CN108647830A - The value generation methods such as the boundary of security constraint inside the province towards transregional electricity transaction transprovincially - Google Patents

The value generation methods such as the boundary of security constraint inside the province towards transregional electricity transaction transprovincially Download PDF

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CN108647830A
CN108647830A CN201810465507.2A CN201810465507A CN108647830A CN 108647830 A CN108647830 A CN 108647830A CN 201810465507 A CN201810465507 A CN 201810465507A CN 108647830 A CN108647830 A CN 108647830A
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province
power
vertex
transregional
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CN108647830B (en
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谭振飞
钟海旺
夏清
康重庆
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Tsinghua University
State Grid Corp of China SGCC
State Grid Chongqing Electric Power Co Ltd
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    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06Q—INFORMATION AND COMMUNICATION TECHNOLOGY [ICT] SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES; SYSTEMS OR METHODS SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES, NOT OTHERWISE PROVIDED FOR
    • G06Q10/00—Administration; Management
    • G06Q10/04—Forecasting or optimisation specially adapted for administrative or management purposes, e.g. linear programming or "cutting stock problem"
    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06Q—INFORMATION AND COMMUNICATION TECHNOLOGY [ICT] SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES; SYSTEMS OR METHODS SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES, NOT OTHERWISE PROVIDED FOR
    • G06Q40/00—Finance; Insurance; Tax strategies; Processing of corporate or income taxes
    • G06Q40/04—Trading; Exchange, e.g. stocks, commodities, derivatives or currency exchange
    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06Q—INFORMATION AND COMMUNICATION TECHNOLOGY [ICT] SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES; SYSTEMS OR METHODS SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES, NOT OTHERWISE PROVIDED FOR
    • G06Q50/00—Systems or methods specially adapted for specific business sectors, e.g. utilities or tourism
    • G06Q50/06—Electricity, gas or water supply
    • Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y04—INFORMATION OR COMMUNICATION TECHNOLOGIES HAVING AN IMPACT ON OTHER TECHNOLOGY AREAS
    • Y04S—SYSTEMS INTEGRATING TECHNOLOGIES RELATED TO POWER NETWORK OPERATION, COMMUNICATION OR INFORMATION TECHNOLOGIES FOR IMPROVING THE ELECTRICAL POWER GENERATION, TRANSMISSION, DISTRIBUTION, MANAGEMENT OR USAGE, i.e. SMART GRIDS
    • Y04S10/00—Systems supporting electrical power generation, transmission or distribution
    • Y04S10/50—Systems or methods supporting the power network operation or management, involving a certain degree of interaction with the load-side end user applications

Abstract

The present invention discloses a kind of value generation methods such as the boundary of security constraint inside the province towards transregional electricity transaction transprovincially, belongs to power market transaction technical field.This method obtains Operation of Electric Systems basic data inside the province first, electric system exchanges power-efficient domain model with external electrical network to structure inside the province, it is solved using the method that vertex is successively searched for and exchanges power-efficient domain model, transregional trading clearing transprovincially is used for ensure that transaction results can perform this electric power saving system using result as feasible region constraint.Operation of Electric Systems security constraint equivalence complicated, high-dimensional inside the province is to be constrained about the simple of Tie line Power, low dimensional by this method, so that can fully consider system operation security constraint inside the province in transregional transaction transprovincially, it may advantageously facilitate electricity transaction and smoothly carry out and ensure safe operation of power system.

Description

The value generation methods such as the boundary of security constraint inside the province towards transregional electricity transaction transprovincially
Technical field
The invention belongs to power market transaction field, a kind of peace inside the province towards transregional electricity transaction transprovincially especially set out The value generation methods such as staff cultivation boundary.
Background technology
Chinese generation assets decide that carrying out transregional electric power saving transaction has bigger with the characteristics of workload demand contrary distribution Benefit.The fast development of UHV Transmission Engineering provides physical basis for a wide range of most optimum distribution of resources, with a new round Power system reform moves forward steadily, and transregional electric power saving transaction also becomes the important issue of Power Market In China construction.
