CN112909942B - Active distribution network fault recovery method and system based on hybrid solution strategy - Google Patents

Active distribution network fault recovery method and system based on hybrid solution strategy Download PDF

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CN112909942B
CN112909942B CN202110436401.1A CN202110436401A CN112909942B CN 112909942 B CN112909942 B CN 112909942B CN 202110436401 A CN202110436401 A CN 202110436401A CN 112909942 B CN112909942 B CN 112909942B
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distribution network
active distribution
load
network
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CN112909942A (en
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张庆平
黄鸣宇
张沈习
闫振华
高博
夏绪卫
李秀广
李学锋
周秀
亓亮
马瑞
朱东歌
罗海荣
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Electric Power Research Institute of State Grid Ningxia Electric Power Co Ltd
Shanghai Jiao Tong University
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Shanghai Jiao Tong University
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    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02JCIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J3/00Circuit arrangements for AC mains or AC distribution networks
    • H02J3/007Arrangements for selectively connecting the load or loads to one or several among a plurality of power lines or power sources
    • H02J3/0073Arrangements for selectively connecting the load or loads to one or several among a plurality of power lines or power sources for providing alternative feeding paths between load and source when the main path fails, e.g. transformers, busbars
    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02HEMERGENCY PROTECTIVE CIRCUIT ARRANGEMENTS
    • H02H7/00Emergency protective circuit arrangements specially adapted for specific types of electric machines or apparatus or for sectionalised protection of cable or line systems, and effecting automatic switching in the event of an undesired change from normal working conditions
    • H02H7/26Sectionalised protection of cable or line systems, e.g. for disconnecting a section on which a short-circuit, earth fault, or arc discharge has occured
    • H02H7/28Sectionalised protection of cable or line systems, e.g. for disconnecting a section on which a short-circuit, earth fault, or arc discharge has occured for meshed systems
    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02JCIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J3/00Circuit arrangements for AC mains or AC distribution networks
    • H02J3/38Arrangements for parallely feeding a single network by two or more generators, converters or transformers
    • H02J3/388Islanding, i.e. disconnection of local power supply from the network
    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02JCIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J3/00Circuit arrangements for AC mains or AC distribution networks
    • H02J3/38Arrangements for parallely feeding a single network by two or more generators, converters or transformers
    • H02J3/46Controlling of the sharing of output between the generators, converters, or transformers
    • H02J3/466Scheduling the operation of the generators, e.g. connecting or disconnecting generators to meet a given demand
    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02JCIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J2203/00Indexing scheme relating to details of circuit arrangements for AC mains or AC distribution networks
    • H02J2203/20Simulating, e g planning, reliability check, modelling or computer assisted design [CAD]

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  • Engineering & Computer Science (AREA)
  • Power Engineering (AREA)
  • Supply And Distribution Of Alternating Current (AREA)

Abstract

本发明涉及一种基于混合求解策略的主动配电网故障恢复方法及系统,所述方法包括以下步骤:步骤S1,构建包含分布式电源和储能的主动配电网孤岛划分与网络重构统一模型,该模型的目标函数考虑等效失电负荷、分段开关操作以及网络损耗成本;步骤S2,采用基于广度优先搜索、深度优先搜索和二阶锥优化相结合的混合求解策略对所述统一模型进行求解,获得线路检修方案;步骤S3,基于所述线路检修方案实现主动配电网故障恢复。与现有技术相比,本发明具有提升故障恢复率、检修方案求解速度快等优点。

The invention relates to an active distribution network fault recovery method and system based on a hybrid solution strategy. The method includes the following steps: Step S1, constructing an active distribution network island division and network reconstruction that includes distributed power sources and energy storage. model, the objective function of which considers equivalent outage load, segmented switching operation and network loss cost; Step S2, adopt a hybrid solution strategy based on breadth-first search, depth-first search and second-order cone optimization to solve the unified problem The model is solved to obtain a line maintenance plan; step S3 is to realize active distribution network fault recovery based on the line maintenance plan. Compared with the existing technology, the present invention has the advantages of improving the fault recovery rate and solving the maintenance plan quickly.

Description

基于混合求解策略的主动配电网故障恢复方法及系统Active distribution network fault recovery method and system based on hybrid solution strategy

技术领域Technical field

本发明涉及一种主动配电网故障恢复技术,尤其是涉及一种基于混合求解策略的主动配电网故障恢复方法及系统。The invention relates to an active distribution network fault recovery technology, and in particular to an active distribution network fault recovery method and system based on a hybrid solution strategy.

背景技术Background technique

配电网故障直接影响着社会的生产以及居民的日常供电。应对突发的自然灾害,相比于保护配电网,电网方开始转而寻求在灾害发生后利用黑启动分布式电源迅速恢复配电系统的方法,以提高可靠性。主动配电网(active distributionnetwork,AND)拥有可以作为黑启动电源的分布式电源(distributed generation,DG)作为后备,其网络拓扑灵活多变的特点也为主动配电网故障恢复策略提供更多的优化可能。因此,针对配电网拓扑变换的故障恢复策略,成为配网领域的研究热点之一。Distribution network failures directly affect social production and residents' daily power supply. In response to sudden natural disasters, instead of protecting the distribution network, the power grid began to look for ways to quickly restore the distribution system using black-start distributed power supplies after the disaster to improve reliability. The active distribution network (AND) has distributed generation (DG) that can be used as a black-start power supply as a backup. Its network topology is flexible and changeable and provides more opportunities for the active distribution network fault recovery strategy. Optimization possible. Therefore, fault recovery strategies for distribution network topology transformation have become one of the research hotspots in the field of distribution network.

主动配电网在故障发生后,一般单独通过对分布式电源进行合理有效地划分形成孤岛运行恢复供电,或单独通过网络重构改变网络拓扑结构的方法将剩余失电区域与主网相连恢复供电。与传统配电网相比,含DG的主动配电网故障恢复需要考虑的因素更多,负荷与DG出力的间歇性和波动性会对原有的故障恢复方法带来更多的影响因素,现有的故障恢复方法还存在故障恢复率不足的问题。After a fault occurs in the active distribution network, the power supply is generally restored by reasonably and effectively dividing the distributed power sources to form an island operation, or by changing the network topology through network reconstruction to connect the remaining power loss areas to the main network and restore power supply. . Compared with traditional distribution networks, fault recovery of active distribution networks containing DG requires more factors to be considered. The intermittency and fluctuation of load and DG output will bring more influencing factors to the original fault recovery method. Existing fault recovery methods also have the problem of insufficient fault recovery rate.

发明内容Contents of the invention

本发明的目的就是为了克服上述现有技术存在的缺陷而提供一种提升故障恢复率、检修方案求解速度快的基于混合求解策略的主动配电网故障恢复方法及系统。The purpose of the present invention is to overcome the above-mentioned shortcomings of the prior art and provide an active distribution network fault recovery method and system based on a hybrid solution strategy that improves the fault recovery rate and quickly solves maintenance plans.

