CN107832920A - Marine wind electric field cluster Transmission Network Reliability appraisal procedure and system - Google Patents

Marine wind electric field cluster Transmission Network Reliability appraisal procedure and system Download PDF

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CN107832920A
CN107832920A CN201710973245.6A CN201710973245A CN107832920A CN 107832920 A CN107832920 A CN 107832920A CN 201710973245 A CN201710973245 A CN 201710973245A CN 107832920 A CN107832920 A CN 107832920A
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cut set
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郑明�
陆莹
刘天琪
李保宏
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China Energy Engineering Group Guangdong Electric Power Design Institute Co Ltd
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Abstract

Include the present invention relates to a kind of marine wind electric field cluster Transmission Network Reliability appraisal procedure and system, the step of methods described:Obtain the minimal path of power transmission network, build the minimal path matrix of power transmission network, and the fault incidence according to each element, build the involvement stoppage in transit matrix of element in power transmission network, expansion type ffault matrix and non-expansion type ffault matrix are obtained according to involvement stoppage in transit matrix and minimal path matrix, determine the minimal cut set of non-expansion type ffault matrix, it is determined that the minimal cut set of expansion type ffault matrix, according to the minimal cut set of the two, carry out desired value that two combined reliability index output capacities of primary wiring of transformer substation decline and output capacity is obstructed the calculating of probability, the desired value and output capacity declined according to output capacity is obstructed probability assessment marine wind electric field cluster Transmission Network Reliability.The above method of the present invention, each topological reliability of power transmission network is determined by minimal cut set, so as to effectively assess marine wind electric field cluster Transmission Network Reliability.

Description

Marine wind electric field cluster Transmission Network Reliability appraisal procedure and system
Technical field
The present invention relates to T & D Technology field, is commented more particularly to a kind of marine wind electric field cluster Transmission Network Reliability Estimate method and a kind of marine wind electric field cluster Assessment System for Transmission Network Reliability.
Background technology
At present, domestic offshore wind farm research is still confined to single marine wind electric field project aspect mostly, lacks regional sea The holistic approach of upper transmission system and planning.Model in Reliability Evaluation of Power Systems can be divided into two kinds of basic skills at present:One kind is Analytic method, another kind are simulations.Marine wind electric field cluster power transmission network is high compared to the component reliability of conventional system, and Electrical link is close between element, according to simulation, simulation just very likely occurs and does not also collect required system for a long time The situation of system state, and for analytic method, the Calculation of Reliability specifically for marine wind electric field cluster power transmission network is also there is no at present Method.
The content of the invention
Based on this, the problem of for can not effectively assess marine wind electric field cluster Transmission Network Reliability at present, there is provided a kind of Marine wind electric field cluster Transmission Network Reliability appraisal procedure and system.
A kind of marine wind electric field cluster Transmission Network Reliability appraisal procedure, include the step of methods described:
The minimal path and each minimal path for obtaining power transmission network are influenceed information by force device running status, described in structure The minimal path matrix of power transmission network, the minimal path matrix are used to represent the abundance of power transmission network power supply;
The fault incidence of each element in power transmission network is obtained, builds the involvement stoppage in transit matrix of element in power transmission network, according to The involvement stoppage in transit matrix and the minimal path matrix obtain the expansion type ffault matrix of power transmission network and non-expansion type failure square Battle array;
The first minimal cut set of the non-expansion type ffault matrix is determined, determines the second of the expansion type ffault matrix Minimal cut set;Wherein, the first minimal cut set for the non-expansion type ffault matrix row or minimal cut between the column and the column Collection, the second minimal cut set for expansion type ffault matrix row or minimal cut set between the column and the column;
According to first minimal cut set and the second minimal cut set, the output capacity decline of primary wiring of transformer substation is calculated Desired value and output capacity are obstructed probability, and the desired value and output capacity declined according to output capacity is obstructed probability assessment sea Wind power plant cluster Transmission Network Reliability.
