; Two class breakpoints refer to exist after breakpoint place circuit withdraws from electrical network division and electrical network division only can cause generator or the isolated breakpoint of load; The breakpoint that three class breakpoints refer to there is the electrical network division after breakpoint place circuit withdraws from and have grid disconnection at least.
Further, the fragile structure of described I class minimum break point set is lower than the fragile structure of II class minimum break point set, and the fragile structure of described II class minimum break point set is lower than the fragile structure of III class minimum break point set.
Further, in step S2, when the classification of premium class is the I time-like, concentrate in the minimum break point of premium class and obtain the minimum break point set that x organizes a class breakpoint fragile structure index sum minimum, concentrate from x group minimum break point and select one group at random as optimum breakpoint collection; X is the positive integer less than f.
Further, in step S2, when the classification of premium class is the II time-like, concentrate in the minimum break point of premium class and to obtain the minimum break point set that x organizes two class breakpoint fragile structure index sum minimums, concentrate from x group minimum break point to get access to the minimum break point set that y organizes a class breakpoint fragile structure index sum minimum, concentrate from y group minimum break point and select one group at random as optimum breakpoint collection; Y<x<f, y, x are positive integer.
Further, in step S2, when the classification of premium class is the III time-like, concentrate in the minimum break point of premium class and to obtain the minimum break point set that x organizes three class breakpoint fragile structure index sum minimums, concentrate from x group minimum break point and to obtain the minimum break point set that y organizes two class breakpoint fragile structure index sum minimums, concentrate from y group minimum break point and to obtain the minimum break point set that z organizes a class breakpoint fragile structure index sum minimum, concentrate from z group minimum break point and select one group at random as optimum breakpoint collection; Z<y<x<f, z, y, x are positive integer.
The present invention has set up the structural fragility model of MBPS according to the consequence of breakpoint place back-up protection malfunction on the basis that utilizes said structure fragility index, can effectively assess and obtain the minimum MBPS of potential safety hazard; Can effectively ask for optimum breakpoint collection, reduce the potential safety hazard that MBPS exists.
Description of drawings
Fig. 1 is the realization flow figure of the minimum break point set vulnerability analysis method of estimating based on multicentricity that provides of the embodiment of the invention;
Fig. 2 is the IEEE39 node system structural representation that the embodiment of the invention provides;
Fig. 3 is the fragile structure assessment result synoptic diagram of the three class minimum break point set that provide of the embodiment of the invention.
Embodiment
In order to make purpose of the present invention, technical scheme and advantage clearer, below in conjunction with drawings and Examples, the present invention is further elaborated.Should be appreciated that specific embodiment described herein only in order to explaining the present invention, and be not used in restriction the present invention.
The present invention proposes a kind of MBPS vulnerability analysis method of estimating based on multicentricity.The fragile structure index of this method utilizes superposition principle that multiple centrality is estimated fusion, has effectively assessed the fragility of breakpoint from the angle of trend metastasis degree.And the MBPS fragile structure assessment models of foundation has been considered the malfunction consequence of breakpoint place back-up protection after the line fault.Utilize this model evaluation MBPS can avoid because asking for the major safety risks that MBPS brings to electrical network at random.
Jie counts centrality (betweenness centrality), weighs the actor to the control degree of resource information.For any limit e, its computing formula is
Figure GDA00003002892700051
In the formula, σ StBe the number of shortest path between node s and the node t, σ St(e) be in the shortest path between node s and the node t through limit e number, n is the node number of the whole network.
Near centrality (closeness centrality), weigh the degree that the actor is not controlled by other people.For arbitrary node v, its computing formula is In the formula, d G(v t) is distance between node v and the node t, and n is the node number of the whole network.
