CN108847667B - Power transmission network extension planning method considering power grid structure optimization - Google Patents

Power transmission network extension planning method considering power grid structure optimization Download PDF

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CN108847667B
CN108847667B CN201810880261.5A CN201810880261A CN108847667B CN 108847667 B CN108847667 B CN 108847667B CN 201810880261 A CN201810880261 A CN 201810880261A CN 108847667 B CN108847667 B CN 108847667B
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power
transmission line
planning
power transmission
node
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CN108847667A (en
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孙东磊
李雪亮
郑志杰
刘晓明
张�杰
杨金洪
曾军
杨思
李文博
杨波
王轶群
杨斌
杨扬
李兆飞
刘志敬
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State Grid Corp of China SGCC
Economic and Technological Research Institute of State Grid Shandong Electric Power Co Ltd
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State Grid Corp of China SGCC
Economic and Technological Research Institute of State Grid Shandong Electric Power Co Ltd
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    • H—ELECTRICITY
    • H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J3/00—Circuit arrangements for ac mains or ac distribution networks
    • 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
    • G06Q10/00—Administration; Management
    • G06Q10/06—Resources, workflows, human or project management; Enterprise or organisation planning; Enterprise or organisation modelling
    • G06Q10/063—Operations research, analysis or management
    • G06Q10/0631—Resource planning, allocation, distributing or scheduling for enterprises or organisations
    • G06Q10/06315—Needs-based resource requirements planning or analysis
    • 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
    • H—ELECTRICITY
    • H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J2203/00—Indexing scheme relating to details of circuit arrangements for AC mains or AC distribution networks
    • H02J2203/20—Simulating, e g planning, reliability check, modelling or computer assisted design [CAD]
    • H—ELECTRICITY
    • H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J3/00—Circuit arrangements for ac mains or ac distribution networks
    • H02J3/003—Load forecast, e.g. methods or systems for forecasting future load demand
    • 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 invention discloses a power transmission network extension planning method considering power grid structure optimization, which comprises the following steps: and planning a load predicted value in a time period, a power supply planning scheme in the time period and a power grid element and path scheme which are candidate for power grid planning according to the current power grid element parameters. And constructing an optimization model, wherein the optimization model takes the sum of the investment cost and the power generation cost of the power transmission network planning in the minimum planning period as a target and comprises constraint conditions. And converting the constraint conditions in the optimization model into a mixed integer linear programming model easy to solve, and solving the optimization model by adopting a mixed integer linear programming method to obtain a final power transmission network expansion planning scheme considering the optimization of the power network structure. The method can be used for power transmission network planning decision, is beneficial to promoting coordination of power network planning and operation, and improves the accuracy of a power network planning scheme; the method can realize coordinated optimization of the power grid planning cost and the operation cost, is beneficial to promoting lean management of power grid planning, and improves the economy of power grid planning investment.

Description

Power transmission network extension planning method considering power grid structure optimization
Technical Field
The invention relates to the technical field of power grid planning, in particular to a power transmission network extension planning method considering power grid structure optimization.
Background
The power grid planning is to pre-arrange a power grid development and construction scheme within a prospective time period based on a medium-long term load prediction and power supply planning scheme so as to meet the load increase demand. With the continuous promotion of power system innovation, source load balance trading modes in a power system are complex and changeable, source load distribution tends to be unbalanced day by day, and how a power grid supporting source load balance develops is a problem worthy of attention.
In the traditional power grid planning, the current power grid structure is generally considered to be unchanged in the decision process, the decision is made whether a candidate planning power transmission element is put into operation or not, and the method of optimizing an incremental power grid only and neglecting the flexibility of current power grid structure adjustment has conservatism and is not beneficial to realizing the economy of power grid planning investment.
Disclosure of Invention
The invention aims to provide a power transmission network expansion planning method considering power grid structure optimization, which considers the flexibility of power grid structure adjustment in power grid planning optimization decision, considers power grid topology correction control under the accident condition, constructs a power transmission network expansion planning model considering power grid structure optimization, and is suitable for power transmission network expansion optimization planning under source-load diversified development.