A kind of marine wind electric field cluster Assessment System for Transmission Network Reliability, the system include:
Minimal path matrix builds module, and minimal path and each minimal path for obtaining power transmission network are run by force device The influence information of state, builds the minimal path matrix of the power transmission network, and the minimal path matrix is used to represent power transmission network power supply It is abundance;
Ffault matrix builds module, for obtaining the fault incidence of each element in power transmission network, builds member in power transmission network The involvement stoppage in transit matrix of part, the expansion type failure of power transmission network is obtained according to the involvement stoppage in transit matrix and the minimal path matrix Matrix and non-expansion type ffault matrix;
Minimal cut set determining module, for determining the first minimal cut set of the non-expansion type ffault matrix, it is determined that described Second minimal cut set of expansion type ffault matrix;Wherein, the first minimal cut set for the non-expansion type ffault matrix row or Minimal cut set between the column and the column, the second minimal cut set for expansion type ffault matrix row or minimal cut between the column and the column Collection;
Reliability assessment module, for according to first minimal cut set and the second minimal cut set, calculating electric substation master and connecing The desired value and output capacity that the output capacity of line declines are obstructed probability, and the desired value declined according to output capacity and output are held Measure the probability assessment marine wind electric field cluster Transmission Network Reliability that is obstructed.
Above-mentioned marine wind electric field cluster Transmission Network Reliability appraisal procedure and system, first by building power transmission network most Path matrix, the involvement stoppage in transit matrix of element in power transmission network is then built, obtained by minimal path matrix and involvement stoppage in transit matrix The expansion type ffault matrix of power transmission network and non-expansion type ffault matrix, so as to try to achieve the minimal cut set of power transmission network network, by most Small cut set tries to achieve the desired value that two output capacities decline and the probability that output capacity is obstructed, the phase declined according to output capacity The probability assessment marine wind electric field cluster Transmission Network Reliability that prestige value and output capacity are obstructed, technical scheme, passes through Minimal cut set determines each topological reliability of power transmission network, so as to effectively assess marine wind electric field cluster Transmission Network Reliability.
Brief description of the drawings
Fig. 1 is the indicative flowchart of marine wind electric field cluster Transmission Network Reliability appraisal procedure in an embodiment;
Fig. 2 is the schematic diagram of the Topology connection of a certain marine wind electric field cluster power transmission network in an embodiment;
Fig. 3 is the connection figure of booster stations initial internal element in an embodiment;
Fig. 4 is to increase the connection figure that inlet-outlet line interval carries out the booster stations element after topological transformation in an embodiment newly;
Fig. 5 is the structured data matrix diagram of element number in each booster stations in an embodiment;
Fig. 6 is the schematic diagram of marine wind electric field cluster Assessment System for Transmission Network Reliability in an embodiment.
Embodiment
Further to illustrate the effect of the technological means of the invention taken and acquirement, below in conjunction with the accompanying drawings and preferably Embodiment, to the technical scheme of the embodiment of the present invention, carry out clear and complete description.
Fig. 1 is the indicative flowchart of marine wind electric field cluster Transmission Network Reliability appraisal procedure in an embodiment, is such as schemed Include shown in 1, the step of methods described:
S101, the minimal path and each minimal path for obtaining power transmission network are influenceed information by force device running status, structure The minimal path matrix of the power transmission network.
In this step, a power channel in power transmission network is can be used to indicate that in minimal path matrix per a line, i.e., it is defeated The minimal path of power network.
S102, the fault incidence of each element in power transmission network is obtained, build the involvement stoppage in transit square of element in power transmission network Battle array, the expansion type ffault matrix of power transmission network and non-expansion type are obtained according to the involvement stoppage in transit matrix and the minimal path matrix Ffault matrix.
Involvement stoppage in transit matrix is the fault incidence for determining each element in marine wind electric field cluster power transmission network Battle array, characterize the direct result of element fault.In this step, the purpose that structure involvement stoppage in transit is put to the proof is to determine element To the coverage of other elements in main electrical scheme during generation expansion type failure.
