CN107844667A - Automatic section searching method based on cut set searching algorithm - Google Patents
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Abstract
The invention discloses the automatic section searching method based on cut set searching algorithm, it is divided into initial section, transmission cross-section and key sections including transmission cross-section in power network, MATLAB first reads in basic data from PSASP, recycle the basic data read in obtain the topological diagram of power network, that is, obtain adjacency matrix；Then using the cut set searching algorithm judged based on connectedness, the minimal cut set of the whole network is obtained, that is, obtains initial section；Further according to direction of tide and distribution factor constraints is cut-off, transmission cross-section is filtered out from initial section；The margin of safety of transmission cross-section is finally calculated, and judges whether its margin of safety is less than threshold value, key sections are then elected as less than threshold value.All key sections of final output.Automatic section searching method of the invention based on cut set searching algorithm, not only avoids omitting important section, and saved operations staff's time.
Description
Technical field
The present invention relates to a kind of section searching method, and in particular to the automatic section searcher based on cut set searching algorithm
Method.
Background technology
Due to most places dispatching of power netwoks planning department using Chinese DianKeYuan software PSASP to local power network progress tide
Stream, short circuit etc. calculate, and to find out the weak link of the power network, that is, identify key sections, and do not know automatically on software PSASP
The function of other section, therefore most of operational planners are to move open-circuit line, meter in PSASP left-hand seats according to operating experience
Trend is calculated, said process is then largely repeated and obtains key sections.As power network scale is increasing, operations staff's not only work
Measure further heavy, and easily miss key sections.Therefore the automatic identification of section is very crucial.
At present, the method on section automatic identification mainly has：1) using electric tightness degree by sub-area division, then will
Circuit between subregion is as section, but this method can not search out the section inside area；2) it is disconnected based on shortest path identification
Face, although the section that this method can be inside identification region, the margin of safety of section is not accounted for, it is possible to which finding out is not
The section of real system monitoring.
The content of the invention
The technical problems to be solved by the invention are that the key sections detection in current power system is not accurate, are not examined
Consider the margin of safety of section, it is possible to which it is not that the section of real system monitoring is calculated, and it is an object of the present invention to provide being based on cut set search to find out
The automatic section searching method of method, is solved the problems, such as above-mentioned.
The present invention is achieved through the following technical solutions：
Automatic section searching method based on cut set searching algorithm, including transmission cross-section is divided into initial section, defeated in power network
Electric section and key sections, also comprise the following steps：S1：Actual electric network system is abstracted into figure using graph theory, utilizes adjoining
Annexation between matrix storage transformer station, then the cut set searching algorithm by being judged based on connectedness search for the institute of power network
There is minimal cut set, so as to obtain initial section；S2：On the basis of initial section, consistent, branch road is flowed to using effective power flow
The threshold value that breadth coefficient is more than setting is cut-off, the constraint in terms of the two is screened, and obtains transmission cross-section；S3：Utilize power network
Security constraint filters out the small transmission cross-section of margin of safety and meets following formula as key sections, the i.e. margin of safety of key sections：
In formula：The margin of safety of section selected by M expressions；The active power that section selected by P expressions passes through；PlimitSelected by expression
The transmission limit of section；MminRepresent key sections margin of safety threshold value；S4：Under given section tidal current constraint, normal fortune
Line mode disconnects any circuit in the section, and remaining line current is no more than its electric current limit, section ability to transmit electricity pole
The section allows the strength of current passed through when limit is system normal operation, and the Continuation Method after N-1 Component screenings calculates section
Transmission limit.When traditional Continuation Method calculates the transmission limit of section, it is assumed that the section has m element, disconnects successively disconnected
Bin part i (i=1,2 ..., m), and calculate the peak power P that remaining m-1 element can transmiti, then transmission limit be：
Plimit=min { Pi| i=1,2 ..., m }
Assuming that conventional method calculates a PiTime complexity be O (P), then the time complexity for calculating the section is
m×O(P).The algorithm redundancy is high, expends time length, is unfavorable for applying on a large scale, therefore the present invention is proposed based on N-1 members
Continuation Method after part screening calculates section transmission limit.In this method, found before the computation using some screening principles
The most easily out-of-limit element of trend after failure, that is, the peak power for ensureing to transmit after the element fault are required transmission pole
Limit, thus only needs once to be calculated, its time complexity is O (P).
Further, the transmission cross-section in the step S2 is：min{λij| i, j ∈ D } ＞ λmin
In formula：D is selected section；λminIt is to cut-off distribution factor threshold value；Before representing that branch road i disconnects, branch road j's is active
Trend；Before representing that branch road i disconnects, the effective power flow of the circuit；After representing that branch road i disconnects, branch road j effective power flow.
