CN111817358A - Power transmission network structure optimization method and device considering safety distance constraint - Google Patents

Power transmission network structure optimization method and device considering safety distance constraint Download PDF

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CN111817358A
CN111817358A CN202010475676.1A CN202010475676A CN111817358A CN 111817358 A CN111817358 A CN 111817358A CN 202010475676 A CN202010475676 A CN 202010475676A CN 111817358 A CN111817358 A CN 111817358A
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model
transmission network
power transmission
safety
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张尚
李雪亮
姜懿郎
吴萍
秦晓辉
苏丽宁
张健
张丽娜
张一驰
孙玉娇
赵珊珊
陈典
龚浩岳
曹相阳
刘晓明
杨斌
王男
刘冬
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State Grid Corp of China SGCC
China Electric Power Research Institute Co Ltd CEPRI
Economic and Technological Research Institute of State Grid Shandong Electric Power Co Ltd
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State Grid Corp of China SGCC
China Electric Power Research Institute Co Ltd CEPRI
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
    • H02J3/38—Arrangements for parallely feeding a single network by two or more generators, converters or transformers
    • H02J3/46—Controlling of the sharing of output between the generators, converters, or transformers
    • H02J3/466—Scheduling the operation of the generators, e.g. connecting or disconnecting generators to meet a given demand
    • 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
    • H02J3/04—Circuit arrangements for ac mains or ac distribution networks for connecting networks of the same frequency but supplied from different sources
    • H02J3/06—Controlling transfer of power between connected networks; Controlling sharing of load between connected networks
    • 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
    • H02J3/38—Arrangements for parallely feeding a single network by two or more generators, converters or transformers
    • H02J3/46—Controlling of the sharing of output between the generators, converters, or transformers
    • H02J3/48—Controlling the sharing of the in-phase component
    • 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
    • H02J2203/10—Power transmission or distribution systems management focussing at grid-level, e.g. load flow analysis, node profile computation, meshed network optimisation, active network management or spinning reserve management
    • 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]

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Abstract

The invention discloses a power transmission network structure optimization method and device considering safety distance constraint.

Description

Power transmission network structure optimization method and device considering safety distance constraint
Technical Field
The application relates to the field of planning and operation of electric power systems, in particular to a power transmission network structure optimization method considering safety distance constraint, and also relates to a power transmission network structure optimization device considering safety distance constraint.
Background
The socioeconomic development of China shifts from a high-speed growth stage to a high-quality development stage, the energy demand, especially the power demand, is greatly increased, the energy structure adjustment is accelerated, the external dependence of energy is controlled, and the situation is more urgent. According to the strategy for energy production and consumption revolution (2016-. Meanwhile, interactive energy facilities such as distributed energy, energy storage and electric vehicles are rapidly developed, various novel energy forms such as multi-energy combined supply, comprehensive service and intelligent energy consumption are continuously developed, the central position of electric power in energy transformation is further highlighted, and the electrification level of the economic and social development is continuously improved. These all put higher demands on accelerating the development of the power grid and strengthening the function of the power grid.
In order to change old energy production and consumption modes, change energy patterns mainly based on fossil energy, all countries in the world strive to explore new energy production and consumption modes, seek diversified energy supply strategies, and have started a new energy revolution taking renewable energy and new energy development as the core. Under the background, in order to realize optimal configuration of energy resources in a wider range and meet the requirements of access, transmission and consumption of large-scale new energy, the power grid development mode serving as a power transmission carrier is changed significantly. The problems that how to deal with new energy fluctuation and which new technologies can meet the requirements of safe, efficient and intelligent operation of a future power grid and provide support for the future power grid and the like of a power grid planning strategy become hot spots and difficulties concerned by experts and scholars at home and abroad in recent years.
As main component equipment of the power transmission network, the flexible operation mode of the power transmission line can be used for optimizing the structure of the power transmission network, eliminating weak links of the power network and enhancing the safety margin of the system, so that the capability of the power network for dealing with random disturbance is improved. At present, the optimization method of the power transmission network structure is mainly applied to: (1) the problems of processing emergent faults of the power grid, such as line overload, voltage out-of-limit, short-circuit current level and the like, are reduced/eliminated; (2) in the aspect of normal optimization operation of a power grid, experts at home and abroad also conduct extensive discussion on optimization of a power transmission structure, and the method is successfully applied to research on problems of power grid loss reduction, generator cost reduction, robustness optimization and the like. In the existing research, the problems of new energy access and consumption are brought into a power transmission network structure optimization model, and the problems are solved by methods such as random optimization, robust optimization and the like. However, the power transmission network structure optimization research guarantees the safety of the power transmission network through a series of 'hard constraints', and the problem of safety margin of the system for dealing with the fluctuation of new energy output is not considered.