Expansion type ffault matrix is the square that consequence is produced when being used to determine that expansion type failure occurs for an element in power transmission network Battle array, the combination for all expansion type fault elements for causing power transmission network failure can be found out by this matrix and to offshore wind farm The influence consequence of field cluster transmission of electricity network operation.
Non- expansion type ffault matrix is the matrix that consequence is produced when being used to determine that non-expansion type fault element breaks down.
S103, the first minimal cut set of the non-expansion type ffault matrix is determined, determines the expansion type ffault matrix Second minimal cut set;Wherein, the first minimal cut set for the non-expansion type ffault matrix row or minimum between the column and the column Cut set, the second minimal cut set for expansion type ffault matrix row or minimal cut set between the column and the column.
Minimal cut set is the fundamental quantity of reliability statistics, in this step, to non-expansion type ffault matrix and the event of expansion type Barrier matrix carries out reliability statistics and obtains the first minimal cut set and the second minimal cut set.
S104, according to first minimal cut set and the second minimal cut set, under the output capacity for calculating primary wiring of transformer substation The desired value and output capacity of drop are obstructed probability, and the desired value and output capacity declined according to output capacity is obstructed probability assessment Marine wind electric field cluster Transmission Network Reliability.
In this step, two minimal cut sets obtained by S103 steps, are calculated two reliability assessment indexs The desired value and output capacity that output capacity declines are obstructed probability, the desired value that is declined by output capacity and output capacity by Resistance probability is assessed marine wind electric field cluster Transmission Network Reliability.
The marine wind electric field cluster Transmission Network Reliability appraisal procedure of the present embodiment, first by building power transmission network most Path matrix, the involvement stoppage in transit matrix of element in power transmission network is then built, obtained by minimal path matrix and involvement stoppage in transit matrix The expansion type ffault matrix of power transmission network and non-expansion type ffault matrix, so as to try to achieve the minimal cut set of power transmission network network, by most Small cut set tries to achieve the desired value that two combined reliability index output capacities decline and output capacity is obstructed probability, according to output The desired value and output capacity that capacity declines are obstructed probability assessment marine wind electric field cluster Transmission Network Reliability, skill of the invention Art scheme, each topological reliability of power transmission network is determined by minimal cut set, so as to effectively assess the transmission of electricity of marine wind electric field cluster Net reliability.
The step of for S101, in one embodiment, the minimal path matrix of power transmission network can be built in the following manner:
Using l bars minimal path as row matrix, using n element as column matrix, build l × n ranks minimal path matrix, it is described most The mathematic(al) representation of path matrix is:
Wherein, G represents minimal path matrix, gijFor element in matrix, mathematic(al) representation is:
When i-th (1≤i≤l) bar minimal path includes element j (1≤j≤n), gijTake 1;In i-th minimal path not During including element j, gijTake 0.
In the present embodiment, minimal path matrix can be represented with another form, as follows:
Wherein, L1、L2、….LlRepresent all minimal paths of power transmission network, x1、x2、….xnRepresent member all in power transmission network Part.
At sea in wind power plant cluster power transmission network, each row matrix Li(1≤i≤l) describe transmission of electricity network operation can Energy property, once confirming, the composition state of minimal path is determined that the method for operation, and therefore, the quantity that the element in row matrix L is 1 is got over More, then minimal path is bigger by the interference of element fault corresponding to the row matrix, easier to cause circuit due to component wear Obstacle is transmitted, the threat to power transmission network reliability service is bigger.
Minimal path matrix also describes the abundance of power transmission network, due to and non-required whole minimal paths all block, it is marine Quantity of electricity supply deficiency just occurs in power transmission network, so must be according to may have in the discussion of power transmission network operational reliability Element fault, examine the reliability load capacity under this working condition one by one, could definitely evaluate marine power transmission network That powers is abundance.
The step of for S102, in one embodiment, the involvement that can build element in power transmission network in the following manner, stop Transport matrix:
Obtain power transmission network system mode and network structure information, using n element as column matrix, and using n element as Row matrix, builds the adjacency matrix of n × n ranks of element in power transmission network, and the mathematic(al) representation of the adjacency matrix is:
Wherein, A represents adjacency matrix, and the mathematic(al) representation of element is in matrix:
When the element i (1≤i≤n) of operation is connected with the element j (1≤j≤n) run, aijTake 1;In element i or Element j stop transport, or operation element i with operation element j be not attached to when, aijTake 0.
