CN110768198B - A 10kV overhead insulated line lightning strike and disconnection comprehensive protection optimization method and device - Google Patents

A 10kV overhead insulated line lightning strike and disconnection comprehensive protection optimization method and device Download PDF

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CN110768198B
CN110768198B CN201911183273.3A CN201911183273A CN110768198B CN 110768198 B CN110768198 B CN 110768198B CN 201911183273 A CN201911183273 A CN 201911183273A CN 110768198 B CN110768198 B CN 110768198B
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distribution line
disconnection
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郭光华
王官涛
李晓宁
李金成
张力
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Binzhou Power Supply Co of State Grid Shandong Electric Power Co Ltd
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    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02GINSTALLATION OF ELECTRIC CABLES OR LINES, OR OF COMBINED OPTICAL AND ELECTRIC CABLES OR LINES
    • H02G13/00Installations of lightning conductors; Fastening thereof to supporting structure
    • H02G13/60Detecting; Measuring; Sensing; Testing; Simulating
    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02JCIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
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Abstract

本公开提供了10kV架空绝缘线路雷击断线综合防护优化方法及装置。其中该方法包括:获取配电网拓扑结构及其关联设备参数和用户数量,构建出配电网仿真模型;基于配电网仿真模型,进行感应雷击配电线路仿真,得到仿真配电线路分别在无保护方式以及避雷线和避雷器这两种保护方式下的断线率和影响用户;根据配电线路i断线后的影响用户与配电线路i选择第j种保护方式的断线率的乘积与总用户数量相除,得到配电线路i选择第j种保护方式下的平均中断频率指数;以平均中断频率指数最小值构建目标函数,利用粒子群优化算法求得相应配电线路的最优保护方式;i表示任一配电线路;j=1,2,3;j=1表示无保护方式;j=2表示避雷线保护方式;j=3表示避雷器保护方式。

Figure 201911183273

The present disclosure provides an optimization method and device for comprehensive protection against lightning strike and disconnection of a 10kV overhead insulated line. The method includes: obtaining the distribution network topology structure and its associated equipment parameters and the number of users, and constructing a distribution network simulation model; The disconnection rate and the impacted users under the two protection methods of no protection mode and lightning arrester and lightning arrester; according to the product of the disconnection rate of the jth protection method selected according to the impact of users after the disconnection of distribution line i and the disconnection rate of distribution line i Divide by the total number of users to obtain the average interruption frequency index of the distribution line i under the jth protection mode; construct the objective function with the minimum value of the average interruption frequency index, and use the particle swarm optimization algorithm to obtain the optimal value of the corresponding distribution line Protection mode; i means any distribution line; j=1,2,3; j=1 means no protection mode; j=2 means lightning protection mode; j=3 means lightning arrester protection mode.

Figure 201911183273

Description

一种10kV架空绝缘线路雷击断线综合防护优化方法及装置A 10kV overhead insulated line lightning strike and disconnection comprehensive protection optimization method and device

技术领域technical field

本公开属于配电雷击防护领域,尤其涉及一种10kV架空绝缘线路雷击断线综合防护优化方法及装置。The disclosure belongs to the field of lightning strike protection for power distribution, and in particular relates to a method and device for comprehensive protection and optimization of lightning strike and disconnection of 10kV overhead insulated lines.

背景技术Background technique

本部分的陈述仅仅是提供了与本公开相关的背景技术信息,不必然构成在先技术。The statements in this section merely provide background information related to the present disclosure and do not necessarily constitute prior art.

近年来,根据中压配电线路事故统计显示,绝缘导线在运行中,其故障数为配电网总故障数的15.3%,故障数较裸导线有了明显的下降;其中绝缘导线雷击事故占绝缘导线总事故数的36.8%,雷击断线率为96.8%。统计数据反映绝缘导线的雷击断线概率较高,从统计数据中可以看出绝缘导线在雷击事故中的破坏几乎是不可避免的,断线的概率是很高的。据国内统计,10kV架空绝缘导线雷击断线事故占雷击断线总数的很大一部分。全国已出现多起绝缘导线雷击断线事故。我国广东、深圳、北京等城市在绝缘导线逐步普遍使用后,在雷雨天气也多次发生由于雷击造成的断线事故。由此可见,雷击断线是绝缘导线运行事故的一个重要原因。发明人发现,目前针对10kV架空线路雷击断线综合防护的仿真精度低,而且实用性差。In recent years, according to the accident statistics of medium-voltage distribution lines, the number of faults of insulated conductors during operation is 15.3% of the total number of faults in the distribution network, and the number of faults has dropped significantly compared with bare conductors. Insulated conductors accounted for 36.8% of the total accidents, and the lightning break rate was 96.8%. Statistical data reflect that the lightning strike probability of insulated wire is relatively high. From the statistical data, it can be seen that the damage of insulated wire in a lightning strike accident is almost inevitable, and the probability of wire breakage is very high. According to domestic statistics, 10kV overhead insulated conductor lightning strikes and disconnection accidents account for a large part of the total number of lightning strikes and disconnections. There have been many incidents of insulated conductors being broken by lightning strikes across the country. In my country's Guangdong, Shenzhen, Beijing and other cities, after the use of insulated conductors is gradually common, there have also been many disconnection accidents caused by lightning strikes in thunderstorms. It can be seen that the lightning strike is an important reason for the operation accident of the insulated wire. The inventors found that the current simulation accuracy for comprehensive protection against lightning strike and disconnection of 10kV overhead lines is low, and the practicability is poor.

发明内容SUMMARY OF THE INVENTION

为了解决上述问题,本公开的第一个方面提供一种10kV架空绝缘线路雷击断线综合防护优化方法,其能够提高防雷击断线可靠性,实现配电网雷击断线率最小化。In order to solve the above problems, a first aspect of the present disclosure provides a comprehensive protection optimization method for 10kV overhead insulated line lightning strikes, which can improve the reliability of lightning strikes and disconnections and minimize the lightning strikes disconnection rate of the distribution network.

本公开的第一方面提供一种10kV架空绝缘线路雷击断线综合防护优化方法,其包括:A first aspect of the present disclosure provides a comprehensive protection and optimization method for lightning strike and disconnection of a 10kV overhead insulated line, which includes:

获取配电网拓扑结构及其关联设备参数和用户数量,构建出配电网仿真模型;Obtain the distribution network topology and its associated equipment parameters and number of users, and build a distribution network simulation model;

基于配电网仿真模型进行感应雷击配电线路仿真,得到仿真配电线路分别在无保护方式以及避雷线和避雷器这两种保护方式下的断线率和影响用户数量;其中,断线率等于配电线路上的总落雷数、建弧率与雷电流超过发生闪络雷电临界电流的概率三者的乘积;Based on the simulation model of the distribution network, the induction lightning strike distribution line simulation is carried out, and the disconnection rate and the number of affected users of the simulated distribution line under the unprotected mode and the two protection modes of the lightning protection line and the lightning arrester are obtained; where the disconnection rate is equal to The product of the total number of lightning strikes on the distribution line, the arc rate and the probability that the lightning current exceeds the critical current of flashover lightning;

根据配电线路i断线后的影响用户数量与配电线路i选择第j种保护方式的断线率的乘积与总用户数量相除,得到配电线路i选择第j种保护方式下的平均中断频率指数;以当前配电线路的平均中断频率指数最小值构建目标函数,总花费不超过总投资金额为约束条件,求得相应配电线路的最优保护方式;其中,i表示任一配电线路,i为大于或等于1的正整数;j=1,2,3;j=1表示无保护方式;j=2表示避雷线保护方式;j=3表示避雷器保护方式。According to the product of the number of users affected by the disconnection of distribution line i and the disconnection rate of the jth protection mode selected by distribution line i and divided by the total number of users, the average value of the jth protection mode selected by distribution line i is obtained. Interruption frequency index; the objective function is constructed with the minimum value of the average interruption frequency index of the current distribution line, and the total cost does not exceed the total investment amount as a constraint, and the optimal protection method of the corresponding distribution line is obtained; among them, i represents any distribution line. Electric line, i is a positive integer greater than or equal to 1; j=1, 2, 3; j=1 means no protection mode; j=2 means lightning protection wire protection mode; j=3 means lightning arrester protection mode.

