CN109190164A - Severity multi objective appraisal procedure temporarily drops in node voltage - Google Patents
Severity multi objective appraisal procedure temporarily drops in node voltage Download PDFInfo
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Abstract
The invention discloses a kind of node voltages temporarily to drop severity multi objective appraisal procedure, it chooses multiple evaluation indexes and establishes evaluation index set, the defect only considered in supply side or electricity consumption side in a certain respect in traditional evaluation method is overcome, combining both keeps assessment result more comprehensive；Meanwhile new weight is assigned for index using the combination weights method based on analytic hierarchy process (AHP) and CRITIC method, it had not only fully considered the deep layer internal association between each evaluation index, but also their relative importance can be reacted, and had kept assessment result more reasonable.By simulation results show the appraisal procedure can actual conditions in more actual response power distribution network, can accurately and effectively identify the weak node and weak section in network, lay the foundation for voltage dip improvement.
Description
Technical field
The present invention relates to the flat evaluation areas of the temporary precipitation of power system voltage more particularly to a kind of node voltage temporarily to drop serious journey
Spend multi objective appraisal procedure.
Background technique
As the increase of sensitive load in electric system and its continuous improvement required power quality, voltage dip cause
Economic loss also increase sharply, it has also become distinct issues the most in power quality.Therefore, tight to the voltage dip of power distribution network
Weight degree carry out assessment be it is very necessary, it can for electric network reconstruction, device fabrication, reasonably select load access point and voltage
Temporarily drop, which is administered, provides foundation.Assess the most common method of voltage dip severity first is that Monte Carlo method.
Monte Carlo Method, also known as random sampling skill or Monte Carlo method, the basic thought of this method: initially set up one
A probabilistic model or random process make its parameter be equal to the solution of problem, and the system of required parameter is then calculated by sampling experiment
Feature is counted, finally provides solved approximation, and provide the precision or error of solution.
Voltage dip assessment based on Monte Carlo method pays close attention to voltage dip amplitude mostly, the duration, temporarily drops energy, frequency
The calculated result of inferior supply side index also has document ad hoc analysis electricity consumption side sensitive equipment to the susceptibility of voltage dip, but
The two is effectively combined at present, temporarily drops the research of severity and few from for electricity consumption side assessment power distribution network node voltage.
Summary of the invention
The object of the present invention is to provide a kind of node voltages temporarily to drop severity multi objective appraisal procedure, so that assessment result
More comprehensively；In addition, this method had not only fully considered the deep layer internal association between each evaluation index, but also can react
Their relative importance keeps assessment result more reasonable.
The purpose of the present invention is what is be achieved through the following technical solutions:
Severity multi objective appraisal procedure temporarily drops in a kind of node voltage, comprising:
Based on matlab software, Stochastic prediction is carried out using Monte Carlo method, each node voltage temporary decline is calculated, continues
Time, the frequency and sensitive equipment failure rate constitute evaluation index set；
The combination weights method based on analytic hierarchy process (AHP) and CRITIC method is used to assign again for the evaluation index set of each node
Give weight；
It is flat to calculate the temporary precipitation of each node voltage by assigning the evaluation index set of each node after weight again
Point, and the preceding S node of highest scoring is selected as voltage dip severity highest point；
The voltage dip sag exposed areas of this S node is sought, sag exposed areas intersection part is the weak section of whole network.
As seen from the above technical solution provided by the invention, firstly, choosing multiple evaluation indexes establishes evaluation index
Set overcomes the defect only considered in supply side or electricity consumption side in a certain respect in traditional evaluation method, combines both
Keep assessment result more comprehensive；Secondly, the use of the combination weights method based on analytic hierarchy process (AHP) (AHP) and CRITIC method being index tax
New weight had not only fully considered the deep layer internal association between each evaluation index, but also can react the relatively heavy of them
Degree is wanted, keeps assessment result more reasonable.By simulation results show the appraisal procedure can reality in more actual response power distribution network
Border situation can accurately and effectively identify weak node and weak section in network, lay the foundation for voltage dip improvement.
Detailed description of the invention
In order to illustrate the technical solution of the embodiments of the present invention more clearly, required use in being described below to embodiment
Attached drawing be briefly described, it should be apparent that, drawings in the following description are only some embodiments of the invention, for this
For the those of ordinary skill in field, without creative efforts, it can also be obtained according to these attached drawings other
Attached drawing.