In the adjacency matrix, obtain the row matrix built with element i, judge value in the row matrix for 1 element Corresponding element j, judge to whether there is breaker in all element j;If so, then recording element j is element i coverage; If it is not, then judge the coverage of another element;According to the coverage of each element, the involvement stoppage in transit matrix is obtained.
In the present embodiment, adjacency matrix A characterizes the network structure of marine wind electric field cluster power transmission network, in adjacency matrix The annexation of each element can clearly be obtained, by the element in (1,0) code representing matrix, also by element it Between annexation, operation or the stoppage in transit state of element are characterized, so as to which adjacency matrix also characterizes the system shape of power transmission network State information.
Further, using n element as minimal path matrix column, and the row using n element as minimal path matrix, structure Build involvement stoppage in transit matrix mathematic(al) representation be:
Wherein, D represents involvement stoppage in transit matrix, element d in the matrixijMathematic(al) representation be:
When element i (1≤j≤n) expansion type failure makes element j (1≤j≤n) involvements stop transport, dij1 is taken, in element i Expansion type failure on element j (1≤j≤n) without influence when, dijTake 0.
By building stoppage in transit matrix of being involved, the fault incidence of each element of marine wind electric field cluster power transmission network is determined, Embody each element fault in power transmission network directly affects consequence.Obviously, it is being involved in stoppage in transit matrix D, any one row element It is more for 1 element in the row matrix of composition, then receive the element of its influence just during element generation expansion type failure corresponding to the row More, the influence to Main wiring diagram reliability is bigger.
Optionally, the non-expansion type ffault matrix of power transmission network can be obtained in the following manner:
The element of expansion type failure can only be occurred by obtaining in power transmission network, expansion type failure will only occur in minimal path matrix G Element respective column element zero setting, obtain non-expansion type ffault matrix.
Only it is that the element itself is out of service after non-expansion type failure occurs due to element, without the property for expanding failure Matter, other elements will not also be impacted, therefore the member that only will need to only occur in row corresponding to the element of expansion type failure The whole zero setting of element, it is possible to obtain non-expansion type ffault matrix.
Optionally, the expansion type ffault matrix of power transmission network can be obtained in the following manner:
Obtain in the minimal path matrix G for 1 element corresponding to element, by the row corresponding to the element with it is described The row corresponding to the element of being involved in stoppage in transit matrix carries out or computing, obtains expansion type ffault matrix.
In this step, a line in minimal path matrix G may have multiple elements for being 1, then by the row with being 1 element Corresponding element is carried out or computing in corresponding row in stoppage in transit matrix of being involved, and every a line in minimal path matrix G is all carried out Operation is stated, obtains expansion type ffault matrix.
The step of for S103, in one embodiment, the non-expansion type ffault matrix can be determined in the following manner The first minimal cut set, determine the second minimal cut set of the expansion type ffault matrix:
The row that a column element in the non-expansion type ffault matrix and the expansion type ffault matrix is all 1 are obtained respectively, The column matrix of the row composition is the single order minimal cut set of power transmission network;Respectively by the non-expansion type ffault matrix and the expansion Element corresponding to more than two row carries out logic add computing in large-scale ffault matrix, obtains the row that element is all 1 row composition Matrix is multistage minimal cut set.
Filter out unduplicated cut set in multistage minimal cut set;Single order corresponding to the non-expansion type ffault matrix is minimum Cut set forms first minimal cut set with corresponding multistage minimal cut set;Single order minimal cut corresponding to the expansion type failure Collection forms second minimal cut set with corresponding multistage minimal cut set.