本发明的目的可以通过以下技术方案来实现:The object of the present invention can be achieved through the following technical solutions:

一种基于混合求解策略的主动配电网故障恢复方法,包括以下步骤:An active distribution network fault recovery method based on hybrid solution strategy, including the following steps:

步骤S1,构建包含分布式电源和储能的主动配电网孤岛划分与网络重构统一模型,该模型的目标函数考虑等效失电负荷、分段开关操作以及网络损耗成本;Step S1, construct a unified model of active distribution network island division and network reconstruction including distributed power supply and energy storage. The objective function of this model considers equivalent power loss load, segmented switching operation and network loss cost;

步骤S2,采用基于广度优先搜索、深度优先搜索和二阶锥优化相结合的混合求解策略对所述统一模型进行求解,获得线路检修方案;Step S2: Use a hybrid solution strategy based on a combination of breadth-first search, depth-first search and second-order cone optimization to solve the unified model and obtain a line maintenance plan;

步骤S3,基于所述线路检修方案实现主动配电网故障恢复。Step S3: Implement active distribution network fault recovery based on the line maintenance plan.

进一步地,所述目标函数表示为:Further, the objective function is expressed as:

式中:g1,t为系统t时段的网络损耗;g2,t为系统t时段分段开关操作次数;g3,t为系统在t时段的等效负荷恢复量;λi为节点i的负荷权重;Pi,t为负荷节点i的负荷t时段有功功率;表示负荷节点的集合;υ1、υ2、υ3分别为网络损耗成本系数、开关操作代价系数以及等效失电负荷成本系数,NT为整个故障恢复持续的时间段数量,Δt为单个时间段的持续时间。In the formula: g 1, t is the network loss of the system in period t; g 2, t is the number of segmented switching operations of the system in period t; g 3, t is the equivalent load recovery amount of the system in period t; λ i is node i. The load weight; P i,t is the active power of load node i in load period t; Represents the set of load nodes; υ 1 , υ 2 , and υ 3 are the network loss cost coefficient, switching operation cost coefficient and equivalent power loss load cost coefficient respectively, N T is the number of time periods that the entire fault recovery lasts, Δt is a single time The duration of the segment.

进一步地,所述网络损耗的计算方法为:Further, the calculation method of the network loss is:

式中:Iij,t为系统t时段支路i-j电流的有效值,Rij为支路i-j的电阻值;Ω为主动配电网所有支路集合;In the formula: I ij,t is the effective value of the current of branch ij during period t of the system, R ij is the resistance value of branch ij; Ω is the set of all branches of the active distribution network;

所述分段开关操作次数的计算方法为:The calculation method for the number of segmented switch operations is:

式中:决策变量αij,t为t时段线路i-j开关状态,取0表示线路i-j开关断开,取1表示线路i-j开关闭合;In the formula: the decision variable α ij,t is the switch status of line ij in period t. Taking 0 means that the switch of line ij is open, and taking 1 means that the switch of line ij is closed;

所述等效负荷恢复量的计算方法为:The calculation method of the equivalent load recovery amount is:

式中:决策变量yi,t为t时段节点i的负荷恢复状态,取1表示负荷i在t时段已恢复,取0表示负荷i在t时段未恢复。In the formula: the decision variable y i,t is the load recovery status of node i in period t. Taking 1 means that load i has recovered in period t, and taking 0 means that load i has not recovered in period t.

进一步地,所述主动配电网孤岛划分与网络重构统一模型的约束条件包括节点电压与支路电流约束、节点功率平衡约束、DG功率约束、网络结构约束、储能充放电状态及功率约束、储能剩余容量约束、电容器投切约束和故障检修策略约束。Further, the constraints of the unified model of active distribution network islanding and network reconstruction include node voltage and branch current constraints, node power balance constraints, DG power constraints, network structure constraints, energy storage charge and discharge status and power constraints , energy storage remaining capacity constraints, capacitor switching constraints and fault maintenance strategy constraints.

进一步地,步骤S2中,对所述统一模型进行求解具体为:Further, in step S2, solving the unified model is specifically as follows:

步骤S201:读取故障计划停电时间T、本时段DG输出功率、负荷预测功率和储能荷电状态;Step S201: Read the fault planned power outage time T, DG output power during this period, load forecast power and energy storage state of charge;

步骤S202:遍历各DG和储能接入节点为根节点,采用广度优先搜索算法确定功率圆,得到孤岛可行解;Step S202: Traverse each DG and energy storage access node as the root node, use the breadth-first search algorithm to determine the power circle, and obtain a feasible solution to the island;

步骤S203:根据所述孤岛可行解,采用深度优先搜索算法得到初始孤岛划分范围,再根据孤岛融合策略对初始孤岛划分范围进行修正,获得本时段孤岛划分结果;Step S203: According to the feasible solution of the island, use the depth-first search algorithm to obtain the initial island division range, and then modify the initial island division range according to the island fusion strategy to obtain the island division result for this period;

步骤S204:基于本时段孤岛划分结果、可操作联络开关位置和网络拓扑结构,获得本时段的主动配电网孤岛划分与网络重构统一模型;Step S204: Based on the islanding division results of this period, the position of the operable contact switch and the network topology, obtain the unified model of islanding division and network reconstruction of the active distribution network in this period;

步骤S205:构造中间变量,对所述统一模型进行线性化处理,转化为标准混合整数二阶锥模型;Step S205: Construct intermediate variables, linearize the unified model, and convert it into a standard mixed integer second-order cone model;

步骤S206:采用商业求解器对所述标准混合整数二阶锥模型进行求解;Step S206: Use a commercial solver to solve the standard mixed integer second-order cone model;

步骤S207:判断是否完成所有时段的计算,若是,则输出最终的线路检修方案,若否,则返回步骤S201,进行下一时段的计算。Step S207: Determine whether the calculations for all time periods have been completed. If so, output the final line maintenance plan. If not, return to step S201 to perform calculations for the next time period.

进一步地,所述根据孤岛融合策略对初始孤岛划分范围进行修正具体为:Further, the modification of the initial island division range according to the island fusion strategy is specifically as follows:

判断所述初始孤岛划分范围下各孤岛是否存在交集,若是,则对存在交集的孤岛进行融合,记录等值DG及其直接相连的等值节点,返回步骤S202,若否,则对判断相邻孤岛是否满足融合约束条件,若是则融合,否则取消融合,执行步骤S204。Determine whether there is an intersection among the islands under the initial island division range. If so, merge the islands with intersections, record the equivalent DG and its directly connected equivalent nodes, and return to step S202. If not, determine the adjacent islands. Whether the island satisfies the fusion constraint conditions, if so, merge, otherwise cancel the fusion, and execute step S204.

进一步地,所述商业求解器包括YALMIP工具箱。Further, the commercial solver includes the YALMIP toolbox.

步骤S205中,采用二阶锥松弛技术对所述统一模型进行凸松弛,将统一模型转化为所述标准混合整数二阶锥模型。In step S205, a second-order cone relaxation technique is used to perform convex relaxation on the unified model, and the unified model is converted into the standard mixed integer second-order cone model.

