CN110445131B - Power transmission and distribution network coordinated planning method considering power distribution network equivalence optimization - Google Patents

Power transmission and distribution network coordinated planning method considering power distribution network equivalence optimization Download PDF

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CN110445131B
CN110445131B CN201910677333.0A CN201910677333A CN110445131B CN 110445131 B CN110445131 B CN 110445131B CN 201910677333 A CN201910677333 A CN 201910677333A CN 110445131 B CN110445131 B CN 110445131B
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distribution network
node
power distribution
power
network
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CN110445131A (en
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钟海旺
王剑晓
张广伦
何凯
陆春凌
夏清
康重庆
董晋喜
王佳伟
李强
王尧
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Tsinghua University
State Grid Corp of China SGCC
Economic and Technological Research Institute of State Grid Shanxi Electric Power Co Ltd
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Tsinghua University
State Grid Corp of China SGCC
Economic and Technological Research Institute of State Grid Shanxi 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
    • G06Q10/06—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
    • G06Q10/06313—Resource planning in a project environment
    • 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
    • H02J3/00—Circuit arrangements for ac mains or ac distribution networks
    • 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 provides a power transmission and distribution network coordinated planning method considering distribution network equivalence optimization, and belongs to the field of power system planning. The method carries out layered planning on the transmission and distribution network; establishing a power distribution network planning model for each power transmission network node comprising a power distribution network, and obtaining power distribution network net benefits corresponding to the total number of different power distribution network items and corresponding newly-added power distribution network loads through optimization calculation as boundary parameters of the power transmission network model; in the power transmission network model, the operation constraint of the power transmission network is established based on a direct current flow equation, a specific power distribution network investment scheme is optimally selected according to a planning result of the power distribution network under the constraint that the total investment of the power distribution network and the power transmission network is fixed, and an extension scheme of the power transmission network is determined. The invention carries out layered planning on the transmission and distribution network, improves the calculation efficiency, can obtain an effective transmission and distribution coordination planning scheme, and has very high application value.

Description

Power transmission and distribution network coordinated planning method considering power distribution network equivalence optimization
Technical Field
The invention relates to a power transmission and distribution network coordinated planning method considering distribution network equivalence optimization, and belongs to the field of power system planning.
Background
The power grid expansion planning is an important component of power system planning, and aims to meet the increasing load requirements of various industries of national economy, improve the power transmission capacity of a power grid and guarantee the safe operation of a power system. Because the transmission network and the distribution network have different network characteristics, the planning models are different.
Under the big background that the national comprehensive construction of a strong intelligent power grid which takes an extra-high voltage power grid as a backbone grid frame and coordinately develops all levels of power grids, the problems of coordinately developing and planning all levels of power grids need to be intensively researched.
In the existing research on coordinated planning of a transmission and distribution network, a distribution network planning model is generally put into a transmission network planning model for unified modeling, the obtained optimization model is a very complex mixed integer quadratic planning model, too many decision variables easily cause the problem of 'combined explosion', the direct integrated solution is difficult, and the method cannot be applied to actual engineering.
Disclosure of Invention
The invention aims to overcome the defects in the prior art and provides a power transmission and distribution network coordinated planning method considering distribution network equivalence optimization. The invention carries out layered planning on the transmission and distribution network, improves the calculation efficiency, can obtain an effective transmission and distribution coordination planning scheme, and has very high application value.