本公开的第二方面提供一种10kV架空绝缘线路雷击断线综合防护优化装置,其包括:A second aspect of the present disclosure provides a comprehensive protection and optimization device for lightning strike and disconnection of a 10kV overhead insulated line, which includes:

配电网仿真模型构建模块,其用于获取配电网拓扑结构及其关联设备参数和用户数量,构建出配电网仿真模型;A distribution network simulation model building module, which is used to obtain the distribution network topology structure and its associated equipment parameters and number of users, and build a distribution network simulation model;

感应雷击配电线路仿真模块,其用于基于配电网仿真模型进行感应雷击配电线路仿真,得到仿真配电线路分别在无保护方式以及避雷线和避雷器这两种保护方式下的断线率和影响用户数量;其中,断线率等于配电线路上的总落雷数、建弧率与雷电流超过发生闪络雷电临界电流的概率三者的乘积;Induction lightning strike distribution line simulation module, which is used to simulate the induction lightning strike distribution line based on the distribution network simulation model, and obtain the disconnection rate of the simulated distribution line in the unprotected mode and the two protection modes of lightning arrester and lightning arrester. and the number of affected users; among them, the disconnection rate is equal to the product of the total number of lightning strikes on the distribution line, the arc rate and the probability that the lightning current exceeds the critical current of flashover lightning;

配电线路最优保护求取模块,其用于根据配电线路i断线后的影响用户数量与配电线路i选择第j种保护方式的断线率的乘积与总用户数量相除,得到配电线路i选择第j种保护方式下的平均中断频率指数;以当前配电线路的平均中断频率指数最小值构建目标函数,总花费不超过总投资金额为约束条件,求得相应配电线路的最优保护方式;其中,i表示任一配电线路,i为大于或等于1的正整数;j=1,2,3;j=1表示无保护方式;j=2表示避雷线保护方式;j=3表示避雷器保护方式。The module for obtaining the optimal protection of distribution lines is used to divide the product of the number of users affected by the disconnection of distribution line i and the disconnection rate of the jth protection mode selected by distribution line i by the total number of users to obtain The distribution line i selects the average interruption frequency index under the jth protection mode; the objective function is constructed with the minimum value of the average interruption frequency index of the current distribution line, and the total cost does not exceed the total investment amount as a constraint, and the corresponding distribution line is obtained. where, i represents any distribution line, i is a positive integer greater than or equal to 1; j=1, 2, 3; j=1 represents no protection mode; j=2 represents lightning protection mode ; j=3 represents the arrester protection mode.

本公开的第三方面提供一种计算机可读存储介质,其上存储有计算机程序,该程序被处理器执行时实现如上述所述的10kV架空绝缘线路雷击断线综合防护优化方法中的步骤。A third aspect of the present disclosure provides a computer-readable storage medium on which a computer program is stored, and when the program is executed by a processor, implements the steps in the above-mentioned comprehensive protection optimization method for 10kV overhead insulated lines from lightning strikes.

本公开的第四方面提供一种计算机设备,包括存储器、处理器及存储在存储器上并可在处理器上运行的计算机程序,所述处理器执行所述程序时实现如上述所述的10kV架空绝缘线路雷击断线综合防护优化方法中的步骤。A fourth aspect of the present disclosure provides a computer device, including a memory, a processor, and a computer program stored in the memory and executable on the processor, when the processor executes the program, the above-mentioned 10kV overhead is realized Steps in the optimization method for comprehensive protection against lightning strike and disconnection of insulated lines.

本公开的有益效果是:The beneficial effects of the present disclosure are:

本公开基于配电网仿真模型进行感应雷击配电线路仿真,得到仿真配电线路分别在无保护方式以及避雷线和避雷器这两种保护方式下的断线率和影响用户数量,根据配电线路i断线后的影响用户数量与配电线路i选择第j种保护方式的断线率的乘积与总用户数量相除,得到配电线路i选择第j种保护方式下的平均中断频率指数;以当前配电线路的平均中断频率指数最小值构建目标函数,总花费不超过总投资金额为约束条件,求得相应配电线路的最优保护方式,利用仿真技术模拟架空绝缘线路雷击断线情况,求取最优保护方式,提高防雷击断线可靠性,实现配电网雷击断线率最小化。The present disclosure performs induction lightning strike distribution line simulation based on the distribution network simulation model, and obtains the disconnection rate and the number of affected users of the simulated distribution line in the unprotected mode and the two protection modes of lightning arrester and lightning arrester. The product of the number of affected users after the disconnection of i and the disconnection rate of the jth protection mode selected by the distribution line i is divided by the total number of users to obtain the average interruption frequency index of the distribution line i under the jth protection mode selected; The objective function is constructed with the minimum value of the average interruption frequency index of the current distribution line, and the total cost does not exceed the total investment amount as the constraint condition, and the optimal protection method of the corresponding distribution line is obtained. Simulation technology is used to simulate the lightning strike of the overhead insulated line. , to find the optimal protection method, improve the reliability of lightning protection and disconnection, and minimize the lightning disconnection rate of the distribution network.

附图说明Description of drawings

构成本公开的一部分的说明书附图用来提供对本公开的进一步理解,本公开的示意性实施例及其说明用于解释本公开,并不构成对本公开的不当限定。The accompanying drawings that constitute a part of the present disclosure are used to provide further understanding of the present disclosure, and the exemplary embodiments of the present disclosure and their descriptions are used to explain the present disclosure and do not constitute an improper limitation of the present disclosure.

图1是本公开实施例的一种10kV架空绝缘线路雷击断线综合防护优化方法流程图。FIG. 1 is a flow chart of a comprehensive protection optimization method for lightning strike and disconnection of a 10kV overhead insulated line according to an embodiment of the present disclosure.

图2是YH5WS3-17/50型避雷器的伏安特性。Figure 2 is the volt-ampere characteristics of the YH5WS3-17/50 arrester.

图3是按照隔一杆安装一组避雷器后的防雷仿真结果。Figure 3 shows the simulation results of lightning protection after installing a group of arresters every other rod.

图4是本公开实施例的一种10kV架空绝缘线路雷击断线综合防护优化装置结构示意图。4 is a schematic structural diagram of a comprehensive protection and optimization device for lightning strike and disconnection of a 10kV overhead insulated line according to an embodiment of the present disclosure.