进一步地,所述标准混合整数二阶锥模型的可行域松弛为整个二阶锥体,搜索空间为凸锥范围内部。Further, the feasible region of the standard mixed integer second-order cone model is relaxed to the entire second-order cone, and the search space is within the range of the convex cone.

本发明还提供一种基于混合求解策略的主动配电网故障恢复系统,包括:The invention also provides an active distribution network fault recovery system based on a hybrid solution strategy, including:

一个或多个处理器、存储器和被存储在存储器中的一个或多个程序,所述一个或多个程序包括用于执行如上所述基于混合求解策略的主动配电网故障恢复方法的指令。One or more processors, a memory, and one or more programs stored in the memory, the one or more programs including instructions for executing the active distribution network fault recovery method based on a hybrid solution strategy as described above.

与现有技术相比,本发明具有以下有益效果:Compared with the prior art, the present invention has the following beneficial effects:

1、本发明构建了考虑孤岛划分和网络重构相配合的主动配电网故障恢复统一模型并提出相应的混合求解策略,能够综合考虑各影响因素,共同完成对非故障停电区域故障恢复,提高检修方案的可靠性。1. The present invention constructs a unified model of active distribution network fault recovery that considers island division and network reconstruction, and proposes a corresponding hybrid solution strategy, which can comprehensively consider various influencing factors, jointly complete fault recovery in non-fault outage areas, and improve Reliability of the maintenance plan.

2、本发明目标函数考虑等效失电负荷、分段开关操作以及网络损耗成本,能够综合考虑并融合故障期间失电量、分段开关操作对应的经济性和网络损耗对应的能效。2. The objective function of the present invention considers the equivalent power loss load, segmented switching operation and network loss cost, and can comprehensively consider and integrate the amount of loss during the fault, the economy corresponding to the segmented switching operation and the energy efficiency corresponding to the network loss.

3、本发明采用基于广度优先搜索、深度优先搜索和二阶锥优化相结合的混合求解策略进行求解,能够实现主动配电网故障规划模型的精确、高效求解,提升模型求解效率。3. The present invention uses a hybrid solution strategy based on a combination of breadth-first search, depth-first search and second-order cone optimization to achieve accurate and efficient solution of the active distribution network fault planning model and improve model solution efficiency.

4、本发明融入电容器投切约束条件,使得故障恢复模型能够兼顾有功功率和无功功率,提升故障恢复率。4. The present invention incorporates capacitor switching constraints, so that the fault recovery model can take into account both active power and reactive power, and improve the fault recovery rate.

5、本发明融入故障检修策略约束条件,通过调整故障线路的开关决策变量对故障修复顺序进行优化,进而确定最优故障检修次序,提高供电恢复率。5. The present invention incorporates the constraints of the fault maintenance strategy and optimizes the fault repair sequence by adjusting the switching decision variables of the fault line, thereby determining the optimal fault maintenance sequence and improving the power supply recovery rate.

附图说明Description of the drawings

图1为本发明主动配电网故障恢复方法步骤;Figure 1 shows the steps of the active distribution network fault recovery method according to the present invention;

图2为孤岛划分与网络重构统一模型的求解流程图;Figure 2 is the solution flow chart of the unified model of island division and network reconstruction;

图3为含DG和储能的IEEE 33节点主动配电网;Figure 3 shows an IEEE 33-node active distribution network containing DG and energy storage;

图4为孤岛划分与网络重构故障恢复结果(14:00-15:00);Figure 4 shows the fault recovery results of island division and network reconstruction (14:00-15:00);

图5为孤岛划分与网络重构故障恢复结果(15:00-16:00);Figure 5 shows the fault recovery results of island division and network reconstruction (15:00-16:00);

图6为孤岛划分与网络重构故障恢复结果(16:00-17:00);Figure 6 shows the fault recovery results of island division and network reconstruction (16:00-17:00);

图7为孤岛划分与网络重构故障恢复结果(17:00-18:00);Figure 7 shows the fault recovery results of island division and network reconstruction (17:00-18:00);

图8为故障期间储能ES1出力结果;Figure 8 shows the output results of energy storage ES1 during the fault;

图9为故障期间储能ES2出力结果。Figure 9 shows the output results of energy storage ES2 during a fault.

具体实施方式Detailed ways

下面结合附图和具体实施例对本发明进行详细说明。本实施例以本发明技术方案为前提进行实施,给出了详细的实施方式和具体的操作过程,但本发明的保护范围不限于下述的实施例。The present invention will be described in detail below with reference to the accompanying drawings and specific embodiments. This embodiment is implemented based on the technical solution of the present invention and provides detailed implementation modes and specific operating procedures. However, the protection scope of the present invention is not limited to the following embodiments.

如图1所示,本发明提供一种基于混合求解策略的主动配电网故障恢复方法,包括以下步骤:As shown in Figure 1, the present invention provides an active distribution network fault recovery method based on a hybrid solution strategy, which includes the following steps:

步骤S1,构建包含分布式电源和储能的主动配电网孤岛划分与网络重构统一模型,该模型的目标函数考虑等效失电负荷、分段开关操作以及网络损耗成本;Step S1, construct a unified model of active distribution network island division and network reconstruction including distributed power supply and energy storage. The objective function of this model considers equivalent power loss load, segmented switching operation and network loss cost;

步骤S2,采用基于广度优先搜索、深度优先搜索和二阶锥优化相结合的混合求解策略对所述统一模型进行求解,获得线路检修方案;Step S2: Use a hybrid solution strategy based on a combination of breadth-first search, depth-first search and second-order cone optimization to solve the unified model and obtain a line maintenance plan;

步骤S3,基于所述线路检修方案实现主动配电网故障恢复。Step S3: Implement active distribution network fault recovery based on the line maintenance plan.

步骤S1中采取孤岛划分与网络重构相配合的故障恢复策略,主动配电网故障发生后,在考虑负荷重要程度的基础上,通过孤岛划分优先满足一部分重要负荷的供电需求,同时还要尽量避免孤岛划分后生成大量不可恢复节点,即通过网络重构也无法恢复供电的节点;然后,基于孤岛划分后网络拓扑结构,采用网络重构对剩余负荷节点进行供电恢复,优化系统潮流以及网络损耗,同时还要尽量减少开关的操作次数。所建立的主动配电网孤岛划分与网络重构统一模型目标函数为主动配电网故障期间综合运行成本最小,其中考虑了等效失电负荷、分段开关操作以及网络损耗成本,目标函数具体表示为:In step S1, a fault recovery strategy combining island division and network reconstruction is adopted. After an active distribution network failure occurs, based on the importance of the load, the power supply needs of some important loads are prioritized through island division, and at the same time, the power supply needs of some important loads must be met as much as possible. Avoid the generation of a large number of unrecoverable nodes after island division, that is, nodes that cannot restore power supply through network reconstruction; then, based on the network topology after island division, use network reconstruction to restore power supply to remaining load nodes, optimizing system power flow and network losses , while also minimizing the number of switch operations. The objective function of the established unified model of active distribution network islanding and network reconstruction is to minimize the comprehensive operating cost during active distribution network faults, which takes into account the equivalent power loss load, segmented switching operations and network loss costs. The objective function is specific. Expressed as:

式中:g1,t为系统t时段的网络损耗;g2,t为系统t时段分段开关操作次数;g3,t为系统在t时段的等效负荷恢复量;λi为节点i的负荷权重;Pi,t为负荷节点i的负荷t时段有功功率;表示负荷节点的集合;υ1、υ2、υ3分别为网络损耗成本系数、开关操作代价系数以及等效失电负荷成本系数,NT为整个故障恢复持续的时间段数量,Δt为单个时间段的持续时间。In the formula: g 1, t is the network loss of the system in period t; g 2, t is the number of segmented switching operations of the system in period t; g 3, t is the equivalent load recovery amount of the system in period t; λ i is node i. The load weight; P i,t is the active power of load node i in load period t; Represents the set of load nodes; υ 1 , υ 2 , and υ 3 are the network loss cost coefficient, switching operation cost coefficient and equivalent power loss load cost coefficient respectively, N T is the number of time periods that the entire fault recovery lasts, Δt is a single time The duration of the segment.