In order to achieve the purpose, the invention adopts the following technical scheme:
a power transmission network extension planning method considering power grid structure optimization comprises the following steps:
constructing an optimization model, wherein the optimization model takes the sum of the planning investment cost and the power generation cost of the power transmission network in the minimum planning period as a target and comprises constraint conditions;
and converting the constraint conditions in the optimization model into a mixed integer linear programming model easy to solve, and solving the optimization model by adopting a mixed integer linear programming method to obtain a final power transmission network expansion planning scheme considering the optimization of the power network structure.
Further, before the step of constructing the optimization model, the method further comprises:
and planning a load predicted value in a time period, a power supply planning scheme in the time period and a power grid element and path scheme which are candidate for power grid planning according to the current power grid element parameters.
Further, the objective function expression of the optimization model is as follows:
Figure GDA0003204049620000021
in the formula, NTIs a divided set of load periods; n is a radical ofGIs a generator set; n is a radical ofLThe method comprises the steps of (1) collecting power transmission line corridors;
Figure GDA0003204049620000022
outputting active power for the generator g in a time period t; cgIs the linear cost coefficient of the generator g; tau istIs the duration of the loading period t; clInvestment cost for single circuit line of the power transmission line corridor l; n islAnd (4) the number of the transmission lines which are candidate to be expanded for the transmission line corridor l.
Further, the constraints include:
1) and (3) restricting the upper limit and the lower limit of active power of the generator set:
Figure GDA0003204049620000023
in the formula:
Figure GDA0003204049620000024
and
Figure GDA0003204049620000025
the active power upper and lower limits of the generator g are respectively;
2) node power balance constraint:
Figure GDA0003204049620000026
wherein the content of the first and second substances,
Figure GDA0003204049620000027
for the transmission active power of the power transmission line on the power transmission line corridor l in the load time period t, the first node and the last node are a node i and a node j respectively; n is a radical ofS,iAnd NE,iThe transmission line corridor sets take the node i as a head node and a tail end node respectively; n is a radical ofG,iAnd ND,iRespectively representing a generator set and a load set on a node i;
Figure GDA0003204049620000028
the active load is the size of the active load in the time period t;
3) transmission capacity constraint of the transmission line:
Figure GDA0003204049620000029
Figure GDA00032040496200000210
wherein, BlThe susceptance of a single-circuit power transmission line is a power transmission corridor;
Figure GDA00032040496200000211
the maximum transmission capacity of a single-circuit transmission line of a transmission corridor l;
Figure GDA00032040496200000212
a voltage phase angle of a node i in a load time period;
Figure GDA00032040496200000213
the voltage phase angle of a node j in a load time period;
Figure GDA00032040496200000214
the original transmission line number n of the line corridorlThe number of the transmission lines which are candidate to be expanded for the line corridor l; n islIs a positive integer variable;
Figure GDA0003204049620000031
the number of the power transmission lines of the power transmission line corridor l which are disconnected in the load time period t when the power grid structure is optimized is considered;
Figure GDA0003204049620000032
is a non-negative integer variable;
4) the method comprises the following steps that N-1, the upper limit and the lower limit of the active power of a generator are constrained under the condition of an expected accident:
Figure GDA0003204049620000033
in the formula: n is a radical ofKIs an expected accident set; the superscript (k) marks the accident operating state k,
Figure GDA0003204049620000034
representing the active power output by the generator g in the stage t under the expected accident k;
5) n-1 transmission capacity constraint of the transmission line under the condition of anticipated accidents:
Figure GDA0003204049620000035
Figure GDA0003204049620000036
in the formula:
Figure GDA0003204049620000037
to anticipate the transmission active power of the transmission line in the transmission line corridor l at the loading period t in the accident k,
Figure GDA0003204049620000038
a voltage phase angle of a t node i in a load time period under an expected accident k;
Figure GDA0003204049620000039
the number of the power transmission lines of the power transmission line corridor l which are disconnected in the load time t under the expected accident k when the power grid structure is optimized is considered;
Figure GDA00032040496200000310
in order to predict whether the transmission line in the transmission line corridor l stops running under the accident k, the transmission line corridor l is a binary integer variable,
Figure GDA00032040496200000311
indicating that the power line corridor l has a line outage in the expected accident k,
Figure GDA00032040496200000312
the fact that no line of the power transmission line corridor l stops running under the expected accident k is shown;
6) n-1 node power balance constraint under the condition of an expected accident:
Figure GDA00032040496200000313
7) the maximum extensible transmission line number of the transmission line corridor is restrained:
Figure GDA00032040496200000314
wherein the content of the first and second substances,
Figure GDA00032040496200000315
the maximum number of extensible lines for the power transmission line corridor l;
8) node voltage phase angle constraint:
Figure GDA00032040496200000316
9) n-1 node voltage phase angle constraint under the expected accident condition:
Figure GDA0003204049620000041
10) the allowable breaking number of the transmission line is restricted:
Figure GDA0003204049620000042
Figure GDA0003204049620000043
Figure GDA0003204049620000044
Figure GDA0003204049620000045
wherein the content of the first and second substances,
Figure GDA0003204049620000046
representing the maximum allowable number of open power transmission lines in the load time period t;
Figure GDA0003204049620000047
representing the maximum allowable number of open transmission lines in the load period t under the expected accident k.