Fig. 1 is the process that severity multi objective appraisal procedure temporarily drops in a kind of node voltage provided in an embodiment of the present invention
Figure.
Fig. 2 is the schematic diagram of the uncertain region of sensitive equipment VTC provided in an embodiment of the present invention.
Specific embodiment
With reference to the attached drawing in the embodiment of the present invention, technical solution in the embodiment of the present invention carries out clear, complete
Ground description, it is clear that described embodiments are only a part of the embodiments of the present invention, instead of all the embodiments.Based on this
The embodiment of invention, every other implementation obtained by those of ordinary skill in the art without making creative efforts
Example, belongs to protection scope of the present invention.
Fig. 1 is the process that severity multi objective appraisal procedure temporarily drops in a kind of node voltage provided in an embodiment of the present invention
Figure, as shown in Figure 1, it is specifically included that
1, it is based on matlab software, Stochastic prediction is carried out using Monte Carlo method, each node voltage temporary decline is calculated, holds
Continuous time, the frequency and sensitive equipment failure rate, constitute evaluation index set.
In the embodiment of the present invention, it is based on matlab software, each failure variable is carried out certain time using Monte Carlo method
Several Stochastic predictions.Illustratively, Monte Carlo method simulated program can be write in matlab, and each failure variable is carried out
3000 sampling.
In the embodiment of the present invention, failure variable specifically include that fault type, faulty line, abort situation, fault impedance with
And trouble duration.
A, fault type.
Fault type includes following four fault type: three-phase shortcircuit, single-phase short circuit, line to line fault and line to line fault connect
Ground indicates with 1,2,3,4 respectively, fault type FTIt indicates are as follows:
In formula, P3L、PLWith P2LThe respectively probability that occurs of three-phase shortcircuit, single-phase short circuit and line to line fault, illustratively, on
0.06,0.65,0.19 and 0.2 can be taken respectively by stating four probability；Random number x1[0,1] is obeyed to be uniformly distributed.
B, faulty line.
The case where analog line short trouble, if line fault probability is directly proportional to line impedance virtual value, if ZLkFor kth
The impedance virtual value of route, m are bus number, then in system kth route probability of malfunction are as follows:
The line number then to break down may be expressed as:
In formula, random number x2[0,1] is obeyed to be uniformly distributed；P1、P2、Pm-1Respectively indicate the 1st, 2 ... m-1 articles of line faults
Rate.
C, abort situation.
Assuming that the probability that each point breaks down on route is identical, then the distance of fault point to route head end accounts for line length
Percentage p obeys [0,1] and is uniformly distributed.
D, fault impedance.
Fault impedance ZfObedience desired value is μf, standard deviation σfNormal distribution, illustratively, settable μf=5 Ω, σf
=1 Ω.
E, trouble duration.
Assuming that trouble duration x obeys exponential distribution, distribution function are as follows:
In formula, λ is the constant (illustrative, settable λ=1) of setting；Then trouble duration are as follows:
In formula, random number x5[0,1] is obeyed to be uniformly distributed.
Later, can according to obtained failure variate-value, carry out short circuit calculation, obtain each node voltage dip amplitude,
Duration, the frequency and sensitive equipment failure rate.
Wherein, the calculation of the sensitive equipment failure rate includes:
The uncertain region of sensitive equipment VTC (voltage-vs-time tolerance curve) is rendered as a L-type region, sees negative in Fig. 2
Shadow part.UminAnd UmaxThe respectively minimum value and maximum value of sensitive equipment VTC voltage magnitude, TminAnd TmaxRespectively sensitivity is set
The minimum value and maximum value of standby VTC duration.
The uncertain region sensitive equipment VTC is divided into tri- regions A, B, C；Wherein, TminAnd TmaxThe rectangle region constituted
Domain B ', with UminAnd UmaxThe overlapping region of the rectangular area C ' constituted is region A；Region A is removed in region B ', region C '
Part be region B, region C.