所述网络损耗的计算方法为:The calculation method of the network loss is:

式中:Iij,t为系统t时段支路i-j电流的有效值,Rij为支路i-j的电阻值;Ω为主动配电网所有支路集合。In the formula: I ij,t is the effective value of the current of branch ij during period t of the system, R ij is the resistance value of branch ij; Ω is the set of all branches of the active distribution network.

所述分段开关操作次数的计算方法为:The calculation method for the number of segmented switch operations is:

式中:决策变量αij,t为t时段线路i-j开关状态,取0表示线路i-j开关断开,取1表示线路i-j开关闭合;In the formula: the decision variable α ij,t is the switch status of line ij in period t. Taking 0 means that the switch of line ij is open, and taking 1 means that the switch of line ij is closed;

所述等效负荷恢复量的计算方法为:The calculation method of the equivalent load recovery amount is:

式中:决策变量yi,t为t时段节点i的负荷恢复状态,取1表示负荷i在t时段已恢复,取0表示负荷i在t时段未恢复。In the formula: the decision variable y i,t is the load recovery status of node i in period t. Taking 1 means that load i has recovered in period t, and taking 0 means that load i has not recovered in period t.

主动配电网孤岛划分与网络重构统一模型的约束条件包括节点电压与支路电流约束、节点功率平衡约束、DG功率约束、网络结构约束、储能充放电状态及功率约束、储能剩余容量约束、电容器投切约束和故障检修策略约束。The constraints of the unified model of active distribution network islanding and network reconstruction include node voltage and branch current constraints, node power balance constraints, DG power constraints, network structure constraints, energy storage charge and discharge status and power constraints, and energy storage remaining capacity. constraints, capacitor switching constraints and troubleshooting strategy constraints.

(1)节点电压与支路电流约束(1) Node voltage and branch current constraints

当负荷通过孤岛划分或网络重构的形式恢复并网之后,要保证系统能够正常稳定运行,网络中节点电压与支路电流需要满足一定的约束条件,即:When the load is restored to the grid through islanding or network reconstruction, to ensure that the system can operate normally and stably, the node voltage and branch current in the network need to meet certain constraints, namely:

式中:Vi max、Vi min分别表示节点i电压上、下限;Iij,t为t时段支路i-j上流过的电流;为支路i-j允许流过的电流最大值。In the formula: V i max and V i min represent the upper and lower limits of the voltage of node i respectively; I ij,t is the current flowing on branch ij during t period; is the maximum current allowed to flow through branch ij.

(2)节点功率平衡约束(2) Node power balance constraints

满足功率平衡的要求是孤岛划分或网络重构后主动配电网稳定运行的关键。由基尔霍夫定律易知,流入节点的功率之和必等于流出该节点的功率之和,因此应当满足节点的功率平衡约束,即:Meeting the requirements of power balance is the key to the stable operation of the active distribution network after islanding or network reconstruction. It is easy to know from Kirchhoff's law that the sum of the power flowing into a node must be equal to the sum of the power flowing out of the node, so the power balance constraint of the node should be satisfied, that is:

式中:Vi,t、Vj,t为t时段节点i、j电压;Gij、Bij分别为支路i-j的电导和电纳;δij,t为t时段支路i-j电压相角差;C(i)为与节点i相连节点集合。In the formula: V i,t and V j,t are the voltages of nodes i and j in period t; G ij and B ij are the conductance and susceptance of branch ij respectively; δ ij,t is the voltage phase angle of branch ij in period t Difference; C(i) is the set of nodes connected to node i.

(3)DG功率约束(3)DG power constraints

由于风电(wind turbine,WT)和光伏(photovoltaic,PV)的出力具有较强间歇性与波动性,要使系统在孤岛划分与网络重构之后能够稳定运行,应当满足DG功率约束,即:Since the output of wind turbine (WT) and photovoltaic (PV) is highly intermittent and fluctuating, in order for the system to operate stably after island division and network reconstruction, the DG power constraints should be met, namely:

式中:PDG,i,t、QDG,i,t为t时段节点i处DG的有功出力和无功出力;为t时段节点i处DG的有功出力和无功出力上限;/>为t时段节点i处DG有功出力和无功出力下限。In the formula: P DG,i,t and Q DG,i,t are the active power output and reactive power output of DG at node i in period t; is the upper limit of active output and reactive output of DG at node i during period t;/> It is the lower limit of DG active output and reactive output at node i in period t.

(4)网络结构约束(4)Network structure constraints

考虑孤岛划分与网络重构相配合的故障恢复策略在故障恢复过程中,主动配电网需满足连通性约束与辐射状约束,即:A fault recovery strategy that considers island division and network reconstruction. During the fault recovery process, the active distribution network needs to satisfy connectivity constraints and radial constraints, namely:

式中:fdi为节点i的虚拟负荷,虚拟负荷作用在于保证故障恢复过程中所有负荷节点满足连通性约束,如果存在负荷节点被孤立,则该节点虚拟功率平衡约束不满足,即因此如果需要满足节点虚拟功率平衡约束,所有负荷节点均需保持连通,同时由于配电网的网络线路连通数量等于N-1,N为节点数量,满足连通性约束即满足辐射状约束,所以虚拟负荷以及虚拟流量的作用在于保证满足网络连通性约束以及辐射状约束。一般可取单位1,fij,t为t时段支路i-j处流过的虚拟流量,Nb为支路数,Nn为节点数,Ns为电源数。In the formula: f di is the virtual load of node i. The function of virtual load is to ensure that all load nodes meet the connectivity constraints during the fault recovery process. If a load node is isolated, the virtual power balance constraint of the node is not satisfied, that is Therefore, if the node virtual power balance constraint needs to be satisfied, all load nodes need to remain connected. At the same time, since the number of network line connections in the distribution network is equal to N-1, N is the number of nodes, satisfying the connectivity constraint means satisfying the radial constraint, so the virtual The role of load and virtual traffic is to ensure that network connectivity constraints and radial constraints are met. Generally, the unit is 1, f ij,t is the virtual traffic flowing through branch ij during t period, N b is the number of branches, N n is the number of nodes, and N s is the number of power supplies.