Disclosure of Invention
The application provides a power transmission network structure optimization method and device considering safety distance constraint, and solves the problem that the existing power transmission network structure optimization does not consider the safety margin of the system for dealing with new energy output fluctuation.
The application provides a power transmission network structure optimization method considering safety distance constraint, which comprises the following steps:
representing a system operating point through a generator set output vector according to the load of the power system and the generator set output; acquiring a static security domain of the system according to the direct current power flow model;
establishing a safety distance measurement model from the operating point to the safety domain boundary, and obtaining the safety distance measurement in the current state of the system according to the model;
establishing a power transmission network structure optimization model considering safety distance constraint by taking the minimum running cost of the power system as a target;
and solving the power transmission network structure optimization model by adopting a Benders decomposition method to obtain an optimized scheduling strategy meeting the requirement of safety margin.
Preferably, the genset output comprises:
let the output of the generator set be PG，PGThe output of the conventional unit and the output of the new energy unit are included.
Preferably, the obtaining a system static security domain according to the dc power flow model includes:
the system static security domain is represented as,
Figure BDA0002515749390000021
wherein the load of the power system is Pd，PGmax、PGminRespectively representing the upper limit and the lower limit of the active output of the generator set; d is a node-branch transfer distribution factor matrix with D being BLATB-1In which B isLIs a branch susceptance matrix, A is a node-branch incidence matrix; b is a node susceptance matrix; the columns of D corresponding to the generator nodes form a matrix DG；PLmaxRepresenting a transmission capacity limit vector for the transmission line.
Preferably, establishing a safety distance measure model from the operating point to the safety domain boundary, and obtaining a safety distance measure in the current state of the system according to the model includes:
setting the current operating point of the system as
Figure BDA0002515749390000022
Then
Figure BDA0002515749390000023
The distance to the security domain boundary corresponding to the line i power flow constraint is measured by the following model,
Figure BDA0002515749390000031
ΣPG＝∑Pd
s.t.
Figure BDA0002515749390000032
Figure BDA0002515749390000033
in the formula, eiIs a unit vector
Figure BDA0002515749390000034
PLmax,iIs the ith line in the forward directionOr reverse transmission capacity limit;
taking the minimum value of the distances from the current operation point of the system to each safety boundary as the safety distance measure in the current state of the system, wherein
DS＝min{di}。
Preferably, the method for establishing the power transmission network structure optimization model considering the safety distance constraint with the aim of minimizing the operation cost of the power system comprises the following steps:
Figure BDA0002515749390000035
Figure BDA0002515749390000036
Figure BDA0002515749390000037
Figure BDA0002515749390000038
Figure BDA0002515749390000039
Figure BDA00025157493900000310
Figure BDA00025157493900000311
Figure BDA00025157493900000312
in the formula, ckThe cost of breaking branch k; z is a radical ofkFor representing 0-1 variable of the running state of the line, 0 represents a disconnected line, 1 represents that the line is put into the line, and the disconnected line is the line excluded from the optimal topology; l is the set of lines in the system; j is at mostThe number of open circuits allowed; a variable c represents the running state of the system, and c is 0 to represent the state of the system when the N-1 expected accident does not occur, namely a steady state; c is not equal to 0, corresponding to the running state of the system after the N-1 fault occurs;
Figure BDA00025157493900000313
is a variable from 0 to 1, represents the running state of the line k when the system is in the state c,
Figure BDA00025157493900000314
indicating that line k is open in state c,
Figure BDA00025157493900000315
indicating that line k is closed.