The invention provides a power transmission and distribution network coordinated planning method considering power distribution network equivalence optimization, which is characterized by comprising the following steps of:
(1) acquiring transmission network node set omega containing power distribution networkN(ii) a Wherein omegaNEach node in the network is a public node for connecting the power distribution network and the power transmission network;
(2) for any node x epsilon omegaNAnd acquiring the information of the corresponding power distribution network of the node, including: basic parameter information of the power distribution network, alternative line information of the power distribution network and item information to be selected;
(3) for the node x, the number M of items selected in sequence from the items to be selected is set to 0,1,2, …, Mx，MxRepresenting the upper limit of the number of selected items of the power distribution network corresponding to the node x, sequentially constructing and solving a power distribution network planning model corresponding to the node x under different selected item numbers to obtain a net income curve of the power distribution network corresponding to the node x and a newly added item load matrix in all time periods under different selected item numbers; the method comprises the following specific steps:
(3-1) making the total number m of the selected items equal to 0;
(3-2) constructing a power distribution network planning model, wherein the model consists of an objective function and constraint conditions; the method comprises the following specific steps:
(3-2-1) determining an objective function of the power distribution network planning model:
min(Invx-Revx)
in the formula, RevxShowing the net power selling income brought by the newly added project load to the power distribution network corresponding to the node x, InvxRepresents the cost of line commissioning;
(3-2-2) determining constraint conditions of the power distribution network planning model, specifically as follows:
revenue and investment constraints:
Figure GDA0002642652700000021
Figure GDA0002642652700000022
in the formula (I), the compound is shown in the specification,
Figure GDA0002642652700000023
the electricity price for purchasing electricity from the power transmission network for the t-th period of the power distribution network;
Figure GDA0002642652700000024
selling electricity price of the distribution network in the t-th time period; assuming that the set of items to be selected in the power distribution network corresponding to the node x is omega, and the load curve corresponding to each item to be selected is Lp,tP belongs to Ω, T is 1, T is a time interval, and T is a total time interval; the decision variable corresponding to each item is alphap0/1 variable; assuming that the set of alternative lines of the power distribution network corresponding to the project is KP(ii) a The investment cost corresponding to each alternative line is ck，k∈KP(ii) a The decision variable corresponding to each alternative line is uk0/1 variable;
and (3) controlling and constraining the total number of the power distribution network items:
Figure GDA0002642652700000025
the constraint conditions of the power distribution network planning model further comprise: line power Flow and current upper and lower limit constraints, Dist-Flow power Flow constraints, node power balance constraints, public node virtual power supply output control constraints and node voltage amplitude control constraints;
(3-3) solving the model established in the step (3-2) to obtain a corresponding optimal solution, wherein the optimal solution comprises the following steps: item set selected by node x corresponding to power distribution network
Figure GDA0002642652700000026
The node x corresponds to the electricity purchasing value Pg of the node x in each time period of the power distribution networkx,t,mT1, T, and node x correspond to net revenue of the distribution network
Figure GDA0002642652700000027
Pgx,t,mT1, i.e. the load of grid node x
Figure GDA0002642652700000028
(3-4) making M be M +1, then returning to the step (3-2) to update the power distribution network planning model and solve the updated model until M is MxObtaining a power distribution network planning model corresponding to the node x under different selected item numbers and an optimal solution corresponding to the power distribution network planning model;
(3-5) obtaining a net income curve of the power distribution network corresponding to the node x by using the result of the step (3-4), and recording the net income curve as a vector
Figure GDA0002642652700000029
Figure GDA00026426527000000210
The node x corresponding to the power distribution network forms a matrix Pg from the purchased power values of the node x in all periods under different selected item numbersx：
Figure GDA0002642652700000031
PgxEqual to the load matrix corresponding to all the time intervals of the transmission network node x under different selected item numbers
Figure GDA0002642652700000032
Figure GDA0002642652700000033
Wherein node x has an inherent load of
Figure GDA0002642652700000034
Obtaining a new item load matrix delta P of the distribution network corresponding to the node x in all time periods under different selected item numbersx：
Figure GDA0002642652700000035
(4) Node x from ΩNRemoving: omegaN＝ΩNX, determining ΩNWhether it is an empty set: if yes, entering the step (5); otherwise, returning to the step (2) again to obtain the value from omegaNSelecting a next node;
(5) acquiring power transmission network information, comprising: the method comprises the following steps of (1) basic parameter information of a power transmission network, alternative line information of the power transmission network and equivalent curve information corresponding to each power distribution network;
