CN108847667B - Power transmission network extension planning method considering power grid structure optimization - Google Patents
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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
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:
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;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:
2) node power balance constraint:
wherein,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;the active load is the size of the active load in the time period t;
3) transmission capacity constraint of the transmission line:
wherein, BlThe susceptance of a single-circuit power transmission line is a power transmission corridor;the maximum transmission capacity of a single-circuit transmission line of a transmission corridor l;a voltage phase angle of a node i in a load time period;the voltage phase angle of a node j in a load time period;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;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;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:
in the formula: n is a radical ofKIs an expected accident set; the superscript (k) marks the accident operating state k,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:
in the formula: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,a voltage phase angle of a t node i in a load time period under an expected accident k;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;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,indicating that the power line corridor l has a line outage in the expected accident k,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:
7) the maximum extensible transmission line number of the transmission line corridor is restrained:
8) node voltage phase angle constraint:
9) n-1 node voltage phase angle constraint under the expected accident condition:
10) the allowable breaking number of the transmission line is restricted:
wherein,representing the maximum allowable number of open power transmission lines in the load time period t;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:
wherein,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;the active power flow of the power transmission line e which is expanded for the power transmission line corridor l candidate;in the form of a binary variable, the variable,representing the planned extension line e of the transmission line corridor l,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;
wherein,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;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.
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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:
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;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
In the formula:andP grespectively the upper and lower limits of the active power of the generator g.
2) Node power balance constraints;
wherein,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;is the size of the active load in the time period t.
3) Transmission capacity constraint of the transmission line;
wherein, BlThe susceptance of a single-circuit power transmission line is a power transmission corridor;a voltage phase angle of a node i in a load time period;the voltage phase angle of a node j in a load time period;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;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;is a non-negative integer variable.
4) N-1 generating the active power upper and lower limit constraints under the expected accident condition;
in the formula: n is a radical ofKIs an expected accident set; the superscript (k) marks the accident operating state k,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;
in the formula: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,a voltage phase angle of a t node i in a load time period under an expected accident k;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;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,indicating that the power line corridor l has a line outage in the expected accident k,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;
7) the maximum extensible transmission line number of the transmission line corridor is restrained;
8) Node voltage phase angle constraint:
9) n-1 node voltage phase angle constraint under the expected accident condition:
10) the allowable breaking number of the transmission line is restricted:
wherein,representing the maximum allowable number of open power transmission lines in the load time period t;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:
wherein,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;the active power flow of the power transmission line e which is expanded for the power transmission line corridor l candidate;in the form of a binary variable, the variable,representing the planned extension line e of the transmission line corridor l,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:
wherein,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;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:
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;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:
2) node power balance constraint:
wherein,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;the active load is the size of the active load in the time period t;
3) transmission capacity constraint of the transmission line:
wherein, BlThe susceptance of a single-circuit power transmission line is a power transmission corridor;a voltage phase angle of a node i in a load time period;the voltage phase angle of a node j in a load time period;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;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;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:
in the formula: n is a radical ofKIs an expected accident set; the superscript (k) marks the accident operating state k,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:
in the formula: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,a voltage phase angle of a t node i in a load time period under an expected accident k;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;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,indicating that the power line corridor l has a line outage in the expected accident k,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:
7) the maximum extensible transmission line number of the transmission line corridor is restrained:
8) node voltage phase angle constraint:
9) n-1 node voltage phase angle constraint under the expected accident condition:
10) the allowable breaking number of the transmission line is restricted:
wherein,representing the maximum allowable number of open power transmission lines in the load time period t;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:
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;the active power flow of the power transmission line e which is expanded for the power transmission line corridor l candidate;in the form of a binary variable, the variable,representing the planned extension line e of the transmission line corridor l,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;
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;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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