The line construction fragility index that the present invention proposes can be utilized Jie to count that centrality is estimated and estimate both product representations near centrality.Before calculating is estimated near centrality, need the distance between definition circuit and the circuit.In the fragile structure assessment, the distance between two circuits may be defined as utilizes unit current source to replace wherein circuit, the inverse of the current-responsive that produces at another circuit.If circuit l KmBe circuit to be assessed, then any circuit l IjWith l KmDistance
Figure GDA00003002892700053
In the formula, i, j, k, m represent the node in the electrical network, z IjExpression circuit l IjPractical impedance, Z' represents circuit l KmWithdraw from the nodal impedance matrix of back electrical network.Element for ease of grid nodes impedance matrix before utilizing circuit to withdraw from calculates, and the nodal impedance matrix element that appends chord is revised formula
Figure GDA00003002892700054
The substitution formula
Figure GDA00003002892700055
The middle distance that obtains between two circuits γ ij = ( z km - Z kk - Z mm + 2 Z km z km ) / ( Z ki - Z kj - Z mi + Z mj z ij ) ; In the formula, z KmExpression circuit l KmPractical impedance, Z represents circuit l KmThe nodal impedance matrix of electrical network before withdrawing from.
Utilization characterizing apart from sum of all the other circuits except circuit to be assessed estimated near centrality, and its computing formula is
Figure GDA00003002892700062
When power system operating mode changed, the circuit that has only trend to strengthen just may transship.So in the formula (3)
Figure GDA00003002892700063
Expression circuit l KmWithdraw from the line set that the back trend strengthens.Note circuit l KmBefore withdrawing from, the electric current on each circuit is respectively Any circuit l KmThe criterion that last trend is strengthened
Figure GDA00003002892700065
Especially, when trend is oppositely strengthened, need redefine range formula
Figure GDA00003002892700066
Count centrality for Jie and estimate, can utilize the electric network swim under the current method of operation to characterize CB=|P Km|; P KmExpression circuit l KmOn active power.
To sum up can get circuit l KmThe fragile structure index β l km = CB × CC = | P km | × ( Σ l ij ∈ Φ 1 / | γ ij | + Σ l ij ∈ Φ s 1 / | γ ij s | ) ; In the formula, Φ represents the line set that the trend forward is strengthened, Φ sBe the reverse line set of strengthening of trend.
The fragile structure of assessment breakpoint should be under the situation about having disconnected at breakpoint next stage circuit, the fragile structure of assessment breakpoint place circuit.
When if the back-up protection of breakpoint and many circuits of its next stage is not all satisfied selectivity of relay protection, then calculate every circuit respectively and withdraw from breakpoint fragile structure index under the situation separately, again by following situation processing.(1) under each situation, after withdrawing from, breakpoint place circuit all can not cause the electrical network division.Get the maximal value of fragile structure index as the fragile structure value of breakpoint, note this type breakpoint is a class breakpoint; (2) exist the situation of electrical network division and electrical network division only can cause generator or load to isolate.Get the maximal value of generator or load loss as the fragile structure value of breakpoint, note this type breakpoint is two class breakpoints; (3) there is the situation of electrical network division and to have a kind of situation at least be grid disconnection.Get ε as the fragile structure value of breakpoint, note this type breakpoint is three class breakpoints.
Wherein, grid disconnection refers to that an electric system is split into process or the operation of two or more isolated operation system.The electrical network division refers to only represent that from the angle of network topology structure the electrical network of a connection is split into the process of two or more connection electrical networks.
In embodiments of the present invention, the fragile structure index of note breakpoint is
Figure GDA000030028927000710
When assessing the fragile structure of MBPS, at first the breakpoint among the MBPS is classified, calculate the fragile structure index sum of all kinds of breakpoints more respectively, be designated as BPSVul 1, BPSVul 2, BPSVul 3,
Figure GDA00003002892700071
BPSVul 2 = Σ BP i ∈ Ω 2 β BP i ; BPSVul 3 = Σ BP i ∈ Ω 3 β BP i In the formula, BP iRepresent any breakpoint; Ω 1, Ω 2, Ω 3Be respectively the set of I among the MBPS, II, III class breakpoint.