(6) constructing a power transmission network model and solving to obtain a project decision scheme of each node of the power transmission network corresponding to a power distribution network and a planning scheme of a power transmission network line; the method comprises the following specific steps:
(6-1) constructing a power grid model, wherein the model consists of an objective function and constraint conditions; the method comprises the following specific steps:
(6-1-1) determining an objective function of the power grid model:
Figure GDA0002642652700000036
in the formula, betax,mThe variable is 0-1, and m items of investment of the power distribution network corresponding to the selected node x are represented;
Figure GDA0002642652700000037
for the set of alternative lines of the transmission network,
Figure GDA0002642652700000038
a variable of 0-1 is set up for the line plan k;
Figure GDA0002642652700000039
the investment cost of the alternative line k for the power transmission network;
(6-1-2) determining constraint conditions of the power transmission network model, specifically as follows:
and power balance constraint:
Figure GDA00026426527000000310
in the formula (I), the compound is shown in the specification,
Figure GDA00026426527000000311
the output of the unit i in the t-th time period;
Figure GDA00026426527000000312
load increment formed by transferring the load of a newly-thrown project of the power distribution network to the power transmission network;
Figure GDA00026426527000000313
the set is a set on a node x; s (k) represents a head end node of the line k; r (k) represents an end node of line k;
Figure GDA00026426527000000314
is the power flow of the t-th time period of the line k;
and (3) total number constraint of the power distribution network investment scheme:
Figure GDA0002642652700000041
and (3) total investment restraint of the power distribution network:
Figure GDA0002642652700000042
in the formula, InvTotalInvesting a total amount for the power distribution network and the power transmission network;
the constraint conditions of the power transmission network model also comprise line power flow constraint, node voltage phase angle and generator output constraint;
(6-2) solving the model established in the step (6-1) to obtain a final power distribution network project decision scheme corresponding to each node of the power transmission network:
Figure GDA0002642652700000043
and the planning scheme of the transmission network line:
Figure GDA0002642652700000044
the invention has the characteristics and beneficial effects that:
the invention carries out layered planning on the transmission and distribution network; in the power distribution network planning model, operation constraints of a power distribution network are established based on a DistFlow power flow equation, and power distribution network net benefits (namely power distribution network planning equivalent curves) corresponding to different power distribution network project total numbers and corresponding newly-added power distribution network loads are obtained through optimization calculation and are used as boundary parameters of the power transmission network model; in the power transmission network model, the operation constraint of the power transmission network is established based on a direct current flow equation, a specific power distribution network investment scheme is optimally selected according to a planning result of the power distribution network under the constraint that the total investment of the power distribution network and the power transmission network is fixed, and an extension scheme of the power transmission network is determined.
The hierarchical planning mode greatly reduces the integral variable scale of the model on the premise of considering the project selection of the power distribution network; the solving efficiency is effectively improved, so that the transmission and distribution coordination planning scheme can be obtained in an effective time, and the method is convenient to apply to the field of actual engineering.
Detailed Description
The invention provides a power transmission and distribution network coordination planning method considering power distribution network equivalence optimization, and the invention is further described in detail below by combining specific embodiments.
The invention provides a power transmission and distribution network coordinated planning method considering distribution network equivalence optimization, which comprises the following steps of:
(1) acquiring transmission network node set omega containing power distribution networkN(ii) a Wherein omegaNEach node is a public node for connecting the power distribution network and the power transmission network, and the nodes are hung with the corresponding power distribution networks;
(2) for any node x epsilon omegaNAnd acquiring the power distribution network information corresponding to the node, wherein the method comprises the following steps: basic parameter information of the power distribution network (including unit, existing line and node load information), alternative line information of the power distribution network (including line parameters and investment amount), and information of items to be selected (node numbers corresponding to the items);
(3)for the node x, the number M of items selected in sequence from the items to be selected is set to 0,1,2, …, Mx(MxRepresenting the upper limit of the number of selected items of the power distribution network corresponding to the node x), sequentially constructing a power distribution network planning model corresponding to the node x under different selected item numbers and solving to obtain a net income curve of the power distribution network corresponding to the node x and a net income active item load matrix in all time periods under different selected item numbers;