(5)储能充放电状态及功率约束(5) Energy storage charge and discharge status and power constraints

在孤岛划分与网络重构过程中均可用到储能装置,但储能的充放电功率不应大于其限定值,因此需要满足储能充放电状态及功率约束,即:Energy storage devices can be used in the process of island division and network reconstruction, but the charge and discharge power of the energy storage should not be greater than its limit value, so the energy storage charge and discharge state and power constraints need to be met, namely:

式中:决策变量分别为储能充放电状态ye,i,t与储能充放电功率Pe,i,t。ye,i,t表示节点i处储能在t时段充放电状态的0-1变量,取0表示充电,取1表示放电;分别表示节点i处储能的充放电的最大功率;Pe,i,t表示节点i处储能在t时段充电或放电的功率。In the formula: the decision variables are the energy storage charging and discharging state y e,i,t and the energy storage charging and discharging power P e,i,t respectively. y e,i,t represents the 0-1 variable of the charging and discharging state of the energy storage at node i during period t, with 0 representing charging and 1 representing discharging; Represents the maximum charging and discharging power of energy storage at node i respectively; P e, i, t represents the charging or discharging power of energy storage at node i in period t.

(6)储能剩余容量约束(6) Energy storage remaining capacity constraints

储能具有一定的容量限制,不能过度充放电,应当满足储能剩余容量约束,即:Energy storage has certain capacity limits and cannot be overcharged or discharged. It should satisfy the remaining capacity constraints of energy storage, namely:

式中:为t时段节点i处储能的剩余容量;/>和/>节点i处储能的最大、最小容量限制;ηch、ηdis分别为储能的充放电效率。In the formula: is the remaining capacity of energy storage at node i during period t;/> and/> The maximum and minimum capacity limits of energy storage at node i; eta ch and eta dis are the charging and discharging efficiency of energy storage respectively.

(7)电容器投切约束(7) Capacitor switching constraints

为应对主动配电网孤岛运行时负荷的无功需求以及网络重构后由于无功缺额引起的欠电压问题,在孤岛划分与网络重构故障恢复过程中需要投切电容器组进行无功补偿,应满足电容器投切约束,即:In order to cope with the reactive power demand of the load during islanding operation of the active distribution network and the undervoltage problem caused by reactive power shortage after network reconstruction, capacitor banks need to be switched for reactive power compensation during the islanding division and network reconstruction fault recovery process. The capacitor switching constraints should be met, that is:

式中:为t时段节点i处电容器的无功补偿容量;/>表示投入单个电容器的无功补偿容量;决策变量/>为t时段节点i投入的电容器数量;/>为节点i处可供投入的电容器总数。In the formula: is the reactive power compensation capacity of the capacitor at node i during period t;/> Indicates the reactive power compensation capacity invested in a single capacitor; decision variable/> The number of capacitors invested in node i during period t;/> is the total number of capacitors available for input at node i.

(8)故障检修策略约束(8) Troubleshooting strategy constraints

主动配电网中多处线路发生故障时,需要在计划停电时段内对各处线路故障的检修顺序进行合理安排,其具体方法是在网络重构与孤岛划分统一模型中对各故障线路的开关状态变量施加部分约束,即:下一个时段线路中闭合的开关总数总比上一时段的开关总数多,但不能超出每个时段最多能够检修的线路个数,当每个时段孤岛划分与网络重构结束后,通过优化各故障线路开关的决策变量,对剩余故障线路进行修复,间接调整优化网络的拓扑结构,最终确定在整个故障时段内线路的最优故障检修策略。When multiple lines in the active distribution network fail, it is necessary to reasonably arrange the maintenance sequence of each line fault within the planned power outage period. The specific method is to switch each fault line on and off in a unified model of network reconstruction and island division. The state variable imposes some constraints, that is: the total number of closed switches in the line in the next period is always more than the total number of switches in the previous period, but it cannot exceed the maximum number of lines that can be repaired in each period. When the islanding division and network reuse in each period are After the construction is completed, by optimizing the decision variables of each faulty line switch, the remaining faulty lines are repaired, the topology of the network is indirectly adjusted and optimized, and the optimal fault maintenance strategy for the line during the entire fault period is finally determined.

式中:决策变量βij,t表示各故障线路开关的状态;ΩE为所有故障线路的集合;k为单个时段内最多能检修线路的个数。In the formula: the decision variable β ij,t represents the status of each fault line switch; Ω E is the set of all fault lines; k is the maximum number of lines that can be repaired in a single period.

如图2所示,步骤S2中,对所述统一模型进行求解具体为:As shown in Figure 2, in step S2, the specific steps to solve the unified model are:

步骤S201:读取故障计划停电时间T、本时段DG输出功率、负荷预测功率和储能荷电状态;Step S201: Read the fault planned power outage time T, DG output power during this period, load forecast power and energy storage state of charge;

步骤S202:遍历各DG和储能接入节点为根节点,采用广度优先搜索算法确定功率圆,得到孤岛可行解;Step S202: Traverse each DG and energy storage access node as the root node, use the breadth-first search algorithm to determine the power circle, and obtain a feasible solution to the island;

步骤S203:根据所述孤岛可行解,采用深度优先搜索算法得到初始孤岛划分范围,再根据孤岛融合策略对初始孤岛划分范围进行修正,获得本时段孤岛划分结果;Step S203: According to the feasible solution of the island, use the depth-first search algorithm to obtain the initial island division range, and then modify the initial island division range according to the island fusion strategy to obtain the island division result for this period;

所述根据孤岛融合策略对初始孤岛划分范围进行修正具体为:判断所述初始孤岛划分范围下各孤岛是否存在交集,若是,则对存在交集的孤岛进行融合,记录等值DG及其直接相连的等值节点,返回步骤S202,若否,则对判断相邻孤岛是否满足融合约束条件,若是则融合,否则取消融合,执行步骤S204;The modification of the initial island division range according to the island fusion strategy is specifically: determining whether there is an intersection among the islands under the initial island division range, and if so, merging the islands with intersections and recording equivalent DGs and their directly connected For equivalent nodes, return to step S202. If not, determine whether the adjacent islands meet the fusion constraints. If so, merge; otherwise, cancel the fusion and execute step S204;

步骤S204:基于本时段孤岛划分结果、可操作联络开关位置和网络拓扑结构,获得本时段的主动配电网孤岛划分与网络重构统一模型;Step S204: Based on the islanding division results of this period, the position of the operable contact switch and the network topology, obtain the unified model of islanding division and network reconstruction of the active distribution network in this period;

步骤S205:构造中间变量,对所述统一模型进行线性化处理,转化为标准混合整数二阶锥模型;Step S205: Construct intermediate variables, linearize the unified model, and convert it into a standard mixed integer second-order cone model;

步骤S206:采用商业求解器对所述标准混合整数二阶锥模型进行求解,可采用的商业求解器包括YALMIP工具箱中的MOSEK算法包等;Step S206: Use a commercial solver to solve the standard mixed integer second-order cone model. Commercial solvers that can be used include the MOSEK algorithm package in the YALMIP toolbox, etc.;

步骤S207:判断是否完成所有时段的计算,若是,则输出最终的线路检修方案,若否,则返回步骤S201,进行下一时段的计算。Step S207: Determine whether the calculations for all time periods have been completed. If so, output the final line maintenance plan. If not, return to step S201 to perform calculations for the next time period.