Further, the converting the constraint conditions in the optimization model into the mixed integer linear programming model easy to solve includes splitting the formula (4) into a plurality of parallel transmission line expressions and splitting the formula (7) into a plurality of parallel transmission line expressions, and then converting the expressions into mixed integer linear constraint expressions easy to solve by a large M method, that is:
Figure GDA0003204049620000048
wherein the content of the first and second substances,
Figure GDA0003204049620000049
the method comprises the following steps of (1) providing an active power flow of an original power transmission line in a power transmission line corridor l in a load time period t;
Figure GDA00032040496200000410
the active power flow of the power transmission line e which is expanded for the power transmission line corridor l candidate;
Figure GDA00032040496200000411
in the form of a binary variable, the variable,
Figure GDA00032040496200000412
representing the planned extension line e of the transmission line corridor l,
Figure GDA00032040496200000413
indicating that the candidate expanded transmission line e of the transmission line corridor l is not in the planning construction range; m is an infinite normal number;
Figure GDA0003204049620000051
wherein the content of the first and second substances,
Figure GDA0003204049620000052
the active power flow of the original power transmission line of the power transmission line corridor l in the load time period t under the expected accident k is obtained;
Figure GDA0003204049620000053
and (4) the active power flow of the transmission line e which is expanded as a candidate of the transmission line corridor l under the expected accident k.
The effect provided in the summary of the invention is only the effect of the embodiment, not all the effects of the invention, and one of the above technical solutions has the following advantages or beneficial effects:
the method can be used for power transmission network planning decision, is favorable for promoting coordination of power network planning and operation, and improves the accuracy of a power network planning scheme; the method can realize coordinated optimization of the power grid planning cost and the operation cost, is beneficial to promoting lean management of power grid planning, and improves the economy of power grid planning investment.
Drawings
FIG. 1 is a schematic of the present invention.
Detailed Description
In order to clearly explain the technical features of the present invention, the following detailed description of the present invention is provided with reference to the accompanying drawings. The following disclosure provides many different embodiments, or examples, for implementing different features of the invention. To simplify the disclosure of the present invention, the components and arrangements of specific examples are described below. Furthermore, the present invention may repeat reference numerals and/or letters in the various examples. This repetition is for the purpose of simplicity and clarity and does not in itself dictate a relationship between the various embodiments and/or configurations discussed. It should be noted that the components illustrated in the figures are not necessarily drawn to scale. Descriptions of well-known components and processing techniques and procedures are omitted so as to not unnecessarily limit the invention.
As shown in fig. 1, a power transmission network extension planning method considering grid structure optimization includes the following steps:
and S1, planning a load predicted value in a time period, a power supply planning scheme in the time period and a power grid element and path scheme candidate for power grid planning according to the current power grid element parameters.
And S2, constructing an optimization model, wherein the optimization model takes the sum of the investment cost and the power generation cost of the power transmission network planning in the minimum planning period as a target and comprises constraint conditions.
And S3, converting the constraint conditions in the optimization model into a mixed integer linear programming model easy to solve, and solving the optimization model by adopting a mixed integer linear programming method to obtain a final power transmission network expansion planning scheme considering the optimization of the power grid structure.