assuming that the set of items to be selected in the power distribution network corresponding to the node x is omega, and the load curve corresponding to each item to be selected is Lp,tP ∈ Ω, T ═ 1., T (T is the period, T is the total number of periods). The decision variable corresponding to each item is alphapAnd is a 0/1 variable. Assuming that the set of alternative (to be newly built or modified) lines of the power distribution network corresponding to the project is KP(ii) a The investment cost corresponding to each alternative line is ck，k∈KP. The decision variable corresponding to each alternative line is uk0/1 variable;
because the invention adopts the idea of layered modeling of the transmission and distribution network, the transmission network and the distribution network need to be equivalently separated at a common node (node x) where the distribution network is connected with the transmission network: for a power transmission network, the common node is equivalent to the total load of a power distribution network, and for the power distribution network, the common node (namely the root node of the power distribution network) is equivalent to a virtual machine set to provide output for the power distribution network;
the method comprises the following specific steps:
(3-1) making the total number m of the selected items equal to 0;
(3-2) constructing a power distribution network planning model, wherein the model consists of an objective function and constraint conditions; the method comprises the following specific steps:
(3-2-1) determining an objective function of the power distribution network planning model as follows:
min(Invx-Revx)
the objective function represents the net cost minimization comprehensively considering the expansion cost of the power distribution network and the electricity selling income; wherein x represents a common node, RevxShowing the net power selling income brought by the newly added project load to the power distribution network corresponding to the node x, InvxRepresents the cost of line commissioning;
(3-2-2) determining constraint conditions of the power distribution network planning model, specifically as follows:
revenue and investment constraints:
Figure GDA0002642652700000051
Figure GDA0002642652700000052
in the formula (I), the compound is shown in the specification,
Figure GDA0002642652700000053
the electricity price for purchasing electricity from the power transmission network for the t-th time period of the power distribution network;
Figure GDA0002642652700000054
the price of the selling electricity in the t-th time period of the power distribution network.
And (3) controlling and constraining the total number of the power distribution network items:
Figure GDA0002642652700000055
in the formula, m is the total number of selected items of the power distribution network.
And the common distribution network model comprises line power Flow and current upper and lower limit constraints, Dist-Flow power Flow constraints, node power balance constraints, public node virtual power supply output control constraints and node voltage amplitude control constraints.
(3-3) solving the model established in the step (3-3);
the power distribution network model generated in the step (3-2) is an MIQCP (quadratic constraint mixed integer programming) model, the model is solved by using commercial optimization solving software CPLEX to obtain an optimal solution, and the optimal solution is an expansion scheme and a corresponding optimization result of corresponding power distribution network items and alternative lines, and is a function of m (the number of selected items): item set selected by node x corresponding to power distribution network
Figure GDA0002642652700000061
Node x corresponding power distributionPower purchase, i.e. virtual power supply output Pg from common node x in each period of the networkx,t,mT1.. T, i.e. the load of the grid common node x
Figure GDA0002642652700000062
And node x corresponds to net gain of the distribution network
Figure GDA0002642652700000063
(3-4) making M be M +1, then returning to the step (3-2) to update the power distribution network planning model and solve the updated model until M is MxObtaining a power distribution network planning model corresponding to the node x under different selected item numbers and an optimal solution corresponding to the power distribution network planning model;
(3-5) obtaining a net income curve of the power distribution network corresponding to the node x by using the result of the step (3-4), and recording the net income curve as a vector
Figure GDA0002642652700000064
Figure GDA0002642652700000065
The node x corresponding to the power distribution network forms a matrix Pg from the purchased power values of the node x in all periods under different selected item numbersx：
Figure GDA0002642652700000066
PgxEqual to the load matrix corresponding to all the time intervals of the transmission network node x under different selected item numbers
Figure GDA0002642652700000067
Figure GDA0002642652700000068
Wherein node x has an inherent load of
Figure GDA0002642652700000069
Obtaining a new item load matrix delta P of the distribution network corresponding to the node x in all time periods under different selected item numbersx：
Figure GDA00026426527000000610
(4) Node x from ΩNRemoving: omegaN＝ΩNX, determining ΩNWhether it is an empty set: if yes, entering the step (5); otherwise, returning to the step (2) again to obtain the value from omegaNAnd selecting the next node.