The voltage magnitude that the duration of VTC is denoted as T, VTC in any region in these three regions is denoted as U, accordingly
Probability density function is denoted as f respectivelyx(T)、fy(U), then joint probability density function are as follows:
fx,y(T, U)=fx(T)*fy(U)。
In formula, Umin< U < Umax, Tmin< T < Tmax。
The normal probability model of sensitive equipment voltage-vs-time tolerance curve can be described with normal distribution:
In formula, T, U are respectively the duration of sensitive equipment VTC, voltage magnitude；fx(T)、fyIt (U) is respectively the general of T, U
Rate density；
Pass through fx(T) and fy(U) joint probability density f is calculatedx,y(T, U): fx,y(T, U)=fx(T)*fy(U), then cooperate
Following formula obtains sensitive equipment probability of malfunction:
2, use the combination weights method based on analytic hierarchy process (AHP) (AHP) and CRITIC method for the evaluation index set of each node
Again weight is assigned.
This step better embodiment is as follows:
First calculate the basic weight of each evaluation index based on analytic hierarchy process (AHP), then by comparison basis weighted value two-by-two come
Determine the element in judgment matrix.The coefficient of variation refers to the dispersion degree of one group of achievement data and the ratio of its average value, that is, marks
The ratio between quasi- difference and average value, are denoted as CV.
Wherein, σjIt is the standard deviation of j-th of index, μjIt is the average value of j-th of index.
If the basic weight vectors of the Evaluation of vulnerability index set containing N number of index are as follows:
W1={ w11,w12…w1N}；
In the embodiment of the present invention, evaluation index set mainly includes that voltage dip amplitude, duration, the frequency and sensitivity are set
Standby failure rate namely N=4.
The then basic weight w of j-th of index1jAre as follows:
The basic weighted value of each index is compared two-by-two, calculates judgment matrix A are as follows:
Wherein,It is the basic weight w of t-th of index1tWith the basis of s-th of index
Weight w1sRatio, indicate judgment matrix A in element atsValue.
In order to avoid needing to carry out consistency check to judgment matrix A due to expert's subjectivity opinion bring error as far as possible,
The calculation formula of coincident indicator CI are as follows:
In formula, λmaxFor the Maximum characteristic root value of matrix A.
As CI < 0.1, which can receive；It is on the contrary then need to be modified judgment matrix A, until meeting
Until condition.
Each index subjectivity weight W is normalized using by the judgment matrix A after consistency check2={ w21,w22…w2N,
The wherein subjective weight w of j-th of index2j, indicate are as follows:
In formula, aijFor the basic weight w of i-th of index1iWith the basic weight w of j-th of index1jRatio.CRITIC method
The process of parameter objective weight is as follows:
Correlation coefficient ρ between two indices X and YXYCalculation formula are as follows:
The calculation formula of standard deviation sigma in same index are as follows:
In formula, n is number of nodes, and for each node, each index only one value, therefore, n is also equal to together
The evaluation quantity of one index；Xk、YkThe value of index X, index Y in respectively k-th of node；Respectively all n
The average value of index X, index Y in node.
The information content E that j-th of index is includedjAre as follows:
In formula,For the conflicting quantized result of j-th index and other indexs；ρijFor i-th of index and j
Related coefficient between index；σjFor the standard deviation of j-th of index；
It will be understood by those skilled in the art that X and Y are the code names for indicating index, i and j are the serial numbers for indicating index, because
This, calculates a series of ρXYAfterwards, ρ is assured that according to the serial number of corresponding indexij。
The objective weight w of j-th of index3jAre as follows:
Enable the comprehensive weight vector w of j-th of index4jAre as follows:
w4j=α w2j+βw3j；
Wherein, factor alpha and β meet:
α >=0, β >=0, alpha+beta=1.
In the embodiment of the present invention, factor alpha and β can be determined using coefficient of variation method comprising:
By subjective weight vectors W2In each component { w21,w22…w2NAscending order arranges to obtain { p1,p2,...,pN, it is poor to calculate
Different coefficient:
And then it obtains:
β=1- α
It will be understood by those skilled in the art that { p1,p2,...,pNIt is { w21,w22…w2NArrange from small to large as a result,
p1Corresponding to { w21,w22…w2NIn the smallest element, for example, p1Likely correspond to w23。
3, flat to calculate the temporary precipitation of each node voltage by assigning the evaluation index set of each node after weight again
Point, and the preceding S node of highest scoring is selected as voltage dip severity highest point.
In the embodiment of the present invention, each index after nondimensionalization is multiplied to the corresponding comprehensive weight assigned again, and pass through
Adduction obtains the horizontal score of voltage dip of each node, then the horizontal score of voltage dip is arranged from high to low, selects score
Highest first S is used as voltage dip most serious node；S=5 illustratively can be set.