步骤S205中,孤岛划分与网络重构统一模型中存在大量二次项与三角函数项,是一个MINLP问题,采取二阶锥松弛技术对该模型进行凸松弛。主动配电网孤岛划分与网络重构统一模型中存在的二次项、三角函数项,如式(4)、式(6)所示,均具有非凸性,在数学上难以直接求解。本发明通过引入中间变量的方法,利用二阶锥松弛技术对孤岛划分与网络重构统一模型进行凸松弛处理,进一步可采用成熟的商业求解器快速求得全局最优解。引入的中间变量如式(13)~(17)所示。In step S205, there are a large number of quadratic terms and trigonometric function terms in the unified model of island partitioning and network reconstruction, which is a MINLP problem. The second-order cone relaxation technology is used to perform convex relaxation on the model. The quadratic terms and trigonometric function terms existing in the unified model of active distribution network islanding and network reconstruction, as shown in equations (4) and (6), are non-convex and difficult to solve directly mathematically. By introducing intermediate variables, the present invention uses second-order cone relaxation technology to perform convex relaxation processing on the unified model of island division and network reconstruction, and further can use mature commercial solvers to quickly obtain the global optimal solution. The introduced intermediate variables are shown in formulas (13) to (17).

Cij,t=Vi,tVj,tcos(δij,t) (15)C ij,t =V i,t V j,t cos(δ ij,t ) (15)

Dij,t=Vi,tVj,tsin(δij,t) (16)D ij,t =V i,t V j,t sin(δ ij,t ) (16)

因式(17)中含有二次项,模型仍然具有非凸性,进一步将其松弛后如式(18)所示。Factor (17) contains quadratic terms, and the model still has non-convexity. After further relaxing it, it is shown in equation (18).

式(18)变形后可得其二阶锥形式如式(19)所示。After deformation of equation (18), its second-order cone form can be obtained as shown in equation (19).

原模型中含有平方项的网络损耗式(4)以及含有平方项、三角函数项的节点功率平衡约束式(6),经二阶锥松弛后,分别如式(20)~(22)所示。The network loss equation (4) containing square terms and the node power balance constraint equation (6) containing square terms and trigonometric function terms in the original model, after second-order cone relaxation, are shown in equations (20) to (22) respectively. .

此时,可行域松弛为整个二阶锥体,搜索空间被限制在凸锥范围内,具有凸可行域,采用商业求解器即可完成求解。At this time, the feasible region is relaxed to the entire second-order cone, and the search space is limited to the convex cone range. It has a convex feasible region and can be solved using a commercial solver.

上述功能如果以软件功能单元的形式实现并作为独立的产品销售或使用时,可以存储在一个计算机可读取存储介质中。基于这样的理解,本发明的技术方案本质上或者说对现有技术做出贡献的部分或者该技术方案的部分可以以软件产品的形式体现出来,该计算机软件产品存储在一个存储介质中,包括若干指令用以使得一台计算机设备(可以是个人计算机,服务器,或者网络设备等)执行本发明各个实施例所述方法的全部或部分步骤。而前述的存储介质包括:U盘、移动硬盘、只读存储器(ROM,Read-Only Memory)、随机存取存储器(RAM,Random Access Memory)、磁碟或者光盘等各种可以存储程序代码的介质。If the above functions are implemented in the form of software functional units and sold or used as independent products, they can be stored in a computer-readable storage medium. Based on this understanding, the technical solution of the present invention essentially or the part that contributes to the existing technology or the part of the technical solution can be embodied in the form of a software product. The computer software product is stored in a storage medium, including Several instructions are used to cause a computer device (which may be a personal computer, a server, or a network device, etc.) to execute all or part of the steps of the methods described in various embodiments of the present invention. The aforementioned storage media include: U disk, mobile hard disk, read-only memory (ROM, Read-Only Memory), random access memory (RAM, Random Access Memory), magnetic disk or optical disk and other media that can store program code. .

在另一个实施方式中提供一种基于混合求解策略的主动配电网故障恢复系统,包括:一个或多个处理器、存储器和被存储在存储器中的一个或多个程序,所述一个或多个程序包括用于执行如上所述基于混合求解策略的主动配电网故障恢复方法的指令。In another embodiment, an active distribution network fault recovery system based on a hybrid solution strategy is provided, including: one or more processors, a memory, and one or more programs stored in the memory, the one or more Each program includes instructions for executing the active distribution grid fault recovery method based on a hybrid solution strategy as described above.

实施例Example

本实施例采用含DG和储能(energy storage,ES)的IEEE 33节点主动配电网,其结构如图3所示,节点编号标于图中;系统最大负荷为3715kW+2300kvar。负荷等级参数见表1,各DG及储能的具体接入节点以及额定功率见表2、表3。This embodiment uses an IEEE 33-node active distribution network containing DG and energy storage (ES). Its structure is shown in Figure 3, and the node numbers are marked in the figure; the maximum load of the system is 3715kW+2300kvar. The load level parameters are shown in Table 1. The specific access nodes and rated power of each DG and energy storage are shown in Table 2 and Table 3.

表1节点负荷等级参数Table 1 Node load level parameters

表2 DG额定功率与接入点Table 2 DG rated power and access points

表3储能接入点与参数Table 3 Energy storage access points and parameters

为了验证上述主动配电网故障恢复方法的有效性,假设在极端天气情况下,配电网发生多条线路同时故障的重大事故时,设置线路6-7、10-11、15-16、22-23、26-27发生永久性故障,故障停电时段为14:00-18:00。本实施例规定单时段最多检修线路数量为1条,各时段孤岛划分与网络重构结束后,在满足式(12)故障检修策略约束的前提下,通过调整故障线路的开关决策变量对故障修复顺序进行优化,进而确定最优故障检修策略。本发明所提的孤岛划分与网络重构相配合的故障恢复策略最主要目标是尽可能多地恢复负荷供电,其余目标函数用来辅助优化网络运行状态。In order to verify the effectiveness of the above active distribution network fault recovery method, it is assumed that under extreme weather conditions, when a major accident occurs in the distribution network where multiple lines fail simultaneously, lines 6-7, 10-11, 15-16, and 22 are set up. A permanent fault occurs on -23 and 26-27, and the power outage period is 14:00-18:00. This embodiment stipulates that the maximum number of maintenance lines in a single period is 1. After the island division and network reconstruction in each period are completed, on the premise of satisfying the fault maintenance strategy constraints of equation (12), the fault repair is performed by adjusting the switching decision variables of the fault line. Optimize in sequence to determine the optimal troubleshooting strategy. The main goal of the fault recovery strategy that combines island division and network reconstruction proposed by the present invention is to restore power supply to as many loads as possible, and the remaining objective functions are used to assist in optimizing the network operating status.