(5) Acquiring power transmission network information, comprising: basic parameter information of the transmission network (including unit, existing line and node load information), alternative line information of the transmission network (including line parameters and investment amount), and equivalent curve information corresponding to each distribution network;
(6) constructing a power transmission network model and solving to obtain a project decision scheme of each node of the power transmission network corresponding to a power distribution network and a planning scheme of a power transmission network line; the method comprises the following specific steps:
(6-1) constructing a power grid model, wherein the model consists of an objective function and constraint conditions; the method comprises the following specific steps:
(6-1-1) determining an objective function of the power grid model:
Figure GDA00026426527000000611
the objective function represents that net cost minimum comprehensively considering the net profit of power distribution network investment and the investment cost of the power transmission network (namely, the total cost of power transmission and distribution network extension is minimum). In the formula, betax,mThe variable is 0-1, and m items of investment of the power distribution network corresponding to the selected node x are represented;
Figure GDA0002642652700000071
for the set of alternative lines of the transmission network,
Figure GDA0002642652700000072
a variable of 0-1 is set up for the line plan k;
Figure GDA0002642652700000073
the investment cost of the alternative line k for the power transmission network;
(6-1-2) determining constraint conditions of the power transmission network model, specifically as follows:
and power balance constraint:
Figure GDA0002642652700000074
in the formula (I), the compound is shown in the specification,
Figure GDA0002642652700000075
the output of the unit i in the t-th time period;
Figure GDA0002642652700000076
representing a load increment formed by transferring the load of a newly-thrown project of the power distribution network to the power transmission network;
Figure GDA0002642652700000077
the set is a set on a node x; s (k) represents a head end node of the line k; r (k) represents an end node of line k;
Figure GDA0002642652700000078
is the power flow of the t-th period of the line k.
And (3) total number constraint of the power distribution network investment scheme:
Figure GDA0002642652700000079
the formula represents a combination scheme of a power distribution network project of the power transmission network planning, wherein at most, the x nodes are selected to correspond to the power distribution network.
And (3) total investment constraint of a distribution point power grid:
Figure GDA00026426527000000710
in the formula, InvTotalInvesting a total amount for the power distribution network and the power transmission network;
the constraint conditions of the power transmission network model also comprise line power flow constraint, node voltage phase angle and generator output constraint;
(6-2) solving the model established in the step (6-1) by using CPLEX to obtain a final power transmission network project decision scheme corresponding to each node:
Figure GDA00026426527000000711
and the planning scheme of the transmission network line:
Figure GDA00026426527000000712

Claims (1)

1. a power transmission and distribution network coordinated planning method considering power distribution network equivalence optimization is characterized by comprising the following steps:
(1) acquiring transmission network node set omega containing power distribution networkN(ii) a Wherein omegaNEach node in the network is a public node for connecting the power distribution network and the power transmission network;
(2) for any node x epsilon omegaNAnd acquiring the information of the corresponding power distribution network of the node, including: basic parameter information of the power distribution network, alternative line information of the power distribution network and item information to be selected;
(3) for the node x, the number M of items selected in sequence from the items to be selected is set to 0,1,2, …, Mx，MxRepresenting the upper limit of the number of selected items of the power distribution network corresponding to the node x, sequentially constructing and solving a power distribution network planning model corresponding to the node x under different selected item numbers to obtain a net income curve of the power distribution network corresponding to the node x and a newly added item load matrix in all time periods under different selected item numbers; the method comprises the following specific steps:
(3-1) making the total number m of the selected items equal to 0;
(3-2) constructing a power distribution network planning model, wherein the model consists of an objective function and constraint conditions; the method comprises the following specific steps:
(3-2-1) determining an objective function of the power distribution network planning model:
min(Invx-Revx)
in the formula, RevxShowing the net power selling income brought by the newly added project load to the power distribution network corresponding to the node x, InvxRepresents the cost of line commissioning;
(3-2-2) determining constraint conditions of the power distribution network planning model, specifically as follows:
revenue and investment constraints:
Figure FDA0002642652690000011
Figure FDA0002642652690000012
in the formula (I), the compound is shown in the specification,
Figure FDA0002642652690000013
the electricity price for purchasing electricity from the power transmission network for the t-th period of the power distribution network;
Figure FDA0002642652690000014