To ensure power network safety operation, system operation safety must be fully considered when carrying out transregional electricity transaction transprovincially about Beam.Existing research multi-focus is in unified by multizone economic load dispatching (Multi-Area Economic Dispatch, MAED) Consider that (Wu Wenchuan, Zhang Baiming, Sun Hongbin, Wang Bin, Guo Qing come, Li Zhigang, Lin Chen sunshine bases with interregional network constraint in region In the Beijing multizone composition decomposition dynamic economic dispatch method [P] for correcting generalized benders decomposition：CN106208075A, 2016-12-07.) (Lu Wentian, Liu Mingbo, Lin Shunjiang wait multi-area Interconnected Power Systems of the based on distributed interior point method optimal Trend distributing solves [J] Proceedings of the CSEEs, 2016,36 (24):6828-6837.).It is limited to computing capability and shows Capable multi-stage scheduling pattern, MAED are difficult to centralized optimization solution；And the distributed method for solving of all kinds of composition decompositions is generally deposited May not restrain in iteration, single point failure the problems such as --- this makes MAED there is no method practical application.
Power Market Construction in practice, Europe generally use " interregional joint transaction+region inner equilibrium market " mould Formula, using model or the interregional congestion management of available transfer capability model progress based on trend in transregional transaction.Chinese state Inside also about the research of available transfer capability computational methods, (Xue Bike, Shi Fei explain clean, Yang Zhenglin, Geng Jian, wait a kind of electric power of Available transfer capability determines the Jiangsu method and device [P]：CN106683003A,2017-05-17.).Model based on trend will Region is reduced to node, has ignored and runs constraint in region；Though available transfer capability model considers in region (inside the province) quiet State such as stablizes at the constraints, but is only applicable to point-to-point transaction, can not count and region sends out coupling constraint between end more, is difficult to apply In the more complicated latticed power grid of structure.
As Chinese extra-high voltage alternating current-direct current serial-parallel power grid is gradually built up, each provinces and regions contact is more close, transregional transprovincially to merchandise Measure continuous enlargement.If transregional electricity transaction transprovincially does not consider each operation constraint inside the province, transregional transaction results pair transprovincially may be caused Electric system can not execute inside the province, and lost revenue and fairness problem can then be caused by carrying out subsequent Security Checking and transaction reduction. Existing research fining can not consider each Operation of Electric Systems security constraint inside the province in transregional transaction transprovincially, this becomes urgently The realistic problem of solution.It is current there is no with the value generation methods such as the boundary of security constraint inside the province towards transregional electricity transaction transprovincially Relevant research.
Invention content
The purpose of the invention is to fill up in transregional electricity transaction to be difficult to refine to consider that system operation safety is about inside the province A kind of technological gap of beam, it is proposed that the value generation methods such as boundary of security constraint inside the province towards transregional electricity transaction transprovincially.This Operation of Electric Systems security constraint equivalence complicated, high-dimensional inside the province is about the simple, low of Tie line Power by invention Dimension constrains so that operation constraint inside the province can be fully considered in transregional transaction, to effectively avoid transregional transaction results pair transprovincially The infeasible situation of electric system inside the province may advantageously facilitate electricity transaction and smoothly carry out and ensure safe operation of power system.