Preferably, the method for solving the power transmission network structure optimization model by adopting the Benders decomposition method to obtain the optimal scheduling strategy meeting the safety margin requirement comprises the following steps:
disassembling a power transmission network structure optimization model into a main problem and a sub problem;
setting iteration times t and a lower limit value LB of the optimization model solution to the subproblem;
solving the subproblem according to the lower limit value LB solved by the optimization model to obtain the optimal line breaking solution set and the subproblem objective function value CPP；
Solving the main problem according to the optimal line breaking solution set to obtain the objective function value C of the main problemMPAssigning the value of the UB to the UB, and then the UB is an upper limit value of the optimization model solution;
calculating the difference between the upper limit value UB obtained by the main problem and the lower limit value LB obtained by the sub-problem, and recording the difference as a solving error;
determining whether the solving error meets a preset threshold value; if so, outputting an optimal solution scheme; otherwise, C is addedPPAnd assigning to the LB, wherein an iteration number counter t is t +1, and solving the sub-problem and the main problem so as to output an optimal solution scheme.
This application provides a transmission network structure optimization device who considers safe distance constraint simultaneously, includes:
the static security domain acquisition unit is used for representing a system operation point through a generator set output vector according to the system load and the generator set output; acquiring a static security domain of the system according to the direct current power flow model;
the safety distance measurement obtaining unit is used for establishing a safety distance measurement model from the operating point to the safety domain boundary and obtaining the safety distance measurement in the current state of the system according to the model;
the structure optimization model establishing unit is used for establishing a power transmission network structure optimization model considering safety distance constraint by taking the minimum running cost of the power system as a target;
and the optimized scheduling strategy obtaining unit is used for solving the power transmission network structure optimization model by adopting a Benders decomposition method to obtain the optimized scheduling strategy meeting the requirement of safety margin.
The method comprises the steps of establishing a power transmission network structure optimization model considering the safety distance constraint, solving the power transmission network structure optimization model by adopting a Benders decomposition method, obtaining an optimization scheduling strategy meeting the requirement of a safety margin, and solving the problem of the safety margin of the existing power transmission network structure optimization, which does not consider the system to deal with the new energy output fluctuation.
Drawings
Fig. 1 is a schematic flow diagram of a power transmission network structure optimization method considering safety distance constraints according to the present application;
fig. 2 is a detailed operational flow diagram of a method of grid structure optimization taking into account safe distance constraints to which the present application relates;
FIG. 3 is a network topology diagram of an IEEE-30 node system to which the present application relates;
fig. 4 is a schematic diagram of a grid structure optimization device considering safety distance constraints according to the present application.
Detailed Description
In the following description, numerous specific details are set forth in order to provide a thorough understanding of the present application. This application is capable of implementation in many different ways than those herein set forth and of similar import by those skilled in the art without departing from the spirit of this application and is therefore not limited to the specific implementations disclosed below.
Fig. 1 is a schematic flow chart of a power transmission network structure optimization method considering a safe distance constraint, and the method provided by the embodiment of the present application is described in detail below with reference to fig. 1.
Step S101, representing a system operating point through a generator set output vector according to a power system load and a generator set output; and acquiring a static security domain of the system according to the direct current power flow model.
Let the load of the power system be PdThe output of the generator set is PGCharacterizing the system operating point by the genset output vector, where PGThe output of the conventional unit and the output of the new energy unit are included. Based on the dc power flow model, the system static security domain is represented as,
Figure BDA0002515749390000051
wherein the load of the power system is Pd，PGmax、PGminRespectively representing the upper limit and the lower limit of the active output of the generator set; d is a node-branch transfer distribution factor matrix with D being BLATB-1In which B isLIs a branch susceptance matrix, A is a node-branch incidence matrix; b is a node susceptance matrix; the columns of D corresponding to the generator nodes form a matrix DG；PLmaxRepresenting a transmission capacity limit vector for the transmission line.
The operational safety constraints in equation (1) include equality constraints and inequality constraints. Wherein the equality constraint is a load balancing constraint; the inequality constraints comprise generator set output limit constraints and line tide limit constraints. These constraints together constitute a security domain omegaSSRThe boundary of (2).
And step S102, establishing a safety distance measurement model from the operating point to the safety domain boundary, and obtaining the safety distance measurement in the current state of the system according to the model.
Setting the current operating point of the system as
Figure BDA0002515749390000052
Then
Figure BDA0002515749390000053
The distance to the security domain boundary corresponding to the line i power flow constraint is measured by the following model,
Figure BDA0002515749390000054
in the formula, eiIs a unit vector
Figure BDA0002515749390000055
PLmax,iForward or reverse transmission capacity limit for the ith line;
taking the minimum value of the distances from the current operation point of the system to each safety boundary as the safety distance measure in the current state of the system, wherein
DS＝min{di} (3)。
And step S103, establishing a power transmission network structure optimization model considering safety distance constraint by taking the minimum operation cost of the power system as a target.