Further, the N-1 elements in the step S4 are the section for being made up of 2 elements, select impedance big, first
The big element of part limit is as N-1 elements.
Further, N-1 elements are the section for being made up of 3 limit identical elements in the step S4, are selected
Impedance value element placed in the middle is as N-1 fault elements.
Further, the graph theory used in the step 1 is only ground in power system not considering the characteristic of network element
When studying carefully the topological relation of network, a figure can be abstracted into, wherein load, transformer station, power supply are abstracted into the summit of figure, and
Circuit is then abstracted into the side of figure.
Further, in graph theory, chart is shown as G (V, E), and V represents vertex set, and E represents the set on side, the figure G
(V, E) has n summit, arbitrarily takes out a vertex v first1It is put into vertex set V1In so that V1={ v1, V2={ v2...,
vi..., vn, now V2There is n-1 summit.Define matrix B V2=[b2..., bi..., bn], then have：
Now BV2=[1 ..., 1]n-1, convert thereof into binary number and represented with N, be i.e. N=2n-1, when N often subtracts 1 certainly, top
Point set also and then renewal once, untill N is kept to 1, now vertex set V2An only summit, therefore, in the mistake that N subtracts 1 certainly
Cheng Zhong, BV2Can corresponds all segmentation results of vertex set.
Further, the vertex set is judged, judges vertex set V1、V2Respectively constitute subgraph G1(V1、E1)、G2
(V2, E2) connectedness, if subgraph G1(V1, E1)、G2(V2, E2) connect, then calculate subgraph G1The incidence set on all summits with
Scheme the incidence set on G all summits ring and, that is, obtain minimal cut set, if not connecting, re-start vertex set and select.
In order to more efficiently easily search for section, the invention also provides one kind based on MATLAB and PSASP dynamic friendships
Mutual section method for solving, this method are utilized respectively MATLAB and PSASP adjust to it using Temp files as interaction core
With and modification, form the efficient circulation of system data, avoid writing for complex interface program, it is preferably in engineering in practice
Application, in PSASP7 versions, the basic data and result of calculation of project file are stored in Temp files with txt forms
In folder, therefore the present invention is calculated based on the data in Temp files.LF.L0-LF.L6 files are copied into
In MATLAB project files folder, to read related data, MATLAB according to the form of each LF file storages data carry out by
Position modification, to realize the change to basic data, it should be noted that to keep modification preceding consistent with data type after modification.
, it is necessary to first do corresponding configuration before PSASP Load flow calculations module is called.From PSASP installation text
In part, executable file Wmlf.exe and whole dynamic link library files (suffix .dll) needed for copy Load flow calculation, arrive
In MATLAB project file folder.After relevant configuration is completed, it is possible to realize calling of the MATLAB to PSASP trend modules.
MATLAB calls the result after PSASP progress Load flow calculations to be stored in LF.LP1-LF.LP6 files, wherein file
LF.LP2 stores power flow solutions.As reading PSASP basic datas, it is also that step-by-step is read that MATLAB, which reads power flow solutions,.
MATLAB first reads in basic data from PSASP, recycles the basic data of reading to obtain the topological diagram of power network, i.e.,
Obtain adjacency matrix；Then using the cut set searching algorithm judged based on connectedness, the minimal cut set of the whole network is obtained, that is, is obtained just
Beginning section；Further according to direction of tide and distribution factor constraints is cut-off, transmission cross-section is filtered out from initial section；Finally count
The margin of safety of transmission cross-section is calculated, and judges whether its margin of safety is less than threshold value, key sections are then elected as less than threshold value.Finally
Export all key sections.
The present invention compared with prior art, has the following advantages and advantages：
1st, the automatic section searching method of the invention based on cut set searching algorithm, not only avoids omitting important section, and
Operations staff's time is saved；
2nd, the automatic section searching method of the invention based on cut set searching algorithm, searching method positive effect, is able to verify that
The validity of algorithm；
3rd, the automatic section searching method of the invention based on cut set searching algorithm, can realize the number for calling modification PSASP
According to, recursive call PSASP correlation computations modules, and read the function of PSASP result of calculation.
Brief description of the drawings
Accompanying drawing described herein is used for providing further understanding the embodiment of the present invention, forms one of the application
Point, do not form the restriction to the embodiment of the present invention.In the accompanying drawings：
Fig. 1 is the system flow chart of the embodiment of the present invention one.
Embodiment
For the object, technical solutions and advantages of the present invention are more clearly understood, with reference to embodiment and accompanying drawing, to this
Invention is described in further detail, and exemplary embodiment of the invention and its explanation are only used for explaining the present invention, do not make
For limitation of the invention.