具体实施方式Detailed ways

下面结合附图与实施例对本公开作进一步说明。The present disclosure will be further described below with reference to the accompanying drawings and embodiments.

应该指出,以下详细说明都是例示性的,旨在对本公开提供进一步的说明。除非另有指明,本实施例使用的所有技术和科学术语具有与本公开所属技术领域的普通技术人员通常理解的相同含义。It should be noted that the following detailed description is exemplary and intended to provide further explanation of the present disclosure. Unless otherwise defined, all technical and scientific terms used in the examples have the same meaning as commonly understood by one of ordinary skill in the art to which this disclosure belongs.

需要注意的是,这里所使用的术语仅是为了描述具体实施方式,而非意图限制根据本公开的示例性实施方式。如在这里所使用的,除非上下文另外明确指出,否则单数形式也意图包括复数形式,此外,还应当理解的是,当在本说明书中使用术语“包含”和/或“包括”时,其指明存在特征、步骤、操作、器件、组件和/或它们的组合。It should be noted that the terminology used herein is for the purpose of describing specific embodiments only, and is not intended to limit the exemplary embodiments according to the present disclosure. As used herein, unless the context clearly dictates otherwise, the singular is intended to include the plural as well, furthermore, it is to be understood that when the terms "comprising" and/or "including" are used in this specification, it indicates that There are features, steps, operations, devices, components and/or combinations thereof.

实施例1Example 1

如图1所示,本实施例的一种10kV架空绝缘线路雷击断线综合防护优化方法,其包括:As shown in FIG. 1 , a comprehensive protection optimization method for 10kV overhead insulated line lightning strike and disconnection in this embodiment includes:

S101:获取配电网拓扑结构及其关联设备参数和用户数量,构建出配电网仿真模型;S101: Obtain the distribution network topology structure and its associated equipment parameters and the number of users, and construct a distribution network simulation model;

具体地,配电网仿真模型包括绝缘子闪络模型、架空线路模型、避雷器模型和杆塔模型。Specifically, the distribution network simulation model includes an insulator flashover model, an overhead line model, a lightning arrester model and a tower model.

目前,针对我国架空线路的绝缘子串闪络判据主要有以下几种,分别是定义法、相交法和先导法。At present, the flashover criteria of insulator strings for overhead lines in my country mainly include the following: definition method, intersection method and pilot method.

我国现行的行业标准和工程实践中通常以定义法作为判断绝缘子是否闪络的判据,即按照规程中给出的计算公式,通过将绝缘子串两端实际承受的过电压数值与其50%冲击放电电压进行对比,当实际承受的过电压超过其50%冲击放电电压时,即认为绝缘子发生闪络。因此该方法又称为50%放电电压法。本实施例选择P-15型针式绝缘子,其50%冲击放电电压为117kV。In my country's current industry standards and engineering practice, the definition method is usually used as the criterion for judging whether the insulator has flashover, that is, according to the calculation formula given in the regulations, by comparing the actual overvoltage value at both ends of the insulator string and its 50% impulse discharge The insulator is considered to have flashover when the actual overvoltage exceeds 50% of its impulse discharge voltage. Therefore, this method is also called the 50% discharge voltage method. In this embodiment, the P-15 type pin insulator is selected, and its 50% impulse discharge voltage is 117kV.

目前ATP-EMTP中的架空线路模型主要有Bergeron模型、π形集中参数模型、Node模型、J.Marti模型和Semlyen模型五种。由于J.Marti模型具有使用范围广、计算精度高等优点,在雷击架空线路模型得到了普遍应用。架空线路的主要型号有:LGJ-120、LGJ-70及LGJ-35三种,其中又以LGJ-35应用最为广泛。本实施例采用不换位的J.Marti模型对LGJ-35型架空线路进行模拟。At present, the overhead line models in ATP-EMTP mainly include Bergeron model, π-shaped lumped parameter model, Node model, J.Marti model and Semlyen model. Because the J.Marti model has the advantages of wide application range and high calculation accuracy, it has been widely used in the lightning strike overhead line model. The main types of overhead lines are: LGJ-120, LGJ-70 and LGJ-35, of which LGJ-35 is the most widely used. In this embodiment, the J.Marti model without transposition is used to simulate the LGJ-35 overhead line.

本实施例的避雷器模型采用氧化锌避雷器,防雷特性得益于其内部氧化锌电阻阀片的非线性伏安特性,目前常用的氧化锌避雷器模型均采用式(1)所述的指数函数对其内部阀片的非线性特性进行描述。The arrester model of this embodiment adopts zinc oxide arrester, and its lightning protection characteristics benefit from the nonlinear volt-ampere characteristics of its internal zinc oxide resistor valve. The nonlinear characteristics of its internal valve plate are described.

Figure BDA0002291818070000051
Figure BDA0002291818070000051

其中,p、q均为固定值,vref为避雷器的参考电压,本实施例中取为10k V。Wherein, p and q are both fixed values, and v ref is the reference voltage of the arrester, which is taken as 10kV in this embodiment.

在10kV配电线路中,采用的是的YH5WS3-17/50型避雷器,其伏安特性如图2所示。In the 10kV distribution line, the YH5WS3-17/50 arrester is used, and its volt-ampere characteristics are shown in Figure 2.

对无拉线钢筋混凝土电杆电感取0.84μh/m,有拉线钢筋混凝土电杆电感为0.42μh/m。在ATP-EMTP仿真中,使用无拉线钢筋混凝土电杆,将杆塔分为两个部分,其中上半部分表示塔顶至横担(约为1米),下半部分表示横担至塔底(约为10米)。The inductance of the reinforced concrete pole without pulling wire is 0.84μh/m, and the inductance of the reinforced concrete pole with pulling wire is 0.42μh/m. In the ATP-EMTP simulation, a reinforced concrete pole without a cable is used to divide the tower into two parts, the upper part represents the top of the tower to the cross arm (about 1 meter), and the lower part represents the cross arm to the bottom of the tower ( about 10 meters).

S102:基于配电网仿真模型进行感应雷击配电线路仿真,得到仿真配电线路分别在无保护方式以及避雷线和避雷器这两种保护方式下的断线率和影响用户数量;其中,断线率等于配电线路上的总落雷数、建弧率与雷电流超过发生闪络雷电临界电流的概率三者的乘积;S102: Perform induction lightning strike distribution line simulation based on the distribution network simulation model, and obtain the disconnection rate and the number of affected users of the simulated distribution line in the unprotected mode and the two protection modes of lightning arrester and lightning arrester; The rate is equal to the product of the total number of lightning strikes on the distribution line, the arc rate and the probability that the lightning current exceeds the critical current of flashover lightning;

通过建立配电线路的等效模型,模拟其在雷电冲击波作用下的暂态过程,欲将其与线路采取防雷措施后的耐雷水平做对比。由于感应雷过电压与输电线路高度成正比,而输电线路三相高度相近,三相过电压水平相近,因此可只采集其中一相的波形。By establishing the equivalent model of the distribution line, the transient process under the action of the lightning shock wave is simulated, and it is intended to be compared with the lightning resistance level of the line after the lightning protection measures are taken. Since the induced lightning overvoltage is proportional to the height of the transmission line, and the three-phase height of the transmission line is similar, the three-phase overvoltage level is similar, so only the waveform of one of the phases can be collected.