Figure BDA0002515749390000061
Figure BDA0002515749390000062
Figure BDA0002515749390000063
Figure BDA0002515749390000064
Figure BDA0002515749390000065
Figure BDA0002515749390000066
Figure BDA0002515749390000067
Figure BDA0002515749390000068
In the formula, ckThe cost of breaking branch k; z is a radical ofkFor representing 0-1 variable of the running state of the line, 0 represents a disconnected line, 1 represents that the line is put into the line, and the disconnected line is the line excluded from the optimal topology; l is the set of lines in the system; j is the maximum allowable open-close circuit number; a variable c represents the running state of the system, and c is 0 to represent the state of the system when the N-1 expected accident does not occur, namely a steady state; c is not equal to 0, corresponding to the running state of the system after the N-1 fault occurs;
Figure BDA0002515749390000069
is a variable from 0 to 1, represents the running state of the line k when the system is in the state c,
Figure BDA00025157493900000610
indicating that line k is open in state c,
Figure BDA00025157493900000611
indicating that line k is closed.
And the formula (4) is an objective function of the power transmission network structure optimization model, and comprises power generation cost and line disconnection cost. The equations (5) and (6) are DC power flow equations, wherein
Figure BDA00025157493900000612
Is a constant with a larger value and is used for relaxing the DC power flow equation when the line is disconnected. When z isk1 and
Figure BDA00025157493900000613
when the circuit is put into operation, the direct current power flow equation is strictly established; when z isk0 or
Figure BDA00025157493900000614
(i.e., line is open) the dc power flow equation is relaxed. Equations (7) and (8) are the node power balance constraint and the generator output constraint, respectively. And the formula (9) is the transmission limit constraint of the line active power flow during the N-1 verification. Equation (10) is a line break number constraint.
Equation (11) is the system safety margin constraint, where DSminIs the system safety margin threshold. When the structure of the power transmission network is optimized and adjusted, the power transmission network needs to be guaranteed to have the capability of resisting new energy fluctuation to a certain extent while pursuing operation economic benefits. The expression (11) represents that when the new energy fluctuation causes the output of the generator to deviate from the planned value, if the deviation is not more than DSminAnd the operation point is still located in the system safety domain after the fluctuation, so that the power grid is operated safely.
And step S104, solving the power transmission network structure optimization model by adopting a Benders decomposition method, and obtaining an optimization scheduling strategy meeting the requirement of safety margin.
Disassembling power transmission network structure optimization model into main problem CMPAnd sub-problem CPP；CMPAn objective function of the main problem, CPPAs an objective function of the relaxation sub-problem, CMPAnd CPPWhich are equivalent to the objective function C of the original optimization model.
The slack sub-problem is used to solve for an optimal grid structure that satisfies a partial constraint (not including the system safety margin constraint) and adds it as a known quantity to the main problem. The optimization model for the sub-problem is as follows:
Figure BDA0002515749390000071
in the formula:
Figure BDA0002515749390000072
LB is the lower limit value of the optimization model solution.
The iteration count counter t is set to 1, and the initial value of LB is input. Outputting an optimal solution scheme through the following steps:
1. reading LB value, solving subproblem to obtain optimal line breaking solution set and subproblem objective function value CPP。
2. Reading the optimal line breaking solution set, solving the main problem to obtain the objective function value C of the main problemMPAnd assigning the value to UB, and then UB is an upper limit value of the optimization model solution.
3. And calculating the difference value between the upper limit value UB obtained by the main problem and the lower limit value LB obtained by the relaxation subproblem, and recording as a solving error.
4. And determining whether the solving error meets a preset threshold value. If so, outputting an optimal solution scheme; otherwise, C is addedPPAnd (5) assigning to the LB, and turning to the step 1, wherein the iteration number counter t is t + 1.