The objective function expression in the optimization model of step S2 is:
Figure GDA0003204049620000061
in the formula, NTIs a divided set of load periods; n is a radical ofGIs a generator set; n is a radical ofLThe method comprises the steps of (1) collecting power transmission line corridors;
Figure GDA0003204049620000062
outputting active power for the generator g in a time period t; cgIs the linear cost coefficient of the generator g; tau istIs the duration of the loading period t; clInvestment cost for single circuit line of the power transmission line corridor l; n islAnd (4) the number of the transmission lines which are candidate to be expanded for the transmission line corridor l.
The optimization model of step S2 includes the following 10 types of constraints:
1) upper and lower limit constraints of active power of generator set
Figure GDA0003204049620000063
In the formula:
Figure GDA0003204049620000064
andP grespectively the upper and lower limits of the active power of the generator g.
2) Node power balance constraints;
Figure GDA0003204049620000065
wherein the content of the first and second substances,
Figure GDA0003204049620000066
for the transmission active power of the power transmission line on the power transmission line corridor l in the load time period t, the first node and the last node are a node i and a node j respectively; n is a radical ofS,iAnd NE,iThe transmission line corridor sets take the node i as a head node and a tail end node respectively; n is a radical ofG,iAnd ND,iRespectively representing a generator set and a load set on a node i;
Figure GDA0003204049620000067
is the size of the active load in the time period t.
3) Transmission capacity constraint of the transmission line;
Figure GDA0003204049620000071
Figure GDA0003204049620000072
wherein, BlThe susceptance of a single-circuit power transmission line is a power transmission corridor;
Figure GDA0003204049620000073
a voltage phase angle of a node i in a load time period;
Figure GDA0003204049620000074
the voltage phase angle of a node j in a load time period;
Figure GDA0003204049620000075
the original transmission line number n of the line corridorlThe number of the transmission lines which are candidate to be expanded for the line corridor l; n islIs a positive integer variable;
Figure GDA0003204049620000076
the number of the power transmission lines of the power transmission line corridor l which are disconnected in the load time period t when the power grid structure is optimized is considered;
Figure GDA0003204049620000077
is a non-negative integer variable.
4) N-1 generating the active power upper and lower limit constraints under the expected accident condition;
Figure GDA0003204049620000078
in the formula: n is a radical ofKIs an expected accident set; the superscript (k) marks the accident operating state k,
Figure GDA0003204049620000079
and the active power output by the generator g in the stage t under the expected accident k is shown.
5) N-1 transmission capacity constraint of the transmission line under the expected accident condition;
Figure GDA00032040496200000710
Figure GDA00032040496200000711
in the formula:
Figure GDA00032040496200000712
to anticipate the transmission active power of the transmission line in the transmission line corridor l at the loading period t in the accident k,
Figure GDA00032040496200000713
a voltage phase angle of a t node i in a load time period under an expected accident k;
Figure GDA00032040496200000714
the number of the power transmission lines of the power transmission line corridor l which are disconnected in the load time t under the expected accident k when the power grid structure is optimized is considered;
Figure GDA00032040496200000715
in order to predict whether the transmission line in the transmission line corridor l stops running under the accident k, the transmission line corridor l is a binary integer variable,
Figure GDA00032040496200000716
indicating that the power line corridor l has a line outage in the expected accident k,
Figure GDA00032040496200000717
indicating that the power transmission line corridor l is not off line in the expected accident k.
6) N-1 node power balance constraint under the expected accident condition;
Figure GDA00032040496200000718
7) the maximum extensible transmission line number of the transmission line corridor is restrained;
Figure GDA0003204049620000081
wherein the content of the first and second substances,
Figure GDA0003204049620000082
the maximum number of the extensible lines is the transmission line corridor l.
8) Node voltage phase angle constraint:
Figure GDA0003204049620000083
9) n-1 node voltage phase angle constraint under the expected accident condition:
Figure GDA0003204049620000084
10) the allowable breaking number of the transmission line is restricted:
Figure GDA0003204049620000085
Figure GDA0003204049620000086
Figure GDA0003204049620000087
Figure GDA0003204049620000088
wherein the content of the first and second substances,
Figure GDA0003204049620000089
representing the maximum allowable number of open power transmission lines in the load time period t;
Figure GDA00032040496200000810
representing the maximum allowable number of open transmission lines in the load period t under the expected accident k.