在雷电冲击试验和防雷设计中常见的雷电流等值模型主要有双指数波、斜角波和Heilder。IEC 1312-1推荐使用的雷电流波形为Heilder模型。考虑到Heilder模型上升速度较为缓慢,且下降时间稍长与实测结果较为吻合,本实施例拟采用Heilder指数模型模拟雷电冲击波,波形参数设置为2.6/50。The common lightning current equivalent models in lightning impulse test and lightning protection design mainly include double exponential wave, oblique wave and Heilder. The lightning current waveform recommended by IEC 1312-1 is the Heilder model. Considering that the rising speed of the Heilder model is relatively slow, and the slightly longer falling time is more consistent with the measured results, this embodiment intends to use the Heilder exponent model to simulate the lightning shock wave, and the waveform parameters are set to 2.6/50.

线路上的感应过电压幅值可以通过方程(2)来进行估算。The magnitude of the induced overvoltage on the line can be estimated by equation (2).

Figure BDA0002291818070000061
Figure BDA0002291818070000061

其中,其中UIN是该位置线路上感应过电压最大值。I0为雷电流峰值(kA),h为导线对地高度(m),y为雷击点到杆塔的水平距离。c是光速,v是回击传播速度,通常为c/3。本实施例通过ATP/EMTP中的model模型实现感应雷的计算。Among them, where U IN is the maximum value of induced overvoltage on the line at this position. I 0 is the peak value of lightning current (kA), h is the height of the conductor to the ground (m), and y is the horizontal distance from the lightning strike point to the tower. c is the speed of light and v is the speed of propagation of the return, usually c/3. In this embodiment, the calculation of the induced lightning is realized through the model model in ATP/EMTP.

对按照隔一杆安装一组避雷器后的防雷效果进行仿真计算。仿真结果如图3所示。The lightning protection effect after installing a group of arresters every other rod is simulated. The simulation results are shown in Figure 3.

经过仿真,在每隔1级杆塔安装一组避雷器时,未安装避雷器的杆塔并不能得到有效的保护。对于绝缘子来说,依旧存在闪络的较大可能。每隔1级杆塔安装一组避雷器闪络率为0.7554,相对于不安装避雷器来说,虽然有所降低,但是仅为7.2%。结果证明,避雷器对于的邻杆保护作用非常小。因此只有在易击段连续安装避雷器,才能起到很好的作用。After simulation, when a group of arresters is installed at every 1-level tower, the tower without arrester cannot be effectively protected. For insulators, there is still a greater possibility of flashover. The flashover rate of a group of arresters installed at every 1-level tower is 0.7554, which is only 7.2% compared with no arrester installed. The results show that the arrester has very little protection effect on the adjacent rod. Therefore, it can only play a good role if the arrester is continuously installed in the vulnerable section.

表1.避雷器安装密度与闪络率Table 1. Arrester installation density and flashover rate

Figure BDA0002291818070000071
Figure BDA0002291818070000071

相比于未架设避雷线的配电线路,由于避雷线与导线之间的耦合作用使时绝缘子两端的过电压幅值得到了有效降低,减少了线路雷击断线事故的发生。Compared with the distribution line without the lightning protection line, the overvoltage amplitude at both ends of the insulator is effectively reduced due to the coupling between the lightning protection line and the conductor, which reduces the occurrence of line lightning strike and disconnection accidents.

为了说明雷电与配电系统可靠性之间的相互依存关系,在数学建模中需要建立雷电条件下的系统响应特性。对于给定的雷电防护系统,需要计算其耐雷水平,即发生闪络的雷电临界电流I0In order to illustrate the interdependence between lightning and distribution system reliability, the system response characteristics under lightning conditions need to be established in mathematical modeling. For a given lightning protection system, it is necessary to calculate its lightning resistance level, that is, the lightning critical current I 0 at which flashover occurs.

在计算雷击线路附近大地时架空配电线路感应雷过电压时,为了使计算基本反映感应雷过电压的值,又不过于复杂,做了如下的假没:When calculating the induced lightning overvoltage of the overhead distribution line when the ground near the lightning strikes the line, in order to make the calculation basically reflect the value of the induced lightning overvoltage without being too complicated, the following falsehoods are made:

1)只考虑主放电回击过程中产生的静电效应和磁效应所形成的感应电压;1) Only consider the induced voltage formed by the electrostatic effect and the magnetic effect generated during the main discharge backlash;

2)沿先导通道的电荷分布均匀,雷击垂直于大地;2) The charge distribution along the pilot channel is uniform, and the lightning strike is perpendicular to the ground;

3)主放电速度(雷电回击速度)v恒定,与光速c成一定的比例关系;3) The main discharge speed (lightning return speed) v is constant, and has a certain proportional relationship with the speed of light c;

4)架空线路为理想导体,无损耗。4) The overhead line is an ideal conductor without loss.

雷电流超过I0的概率计算如下:The probability of lightning current exceeding I0 is calculated as follows:

Figure BDA0002291818070000081
Figure BDA0002291818070000081

Figure BDA0002291818070000082
是雷电流具有的峰值电流超过I0的概率。
Figure BDA0002291818070000082
is the probability that the lightning current has a peak current exceeding I 0 .

i0是预期的雷电峰值电流(kA)。i 0 is the expected lightning peak current (kA).

配电线路遭受雷击引起绝缘子冲击闪络后,并非都会引起断线。因冲击闪络的持续时间只有几十微秒,导致线路断线,还必须使冲击电弧转化为稳定的工频电弧,由于架空绝缘线路的耐热水平一般,电弧热量导致线路融化并最终断线。根据实验和运行经验,冲击闪络转为稳定工频电弧的概率称为建弧率。在10kV配电网中,建弧率由架空绝缘线路的耐雷水平,绝缘子电压梯度共同决定。After the insulator impact flashover caused by lightning strikes on distribution lines, not all of them will cause disconnection. Because the duration of the impact flashover is only tens of microseconds, the line is disconnected, and the impact arc must be converted into a stable power frequency arc. Due to the general heat resistance level of the overhead insulated line, the arc heat causes the line to melt and eventually disconnect. . According to the experiment and operation experience, the probability that the shock flashover turns into a stable power frequency arc is called the arc build rate. In the 10kV distribution network, the arc rate is determined by the lightning resistance level of the overhead insulated line and the voltage gradient of the insulator.

根据实际运行的10kV配电网所处的位置确定雷电参数,结合耐雷水平,雷电流超过I0的概率以及建弧率η参数推导出10kV架空绝缘线路雷击断线率n:The lightning parameters are determined according to the location of the 10kV distribution network in actual operation, combined with the lightning resistance level, the probability that the lightning current exceeds I 0 and the arc building rate η parameter to deduce the lightning breakage rate n of the 10kV overhead insulated line:

Figure BDA0002291818070000083
Figure BDA0002291818070000083

其中,N为配电线路上的总落雷数。Among them, N is the total number of lightning strikes on the distribution line.