The present invention proposes a kind of value generation methods such as the boundary of security constraint inside the province towards transregional electricity transaction transprovincially, special Sign is that this approach includes the following steps：
1) Operation of Electric Systems basic data inside the province is obtained；
The basic data of Operation of Electric Systems inside the province includes：Booting unit minimum technology is contributed inside the province, be switched on machine inside the province The power flow transfer distribution factor of the group active power output upper limit, the inside the province active transmission limit of circuit, inside the province power grid；
2) electric system exchanges power-efficient domain model with outer net to structure inside the province；It is as follows：
The Operation of Electric Systems security constraints inside the province based on DC power flow 2-1) are built, it is as follows respectively：
2-2-1) power-balance constraint condition inside the province：
Wherein,It is the active power output of generating set i inside the province,It is the wattful power that drop point is transmitted in the interconnection of node j Rate,It is the burden with power of load bus k, NGIt is the generating set number being switched on inside the province, NBIt is interconnection interstitial content inside the province, NDIt is load bus number inside the province；
2-2-2) the active transmission limit constraints of circuit inside the province：
Wherein, flIt is the active transmission limit of circuit l inside the province,It is transfer point of the node where generating set i to circuit l The cloth factor,It is the transfer distribution factor of interconnection node j to circuit l,Be load bus k to circuit l transfer distribution because Son；
2-2-3) unit output bound constraints：
Wherein, piIt is the minimum technology output of unit i,It is the active power output upper limit of unit i；
2-2-4) the active transmission limit constraints of interconnection：
Wherein,It is active transmission limit of the drop point in the interconnection of node j, ujIt is interconnection of the drop point in node j Power transmission direction ,+1 indicates to send out power, and -1 indicates power；
2-2) by step 2-1) in constraints (1) to (4) determines is to become with unit output inside the province and dominant eigenvalues The feasible zone of amount is projected as the exchange power-efficient domain model about dominant eigenvalues, and expression formula is as follows：
Wherein,It is the column vector that generating set active power output is constituted,It is Interconnection node sends out the column vector that active power is constituted, and Ω is formula (1) to (4) determination about pGAnd pBFeasible zone, i.e.,：
3) use vertex successively searching method solution procedure 2) in the exchange power-efficient domain model that builds, obtain towards across The security constraint boundary inside the province of area's transprovincially electricity transaction；It is as follows：
3-1) initialize vertex set；
Along pBEach dimension calculate Φ initial vertax, wherein the initial vertax of Φ is denoted as v in m-th of dimensionm, m ∈ {1,2,…NB, vmComponentIt is calculated as follows：
The N that will be calculatedBA initial vertax constitutes setThen V0For the vertex of initialization Set V, i.e. V=V0；
3-2) calculate the convex closure on vertex；
The convex closure on vertex in V is calculated, obtained polyhedron is P=conv (V), the collection of all surface composition of polyhedron P Be combined into F=..., fk..., fkFor k-th of surface of P；
It is empty set that 3-3) initialization, which improves duration set G, enables k=1, is searched for into internal layer；
3-4) for k-th of surface f of Pk, enable fkVertex set befkThe equation of place hyperplane is denoted asWhereinFor H (fk) normal vector transposition, then fkCorresponding vertex search solves as follows Optimized model：
To model solution shown in formula (8), obtained optimal vertex is denoted as vk, optimal value is denoted as
Define the amount of the being relatively improved Δ g of searchkFor H (f in search processk) opposite origin displacement distance, then Δ gkIt calculates Expression formula is as follows：
3-5) judgment step 3-4) obtained optimal vertex vkWhether it is effective vertex, is as follows：
3-5-1) calculateThe cone on middle vertex combines
3-5-2) respectively to step 3-4) obtained vkWith Δ gkIt is examined as follows：
3-5-2-1) examine vkWhetherIt is internal；
3-5-2-2) examine Δ gkWhether 0 is more than；
If vkWith Δ gkIt is examined by corresponding, then enters step 3-6)；Otherwise, 3-8 is entered step)；
3-6) by vkIncrease into vertex set V, update vertex set V；
3-7) by Δ gkIncrease into improvement duration set G, retrofit duration set G；
3-8) judge whether to perform step 3-4 to all surface in F) to 3-7) internal layer search：If so, into 3-9)；Otherwise, k=k+1 is enabled, step 3-4 is returned to), next surface is chosen from F executes internal layer search；
3-9) judge improving duration set G：If improving maximum element in duration set G to be less than in preset error Limit, then the convex closure of the node set V obtained is the vertex exchange power-efficient domain that successively searching method obtains, and is expressed as a system Row are about pBLinear inequality constraint：
Wherein βkIt is the right-hand vector of k-th of inequality constraints；
The boundary of security constraint inside the province equivalence generation towards transregional electricity transaction transprovincially finishes；
Otherwise, return to step 3-2), restart outer layer search.
The features of the present invention and advantageous effect：
Operation of Electric Systems security constraint equivalence complicated, high-dimensional inside the province is about Tie line Power by this method The constraint of simple, low dimensional so that can fully consider operation constraint inside the province in transregional transaction, promote electricity market and electric system The safety of operation has higher practical value.