4, the voltage dip sag exposed areas of this S node is sought, sag exposed areas intersection part is the weak section of whole network.
Above scheme of the embodiment of the present invention establishes evaluation index set by choosing multiple evaluation indexes, overcomes tradition
The defect in supply side or electricity consumption side in a certain respect is only considered in evaluation method, combining both keeps assessment result more complete
Face；Meanwhile new weight is assigned for index using the combination weights method based on analytic hierarchy process (AHP) and CRITIC method, it had both fully considered each
Deep layer internal association between a evaluation index, while their relative importance can be reacted again, make assessment result more
Rationally.By simulation results show the appraisal procedure can actual conditions in more actual response power distribution network, can be accurately and effectively
It identifies the weak node and weak section in network, lays the foundation for voltage dip improvement.
Through the above description of the embodiments, those skilled in the art can be understood that above-described embodiment can
The mode of necessary general hardware platform can also be added to realize by software by software realization.Based on this understanding,
The technical solution of above-described embodiment can be embodied in the form of software products, which can store non-easy at one
In the property lost storage medium (can be CD-ROM, USB flash disk, mobile hard disk etc.), including some instructions are with so that a computer is set
Standby (can be personal computer, server or the network equipment etc.) executes method described in each embodiment of the present invention.
The foregoing is only a preferred embodiment of the present invention, but scope of protection of the present invention is not limited thereto,
Within the technical scope of the present disclosure, any changes or substitutions that can be easily thought of by anyone skilled in the art,
It should be covered by the protection scope of the present invention.Therefore, protection scope of the present invention should be with the protection model of claims
Subject to enclosing.
Claims (7)
1. severity multi objective appraisal procedure temporarily drops in a kind of node voltage characterized by comprising
Based on matlab software, Stochastic prediction is carried out using Monte Carlo method, when calculating each node voltage temporary decline, continuing
Between, the frequency and sensitive equipment failure rate, constitute evaluation index set；
The combination weights method based on analytic hierarchy process (AHP) and CRITIC method is used to assign power again for the evaluation index set of each node
Weight；
By assigning the evaluation index set of each node after weight again, to calculate the flat score of the temporary precipitation of each node voltage, and
The preceding S node of highest scoring is selected as voltage dip severity highest point；
The voltage dip sag exposed areas of this S node is sought, sag exposed areas intersection part is the weak section of whole network.
2. severity multi objective appraisal procedure temporarily drops in a kind of node voltage according to claim 1, which is characterized in that base
In matlab software, Stochastic prediction is carried out using Monte Carlo method, calculates each node voltage temporary decline, duration, the frequency
With sensitive equipment failure rate, constituting evaluation index set includes:
Based on matlab software, the Stochastic prediction of certain number is carried out to each failure variable using Monte Carlo method, according to
The failure variate-value arrived carries out short circuit calculation, obtains voltage dip amplitude, duration, the frequency and the sensitive equipment of each node
Failure rate.
3. severity multi objective appraisal procedure temporarily drops in a kind of node voltage according to claim 2, which is characterized in that therefore
Hindering variable includes: fault type, faulty line, abort situation, fault impedance and trouble duration；Wherein:
Fault type includes following four fault type: three-phase shortcircuit, single-phase short circuit, line to line fault and line to line fault are grounded, point
It is not indicated with 1,2,3,4, fault type FTIt indicates are as follows:
In formula, P3L、PLWith P2LThe respectively probability that occurs of three-phase shortcircuit, single-phase short circuit and line to line fault, random number x1Obey [0,
1] it is uniformly distributed；
Faulty line: it is directly proportional to line impedance virtual value to set line fault probability, if ZLkImpedance for kth route is effective
Value, m be bus number, then in system kth route probability of malfunction are as follows:
The line number then to break down may be expressed as:
In formula, random number x2[0,1] is obeyed to be uniformly distributed；P1、P2、Pm-1Respectively indicate the 1st, 2 ... m-1 articles of line failure rates；
Abort situation: assuming that the probability that each point breaks down on route is identical, then the distance of fault point to route head end the line is busy road
The percentage p of length obeys [0,1] and is uniformly distributed；
Fault impedance: fault impedance ZfObedience desired value is μf, standard deviation σfNormal distribution；
Trouble duration: assuming that trouble duration x obeys exponential distribution, distribution function are as follows:
In formula, λ is the constant of setting；Then trouble duration are as follows:
In formula, random number x5[0,1] is obeyed to be uniformly distributed.