根据断线率数学模型,揭示断线机理,给出影响断线率的关键因素。According to the mathematical model of the disconnection rate, the disconnection mechanism is revealed, and the key factors affecting the disconnection rate are given.

本实施例针对配电线路,共提出了三种雷击防护方式,即无保护,避雷线保护,避雷器保护。由于配电线路雷击断线率为96.8%,本实施例按照最严重的情况进行断线率的计算,即跳闸率=断线率。本实施例三种方式下的线路耐雷水平与断线率如表2所示。In this embodiment, three lightning strike protection methods are proposed for power distribution lines, namely, no protection, lightning protection line protection, and lightning arrester protection. Since the disconnection rate of the lightning strike of the distribution line is 96.8%, in this embodiment, the disconnection rate is calculated according to the most serious situation, that is, the tripping rate=the disconnection rate. Table 2 shows the lightning resistance level and disconnection rate of the line under the three modes of this embodiment.

表2.三种方式下断线率统计Table 2. Statistics of disconnection rate in three modes

方式Way 耐雷水平Lightning resistance level 断线率disconnection rate 无保护unprotected 17.817.8 2.52412.5241 避雷线Lightning protection line 26.526.5 1.89701.8970 避雷器lightning arrester >200>200 00

从以上数据可以看出,连续避雷器时,线路的安全性极高,但是由于在配电网中连续安装避雷器的经济代价较大,因此该种保护方式应当是针对某些线路有选择性的安装。而线路的保护方式的选择应当遵循某一原则,在满足经济性的要求的情况下,尽可能提高系统用户供电可靠性,避免瞬时中断以及永久性中断。It can be seen from the above data that the safety of the line is extremely high when the arrester is continuous. However, due to the high economic cost of continuously installing the arrester in the distribution network, this protection method should be selectively installed for some lines. . The choice of the protection mode of the line should follow a certain principle, in the case of meeting the economic requirements, the reliability of the power supply of the system users should be improved as much as possible, and the instantaneous interruption and permanent interruption should be avoided.

S103:根据配电线路i断线后的影响用户数量与配电线路i选择第j种保护方式的断线率的乘积与总用户数量相除,得到配电线路i选择第j种保护方式下的平均中断频率指数;以当前配电线路的平均中断频率指数最小值构建目标函数,总花费不超过总投资金额为约束条件,求得相应配电线路的最优保护方式;其中,i表示任一配电线路,i为大于或等于1的正整数;j=1,2,3;j=1表示无保护方式;j=2表示避雷线保护方式;j=3表示避雷器保护方式。S103: Divide the product of the number of users affected by the disconnection of the distribution line i and the disconnection rate of the jth protection mode selected by the distribution line i by the total number of users to obtain the jth protection mode selected by the distribution line i. The average interruption frequency index of the current distribution line is used to construct the objective function with the minimum value of the average interruption frequency index of the current distribution line. For a distribution line, i is a positive integer greater than or equal to 1; j=1, 2, 3; j=1 means no protection mode; j=2 means lightning protection line protection mode; j=3 means lightning arrester protection mode.

在实际的防雷改造工程中,电力部门常希望在保证线路取得良好耐雷性能的前提下,尽可能地降低工程造价,以获得较低的投入产出比。通过市场调研了解到,GJ-35型避雷线的市面售价约为8000元/吨,因此,对于配电线路而言,每安装1km避雷线通常需花费4000元。YH5WX17/50型氧化锌避雷器,其市场售价约为560元/组,分别采用上文所述的避雷器安装方案,当每级杆塔均安装氧化锌避雷器时,需花费9520元/km。此外,安装避雷器时要求有良好的接地系统。因此安装避雷器时相比较安装避雷线时,接地系统会加大投入。这也导致二者经济投入差距变大。In the actual lightning protection reconstruction project, the electric power department often hopes to reduce the project cost as much as possible on the premise of ensuring the good lightning resistance performance of the line, so as to obtain a lower input-output ratio. According to market research, the market price of GJ-35 lightning protection line is about 8,000 yuan/ton. Therefore, for power distribution lines, it usually costs 4,000 yuan to install 1km lightning protection line. YH5WX17/50 type zinc oxide arrester, its market price is about 560 yuan/group, respectively adopt the installation scheme of the arrester described above, when each level of tower is installed with zinc oxide arrester, it will cost 9520 yuan/km. In addition, a good grounding system is required when installing the arrester. Therefore, when installing a lightning arrester, the grounding system will increase investment compared to when installing a lightning protection wire. This has also led to a widening gap in economic investment between the two.

系统平均中断频率指数(SAIFI)表示平均客户的频率在预定的时间段内经历持续的中断。该指数与系统永久性故障有直接关系。The System Average Outage Frequency Index (SAIFI) indicates how often the average customer experiences sustained outages over a predetermined period of time. This index is directly related to the permanent failure of the system.

Figure BDA0002291818070000102
Figure BDA0002291818070000102

其中,SAIFIij代表配电线路i在j保护方式下的平均中断频率指数;Bi代表线路i断线后的影响用户数量;i=1.2.3…,j=1.2.3;j代表相应的保护方式。无保护(j=1);避雷线(j=2);避雷器(j=3);BT代表总用户数量;nij代表断线率。Among them, SAIFI ij represents the average interruption frequency index of distribution line i under the protection mode j; B i represents the number of affected users after line i is disconnected; i=1.2.3...,j=1.2.3; j represents the corresponding way of protection. No protection (j=1); lightning protection line (j=2); lightning arrester (j=3); B T represents the total number of users; n ij represents the disconnection rate.

m in SA IFI=SA IFIijxij m in SA IFI=SA IFI ij x ij

Figure BDA0002291818070000101
Figure BDA0002291818070000101

其中,xij的取值仅为0或者1,当=1时,表示第i条线路选择j方式保护;Among them, the value of x ij is only 0 or 1, and when = 1, it means that the ith line selects the j mode protection;

cost表示花费,invest表示投资,共有3种保护方式,81条线路只能采取其中一种,相加为1作为约束条件。cost means cost, invest means investment, there are 3 protection methods, 81 routes can only take one of them, and the sum is 1 as a constraint.

在本实施例中,在进行感应雷击配电线路仿真的过程中,采用Heilder指数模型模拟雷电冲击波。In this embodiment, in the process of simulating an induced lightning strike distribution line, the Heilder exponent model is used to simulate the lightning shock wave.

具体地,与传统的遗传算法(GA)相比,粒子群优化算法简单容易实现并且没有许多参数需要调整,因此广泛运用于神经网络、模式分类以及函数优化等领域。但是,粒子群算法在处理复杂问题时容易陷入局部最优解上而停止不动,即所谓的早熟收敛现象。本实施例利用加入遗传选择算子、交叉算子和变异算子的粒子群优化算法来求得相应配电线路的最优保护方式;其中,遗传选择算子用于把优化的个体直接遗传到下一代或通过配对交叉产生新的个体再遗传到下一代;交叉算子逼近最优解邻域时,通过变异算子的局部随机搜索能力加速向最优解收敛。Specifically, compared with the traditional genetic algorithm (GA), the particle swarm optimization algorithm is simple and easy to implement and does not have many parameters to adjust, so it is widely used in neural networks, pattern classification, and function optimization. However, when dealing with complex problems, particle swarm optimization is easy to fall into the local optimal solution and stop motionless, which is the so-called premature convergence phenomenon. In this embodiment, the particle swarm optimization algorithm with the addition of genetic selection operator, crossover operator and mutation operator is used to obtain the optimal protection mode of the corresponding distribution line; wherein, the genetic selection operator is used to directly inherit the optimized individuals into The next generation or through paired crossover generates new individuals and then inherits them to the next generation; when the crossover operator approaches the neighborhood of the optimal solution, the local random search ability of the mutation operator is used to accelerate the convergence to the optimal solution.