For non-expansion type ffault matrix and expansion type ffault matrix, if a row corresponding element of the matrix is all 1, Then element corresponding to the row is exactly the single order minimal cut set of the matrix;Carried out if the element of any two row is corresponding in the matrix Logic add, obtained column element are all 1, then this two column element is exactly the second order minimal cut set of the matrix, similarly, can be derived Three rank minimal cut sets and more multistage are obtained, it is in the present embodiment, second order and the minimal cut set of the above is referred to as multistage Minimal cut set.
In multistage minimal cut set, the cut set much repeated due to the rising of order, in multistage minimal cut set be present, because This, also to remove the cut set of repetition can just obtain the minimal cut set of non-expansion type ffault matrix and expansion type ffault matrix.
Optionally, after obtaining the first minimal cut set and the second minimal cut set, it is also an option that the first minimal cut set and The second order minimal cut set in single order minimal cut set and multistage minimal cut set in two minimal cut sets is the minimal cut of the power transmission network Collection;Wherein, the second order minimal cut set is that corresponding element progress logic add computing obtains in two column elements.
According to the single order minimal cut set and the second order minimal cut set, obtaining the incipient fault event is:Single order The non-expansion type failure of expansion type failure, single order, the element expansion type failure of an element expansion type failure one, element expansion type event Hinder the non-expansion type failure of an element, the non-expansion type failure of the non-element of expansion type failure one of an element, an element scheduled overhaul unitary Part expansion type failure and the non-expansion type failure of the element of an element scheduled overhaul one.
Because low order cut set determines the reliability index of system, therefore, in the present embodiment, only select single order minimum Cut set and second order minimal cut set.
The step of to S104, in one embodiment, can be in the following manner according to first minimal cut set and second Minimal cut set, calculates desired value that the output capacity of primary wiring of transformer substation declines and output capacity is obstructed probability:
Calculating has obtained all according to first minimal cut set and second minimal cut set in a upper embodiment Minimal cut set corresponding to incipient fault event and each incipient fault event;Each incipient fault event is obtained to occur Probability;Determine the branch road and the capacity of the branch road inputted corresponding to the minimal cut set or output node is connected;According to The capacity of the branch road, obtain the total capacity of main electrical scheme.The probability occurred according to each incipient fault event, obtains the master The probability and failure-frequency of each output capacity of wiring.According to the total capacity of the main electrical scheme, default step-length, main electrical scheme The probability and failure-frequency of each output capacity;The mathematic(al) representation of desired value for obtaining output capacity decline is:
Wherein, EENSsubRepresent the desired value that output capacity declines;T represents it is expected timing statisticses;CRepresent that the master connects The total capacity of line;Δ x represents default step-length;PiRepresent the probability of each output capacity of main electrical scheme;
And obtain the mathematic(al) representation of the probability that output capacity is obstructed and be:
Wherein, LOSsubThe probability that output capacity is obstructed is represented, the failure-frequency is expressed as fi(i=0,1,2, 3.........kN)。
According to reliability index EENSsubAnd LOSsubSelection meets the optimal case of reliability requirement.
Below with a specific embodiment, one is entered to the marine wind electric field cluster Transmission Network Reliability appraisal procedure of the present invention Walk explanation.
Fig. 2 is the schematic diagram of the Topology connection of a certain marine wind electric field cluster power transmission network.Fig. 3 is to be boosted in Fig. 2 The connection figure of initial internal of standing element.Inlet-outlet line interval is increased newly after booster stations in Fig. 3 are carried out into topological transformation, obtains Fig. 4.
Utilize the structural array matrix shown in formation Fig. 5 of array of data structures, actual volume of each element in power transmission network 5* (n-1)+i number is followed successively by, n therein is the numbering of booster stations in Fig. 2, and i is the numbering of the element in fig. 2.