采用本发明所提孤岛划分与网络重构相配合的故障恢复策略,且考虑故障检修策略约束,在每个时段进行孤岛划分与网络重构操作前,先通过优化调整故障线路的开关决策变量,调整网络拓扑结构,最终确定的线路检修策略依次为22-23、10-11、15-16、6-7,各时段的故障恢复结果如图4-图9以及表4所示。可以看出,ES1额定功率较大,与WT2相互配合共同参与孤岛划分,而ES2由于其额定容量较小,只能在网络重构时发挥作用,通过本发明方法可实现1类负荷节点8、9、16、24、30、31全部恢复供电。Adopting the fault recovery strategy proposed by the present invention that combines island division and network reconstruction, and considering the constraints of the fault maintenance strategy, before performing island division and network reconstruction operations in each period, the switching decision variables of the faulty line are first optimized and adjusted. After adjusting the network topology, the final line maintenance strategies are 22-23, 10-11, 15-16, and 6-7. The fault recovery results in each period are shown in Figures 4 to 9 and Table 4. It can be seen that ES1 has a larger rated power and cooperates with WT2 to participate in island division, while ES2 can only play a role in network reconstruction due to its small rated capacity. Class 1 load nodes 8 and 8 can be realized through the method of the present invention. Power supply will be restored on 9, 16, 24, 30 and 31.

表4各时段故障恢复结果Table 4 Fault recovery results in each period

为验证本发明所提故障恢复策略的优越性,分别将其与孤岛划分与网络重构无配合但考虑故障检修策略、孤岛划分与网络重构相配合但无故障检修策略的运行结果进行对比,结果见表5。In order to verify the superiority of the fault recovery strategy proposed in the present invention, the operation results are compared with the operation results of the islanding division and network reconstruction without cooperation but taking into account the fault maintenance strategy, and the islanding division and network reconstruction cooperation but no fault maintenance strategy. The results are shown in Table 5.

表5故障恢复策略对比Table 5 Comparison of fault recovery strategies

可以看出,使用策略1,即孤岛划分与网络重构无相互配合,虽然通过孤岛划分恢复的负荷达到了最大,但由于孤岛划分与网络重构各自独立进行,求得的仅是孤岛划分的局部最优解,导致部分节点通过网络重构也无法恢复供电,供电恢复率仅有87.15%。采用策略2,即孤岛划分与网络重构相配合进行供电恢复,但无故障检修策略,修复线路的次序随机,供电恢复率为92.43%。策略2与策略1对比可以得出,考虑孤岛划分与网络重构相配合的方式共同对主动配电网进行故障恢复,孤岛划分与网络重构同时进行,即考虑了重构过程也无法恢复的负荷,结果显示失电负荷电量减少了508.7kW·h,证明了本发明孤岛划分与网络重构统一模型的优越性。当采用策略3,即孤岛划分与网络重构相配合进行供电恢复且考虑故障检修策略,供电恢复率可达97.27%,失电负荷电量较策略1、2分别降低974.4kW·h、465.7kW·h,这说明通过本发明所采用的故障检修策略,可以更合理的安排故障修复过程,从而进一步提高供电恢复率。It can be seen that using strategy 1, that is, island division and network reconstruction do not cooperate with each other. Although the load restored through island division reaches the maximum, because the island division and network reconstruction are performed independently, only the island division is obtained. The local optimal solution resulted in the failure of some nodes to restore power supply even through network reconstruction, and the power supply recovery rate was only 87.15%. Strategy 2 is adopted, that is, island division and network reconstruction are combined to restore power supply, but there is no fault maintenance strategy. The order of repairing lines is random, and the power supply recovery rate is 92.43%. Comparing strategy 2 and strategy 1, it can be concluded that the fault recovery of the active distribution network should be carried out by considering the combination of island division and network reconstruction. Island division and network reconstruction are carried out at the same time, even if the reconstruction process is considered, the failure cannot be restored. load, the result shows that the power loss load has decreased by 508.7kW·h, which proves the superiority of the unified model of island division and network reconstruction in the present invention. When strategy 3 is adopted, that is, island division and network reconstruction are combined to restore power supply and fault maintenance strategies are taken into consideration, the power supply recovery rate can reach 97.27%, and the power loss load is reduced by 974.4kW·h and 465.7kW· respectively compared with strategies 1 and 2. h, this shows that through the fault maintenance strategy adopted in the present invention, the fault repair process can be arranged more reasonably, thereby further improving the power supply recovery rate.

以上详细描述了本发明的较佳具体实施例。应当理解,本领域的普通技术人员无需创造性劳动就可以根据本发明的构思作出诸多修改和变化。因此,凡本技术领域中技术人员依本发明的构思在现有技术的基础上通过逻辑分析、推理或者有限的实验可以得到的技术方案,皆应在由权利要求书所确定的保护范围内。The preferred embodiments of the present invention are described in detail above. It should be understood that those skilled in the art can make many modifications and changes based on the concept of the present invention without creative efforts. Therefore, any technical solutions that can be obtained by those skilled in the art through logical analysis, reasoning or limited experiments based on the concept of the present invention and on the basis of the prior art should be within the scope of protection determined by the claims.

Claims (8)