And S3, processing the mixed integer nonlinear constraint in the optimization model, converting the mixed integer nonlinear constraint into a mixed integer linear programming model easy to solve, and solving the optimization model by adopting a mixed integer linear programming method to obtain a final power transmission network extension planning scheme considering the optimization of the power grid structure.
The formula (22) is split into expressions of a plurality of parallel transmission lines (the single transmission line is regarded as a negative impedance line), and then the expressions are converted into mixed integer linear constraint expressions which are easy to solve through a large M method, namely:
Figure GDA00032040496200000811
wherein the content of the first and second substances,
Figure GDA0003204049620000091
the method comprises the following steps of (1) providing an active power flow of an original power transmission line in a power transmission line corridor l in a load time period t;
Figure GDA0003204049620000092
the active power flow of the power transmission line e which is expanded for the power transmission line corridor l candidate;
Figure GDA0003204049620000093
in the form of a binary variable, the variable,
Figure GDA0003204049620000094
representing the planned extension line e of the transmission line corridor l,
Figure GDA0003204049620000095
indicating that the candidate expanded transmission line e of the transmission line corridor l is not in the planning construction range; m is a very large normal number;
similarly, the formula (25) is split into a plurality of parallel transmission line expressions, and then the parallel transmission line expressions are converted into mixed integer linear constraint expressions which are easy to solve through a large M method, namely:
Figure GDA0003204049620000096
wherein the content of the first and second substances,
Figure GDA0003204049620000097
the active power flow of the original power transmission line of the power transmission line corridor l in the load time period t under the expected accident k is obtained;
Figure GDA0003204049620000098
to prepareAnd (4) active power flow of the transmission line e which is expanded in the transmission line corridor l candidate under the thought accident k.
Although the embodiments of the present invention have been described with reference to the accompanying drawings, it is not intended to limit the scope of the present invention, and it should be understood by those skilled in the art that various modifications and variations can be made without inventive efforts by those skilled in the art based on the technical solution of the present invention.

Claims (3)

1. A power transmission network extension planning method considering power grid structure optimization is characterized by comprising the following steps:
constructing an optimization model, wherein the optimization model takes the sum of the planning investment cost and the power generation cost of the power transmission network in the minimum planning period as a target and comprises constraint conditions; wherein, the objective function expression of the optimization model is as follows:
Figure FDA0003204049610000011
in the formula, NTIs a divided set of load periods; n is a radical ofGIs a generator set; n is a radical ofLThe method comprises the steps of (1) collecting power transmission line corridors;
Figure FDA0003204049610000012
outputting active power for the generator g in a time period t; cgIs the linear cost coefficient of the generator g; tau istIs the duration of the loading period t; clInvestment cost for single circuit line of the power transmission line corridor l; n islThe number of the transmission lines which are candidate for expansion of the transmission line corridor l;
wherein the constraint condition comprises:
1) and (3) restricting the upper limit and the lower limit of active power of the generator set:
Figure FDA0003204049610000013
in the formula:
Figure FDA0003204049610000014
andP gthe active power upper and lower limits of the generator g are respectively;
2) node power balance constraint:
Figure FDA0003204049610000015
wherein the content of the first and second substances,
Figure FDA0003204049610000016
for the transmission active power of the power transmission line on the power transmission line corridor l in the load time period t, the first node and the last node are a node i and a node j respectively; n is a radical ofS,iAnd NE,iThe transmission line corridor sets take the node i as a head node and a tail end node respectively; n is a radical ofG,iAnd ND,iRespectively representing a generator set and a load set on a node i;
Figure FDA0003204049610000017
the active load is the size of the active load in the time period t;
3) transmission capacity constraint of the transmission line:
Figure FDA0003204049610000018
Figure FDA0003204049610000019
wherein, BlThe susceptance of a single-circuit power transmission line is a power transmission corridor;
Figure FDA00032040496100000110
a voltage phase angle of a node i in a load time period;
Figure FDA0003204049610000021
the voltage phase angle of a node j in a load time period;
Figure FDA0003204049610000022
the original transmission line number n of the line corridorlThe number of the transmission lines which are candidate to be expanded for the line corridor l; n islIs a positive integer variable;
Figure FDA0003204049610000023