If the breakpoint that MBPS comprises set is Ω.If Ω 1=Ω is called I class minimum break point set; If Ω 1U Ω 2=Ω and Then be called II class minimum break point set; If
Figure GDA00003002892700075
Then be called III class minimum break point set.This three class MBPS fragile structure is from low to high: I, II, III.
The present invention has set up the structural fragility model of MBPS according to the consequence of breakpoint place back-up protection malfunction on the basis that utilizes said structure fragility index, can effectively assess and obtain the minimum MBPS of potential safety hazard.
As shown in Figure 1, the minimum break point set vulnerability analysis method of estimating based on multicentricity that provides of the embodiment of the invention specifically comprises the steps:
S1: calculate the fragile structure index of every group of minimum break point set successively, and f group minimum break point set is classified the minimum class of back choice structure fragility as premium class; F is positive integer;
S2: obtain optimum breakpoint collection by the classification of judging described premium class.
In step S1, the fragile structure index is counted centrality and is estimated CB and obtain described fragile structure index according to estimate CC and Jie near centrality
Figure GDA00003002892700076
Estimate near centrality
Figure GDA00003002892700077
Wherein, l IjBe circuit, i, j represent the node in the electrical network, and Φ represents the line set that the trend forward is strengthened, Φ sBe the reverse line set of strengthening of trend; γ ij = ( z km - Z kk - Z mm + 2 Z km z km ) / ( Z ki - Z kj - Z mi + Z mj z ij ) , γ ij s = I km 0 / ( 2 I ij 0 + I km 0 / γ ij ) , z KmExpression circuit l KmPractical impedance, z IjExpression circuit l IjPractical impedance, Z represents circuit l KmThe nodal impedance matrix of electrical network before withdrawing from; I, j, k, m represent the node in the electrical network, Z Mm, Z Kk, Z Km, Z Ki, Z Kj, Z Mi, Z MjBe the element of matrix Z, circuit l KmCircuit l before withdrawing from IjWith circuit l KmElectric current is respectively
Figure GDA00003002892700081
Figure GDA00003002892700082
Jie counts centrality and estimates CB=|P Km|, P KmExpression circuit l KmOn active power.
In embodiments of the present invention, can classify to minimum break point set according to the classification of breakpoint; Be specially: if minimum break point set only comprises a class breakpoint, then be called I class minimum break point set; If minimum break point set comprises two class breakpoints and do not comprise three class breakpoints, then be called II class minimum break point set; If minimum break point set comprises three class breakpoints, then be called III class minimum break point set.Wherein, a class breakpoint refers to all can not cause after breakpoint place circuit withdraws from the breakpoint of electrical network division; Two class breakpoints refer to exist after breakpoint place circuit withdraws from electrical network division and electrical network division only can cause generator or the isolated breakpoint of load; The breakpoint that three class breakpoints refer to there is the electrical network division after breakpoint place circuit withdraws from and have grid disconnection at least.Wherein, I class minimum break point set fragile structure is lower than II class minimum break point set fragile structure, and described II class minimum break point set fragile structure is lower than III class minimum break point set fragile structure.
In embodiments of the present invention, when the classification of premium class is the I time-like, concentrate in the minimum break point of premium class and obtain the minimum break point set that x organizes a class breakpoint fragile structure index sum minimum, concentrate from x group minimum break point and select one group at random as optimum breakpoint collection; X is the positive integer less than f.When the classification of premium class is the II time-like, concentrate in the minimum break point of premium class and to obtain the minimum break point set that x organizes two class breakpoint fragile structure index sum minimums, concentrate from x group minimum break point to get access to the minimum break point set that y organizes a class breakpoint fragile structure index sum minimum, concentrate from y group minimum break point and select one group at random as optimum breakpoint collection; Y<x<f, y, x are positive integer.When the classification of premium class is the III time-like, concentrate in the minimum break point of premium class and to obtain the minimum break point set that x organizes three class breakpoint fragile structure index sum minimums, concentrate from x group minimum break point and to obtain the minimum break point set that y organizes two class breakpoint fragile structure index sum minimums, concentrate from y group minimum break point and to obtain the minimum break point set that z organizes a class breakpoint fragile structure index sum minimum, concentrate from z group minimum break point and select one group at random as optimum breakpoint collection; Z<y<x<f, z, y, x are positive integer.