According to the element in above-mentioned booster stations, the reliable of the reliability index of element in booster stations and wind energy conversion system is obtained Property index is as described in Table 1:
The transmission path of this programme is:Rendezvous Point → booster stations 1, Rendezvous Point → booster stations 2, Rendezvous Point → booster stations 3, Rendezvous Point → booster stations 4, Rendezvous Point → booster stations 5, Rendezvous Point → booster stations 6.The general of each incipient fault event is calculated Rate is as shown in table 2:
The failure frequency that each incipient fault event is calculated is as shown in table 3:
The failure cumulative time that each incipient fault event is calculated is as shown in table 4:
By the data in table 1, table 2, table 3 and table 4, EENS can be calculatedsubAnd LOSsubTwo reliabilities are commented Estimate index, as shown in table 5:
Reliability index Numerical value
EENSsub(be obstructed in year electric energy/MWh) 192092.37
LOSsub(probability/% that power network output capacity is obstructed) 6.16
Based on the marine wind electric field cluster Transmission Network Reliability appraisal procedure identical thought in above-described embodiment, this Invention also provides marine wind electric field cluster Assessment System for Transmission Network Reliability, and the system can be used for performing above-mentioned marine wind electric field Cluster Transmission Network Reliability appraisal procedure.For convenience of description, marine wind electric field cluster Assessment System for Transmission Network Reliability is implemented In the structural representation of example, the part related to the embodiment of the present invention is illustrate only, it will be understood by those skilled in the art that The restriction of schematic structure not structure paired systems, it can include than illustrating more or less parts, or some portions of combination Part, or different parts arrangement.
Fig. 6 is the schematic diagram of marine wind electric field cluster Assessment System for Transmission Network Reliability in an embodiment, is such as schemed Shown in 6, the system includes:
Minimal path matrix builds module 201, and minimal path and each minimal path for obtaining power transmission network are transported by force device The influence information of row state, builds the minimal path matrix of the power transmission network, and the minimal path matrix is used to represent that power transmission network is powered It is abundance;
Ffault matrix builds module 202, for obtaining the fault incidence of each element in power transmission network, builds power transmission network The involvement stoppage in transit matrix of middle element, the expansion type of power transmission network is obtained according to the involvement stoppage in transit matrix and the minimal path matrix Ffault matrix and non-expansion type ffault matrix;
Minimal cut set determining module 203, for determining the first minimal cut set of the non-expansion type ffault matrix, it is determined that Second minimal cut set of the expansion type ffault matrix;Wherein, the first minimal cut set is the row of the non-expansion type ffault matrix Or minimal cut set between the column and the column, the second minimal cut set for expansion type ffault matrix row or between the column and the column most Small cut set;
Reliability assessment module 204, for according to first minimal cut set and the second minimal cut set, calculating electric substation The desired value and output capacity that the output capacity of main electrical scheme declines are obstructed probability, the desired value declined according to output capacity and defeated Go out capacity to be obstructed probability assessment marine wind electric field cluster Transmission Network Reliability.
Each technical characteristic of embodiment described above can be combined arbitrarily, to make description succinct, not to above-mentioned reality Apply all possible combination of each technical characteristic in example to be all described, as long as however, the combination of these technical characteristics is not deposited In contradiction, the scope that this specification is recorded all is considered to be.
Embodiment described above only expresses the several embodiments of the present invention, and its description is more specific and detailed, but simultaneously Can not therefore it be construed as limiting the scope of the patent.It should be pointed out that come for one of ordinary skill in the art Say, without departing from the inventive concept of the premise, various modifications and improvements can be made, these belong to the guarantor of the present invention Protect scope.Therefore, the protection domain of patent of the present invention should be determined by the appended claims.

Claims (10)

1. a kind of marine wind electric field cluster Transmission Network Reliability appraisal procedure, it is characterised in that include the step of methods described:
The minimal path and each minimal path for obtaining power transmission network are influenceed information by force device running status, build the power transmission network Minimal path matrix;
The fault incidence of each element in power transmission network is obtained, the involvement stoppage in transit matrix of element in power transmission network is built, according to described Involvement stoppage in transit matrix and the minimal path matrix obtain the expansion type ffault matrix of power transmission network and non-expansion type ffault matrix;
The first minimal cut set of the non-expansion type ffault matrix is determined, determines the second minimal cut of the expansion type ffault matrix Collection;Wherein, the first minimal cut set is the row or minimal cut set between the column and the column of the non-expansion type ffault matrix, and second most Small cut set for expansion type ffault matrix row or minimal cut set between the column and the column;
According to first minimal cut set and the second minimal cut set, the desired value that the output capacity of primary wiring of transformer substation declines is calculated It is obstructed probability with output capacity, the desired value and output capacity declined according to output capacity is obstructed probability assessment marine wind electric field collection Group's Transmission Network Reliability.