4. severity multi objective appraisal procedure, feature temporarily drop in a kind of node voltage according to claim 1 or 2 or 3
It is, the calculation of the sensitive equipment failure rate includes:
The normal probability model of sensitive equipment VTC is as follows:
In formula, T, U are respectively the duration of sensitive equipment VTC, voltage magnitude；fx(T)、fy(U) be respectively T, U probability it is close
Degree；
Pass through fx(T) and fy(U) joint probability density f is calculatedx,y(T, U): fx,y(T, U)=fx(T)*fy(U), then following formula is cooperated to obtain
To sensitive equipment probability of malfunction:
In formula, UminAnd UmaxThe respectively minimum value and maximum value of sensitive equipment VTC voltage magnitude, TminAnd TmaxIt is respectively sensitive
The minimum value and maximum value of equipment VTC duration.
5. severity multi objective appraisal procedure temporarily drops in a kind of node voltage according to claim 1, which is characterized in that institute
It states and the combination weights method based on analytic hierarchy process (AHP) and CRITIC method is used to assign weight again for the evaluation index set of each node
Mode include:
The basic weight of each evaluation index is first calculated based on analytic hierarchy process (AHP): the dispersion degree for first calculating an index is flat with it
The ratio of mean value, i.e. the ratio between standard deviation and average value:
Wherein, σjIt is the standard deviation of j-th of index, μjIt is the average value of j-th of index；
If the basic weight vectors of the Evaluation of vulnerability index set containing N number of index are as follows:
W1={ w11,w12…w1N}；
The then basic weight w of j-th of index1jAre as follows:
The basic weighted value of each index is compared two-by-two, calculates judgment matrix A are as follows:
Wherein,It is the basic weight w of t-th of index1tWith the basic weight of s-th of index
w1sRatio, indicate judgment matrix A in element atsValue；
Consistency check, the calculation formula of coincident indicator CI are carried out to judgment matrix A are as follows:
If CI is less than preset value, by consistency check, otherwise, need to being modified to judgment matrix A, Zhi Daoman
Until sufficient condition；
Each index subjectivity weight W is normalized using by the judgment matrix A after consistency check2={ w21,w22…w2N, wherein the
The subjective weight w of j index2j, indicate are as follows:
In formula, aijFor the basic weight w of i-th of index1iWith the basic weight w of j-th of index1jRatio；
The process of CRITIC method parameter objective weight is as follows:
Correlation coefficient ρ between two indices X and YXYCalculation formula are as follows:
The calculation formula of standard deviation sigma in same index are as follows:
In formula, n is number of nodes；Xk、YkThe value of index X, index Y in respectively k-th of node；It is respectively all
The average value of index X, index Y in n node；
The information content E that j-th of index is includedjAre as follows:
In formula,For the conflicting quantized result of j-th index and other indexs；ρijFor i-th of index and j index
Between related coefficient；σjFor the standard deviation of j-th of index；
The objective weight w of j-th of index3jAre as follows:
Enable the comprehensive weight vector w of j-th of index4jAre as follows:
w4j=α w3j+βw4j；
Wherein, factor alpha and β meet:
α >=0, β >=0, alpha+beta=1.
6. severity multi objective appraisal procedure temporarily drops in a kind of node voltage according to claim 5, which is characterized in that should
Method further includes determining factor alpha and β using coefficient of variation method comprising:
By subjective weight vectors W2In each component { w21,w22…w2NAscending order arranges to obtain { p1,p2,...,pN, calculate difference system
Number:
And then it obtains:
7. severity multi objective appraisal procedure temporarily drops in a kind of node voltage according to claim 1, which is characterized in that logical
The evaluation index set for assigning each node after weight again is crossed, to calculate the mode packet of the flat score of the temporary precipitation of each node voltage
It includes:
Each index after nondimensionalization is multiplied to the corresponding comprehensive weight assigned again, and the electricity of each node is obtained by adduction
Press the flat score of temporary precipitation.
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| CN110222946A (en) * | 2019-05-15 | 2019-09-10 | 天津大学 | Electric distribution network overhead wire weak link identification method based on typhoon scenario simulation |
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