the number of the power transmission lines of the power transmission line corridor l which are disconnected in the load time period t when the power grid structure is optimized is considered;
Figure FDA0003204049610000024
is a non-negative integer variable;
4) the method comprises the following steps that N-1, the upper limit and the lower limit of the active power of a generator are constrained under the condition of an expected accident:
Figure FDA0003204049610000025
in the formula: n is a radical ofKIs an expected accident set; the superscript (k) marks the accident operating state k,
Figure FDA0003204049610000026
representing the active power output by the generator g in the stage t under the expected accident k;
5) n-1 transmission capacity constraint of the transmission line under the condition of anticipated accidents:
Figure FDA0003204049610000027
Figure FDA0003204049610000028
in the formula:
Figure FDA0003204049610000029
to anticipate the transmission active power of the transmission line in the transmission line corridor l at the loading period t in the accident k,
Figure FDA00032040496100000210
a voltage phase angle of a t node i in a load time period under an expected accident k;
Figure FDA00032040496100000211
the number of the power transmission lines of the power transmission line corridor l which are disconnected in the load time t under the expected accident k when the power grid structure is optimized is considered;
Figure FDA00032040496100000212
in order to predict whether the transmission line in the transmission line corridor l stops running under the accident k, the transmission line corridor l is a binary integer variable,
Figure FDA00032040496100000213
indicating that the power line corridor l has a line outage in the expected accident k,
Figure FDA00032040496100000214
the fact that no line of the power transmission line corridor l stops running under the expected accident k is shown;
6) n-1 node power balance constraint under the condition of an expected accident:
Figure FDA00032040496100000215
7) the maximum extensible transmission line number of the transmission line corridor is restrained:
Figure FDA00032040496100000216
wherein the content of the first and second substances,
Figure FDA00032040496100000217
the maximum number of extensible lines for the power transmission line corridor l;
8) node voltage phase angle constraint:
Figure FDA00032040496100000218
9) n-1 node voltage phase angle constraint under the expected accident condition:
Figure FDA0003204049610000031
10) the allowable breaking number of the transmission line is restricted:
Figure FDA0003204049610000032
Figure FDA0003204049610000033
Figure FDA0003204049610000034
Figure FDA0003204049610000035
wherein the content of the first and second substances,
Figure FDA0003204049610000036
representing the maximum allowable number of open power transmission lines in the load time period t;
Figure FDA0003204049610000037
representing the maximum allowable number of open and close transmission lines in the load time t under the expected accident k;
and converting the constraint conditions in the optimization model into a mixed integer linear programming model easy to solve, and solving the optimization model by adopting a mixed integer linear programming method to obtain a final power transmission network expansion planning scheme considering the optimization of the power network structure.
2. The method of claim 1, wherein said step of building an optimization model is preceded by the steps of:
and planning a load predicted value in a time period, a power supply planning scheme in the time period and a power grid element and path scheme which are candidate for power grid planning according to the current power grid element parameters.
3. The method of claim 1, wherein the converting the constraint conditions in the optimization model into the easy-to-solve mixed integer linear programming model comprises splitting equation (4) into a plurality of parallel transmission line expressions and equation (7) into a plurality of parallel transmission line expressions, and then respectively converting the expressions into the easy-to-solve mixed integer linear constraint expressions by a large M method, namely:
Figure FDA0003204049610000041
wherein, Pl 0(t)The method comprises the following steps of (1) providing an active power flow of an original power transmission line in a power transmission line corridor l in a load time period t;
Figure FDA0003204049610000042
the active power flow of the power transmission line e which is expanded for the power transmission line corridor l candidate;
Figure FDA0003204049610000043
in the form of a binary variable, the variable,
Figure FDA0003204049610000044
representing the planned extension line e of the transmission line corridor l,
Figure FDA0003204049610000045
indicating that the candidate expanded transmission line e of the transmission line corridor l is not in the planning construction range; m is an infinite normal number;
Figure FDA0003204049610000046
wherein, Pl 0(t,k)The active power flow of the original power transmission line of the power transmission line corridor l in the load time period t under the expected accident k is obtained;
Figure FDA0003204049610000047
and (4) the active power flow of the transmission line e which is expanded as a candidate of the transmission line corridor l under the expected accident k.
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