2. marine wind electric field cluster Transmission Network Reliability appraisal procedure according to claim 1, it is characterised in that the structure The step of minimal path matrix for building power transmission network, includes:
Using l bars minimal path as row matrix, using n element as column matrix, the minimal path matrix of l × n ranks, the minimal path square are built Battle array mathematic(al) representation be:
Wherein, G represents minimal path matrix, gijFor element in matrix, mathematic(al) representation is:
When i-th (1≤i≤l) bar minimal path includes element j (1≤j≤n), gijTake 1;Do not include in i-th minimal path During element j, gijTake 0.
3. marine wind electric field cluster Transmission Network Reliability appraisal procedure according to claim 1, it is characterised in that the structure The step of building the involvement stoppage in transit matrix of element in power transmission network, including:
The system mode and network structure information of power transmission network are obtained, using n element as column matrix, and using n element as row square Battle array, builds the adjacency matrix of n × n ranks of element in power transmission network, and the mathematic(al) representation of the adjacency matrix is:
Wherein, A represents adjacency matrix, and the mathematic(al) representation of element is in matrix:
When the element i (1≤i≤n) of operation is connected with the element j (1≤j≤n) run, aijTake 1;In element i or element j Stop transport, or operation element i with operation element j be not attached to when, aijTake 0;
In the adjacency matrix, the row matrix built with element i is obtained, judges that value is corresponding for 1 element in the row matrix Element j, judge to whether there is breaker in all element j;
If so, then recording element j is element i coverage;If it is not, then judge the coverage of another element;
According to the coverage of each element, the involvement stoppage in transit matrix is obtained.
4. marine wind electric field cluster Transmission Network Reliability appraisal procedure according to claim 1, it is characterised in that it is described by The mathematic(al) representation of tired stoppage in transit matrix is:
Wherein, D represents involvement stoppage in transit matrix, element d in the matrixijMathematic(al) representation be:
When element i (1≤i≤n) expansion type failure makes element j (1≤j≤n) involvements stop transport, dij1 is taken, in element i expansion Large-scale failure on element j without influence when, dijTake 0.
5. marine wind electric field cluster Transmission Network Reliability appraisal procedure according to claim 2, it is characterised in that according to institute Involvement stoppage in transit matrix and minimal path matrix the step of obtaining the non-expansion type ffault matrix of power transmission network are stated, including:
The element of expansion type failure can only be occurred by obtaining in the power transmission network, the event of expansion type will can only occur in minimal path matrix G The element zero setting of row, obtains non-expansion type ffault matrix corresponding to the element of barrier.
6. marine wind electric field cluster Transmission Network Reliability appraisal procedure according to claim 2, it is characterised in that according to institute Involvement stoppage in transit matrix and minimal path matrix the step of obtaining the expansion type ffault matrix of power transmission network are stated, including:
Obtain in the minimal path matrix G as the element corresponding to 1 element, the row corresponding to the element and the involvement are stopped Row progress or computing corresponding to the element in matrix are transported, obtains expansion type ffault matrix.
7. marine wind electric field cluster Transmission Network Reliability appraisal procedure according to claim 2, it is characterised in that described true First minimal cut set of the fixed non-expansion type ffault matrix, determine the step of the second minimal cut set of the expansion type ffault matrix Suddenly, including:
The row that a column element in the non-expansion type ffault matrix and the expansion type ffault matrix is all 1 are obtained respectively, it is described The column matrix of row composition is the single order minimal cut set of power transmission network;Respectively by the non-expansion type ffault matrix and expansion type event Hinder element corresponding to more than two row in matrix and carry out logic add computing, the column matrix for obtaining the row composition that element is all 1 is Multistage minimal cut set;
Filter out unduplicated cut set in multistage minimal cut set;Single order minimal cut set corresponding to the non-expansion type ffault matrix with Corresponding multistage minimal cut set forms first minimal cut set;Single order minimal cut set corresponding to the expansion type failure with it is corresponding Multistage minimal cut set form second minimal cut set.