The detailed operation flow chart of fig. 2 is used to further illustrate the present invention in detail by taking the modified IEEE-30 node system as an example, but the present invention is not limited to the given example. The IEEE-30 node system consists of 6 generators, 30 buses and 41 lines, and the network topology is shown in figure 3. The transformation maintains the network topology structure and the load unchanged, only new energy sources are uniformly arranged on the generator nodes (namely BUS1, BUS2, BUS13, BUS21, BUS23 and BUS27), and the output fluctuation interval is +/-10 MW. Under the current state, the new energy and the total power of the thermal power generating unit on the nodes of BUS1, BUS2 and BUS13 are increased by 10MW on the basis of the original operation point, and the new energy and the total power of the thermal power generating unit on the nodes of BUS21, BUS23 and BUS27 are decreased by 10MW on the basis of the original operation point. In this state, the system does not satisfy N-1 security checks: when an N-1 fault occurs on the line 27-28, the power flow on the line 25-27 goes out of limit. In this state, the safe distance measure of the system can be calculated to be 11MW by using equation (2).
With the rapid increase of the new energy access proportion, the larger the space range of the new energy fluctuation required by the operation of the power grid, the higher the system safety margin threshold value is. When the safety margin threshold is respectively 20MW and 30MW, the system is structurally optimized, and the optimization model is solved, so that the running cost of the system and the line disconnection condition before and after optimization scheduling under different safety margin requirements can be obtained, as shown in Table 1. In the optimization model solution, the value is 0.01, and the LB initial value is the power grid operation cost in the current operation state.
TABLE 1 System operating cost, Generator contribution and line disconnect conditions for each optimization scheme under different safety margin requirements
Figure BDA0002515749390000081
When the system safety margin requirement is 20MW, on the basis of meeting the system N-1 safety check, the system running cost is 566MW/h after the generator output adjustment and the line disconnection optimization, and the grid structure optimization strategy is to disconnect the lines 25-27. It can be seen that as the requirement of the safety margin of the system increases, the operation cost also increases, which is consistent with the practical situation that the requirement of high safety level when the power grid operates necessarily sacrifices a part of economic benefit.
When the safety margin requirement of the system is increased to 30MW, if the optimization model does not consider the optimization of the grid structure, the output of the generator is only adjusted, and the optimization model is calculated without a solution, namely the safety margin requirement of the system cannot be met. On the basis of meeting the safety check of the system N-1, after the output adjustment of the generator and the circuit disconnection optimization, the system cost is 572MW/h, and the grid structure optimization strategy is 8-30 of a disconnection circuit. Therefore, with the further increase of the fluctuation range of the new energy output, the condition that the system safety margin requirement cannot be met probably exists only by adjusting the output of the generator, the feasible region of the optimization model can be expanded by coordinating the grid structure and the output of the unit, and the optimization scheduling strategy meeting the system safety margin requirement is obtained. The problem of the existing power transmission network structure optimization does not consider the safety margin of the system for dealing with the fluctuation of the new energy output is solved.
Based on the same inventive concept, the present application also provides a power transmission network structure optimization apparatus considering the safety distance constraint, as shown in fig. 4, including:
the static security domain obtaining unit 410 represents a system operation point through a generator set output vector according to the system load and the generator set output; acquiring a static security domain of the system according to the direct current power flow model;
a safe distance measure obtaining unit 420, configured to establish a safe distance measure model from the operating point to the safe domain boundary, and obtain a safe distance measure in the current state of the system according to the model;
a structural optimization model establishing unit 430, which establishes a power transmission network structural optimization model considering the safety distance constraint with the aim of minimizing the operation cost of the power system;
and the optimized scheduling strategy obtaining unit 440 is used for solving the power transmission network structure optimization model by adopting a Benders decomposition method, and obtaining the optimized scheduling strategy meeting the safety margin requirement.
Finally, it should be noted that: although the present invention has been described in detail with reference to the above embodiments, it should be understood by those skilled in the art that various changes may be made and equivalents may be substituted for elements thereof without departing from the spirit and scope of the invention.

Claims (7)

1. A method for optimizing a power transmission network structure in consideration of a safe distance constraint, comprising:
representing a system operating point through a generator set output vector according to the load of the power system and the generator set output; acquiring a static security domain of the system according to the direct current power flow model;
establishing a safety distance measurement model from the operating point to the safety domain boundary, and obtaining the safety distance measurement in the current state of the system according to the model;
establishing a power transmission network structure optimization model considering safety distance constraint by taking the minimum running cost of the power system as a target;
and solving the power transmission network structure optimization model by adopting a Benders decomposition method to obtain an optimized scheduling strategy meeting the requirement of safety margin.
2. The method of claim 1, wherein generating a genset output comprises:
provided with a generatorA combined force of PG，PGThe output of the conventional unit and the output of the new energy unit are included.