Embodiment
As shown in figure 1, in order to more efficiently easily search for section, the invention also provides one kind based on MATLAB and
The section method for solving of PSASP dynamic interactions, this method are utilized respectively MATLAB and PSASP using Temp files as interaction core
It is called and changed, forms the efficient circulation of system data, avoids writing for complex interface program, it is preferably
The application of engineering in practice, in PSASP7 versions, the basic data and result of calculation of project file are preserved with txt forms
In Temp files, therefore the present invention is calculated based on the data in Temp files.By LF.L0-LF.L6
File is copied into MATLAB project files folder, and to read related data, MATLAB is according to each LF file storages data
Form carries out step-by-step modification, to realize the change to basic data, it should be noted that to keep modification preceding and data after modification
Type is consistent.
, it is necessary to first do corresponding configuration before PSASP Load flow calculations module is called.From PSASP installation text
In part, executable file Wmlf.exe and whole dynamic link library files (suffix .dll) needed for copy Load flow calculation, arrive
In MATLAB project file folder.After relevant configuration is completed, it is possible to realize calling of the MATLAB to PSASP trend modules.
MATLAB calls the result after PSASP progress Load flow calculations to be stored in LF.LP1-LF.LP6 files, wherein file
LF.LP2 stores power flow solutions.As reading PSASP basic datas, it is also that step-by-step is read that MATLAB, which reads power flow solutions,.
MATLAB first reads in basic data from PSASP, recycles the basic data of reading to obtain the topological diagram of power network, i.e.,
Obtain adjacency matrix；Then using the cut set searching algorithm judged based on connectedness, the minimal cut set of the whole network is obtained, that is, is obtained just
Beginning section；Further according to direction of tide and distribution factor constraints is cut-off, transmission cross-section is filtered out from initial section；Finally count
The margin of safety of transmission cross-section is calculated, and judges whether its margin of safety is less than threshold value, key sections are then elected as less than threshold value.Finally
Export all key sections.
The present invention is using data based on certain data of planning power network dry season big mode in PSASP softwares, with the electricity
Net voltage class is that more than 220 kilovolts transformer stations are rack, shares 500 kv substation 7,220 kv substations 48,
Peak load is up to 10,600,000 kilowatts.
Circuit overload index is the maximum current value that operating temperature is 80 DEG C, environment temperature is 40 DEG C of circuits permissions；220000
It is 1.2 times by the capability value of transformer to lie prostrate transformer overload index；Cut-off distribution factor threshold value and choose 0.2；Key sections
Margin of safety threshold value chooses 0.4.
The present invention writes main program on MATLAB, by the above method, all section quantitative comparisons of gained power network such as table 1
It is shown：
Table 1
And the key sections result searched for automatically is indicated by table 2：
Table 2
Table 2 compared for all key sections results of the power network and give section result with operation expert, wherein No. 1, No. 2 sections
For automatic search result.Note：Element number is PSASP circuit number, and the unit of section limit value is 100MW.
By the result of Tables 1 and 2, it can be found that：
The section that the inventive method obtains and the section that expert provides are essentially the same, wherein the inventive method new discovery 2,
No. 8 sections, and No. 1 section of the inventive method is more complete than No. 1 section that expert provides.
The section limit value that the inventive method obtains is lower than the limit value that expert provides, because what the present invention was carried out to section
Most severe N-1 is examined；But both section limit values are more or less the same, it may be said that bright section limit value of the present invention calculates correct
Property.
The inventive method do not obtain expert to indivedual sections, this be due to cut-off breadth coefficient threshold value and safety it is abundant
Spend the problems of value of threshold value.As the present invention in the result of initial section contains No. 10 sections, but due to each element of the section
Between the breadth coefficient that cut-offs be not all higher than threshold value, then just screened out in transmission cross-section；The present invention is in transmission cross-section
As a result contain No. 9 sections, due to the threshold value value of the margin of safety of section, cause the section to be screened out in key sections.
Increasing people is concerned about the automatic search of transmission cross-section in recent years, thus the present invention using PSASP and
Two platforms of MATLAB to automatic search section study significant.
Above-described embodiment, the purpose of the present invention, technical scheme and beneficial effect are carried out further
Describe in detail, should be understood that the embodiment that the foregoing is only the present invention, be not used to limit this hair
Bright protection domain, within the spirit and principles of the invention, any modification, equivalent substitution and improvements done etc. all should
Within protection scope of the present invention.