粒子群优化(Particle Swarm Optimization,PSO)算法是一种基于迭代的优化工具,粒子在解空间追随最优的粒子进行搜索,通过不断的迭代来搜寻最优值。采用粒子群算法的主要优势在于其搜索较优解的能力比较强,寻优的速度比较快;同时可以更加迅速和准确的算出基于粒子群优化算法模型修正的最优解。The Particle Swarm Optimization (PSO) algorithm is an iterative-based optimization tool. Particles search for the optimal particle in the solution space, and search for the optimal value through continuous iteration. The main advantage of using the particle swarm optimization algorithm is that it has a relatively strong ability to search for better solutions, and the speed of optimization is relatively fast; at the same time, the optimal solution based on the particle swarm optimization algorithm model correction can be calculated more quickly and accurately.

PSO算法起初随机赋予一群粒子,之后迭代出的新粒子群搜索其附近范围,直到达到解空间的最优粒子群,也就是通过不断的迭代达到最优解。假设在N维度的搜索空间中,粒子群的位置和速度分别为Xi=(xi1,xi2,xi3,...xin)和Vi=(vi1,vi2,vi3,...vin),在每个迭代过程中,粒子根据两种最优解来更替自身:一种是粒子本身周围的最优解,即个体中的极优解pbest;另一种是整个种群在此迭代之前(包括此迭代)比较找出的最优解,也就是全局中的最优解gbest。每次迭代的过程根据公式5和6来更新速度V和位置X。The PSO algorithm randomly assigns a group of particles at first, and then the new particle swarm iteratively searches its vicinity until it reaches the optimal particle swarm in the solution space, that is, the optimal solution is achieved through continuous iteration. Assuming that in the N-dimensional search space, the position and velocity of the particle swarm are Xi=(xi1,xi2,xi3,...xin) and Vi=(vi1,vi2,vi3,...vin), respectively. In each In the iterative process, the particle replaces itself according to two optimal solutions: one is the optimal solution around the particle itself, that is, the optimal solution pbest in the individual; the other is the entire population before this iteration (including this iteration) Compare the optimal solution found, that is, the optimal solution gbest in the global. The process of each iteration updates velocity V and position X according to Equations 5 and 6.

Figure BDA0002291818070000111
Figure BDA0002291818070000111

Figure BDA0002291818070000112
Figure BDA0002291818070000112

式中,

Figure BDA0002291818070000113
是粒子第k次迭代中第n维的速度;
Figure BDA0002291818070000114
是粒子i在第k次迭代中第n维当前的位置;pbestin是粒子i在第n维个体极值点的位置;gbestin是整个种群在第n维全局极值点的位置;r1、r2是[0,1]上的随机数;c1、c2是学习因子。In the formula,
Figure BDA0002291818070000113
is the velocity of the nth dimension in the kth iteration of the particle;
Figure BDA0002291818070000114
is the current position of particle i in the nth dimension in the kth iteration; pbestin is the position of the individual extreme point of particle i in the nth dimension; gbestin is the position of the global extreme point of the entire population in the nth dimension; r1, r2 are Random numbers on [0, 1]; c1, c2 are learning factors.

粒子数、最大速度、学习因子、惯性权重等控制参数对粒子群算法起到重大作用。一般选择40个左右的粒子数就可以得到很好的结果,比较复杂的问题可以选100个;优化问题决定粒子的范围,每个纬度可以设置不同的范围;学习因子使粒子有自我总结和向群体里优秀个体学习的能力,从而向群体内最优点或邻域内最优点靠近,一般c1=c2,范围在0至4之间;惯性权重决定了粒子对当前速度继承的多少,合适的选择惯性权重可以使粒子具有均衡的探索能力和开发能力。Control parameters such as the number of particles, maximum speed, learning factor, inertia weight, etc. play a significant role in particle swarm optimization. Generally, about 40 particles can be selected to get good results, and 100 can be selected for more complex problems; the optimization problem determines the range of particles, and different ranges can be set for each latitude; the learning factor enables the particles to have self-summary and orientation The ability of excellent individuals in the group to learn, so as to approach the best point in the group or the best point in the neighborhood, generally c1=c2, the range is between 0 and 4; the inertia weight determines how much the particle inherits the current speed, and the appropriate choice of inertia Weights allow particles to have balanced exploration and development capabilities.

粒子群优化算法就是模拟鸟类捕食的过程。在优化过程中,定义的一群粒子就是一群鸟,对每个粒子定义其自己的位置量和速度量,用一个n维向量代表不同粒子的速度值,同样速度也是类似拥有一个同样纬度的向量,位置则是代表优化问题中的解。Particle swarm optimization algorithm is to simulate the process of bird predation. In the optimization process, the defined group of particles is a group of birds, and each particle defines its own position and velocity, and uses an n-dimensional vector to represent the velocity values of different particles. The same velocity is similar to a vector with the same latitude. The positions represent the solutions in the optimization problem.

变其中,异运算模拟了生物进化中的基因突变的过程,将基因序列上的某一基因变异基因。主要作用有两个:一是使遗传算法具有局部的随机搜索能力。当遗传算法通过交叉算子逼近最优解邻域时,通过变异算子的局部随机搜索能力可以加速向最优解收敛。二是使遗传算法可维持群体多样性,以防止出现未成熟收敛现象。Among them, the different operation simulates the process of gene mutation in biological evolution, and mutates a certain gene in the gene sequence. There are two main functions: one is to make the genetic algorithm have local random search ability. When the genetic algorithm approaches the optimal solution neighborhood through the crossover operator, the local random search ability of the mutation operator can accelerate the convergence to the optimal solution. The second is to make the genetic algorithm maintain population diversity to prevent premature convergence.

本实施例基于配电网仿真模型进行感应雷击配电线路仿真,得到仿真配电线路分别在无保护方式以及避雷线和避雷器这两种保护方式下的断线率和影响用户数量,根据配电线路i断线后的影响用户数量与配电线路i选择第j种保护方式的断线率的乘积与总用户数量相除,得到配电线路i选择第j种保护方式下的平均中断频率指数;以当前配电线路的平均中断频率指数最小值构建目标函数,总花费不超过总投资金额为约束条件,求得相应配电线路的最优保护方式,利用仿真技术模拟架空绝缘线路雷击断线情况,求取最优保护方式,提高防雷击断线可靠性,实现配电网雷击断线率最小化。In this embodiment, based on the distribution network simulation model, the induction lightning strike distribution line simulation is performed, and the disconnection rate and the number of affected users of the simulated distribution line in the unprotected mode and the two protection modes of the lightning protection line and the lightning arrester are obtained. The product of the number of affected users after line i is disconnected and the disconnection rate of distribution line i choosing the jth protection mode is divided by the total number of users to obtain the average interruption frequency index of the distribution line i choosing the jth protection mode ;Construct the objective function with the minimum value of the average interruption frequency index of the current distribution line, and the total cost does not exceed the total investment amount as the constraint condition, obtain the optimal protection method of the corresponding distribution line, and use the simulation technology to simulate the lightning strike of the overhead insulated line. According to the situation, the optimal protection method is obtained to improve the reliability of lightning protection and disconnection, and to minimize the lightning disconnection rate of the distribution network.