1.一种基于混合求解策略的主动配电网故障恢复方法,其特征在于,包括以下步骤:1. An active distribution network fault recovery method based on a hybrid solution strategy, which is characterized by including the following steps: 步骤S1,构建包含分布式电源和储能的主动配电网孤岛划分与网络重构统一模型,该模型的目标函数考虑等效失电负荷、分段开关操作以及网络损耗成本;Step S1, construct a unified model of active distribution network island division and network reconstruction including distributed power supply and energy storage. The objective function of this model considers equivalent power loss load, segmented switching operation and network loss cost; 步骤S2,采用基于广度优先搜索、深度优先搜索和二阶锥优化相结合的混合求解策略对所述统一模型进行求解,获得线路检修方案;Step S2: Use a hybrid solution strategy based on a combination of breadth-first search, depth-first search and second-order cone optimization to solve the unified model and obtain a line maintenance plan; 步骤S3,基于所述线路检修方案实现主动配电网故障恢复;Step S3: Implement active distribution network fault recovery based on the line maintenance plan; 所述目标函数表示为:The objective function is expressed as: 式中:g1,t为系统t时段的网络损耗;g2,t为系统t时段分段开关操作次数;g3,t为系统在t时段的等效负荷恢复量;λi为节点i的负荷权重;Pi,t为负荷节点i的负荷t时段有功功率;表示负荷节点的集合;υ1、υ2、υ3分别为网络损耗成本系数、开关操作代价系数以及等效失电负荷成本系数,NT为整个故障恢复持续的时间段数量,Δt为单个时间段的持续时间;In the formula: g 1, t is the network loss of the system in period t; g 2, t is the number of segmented switching operations of the system in period t; g 3, t is the equivalent load recovery amount of the system in period t; λ i is node i. The load weight; P i,t is the active power of load node i in load period t; Represents the set of load nodes; υ 1 , υ 2 , and υ 3 are the network loss cost coefficient, switching operation cost coefficient and equivalent power loss load cost coefficient respectively, N T is the number of time periods that the entire fault recovery lasts, Δt is a single time The duration of the segment; 所述网络损耗的计算方法为:The calculation method of the network loss is: 式中:Iij,t为系统t时段支路i-j电流的有效值,Rij为支路i-j的电阻值;Ω为主动配电网所有支路集合;In the formula: I ij,t is the effective value of the current of branch ij during period t of the system, R ij is the resistance value of branch ij; Ω is the set of all branches of the active distribution network; 所述分段开关操作次数的计算方法为:The calculation method for the number of segmented switch operations is: 式中:决策变量αij,t为t时段线路i-j开关状态,取0表示线路i-j开关断开,取1表示线路i-j开关闭合;In the formula: the decision variable α ij,t is the switch status of line ij in period t. Taking 0 means that the switch of line ij is open, and taking 1 means that the switch of line ij is closed; 所述等效负荷恢复量的计算方法为:The calculation method of the equivalent load recovery amount is: 式中:决策变量yi,t为t时段节点i的负荷恢复状态,取1表示负荷i在t时段已恢复,取0表示负荷i在t时段未恢复。In the formula: the decision variable y i,t is the load recovery status of node i in period t. Taking 1 means that load i has recovered in period t, and taking 0 means that load i has not recovered in period t. 2.根据权利要求1所述的基于混合求解策略的主动配电网故障恢复方法,其特征在于,所述主动配电网孤岛划分与网络重构统一模型的约束条件包括节点电压与支路电流约束、节点功率平衡约束、DG功率约束、网络结构约束、储能充放电状态及功率约束、储能剩余容量约束、电容器投切约束和故障检修策略约束。2. The active distribution network fault recovery method based on a hybrid solution strategy according to claim 1, characterized in that the constraints of the unified model of islanding division and network reconstruction of the active distribution network include node voltages and branch currents. Constraints, node power balance constraints, DG power constraints, network structure constraints, energy storage charge and discharge status and power constraints, energy storage remaining capacity constraints, capacitor switching constraints and fault maintenance strategy constraints. 3.根据权利要求1所述的基于混合求解策略的主动配电网故障恢复方法,其特征在于,步骤S2中,对所述统一模型进行求解具体为:3. The active distribution network fault recovery method based on hybrid solution strategy according to claim 1, characterized in that, in step S2, solving the unified model is specifically: 步骤S201:读取故障计划停电时间T、本时段DG输出功率、负荷预测功率和储能荷电状态;Step S201: Read the fault planned power outage time T, DG output power during this period, load forecast power and energy storage state of charge; 步骤S202:遍历各DG和储能接入节点为根节点,采用广度优先搜索算法确定功率圆,得到孤岛可行解;Step S202: Traverse each DG and energy storage access node as the root node, use the breadth-first search algorithm to determine the power circle, and obtain a feasible solution to the island; 步骤S203:根据所述孤岛可行解,采用深度优先搜索算法得到初始孤岛划分范围,再根据孤岛融合策略对初始孤岛划分范围进行修正,获得本时段孤岛划分结果;Step S203: According to the feasible solution of the island, use the depth-first search algorithm to obtain the initial island division range, and then modify the initial island division range according to the island fusion strategy to obtain the island division result for this period; 步骤S204:基于本时段孤岛划分结果、可操作联络开关位置和网络拓扑结构,获得本时段的主动配电网孤岛划分与网络重构统一模型;Step S204: Based on the islanding division results of this period, the position of the operable contact switch and the network topology, obtain the unified model of islanding division and network reconstruction of the active distribution network in this period; 步骤S205:构造中间变量,对所述统一模型进行线性化处理,转化为标准混合整数二阶锥模型;Step S205: Construct intermediate variables, linearize the unified model, and convert it into a standard mixed integer second-order cone model; 步骤S206:采用商业求解器对所述标准混合整数二阶锥模型进行求解;Step S206: Use a commercial solver to solve the standard mixed integer second-order cone model; 步骤S207:判断是否完成所有时段的计算,若是,则输出最终的线路检修方案,若否,则返回步骤S201,进行下一时段的计算。Step S207: Determine whether the calculations for all time periods have been completed. If so, output the final line maintenance plan. If not, return to step S201 to perform calculations for the next time period. 4.根据权利要求3所述的基于混合求解策略的主动配电网故障恢复方法,其特征在于,所述根据孤岛融合策略对初始孤岛划分范围进行修正具体为:4. The active distribution network fault recovery method based on hybrid solution strategy according to claim 3, characterized in that the modification of the initial island division range according to the island fusion strategy is specifically: 判断所述初始孤岛划分范围下各孤岛是否存在交集,若是,则对存在交集的孤岛进行融合,记录等值DG及其直接相连的等值节点,返回步骤S202,若否,则对判断相邻孤岛是否满足融合约束条件,若是则融合,否则取消融合,执行步骤S204。Determine whether there is an intersection among the islands under the initial island division range. If so, merge the islands with intersections, record the equivalent DG and its directly connected equivalent nodes, and return to step S202. If not, determine the adjacent islands. Whether the island satisfies the fusion constraint conditions, if so, merge, otherwise cancel the fusion, and execute step S204. 5.根据权利要求3所述的基于混合求解策略的主动配电网故障恢复方法,其特征在于,所述商业求解器包括YALMIP工具箱。5. The active distribution network fault recovery method based on hybrid solving strategy according to claim 3, characterized in that the commercial solver includes YALMIP toolbox. 6.根据权利要求3所述的基于混合求解策略的主动配电网故障恢复方法,其特征在于,步骤S205中,采用二阶锥松弛技术对所述统一模型进行凸松弛,将统一模型转化为所述标准混合整数二阶锥模型。6. The active distribution network fault recovery method based on hybrid solution strategy according to claim 3, characterized in that, in step S205, the second-order cone relaxation technology is used to perform convex relaxation on the unified model, and the unified model is converted into The standard mixed integer second-order cone model. 7.根据权利要求3所述的基于混合求解策略的主动配电网故障恢复方法,其特征在于,所述标准混合整数二阶锥模型的可行域松弛为整个二阶锥体,搜索空间为凸锥范围内部。7. The active distribution network fault recovery method based on a hybrid solution strategy according to claim 3, characterized in that the feasible region of the standard mixed integer second-order cone model is relaxed to the entire second-order cone, and the search space is Inside the convex cone range. 8.一种基于混合求解策略的主动配电网故障恢复系统,其特征在于,包括:8. An active distribution network fault recovery system based on a hybrid solution strategy, which is characterized by including: 一个或多个处理器、存储器和被存储在存储器中的一个或多个程序,所述一个或多个程序包括用于执行如权利要求1-7任一所述基于混合求解策略的主动配电网故障恢复方法的指令。One or more processors, a memory, and one or more programs stored in the memory, the one or more programs including a program for performing active power distribution based on a hybrid solution strategy as described in any one of claims 1-7 Instructions for network failure recovery methods.
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