For the method that illustrates that further the embodiment of the invention provides, existing details are as follows with instantiation and in conjunction with Fig. 2 and Fig. 3:
Be example with IEEE39 node system shown in Figure 2, adopt the minimum break point set vulnerability analysis method of estimating based on multicentricity to ask for optimum breakpoint collection.
The IEEE39 node system is the electric system standard analogue system of IEEE-USA (IEEE) definition, its comprise 10 generator G1, G2 ... G10; 12 transformers (identifying with W among the figure), 34 circuits and 39 bus<1 〉,<2 ...<39 〉.
For reducing calculated amount, electrical network is divided into several subnets cutting the node place, below mainly analyze the node set Subset that one of them subnet comprises 1The assessment result of middle MBPS, wherein Subset 1={ 1,2,3,4,5,6,7,8,9,10,11,13,14,15,16,17,18,25,26,27,39} is at Subset 1In calculate 90 groups of MBPS, judge the classification of breakpoint earlier, according to the definition of minimum break point set classification these 90 groups of MBPS being classified then can get 5 groups of I class minimum break point set, 45 groups of II class minimum break point set, 40 groups of III class minimum break point set.For every class breakpoint collection, respectively each is organized the BPSVul of MBPS 1Conversion is to the interval of [0-1], BPSVul 2Conversion is to the interval of [1-2], BPSVul 3Unification gets 2.Again the conversion result is arranged by ascending order, as shown in Figure 3.
Utilize a kind of electrical network division method of discrimination based on the branch road additional method, its need not to carry out web search and calculated amount very little.The ultimate principle of this method is: if electrical network is decomposed into two independently networks after disconnecting certain branch road, then internodal transimpedance is 0 in these two networks.The criterion of electrical network division is
Figure GDA00003002892700091
As shown in Figure 3, from the concentrated BPSVul that chooses of I class minimum break point 1Minimum MBPS is as subnet Subset 1Minimum break point set, i.e. { 8,20,29,36,38,50}.This minimum break point set does not exist generator to isolate or load is isolated and the potential safety hazard of grid disconnection, and the degree of depth and the range of trend transfer is all less behind the circuit overstep tripping at its interior breakpoint place arbitrarily.At last, ask for the union of the optimum breakpoint collection of each subnet, namely obtain optimum breakpoint collection { 8,20,29,36,38,50,61,64,57, the 60} of the whole network.
Comprehensively can get, the fragile structure of different MBPS differ greatly and I class MBPS proportion very little.Utilize said method can effectively ask for optimum breakpoint collection, reduced the potential safety hazard that MBPS exists.
Those skilled in the art will readily understand; the above only is preferred embodiment of the present invention; not in order to limiting the present invention, all any modifications of doing within the spirit and principles in the present invention, be equal to and replace and improvement etc., all should be included within protection scope of the present invention.

Claims (10)

1. a minimum break point set vulnerability analysis method of estimating based on multicentricity is characterized in that, comprises the steps:
S1: calculate the fragile structure index of every group of minimum break point set successively, and f group minimum break point set is classified the minimum class of back choice structure fragility as premium class; F is positive integer;
S2: obtain optimum breakpoint collection by the classification of judging described premium class.
2. the method for claim 1 is characterized in that, in step S1, described fragile structure index is counted centrality and estimated CB and obtain described fragile structure index according to estimate CC and Jie near centrality β l km = CB × CC .