实施例2Example 2

如图4所示,本实施例提供一种10kV架空绝缘线路雷击断线综合防护优化装置,其包括:As shown in FIG. 4 , this embodiment provides a comprehensive protection and optimization device for lightning strike and disconnection of a 10kV overhead insulated line, which includes:

(1)配电网仿真模型构建模块,其用于获取配电网拓扑结构及其关联设备参数和用户数量,构建出配电网仿真模型;(1) A distribution network simulation model building module, which is used to obtain the distribution network topology and its associated equipment parameters and the number of users, and build a distribution network simulation model;

其中,配电网仿真模型包括绝缘子闪络模型、架空线路模型、避雷器模型和杆塔模型。Among them, the distribution network simulation model includes the insulator flashover model, the overhead line model, the arrester model and the tower model.

(2)感应雷击配电线路仿真模块,其用于基于配电网仿真模型进行感应雷击配电线路仿真,得到仿真配电线路分别在无保护方式以及避雷线和避雷器这两种保护方式下的断线率和影响用户数量;其中,断线率等于配电线路上的总落雷数、建弧率与雷电流超过发生闪络雷电临界电流的概率三者的乘积;(2) Induction lightning strike distribution line simulation module, which is used to simulate the induction lightning strike distribution line based on the distribution network simulation model, and obtain the simulated distribution line under the two protection modes of unprotected mode and lightning protection line and lightning arrester respectively. The disconnection rate and the number of affected users; among them, the disconnection rate is equal to the product of the total number of lightning strikes on the distribution line, the arcing rate and the probability that the lightning current exceeds the critical current of flashover lightning;

其中,在所述感应雷击配电线路仿真模块中,采用Heilder指数模型模拟雷电冲击波。Wherein, in the inductive lightning strike distribution line simulation module, the Heilder exponent model is used to simulate the lightning shock wave.

(3)配电线路最优保护求取模块,其用于根据配电线路i断线后的影响用户数量与配电线路i选择第j种保护方式的断线率的乘积与总用户数量相除,得到配电线路i选择第j种保护方式下的平均中断频率指数;以当前配电线路的平均中断频率指数最小值构建目标函数,总花费不超过总投资金额为约束条件,求得相应配电线路的最优保护方式;其中,i表示任一配电线路,i为大于或等于1的正整数;j=1,2,3;j=1表示无保护方式;j=2表示避雷线保护方式;j=3表示避雷器保护方式。(3) The module for obtaining the optimal protection of distribution lines, which is used to determine the product of the number of users affected by the disconnection of distribution line i and the disconnection rate of the jth protection mode selected by distribution line i and the total number of users. Divide to obtain the average interruption frequency index of distribution line i under the jth protection mode; construct the objective function with the minimum value of the average interruption frequency index of the current distribution line, and the total cost does not exceed the total investment amount as a constraint, and obtain the corresponding The optimal protection method for distribution lines; where i represents any distribution line, i is a positive integer greater than or equal to 1; j=1, 2, 3; j=1 represents no protection method; j=2 represents lightning protection Line protection mode; j=3 represents the arrester protection mode.

在所述配电线路最优保护求取模块中,利用加入遗传选择算子、交叉算子和变异算子的粒子群优化算法来求得相应配电线路的最优保护方式;其中,遗传选择算子用于把优化的个体直接遗传到下一代或通过配对交叉产生新的个体再遗传到下一代;交叉算子逼近最优解邻域时,通过变异算子的局部随机搜索能力加速向最优解收敛。In the distribution line optimal protection obtaining module, the particle swarm optimization algorithm adding genetic selection operator, crossover operator and mutation operator is used to obtain the optimal protection mode of the corresponding distribution line; wherein, the genetic selection The operator is used to directly inherit the optimized individuals to the next generation or to generate new individuals through paired crossover and then to the next generation; when the crossover operator approaches the neighborhood of the optimal solution, the local random search ability of the mutation operator is used to accelerate the direction to the optimal solution. The optimal solution converges.

本实施例基于配电网仿真模型进行感应雷击配电线路仿真,得到仿真配电线路分别在无保护方式以及避雷线和避雷器这两种保护方式下的断线率和影响用户数量,根据配电线路i断线后的影响用户数量与配电线路i选择第j种保护方式的断线率的乘积与总用户数量相除,得到配电线路i选择第j种保护方式下的平均中断频率指数;以当前配电线路的平均中断频率指数最小值构建目标函数,总花费不超过总投资金额为约束条件,求得相应配电线路的最优保护方式,利用仿真技术模拟架空绝缘线路雷击断线情况,求取最优保护方式,提高防雷击断线可靠性,实现配电网雷击断线率最小化。In this embodiment, based on the distribution network simulation model, the induction lightning strike distribution line simulation is performed, and the disconnection rate and the number of affected users of the simulated distribution line in the unprotected mode and the two protection modes of the lightning protection line and the lightning arrester are obtained. The product of the number of affected users after line i is disconnected and the disconnection rate of distribution line i choosing the jth protection mode is divided by the total number of users to obtain the average interruption frequency index of the distribution line i choosing the jth protection mode ;Construct the objective function with the minimum value of the average interruption frequency index of the current distribution line, and the total cost does not exceed the total investment amount as the constraint condition, obtain the optimal protection method of the corresponding distribution line, and use the simulation technology to simulate the lightning strike of the overhead insulated line. According to the situation, the optimal protection method is obtained to improve the reliability of lightning protection and disconnection, and to minimize the lightning disconnection rate of the distribution network.

实施例3Example 3

本实施例提供一种计算机可读存储介质,其上存储有计算机程序,该程序被处理器执行时实现如图1所示的10kV架空绝缘线路雷击断线综合防护优化方法中的步骤。This embodiment provides a computer-readable storage medium on which a computer program is stored, and when the program is executed by a processor, implements the steps in the comprehensive protection optimization method for lightning strike and disconnection of a 10kV overhead insulated line as shown in FIG. 1 .

实施例4Example 4

本实施例提供一种计算机设备,包括存储器、处理器及存储在存储器上并可在处理器上运行的计算机程序,所述处理器执行所述程序时实现如图1所示的10kV架空绝缘线路雷击断线综合防护优化方法中的步骤。This embodiment provides a computer device, including a memory, a processor, and a computer program stored in the memory and running on the processor, when the processor executes the program, the 10kV overhead insulated line shown in FIG. 1 is implemented Steps in an optimization method for comprehensive protection against lightning strikes.