3. The method of claim 1, wherein obtaining a system static security domain according to the dc power flow model comprises:
the system static security domain is represented as,
Figure FDA0002515749380000011
wherein the load of the power system is Pd，PGmax、PGminRespectively representing the upper limit and the lower limit of the active output of the generator set; d is a node-branch transfer distribution factor matrix with D being BLATB-1In which B isLIs a branch susceptance matrix, A is a node-branch incidence matrix; b is a node susceptance matrix; the columns of D corresponding to the generator nodes form a matrix DG；PLmaxRepresenting a transmission capacity limit vector for the transmission line.
4. The method of claim 1, wherein establishing a security distance measure model from the operating point to the security domain boundary, and obtaining a security distance measure at the current state of the system according to the model comprises:
setting the current operating point of the system as
Figure FDA0002515749380000012
Then
Figure FDA0002515749380000013
The distance to the security domain boundary corresponding to the line i power flow constraint is measured by the following model,
Figure FDA0002515749380000014
ΣPG＝ΣPd
Figure FDA0002515749380000015
Figure FDA0002515749380000016
in the formula, eiIs a unit vector
Figure FDA0002515749380000021
PLmax,iForward or reverse transmission capacity limit for the ith line;
taking the minimum value of the distances from the current operation point of the system to each safety boundary as the safety distance measure in the current state of the system, wherein
DS＝min{di}。
5. The method of claim 1, wherein establishing a grid structure optimization model that takes into account safe distance constraints with the goal of minimizing power system operating costs comprises:
Figure FDA0002515749380000022
Figure FDA0002515749380000023
Figure FDA0002515749380000024
Figure FDA0002515749380000025
Figure FDA0002515749380000026
Figure FDA0002515749380000027
Figure FDA0002515749380000028
Figure FDA0002515749380000029
in the formula, ckThe cost of breaking branch k; z is a radical ofkFor representing 0-1 variable of the running state of the line, 0 represents a disconnected line, 1 represents that the line is put into the line, and the disconnected line is the line excluded from the optimal topology; l is the set of lines in the system; j is the maximum allowable open-close circuit number; a variable c represents the running state of the system, and c is 0 to represent the state of the system when the N-1 expected accident does not occur, namely a steady state; c is not equal to 0, corresponding to the running state of the system after the N-1 fault occurs;
Figure FDA00025157493800000210
is a variable from 0 to 1, represents the running state of the line k when the system is in the state c,
Figure FDA00025157493800000211
indicating that line k is open in state c,
Figure FDA00025157493800000212
indicating that line k is closed.
6. The method as claimed in claim 1, wherein the step of solving the power transmission network structure optimization model by using a Benders decomposition method to obtain the optimized scheduling strategy meeting the safety margin requirement comprises the following steps:
disassembling a power transmission network structure optimization model into a main problem and a sub problem;
setting iteration times t and a lower limit value LB of the optimization model solution to the subproblem;
lower limit value solved according to optimization modelLB solves the subproblem to obtain the optimal line breaking solution set and the subproblem objective function value CPP；
Solving the main problem according to the optimal line breaking solution set to obtain the objective function value C of the main problemMPAssigning the value of the UB to the UB, and then the UB is an upper limit value of the optimization model solution;
calculating the difference between the upper limit value UB obtained by the main problem and the lower limit value LB obtained by the sub-problem, and recording the difference as a solving error;
determining whether the solving error meets a preset threshold value; if so, outputting an optimal solution scheme; otherwise, C is addedPPAnd assigning to the LB, wherein an iteration number counter t is t +1, and solving the sub-problem and the main problem so as to output an optimal solution scheme.
7. A grid structure optimization device considering safety distance constraints, comprising:
the static security domain acquisition unit is used for representing a system operation point through a generator set output vector according to the system load and the generator set output; acquiring a static security domain of the system according to the direct current power flow model;
the safety distance measurement obtaining unit is used for establishing a safety distance measurement model from the operating point to the safety domain boundary and obtaining the safety distance measurement in the current state of the system according to the model;
the structure optimization model establishing unit is used for establishing a power transmission network structure optimization model considering safety distance constraint by taking the minimum running cost of the power system as a target;
and the optimized scheduling strategy obtaining unit is used for solving the power transmission network structure optimization model by adopting a Benders decomposition method to obtain the optimized scheduling strategy meeting the requirement of safety margin.
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