selling electricity price of the distribution network in the t-th time period; assuming that the set of items to be selected in the power distribution network corresponding to the node x is omega, and the load curve corresponding to each item to be selected is Lp,tP belongs to Ω, T is 1, T is a time interval, and T is a total time interval; the decision variable corresponding to each item is alphap0/1 variable; assuming that the set of alternative lines of the power distribution network corresponding to the project is KP(ii) a The investment cost corresponding to each alternative line is ck，k∈KP(ii) a The decision variable corresponding to each alternative line is uk0/1 variable;
and (3) controlling and constraining the total number of the power distribution network items:
Figure FDA0002642652690000015
the constraint conditions of the power distribution network planning model further comprise: line power Flow and current upper and lower limit constraints, Dist-Flow power Flow constraints, node power balance constraints, public node virtual power supply output control constraints and node voltage amplitude control constraints;
(3-3) solving the model established in the step (3-2) to obtain a corresponding optimal solution, wherein the optimal solution comprises the following steps: item set selected by node x corresponding to power distribution network
Figure FDA0002642652690000021
The node x corresponds to the electricity purchasing value Pg of the node x in each time period of the power distribution networkx,t,mT1, T, and node x correspond to net revenue of the distribution network
Figure FDA0002642652690000022
Pgx,t,mT1, i.e. the load of grid node x
Figure FDA0002642652690000023
(3-4) making M be M +1, then returning to the step (3-2) to update the power distribution network planning model and solve the updated model until M is MxObtaining a power distribution network planning model corresponding to the node x under different selected item numbers and an optimal solution corresponding to the power distribution network planning model;
(3-5) obtaining a net income curve of the power distribution network corresponding to the node x by using the result of the step (3-4), and recording the net income curve as a vector
Figure FDA0002642652690000024
Figure FDA0002642652690000025
The node x corresponding to the power distribution network forms a matrix Pg from the purchased power values of the node x in all periods under different selected item numbersx：
Pgx＝(Pgx,t,m)t＝1,...T,m＝0,...,Mx
PgxEqual to the load matrix corresponding to all the time intervals of the transmission network node x under different selected item numbers
Figure FDA0002642652690000026
Figure FDA0002642652690000027
Wherein node x has an inherent load of
Figure FDA0002642652690000028
Obtaining a new item load matrix delta P of the distribution network corresponding to the node x in all time periods under different selected item numbersx：
Figure FDA0002642652690000029
(4) Node x from ΩNRemoving: omegaN＝ΩNX, determining ΩNWhether it is an empty set: if yes, entering the step (5); otherwise, returning to the step (2) again to obtain the value from omegaNSelecting a next node;
(5) acquiring power transmission network information, comprising: the method comprises the following steps of (1) basic parameter information of a power transmission network, alternative line information of the power transmission network and equivalent curve information corresponding to each power distribution network;
(6) constructing a power transmission network model and solving to obtain a project decision scheme of each node of the power transmission network corresponding to a power distribution network and a planning scheme of a power transmission network line; the method comprises the following specific steps:
(6-1) constructing a power grid model, wherein the model consists of an objective function and constraint conditions; the method comprises the following specific steps:
(6-1-1) determining an objective function of the power grid model:
Figure FDA00026426526900000210
in the formula, betax,mThe variable is 0-1, and m items of investment of the power distribution network corresponding to the selected node x are represented;
Figure FDA00026426526900000211
for the set of alternative lines of the transmission network,
Figure FDA00026426526900000212
a variable of 0-1 is set up for the line plan k;
Figure FDA00026426526900000213
the investment cost of the alternative line k for the power transmission network;
(6-1-2) determining constraint conditions of the power transmission network model, specifically as follows:
and power balance constraint:
Figure FDA0002642652690000031
in the formula (I), the compound is shown in the specification,
Figure FDA0002642652690000032
the output of the unit i in the t-th time period;
Figure FDA0002642652690000033
load increment formed by transferring the load of a newly-thrown project of the power distribution network to the power transmission network;
Figure FDA0002642652690000034
the set is a set on a node x; s (k) represents a head end node of the line k; r (k) represents an end node of line k;
Figure FDA0002642652690000035
is the power flow of the t-th time period of the line k;
and (3) total number constraint of the power distribution network investment scheme:
Figure FDA0002642652690000036
and (3) total investment restraint of the power distribution network:
Figure FDA0002642652690000037
in the formula, InvTotalInvesting a total amount for the power distribution network and the power transmission network;
the constraint conditions of the power transmission network model also comprise line power flow constraint, node voltage phase angle and generator output constraint;
(6-2) solving the model established in the step (6-1) to obtain a final power distribution network project decision scheme corresponding to each node of the power transmission network:
Figure FDA0002642652690000038
and the planning scheme of the transmission network line:
Figure FDA0002642652690000039
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