本实施例基于配电网仿真模型进行感应雷击配电线路仿真,得到仿真配电线路分别在无保护方式以及避雷线和避雷器这两种保护方式下的断线率和影响用户数量,根据配电线路i断线后的影响用户数量与配电线路i选择第j种保护方式的断线率的乘积与总用户数量相除,得到配电线路i选择第j种保护方式下的平均中断频率指数;以当前配电线路的平均中断频率指数最小值构建目标函数,总花费不超过总投资金额为约束条件,求得相应配电线路的最优保护方式,利用仿真技术模拟架空绝缘线路雷击断线情况,求取最优保护方式,提高防雷击断线可靠性,实现配电网雷击断线率最小化。In this embodiment, based on the distribution network simulation model, the induction lightning strike distribution line simulation is performed, and the disconnection rate and the number of affected users of the simulated distribution line in the unprotected mode and the two protection modes of the lightning protection line and the lightning arrester are obtained. The product of the number of affected users after line i is disconnected and the disconnection rate of distribution line i choosing the jth protection mode is divided by the total number of users to obtain the average interruption frequency index of the distribution line i choosing the jth protection mode ;Construct the objective function with the minimum value of the average interruption frequency index of the current distribution line, and the total cost does not exceed the total investment amount as the constraint condition, obtain the optimal protection method of the corresponding distribution line, and use the simulation technology to simulate the lightning strike of the overhead insulated line. According to the situation, the optimal protection method is obtained to improve the reliability of lightning protection and disconnection, and to minimize the lightning disconnection rate of the distribution network.

以上所述仅为本公开的优选实施例而已,并不用于限制本公开,对于本领域的技术人员来说,本公开可以有各种更改和变化。凡在本公开的精神和原则之内,所作的任何修改、等同替换、改进等,均应包含在本公开的保护范围之内。The above descriptions are only preferred embodiments of the present disclosure, and are not intended to limit the present disclosure. For those skilled in the art, the present disclosure may have various modifications and changes. Any modification, equivalent replacement, improvement, etc. made within the spirit and principle of the present disclosure shall be included within the protection scope of the present disclosure.

Claims (10)

1. A lightning stroke broken line comprehensive protection optimization method for a 10kV overhead insulated line is characterized by comprising the following steps:
acquiring a power distribution network topological structure, associated equipment parameters and the number of users, and constructing a power distribution network simulation model;
carrying out induction lightning distribution line simulation based on a power distribution network simulation model to obtain the line breakage rate and the number of influencing users of the simulated distribution line in an unprotected mode and in three protection modes of a lightning conductor and a lightning arrester; the disconnection rate is equal to the product of the total lightning number on the distribution line, the arcing rate and the probability that the lightning current exceeds the critical current of flashover lightning;
dividing the product of the number of influencing users after the distribution line i is disconnected and the disconnection rate of the distribution line i in the jth protection mode selected by the total number of users to obtain an average interruption frequency index of the distribution line i in the jth protection mode selected by the jth user; constructing a target function according to the minimum value of the average interruption frequency index of the current distribution line, and solving the optimal protection mode of the corresponding distribution line by taking the total cost not exceeding the total investment amount as a constraint condition; wherein i represents any distribution line, and is a positive integer greater than or equal to 1; j is 1,2, 3; j ═ 1 represents an unprotected mode; j is 2 to represent a lightning conductor protection mode; j-3 indicates the lightning arrester protection mode.
2. The lightning stroke and disconnection comprehensive protection and optimization method for the 10kV overhead insulated line according to claim 1, wherein the power distribution network simulation model comprises an insulator flashover model, an overhead line model, a lightning arrester model and a tower model.
3. The lightning stroke broken line comprehensive protection and optimization method for the 10kV overhead insulated line according to claim 1, wherein in the process of simulating the distribution line by induction lightning stroke, a Heilder index model is adopted to simulate lightning shock waves.
4. The lightning stroke broken line comprehensive protection optimization method for the 10kV overhead insulated line according to claim 1, wherein the optimal protection mode of the corresponding distribution line is obtained by utilizing a particle swarm optimization algorithm with genetic selection operators, crossover operators and mutation operators; wherein, the genetic selection operator is used for directly inheriting the optimized individuals to the next generation or generating new individuals through pairing and crossing and then inheriting the new individuals to the next generation; when the cross operator approaches the neighborhood of the optimal solution, the convergence to the optimal solution is accelerated through the local random search capability of the mutation operator.
5. The utility model provides a 10kV overhead insulated line thunderbolt broken string comprehensive protection optimizing apparatus which characterized in that includes:
the power distribution network simulation model building module is used for obtaining a power distribution network topological structure, and associated equipment parameters and the number of users of the power distribution network topological structure to build a power distribution network simulation model;
the power distribution line simulation system comprises an induction lightning distribution line simulation module, a power distribution network simulation module and a power distribution network simulation module, wherein the induction lightning distribution line simulation module is used for carrying out induction lightning distribution line simulation based on a power distribution network simulation model to obtain the line breakage rate and the number of influencing users of the simulation power distribution line in an unprotected mode and in three protection modes of a lightning conductor and a lightning arrester; the disconnection rate is equal to the product of the total lightning number on the distribution line, the arcing rate and the probability that the lightning current exceeds the critical current of flashover lightning;
the optimal protection calculation module of the distribution line is used for dividing the product of the number of influencing users after the distribution line i is broken and the breakage rate of the j-th protection mode selected by the distribution line i by the total number of users to obtain an average interruption frequency index of the distribution line i in the j-th protection mode selected; constructing a target function according to the minimum value of the average interruption frequency index of the current distribution line, and solving the optimal protection mode of the corresponding distribution line by taking the total cost not exceeding the total investment amount as a constraint condition; wherein i represents any distribution line, and is a positive integer greater than or equal to 1; j is 1,2, 3; j ═ 1 represents an unprotected mode; j is 2 to represent a lightning conductor protection mode; j-3 indicates the lightning arrester protection mode.
6. The 10kV overhead insulated line lightning stroke disconnection comprehensive protection optimization device of claim 5, wherein the power distribution network simulation model comprises an insulator flashover model, an overhead line model, a lightning arrester model and a tower model.
7. The 10kV overhead insulated line lightning breakage comprehensive protection optimization device of claim 5, wherein in the induced lightning distribution line simulation module, a Heilder index model is adopted to simulate lightning shock waves.
8. The 10kV overhead insulated line lightning stroke disconnection comprehensive protection optimization device of claim 5, wherein in the distribution line optimal protection obtaining module, a particle swarm optimization algorithm with a genetic selection operator, a crossover operator and a mutation operator is used for obtaining the optimal protection mode of the corresponding distribution line; wherein, the genetic selection operator is used for directly inheriting the optimized individuals to the next generation or generating new individuals through pairing and crossing and then inheriting the new individuals to the next generation; when the cross operator approaches the neighborhood of the optimal solution, the convergence to the optimal solution is accelerated through the local random search capability of the mutation operator.
9. A computer-readable storage medium, on which a computer program is stored, wherein the program, when executed by a processor, implements the steps in the method for optimizing lightning protection against broken wire of 10kV overhead insulated line according to any one of claims 1 to 4.
10. A computer device comprising a memory, a processor and a computer program stored on the memory and executable on the processor, wherein the processor when executing the program implements the steps in the method for optimizing lightning stroke and breakage protection of 10kV overhead insulated line according to any one of claims 1 to 4.
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