Description of the drawings
Fig. 1 is the flow of the value generation methods such as the boundary of security constraint inside the province towards transregional electricity transaction transprovincially of the present invention Block diagram.
Fig. 2 is the flow diagram for exchanging power-efficient domain in the present invention by vertex successively searching method solution.
Specific implementation mode
The value generation methods such as the security constraint inside the province boundary proposed by the present invention towards transregional electricity transaction transprovincially, are tied below Close the further details of explanation of the drawings and the specific embodiments；It should be appreciated that the specific embodiments described herein can be used to It explains the present invention, but does not limit the present invention.
The value generation methods such as the security constraint inside the province boundary proposed by the present invention towards transregional electricity transaction transprovincially, bulk flow Journey is as shown in Figure 1, this approach includes the following steps：
1) Operation of Electric Systems basic data inside the province is obtained；
The basic data of Operation of Electric Systems inside the province includes：Booting unit minimum technology is contributed inside the province, be switched on machine inside the province The power flow transfer distribution factor of the group active power output upper limit, the inside the province active transmission limit of circuit, inside the province power grid；
2) electric system exchanges power-efficient domain model with outer net to structure inside the province；It is as follows：
The Operation of Electric Systems security constraints inside the province based on DC power flow 2-1) are built, it is as follows respectively：
2-2-1) power-balance constraint condition inside the province：
Wherein,It is the active power output of generating set i inside the province,It is the wattful power that drop point is transmitted in the interconnection of node j Rate,It is the burden with power of load bus k, NGIt is the generating set number being switched on inside the province, NBIt is interconnection interstitial content inside the province, NDIt is load bus number inside the province；
2-2-2) the active transmission limit constraints of circuit inside the province：
Wherein, flIt is the active transmission limit of circuit l inside the province,It is transfer point of the node where generating set i to circuit l The cloth factor,It is the transfer distribution factor of interconnection node j to circuit l,Be load bus k to circuit l transfer distribution because Son；
2-2-3) unit output bound constraints：
Wherein, piIt is the minimum technology output of unit i,It is the active power output upper limit of unit i；
2-2-4) the active transmission limit constraints of interconnection：
Wherein,It is active transmission limit of the drop point in the interconnection of node j, ujIt is interconnection of the drop point in node j Power transmission direction ,+1 indicates to send out power, and -1 indicates power；
2-2) by step 2-1) in constraints (1) to (4) determines is to become with unit output inside the province and dominant eigenvalues The feasible zone of amount is projected as the exchange power-efficient domain model about dominant eigenvalues, and expression formula is as follows：
Wherein,It is the column vector that generating set active power output is constituted,It is Interconnection node sends out the column vector that active power is constituted, and Ω is formula (1) to (4) determination about pGAnd pBFeasible zone, i.e.,：
3) use vertex successively searching method solution procedure 2) in the exchange power-efficient domain model that builds, obtain towards across The security constraint boundary inside the province of area's transprovincially electricity transaction；