3. method as claimed in claim 2 is characterized in that, describedly estimates near centrality
Figure FDA00003002892600011
Wherein, l IjBe circuit, i, j represent the node in the electrical network, and Φ represents the line set that the trend forward is strengthened, Φ sBe the reverse line set of strengthening of trend;
γ ij = ( z km - Z kk - Z mm + 2 Z km z km ) / ( Z ki - Z kj - Z mi + Z mj z ij ) , γ ij s = I km 0 / ( 2 I ij 0 + I km 0 / γ ij ) , z KmExpression circuit l KmPractical impedance, z IjExpression circuit l IjPractical impedance, Z represents circuit l KmThe nodal impedance matrix of electrical network before withdrawing from; I, j, k, m represent the node in the electrical network, Z Mm, Z Kk, Z Km, Z Ki, Z Kj, Z Mi, Z MjBe the element of matrix Z, circuit l KmCircuit l before withdrawing from IjWith circuit l KmElectric current is respectively ,
Figure FDA00003002892600016
4. as claim 2 or 3 described methods, it is characterized in that several centrality of giving an account of are estimated CB=|P Km|, P KmExpression circuit l KmOn active power.
5. the method for claim 1 is characterized in that, in step S1, according to the classification of breakpoint minimum break point set is classified.
6. method as claimed in claim 5 is characterized in that, the step of minimum break point set being classified according to the classification of breakpoint is specially:
If minimum break point set only comprises a class breakpoint, then be called I class minimum break point set;
If minimum break point set comprises two class breakpoints and do not comprise three class breakpoints, then be called II class minimum break point set;
If minimum break point set comprises three class breakpoints, then be called III class minimum break point set.
Wherein, a class breakpoint refers to all can not cause after breakpoint place circuit withdraws from the breakpoint of electrical network division; Two class breakpoints refer to exist after breakpoint place circuit withdraws from electrical network division and electrical network division only can cause generator or the isolated breakpoint of load; The breakpoint that three class breakpoints refer to there is the electrical network division after breakpoint place circuit withdraws from and have grid disconnection at least.
7. method as claimed in claim 6 is characterized in that, the fragile structure of described I class minimum break point set is lower than the fragile structure of II class minimum break point set, and the fragile structure of described II class minimum break point set is lower than the fragile structure of III class minimum break point set.
8. method as claimed in claim 6, it is characterized in that, in step S2, when the classification of premium class is the I time-like, concentrate in the minimum break point of premium class and to obtain the minimum break point set that x organizes a class breakpoint fragile structure index sum minimum, concentrate from x group minimum break point and select one group at random as optimum breakpoint collection; X is the positive integer less than f.
9. method as claimed in claim 6, it is characterized in that, in step S2, when the classification of premium class is the II time-like, concentrate in the minimum break point of premium class and to obtain the minimum break point set that x organizes two class breakpoint fragile structure index sum minimums, concentrate from x group minimum break point to get access to the minimum break point set that y organizes a class breakpoint fragile structure index sum minimum, concentrate from y group minimum break point and select one group at random as optimum breakpoint collection; Y<x<f, y, x are positive integer.
10. method as claimed in claim 6, it is characterized in that, in step S2, when the classification of premium class is the III time-like, concentrate in the minimum break point of premium class and to obtain the minimum break point set that x organizes three class breakpoint fragile structure index sum minimums, concentrate from x group minimum break point and to obtain the minimum break point set that y organizes two class breakpoint fragile structure index sum minimums, concentrate from y group minimum break point and to obtain the minimum break point set that z organizes a class breakpoint fragile structure index sum minimum, concentrate from z group minimum break point and select one group at random as optimum breakpoint collection; Z<y<x<f, z, y, x are positive integer.
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CN106529791A (en) * 2016-10-27 2017-03-22 云南电网有限责任公司 Evaluation method for evaluating branch importance of power system
CN107271851A (en) * 2017-07-03 2017-10-20 西南交通大学 A kind of wide area backup protection method based on differential active power
CN107271851B (en) * 2017-07-03 2019-02-26 西南交通大学 A kind of wide area backup protection method based on differential active power
CN110096764A (en) * 2019-04-12 2019-08-06 浙江大学 A kind of identification of electric-gas coupled system vulnerable line and optimization method
CN110096764B (en) * 2019-04-12 2020-10-20 浙江大学 Method for identifying and optimizing fragile line of electric-gas coupling system

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