8. marine wind electric field cluster Transmission Network Reliability appraisal procedure according to claim 7, it is characterised in that it is determined that First minimal cut set of the non-expansion type ffault matrix, after the second minimal cut set for determining the expansion type ffault matrix Step, including:
Select first minimal cut set and the single order minimal cut set in second minimal cut set and the multistage minimal cut set In second order minimal cut set be the power transmission network minimal cut set;Wherein, the second order minimal cut set is corresponding in two column elements Element carries out what logic add computing obtained;
According to the single order minimal cut set and the second order minimal cut set, obtaining the incipient fault event is:Single order expands The non-expansion type failure of type failure, single order, the element expansion type failure of an element expansion type failure one, an element expansion type failure unitary The non-expansion type failure of part, the non-expansion type failure of the non-element of expansion type failure one of an element, the element of an element scheduled overhaul one expand Type failure and the non-expansion type failure of the element of an element scheduled overhaul one.
9. marine wind electric field cluster Transmission Network Reliability appraisal procedure according to claim 8, it is characterised in that described According to first minimal cut set and the second minimal cut set, desired value and output that the output capacity of primary wiring of transformer substation declines are calculated Capacity be obstructed probability the step of, including:
Obtain the probability that each incipient fault event occurs;Determine input or output node phase corresponding to the minimal cut set The capacity of branch road even and the branch road;According to the capacity of the branch road, the total capacity of main electrical scheme is obtained;
The probability occurred according to each incipient fault event, obtain the probability and failure frequency of each output capacity of the main electrical scheme Rate;
According to the total capacity of the main electrical scheme, default step-length, each output capacity of main electrical scheme probability and failure-frequency;Obtain The mathematic(al) representation of desired value that output capacity declines is:
Wherein, EENSsubRepresent the desired value that output capacity declines;T represents it is expected timing statisticses;CRepresent the main electrical scheme Total capacity;Δ x represents default step-length;PiRepresent the probability of each output capacity of main electrical scheme;
And obtain the mathematic(al) representation of the probability that output capacity is obstructed and be:
Wherein, LOSsubThe probability that output capacity is obstructed is represented, the failure-frequency is expressed as fi(i=0,1,2, 3.........kN)。
10. a kind of marine wind electric field cluster Assessment System for Transmission Network Reliability, it is characterised in that the system includes:
Minimal path matrix build module, for obtain power transmission network minimal path and each minimal path by force device running status Information is influenceed, builds the minimal path matrix of the power transmission network, the minimal path matrix is used to represent the abundance of power transmission network power supply;
Ffault matrix builds module, for obtaining the fault incidence of each element in power transmission network, builds element in power transmission network Be involved stoppage in transit matrix, according to it is described involvement stoppage in transit matrix and the minimal path matrix obtain power transmission network expansion type ffault matrix and Non- expansion type ffault matrix;
Minimal cut set determining module, for determining the first minimal cut set of the non-expansion type ffault matrix, determine the expansion Second minimal cut set of type ffault matrix;Wherein, the first minimal cut set for the non-expansion type ffault matrix row or row with Minimal cut set between row, the second minimal cut set for expansion type ffault matrix row or minimal cut set between the column and the column;
Reliability assessment module, for according to first minimal cut set and the second minimal cut set, calculating primary wiring of transformer substation The desired value and output capacity that output capacity declines are obstructed probability, and the desired value and output capacity declined according to output capacity is obstructed Probability assessment marine wind electric field cluster Transmission Network Reliability.
CN201710973245.6A 2017-10-18 2017-10-18 Marine wind electric field cluster Transmission Network Reliability appraisal procedure and system Pending CN107832920A (en)

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