Consider Operation of Electric Systems security constraint inside the province to be embedded in transregional transaction, needs to precalculate each province and pass through connection Winding thread exchanges the feasible zone of power.It proposes to throw Operation of Electric Systems security constraint feasible zone inside the province for this purpose, the present invention is original Shadow is the feasible zone about Tie line Power, this process is in the nature to solve higher-dimension polyhedric projection problem.Classical throwing Shadow algorithm, such as Fourier eliminates, block eliminates, equation collection, it is only effective to low-dimensional problem, and algorithm nothing before obtaining accurately solving Method terminates in advance.And calculate exchange power-efficient domain engineering in practice, be usually only necessary to an approximate solution for meeting precision, It is required that method for solving can in advance terminate after reaching required precision, obtain a conservative approximate solution.Vertex successively searching method Including two layers of cyclic search, wherein internal layer search refer to will have polyhedral each surface translate outward, search for exchange power can The new summit of row domain Φ；Outer layer search refer to by the new summit that finds of internal layer search be added the new polyhedron of vertex set, structure, Internal layer search is executed again；Overall flow is as shown in Fig. 2, successively searching method is as follows on vertex：
3-1) initialize vertex set；
Along pBEach dimension calculate Φ initial vertax, wherein m-th of dimension (m ∈ { 1,2 ... NB) on Φ just Beginning vertex is denoted as vm, vmComponentIt is calculated as follows：
The N that will be calculatedBA initial vertax constitutes setThen V0For the vertex of initialization Set V, i.e. V=V0；
3-2) calculate the convex closure on vertex；
The convex closure on vertex in V is calculated, obtained polyhedron is P=conv (V), the collection of all surface composition of polyhedron P Be combined into F=..., fk..., fkFor k-th of surface of P；
It is empty set that 3-3) initialization, which improves duration set G, enables k=1, is searched for into internal layer；
3-4) for k-th of surface f of Pk, enable fkVertex set befkThe equation of place hyperplane is denoted asWhereinFor H (fk) outer normal vector transposition, then fkCorresponding vertex search solves such as Lower Optimized model：
To model solution shown in formula (8), obtained optimal vertex is denoted as vk, optimal value is denoted as
Define the amount of the being relatively improved Δ g of searchkFor H (f in search processk) with respect to the displacement distance of origin, it is noted that H (fk) right-hand vector of equation normalized, then Δ gkIt can be calculate by the following formula：
3-5) judgment step 3-4) obtained optimal vertex vkWhether it is effective vertex, is as follows：
3-5-1) calculated by ripe algorithm (such as Primal Frame)The cone on middle vertex combines
3-5-2) respectively to step 3-4) obtained vkWith Δ gkIt is examined as follows：
3-5-2-1) examine vkWhetherInternal (being free of boundary)；
3-5-2-2) examine Δ gkWhether more than 0 (Δ g can determine whether in numerical computationskWhether programming used data class is more than The precision of type)；
If vkWith Δ gkIt is examined by corresponding, then enters step 3-6)；Otherwise, 3-8 is entered step)；
3-6) by vkIncrease into vertex set V, updates vertex set and V；
3-7) by Δ gkIncrease into improvement duration set G, retrofit duration set G；
3-8) judge whether to perform step 3-4 to all surface in F) to 3-7) internal layer search：If so, into 3-9)；Otherwise, k=k+1 is enabled, step 3-4 is returned to), next surface is chosen from F executes internal layer search；
3-9) judge improving duration set G：If improving maximum element in duration set G is less than the preset error upper limit (according to accuracy requirement can between 0~10% value, take 0 accurate to solve), then the convex closure of the node set V obtained is to push up The point exchange power-efficient domain that successively searching method obtains, is expressed as a series of about pBLinear inequality constraint：
Wherein βkIt is the right-hand vector of k-th of inequality constraints；
The boundary of security constraint inside the province equivalence generation towards transregional electricity transaction transprovincially finishes；
Otherwise, return to step 3-2), restart outer layer search.
Scheduling institution calculates the exchange power-efficient domain of this province according to the method for the present invention before the transaction of transregional province starts inside the province, The constraints being calculated is submitted into transregional province's action organisation mechanism；The exchange of each province is considered in transregional province's trading clearing Power-efficient domain, you can ensure that the dominant eigenvalues plan to be formed of merchandising of transregional province is that can execute, meet and pacify inside the province to each province Staff cultivation.