Claims (7)
1. the automatic section searching method based on cut set searching algorithm, including transmission cross-section is divided into initial section, transmission of electricity in power network
Section and key sections, it is characterised in that also comprise the following steps：
S1：Actual electric network system is abstracted into figure using graph theory, the annexation between transformer station is stored using adjacency matrix, then
All minimal cut sets of power network are searched for by the cut set searching algorithm judged based on connectedness, so as to obtain initial section；
S2：On the basis of initial section, threshold of consistent, the branch breaking breadth coefficient more than setting is flowed to using effective power flow
Value, the constraint in terms of the two are screened, and obtain transmission cross-section；
S3：The small transmission cross-section of margin of safety is filtered out as the peace of key sections, i.e. key sections by the use of power system security constraints
Full nargin meets following formula：
In formula：The margin of safety of section selected by M expressions；The active power that section selected by P expressions passes through；PlimitSection selected by expression
Transmission limit；MminRepresent key sections margin of safety threshold value；
S4：Under given section tidal current constraint, normal operating mode disconnects any circuit, remaining line electricity in the section
Stream is no more than its electric current limit, and the section allows the most spring tide passed through when the section ability to transmit electricity limit is system normal operation
Flow, the Continuation Method after N-1 Component screenings calculates section transmission limit.
2. the automatic section searching method according to claim 1 based on cut set searching algorithm, it is characterised in that the step
Suddenly the transmission cross-section in S2 is：min{λij| i, j ∈ D } ＞ λmin
In formula：D is selected section；λminIt is to cut-off distribution factor threshold value；Before representing that branch road i disconnects, branch road j effective power flow；Before representing that branch road i disconnects, the effective power flow of the circuit；After representing that branch road i disconnects, branch road j effective power flow.
3. the automatic section searching method according to claim 1 based on cut set searching algorithm, it is characterised in that the step
N-1 elements in rapid S4 are the section for being made up of 2 elements, select the element that impedance is big, element limit is big as N-1 members
Part.
4. the automatic section searching method according to claim 1 based on cut set searching algorithm, it is characterised in that the step
N-1 elements are the section for being made up of 3 limit identical elements in rapid S4, select impedance value element placed in the middle as N-1
Fault element.
5. the automatic section searching method according to claim 1 based on cut set searching algorithm, it is characterised in that the step
The graph theory used in rapid 1 power system do not consider the characteristic of network element and when only studying the topological relation of network, can will
It is abstracted into a figure, and wherein load, transformer station, power supply are abstracted into the summit of figure, and circuit is then abstracted into the side of figure.
6. the automatic section searching method according to claim 5 based on cut set searching algorithm, it is characterised in that in graph theory
In, chart is shown as G (V, E), and V represents vertex set, and E represents the set on side, and the figure G (V, E) has n summit, first arbitrarily
Take out a vertex v1It is put into vertex set V1In so that V1={ v1, V2={ v2..., vi..., vn, now V2There is n-1 top
Point.Define matrix B V2=[b2..., bi..., bn], then have：
Now BV2=[1 ..., 1]n-1, convert thereof into binary number and represented with N, be i.e. N=2n-1, when N often subtracts 1 certainly, vertex set
Also and then renewal once, untill N is kept to 1, now vertex set V2An only summit, therefore, during N subtracts 1 certainly,
BV2Can corresponds all segmentation results of vertex set.
7. the automatic section searching method according to claim 6 based on cut set searching algorithm, it is characterised in that by described in
Vertex set is judged, judges vertex set V1、V2Respectively constitute subgraph G1(V1, E1)、G2(V2, E2) connectedness, if subgraph G1
(V1, E1)、G2(V2, E2) connect, then calculate subgraph G1The ring of the incidence set on all summits and the incidence set on all summits of figure G
With obtain minimal cut set, if not connecting, re-start vertex set and select.
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| Publication number | Priority date | Publication date | Assignee | Title |
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| CN109217339A (en) * | 2018-10-25 | 2019-01-15 | 国网天津市电力公司 | A kind of construction method in the Static Voltage Security domain based on PMU configuration |
| CN109558518A (en) * | 2018-10-30 | 2019-04-02 | 深圳先进技术研究院 | The method, apparatus and storage medium of community discovery in a kind of determining social networks |
| CN112186741A (en) * | 2020-09-10 | 2021-01-05 | 贵州电网有限责任公司 | Power grid operation weak point distinguishing method based on BPA (Business Process analysis) simulation calculation |
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Cited By (4)
| Publication number | Priority date | Publication date | Assignee | Title |
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| CN109217339A (en) * | 2018-10-25 | 2019-01-15 | 国网天津市电力公司 | A kind of construction method in the Static Voltage Security domain based on PMU configuration |
| CN109217339B (en) * | 2018-10-25 | 2022-03-11 | 国网天津市电力公司 | Construction method of static voltage security domain based on PMU configuration |
| CN109558518A (en) * | 2018-10-30 | 2019-04-02 | 深圳先进技术研究院 | The method, apparatus and storage medium of community discovery in a kind of determining social networks |
| CN112186741A (en) * | 2020-09-10 | 2021-01-05 | 贵州电网有限责任公司 | Power grid operation weak point distinguishing method based on BPA (Business Process analysis) simulation calculation |
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