Claims (1)

1. value generation methods such as a kind of boundaries of security constraint inside the province towards transregional electricity transaction transprovincially, which is characterized in that the party Method includes the following steps：
1) Operation of Electric Systems basic data inside the province is obtained；
The basic data of Operation of Electric Systems inside the province includes：Booting unit minimum technology is contributed inside the province, booting unit has inside the province The power flow transfer distribution factor of the work(output upper limit, the inside the province active transmission limit of circuit, inside the province power grid；
2) electric system exchanges power-efficient domain model with outer net to structure inside the province；It is as follows：
The Operation of Electric Systems security constraints inside the province based on DC power flow 2-1) are built, it is as follows respectively：
2-2-1) power-balance constraint condition inside the province：
Wherein,It is the active power output of generating set i inside the province,It is the active power that drop point is transmitted in the interconnection of node j,It is the burden with power of load bus k, NGIt is the generating set number being switched on inside the province, NBIt is interconnection interstitial content inside the province, NDIt is Load bus number inside the province；
2-2-2) the active transmission limit constraints of circuit inside the province：
Wherein, flIt is the active transmission limit of circuit l inside the province,Be node where generating set i to circuit l transfer be distributed because Son,It is the transfer distribution factor of interconnection node j to circuit l,It is the transfer distribution factor of load bus k to circuit l；
2-2-3) unit output bound constraints：
Wherein,p iIt is the minimum technology output of unit i,It is the active power output upper limit of unit i；
2-2-4) the active transmission limit constraints of interconnection：
Wherein,It is active transmission limit of the drop point in the interconnection of node j, ujIt is power of the drop point in the interconnection of node j Transmission direction ,+1 indicates to send out power, and -1 indicates power；
2-2) by step 2-1) in constraints (1) to (4) determine using unit output inside the province and dominant eigenvalues as variable Feasible zone is projected as the exchange power-efficient domain model about dominant eigenvalues, and expression formula is as follows：
Wherein,It is the column vector that generating set active power output is constituted,It is contact Line node sends out the column vector that active power is constituted, and Ω is formula (1) to (4) determination about pGAnd pBFeasible zone, i.e.,：
3) use vertex successively searching method solution procedure 2) in the exchange power-efficient domain model that builds, obtain towards it is transregional across The security constraint boundary inside the province of electric power saving transaction；It is as follows：
3-1) initialize vertex set；
Along pBEach dimension calculate Φ initial vertax, wherein the initial vertax of Φ is denoted as v in m-th of dimensionm, m ∈ 1, 2,…NB, vmComponentIt is calculated as follows：
The N that will be calculatedBA initial vertax constitutes setThen V0For the vertex set of initialization V, i.e. V=V0；
3-2) calculate the convex closure on vertex；
The convex closure on vertex in V is calculated, obtained polyhedron is P=conv (V), and the collection that all surface of polyhedron P is constituted is combined into F =..., fk..., fkFor k-th of surface of P；
It is empty set that 3-3) initialization, which improves duration set G, enables k=1, is searched for into internal layer；
3-4) for k-th of surface f of Pk, enable fkVertex set befkThe equation of place hyperplane is denoted asWhereinFor H (fk) normal vector transposition, then fkCorresponding vertex search solves as follows Optimized model：
To model solution shown in formula (8), obtained optimal vertex is denoted as vk, optimal value is denoted as
Define the amount of the being relatively improved Δ g of searchkFor H (f in search processk) opposite origin displacement distance, then Δ gkCalculation expression Formula is as follows：
3-5) judgment step 3-4) obtained optimal vertex vkWhether it is effective vertex, is as follows：
3-5-1) calculateThe cone on middle vertex combines
3-5-2) respectively to step 3-4) obtained vkWith Δ gkIt is examined as follows：
3-5-2-1) examine vkWhetherIt is internal；
3-5-2-2) examine Δ gkWhether 0 is more than；
If vkWith Δ gkIt is examined by corresponding, then enters step 3-6)；Otherwise, 3-8 is entered step)；
3-6) by vkIncrease into vertex set V, update vertex set V；
3-7) by Δ gkIncrease into improvement duration set G, retrofit duration set G；
3-8) judge whether to perform step 3-4 to all surface in F) to 3-7) internal layer search：If so, into 3- 9)；Otherwise, k=k+1 is enabled, step 3-4 is returned to), next surface is chosen from F executes internal layer search；
3-9) judge improving duration set G：If improving maximum element in duration set G is less than the preset error upper limit, The convex closure of obtained node set V is the vertex exchange power-efficient domain that successively searching method obtains, and is expressed as a series of passes In pBLinear inequality constraint：
Wherein βkIt is the right-hand vector of k-th of inequality constraints；
The boundary of security constraint inside the province equivalence generation towards transregional electricity transaction transprovincially finishes；
Otherwise, return to step 3-2), restart outer layer search.
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