Research on multi-element N-k fault model of power system based on AC power flow (implemented by Matlab code) [Power System Fault]

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本文目录如下：️️️

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目录

1 概述

2 Considering the multielement fault trend of communication importance measure（N-k）

3 Consider more elements failure elements of importance measure

3 数学模型

4 算例

5 MatlabCode implementation and the article in detail

6 写在最后

1 概述

Modern society depends on the critical infrastructure systems,如电力、水、天然气和石油、运输和电信网络等.电力系统尤其重要,Because the operation of most other infrastructure systems depends on the stable and reliable power supply[1].此外,The large capacity grid interrupt may lead to consequences,包括经济,社会,Physical and psychological affect.Function of power system reliability evaluation and risk of quantitative research is the purpose of the probabilistic estimates of various indicators,To measure the power system will be enough to provide total load at minimum cost.因此,According to a single component's contribution to the system level reliability analysis of the关键性For various purposes are important,For example, according to ranking resources priority,To determine the root cause of the interrupt,Improve maintenance plan,For the expansion plans provide information,To improve reliability and flexibility,To prevent cascading failure and optimize recovery,其中包括[2],[3],[4],[5].

In order to simulate the power system dynamics（And cascading failure process）,Importance and reliability of assessment system and quantitative component,Scholars and practitioners have adopted dc（DC）潮流模型,This is required for communication（AC）Model can deal with relaxation,According to the power balance equation and electrical engineering constraints to simulate the dynamics of power grid.Due to its linear feature,The dc flow model with calculation efficiency,因此被广泛应用（And the research on probability attractive）.然而,Dc current models are sometimes unable to approximate the actual cascade process,Because many control dc model assumptions may violate.特别是,Dc models ignore the reactive power balance equations,Assume that all are equal to each unit of voltage amplitude1,Ignore the line loss,And neglects the tap of transformer reactance dependence,仅举几例.因此,The pursuit of based onAC的模型[6].Nedic等人[7]使用ACOutage model validation and check1,000A bus network of criticality,The model represents many interactions in the cascading failure.但是,This model did not consider intergenerational adjust.因此,Mei等人[8]提出了一种基于AC-OPFAnd self-organized criticality theory studies a new method of power system cascading failures and blackouts,At the same time considering the mechanical process of fast and slow or quick.作为替代方案,Focusing on the cascade process,Using ac optimal power flow and communication trend model considering,In this paper, a model to simulate the power system based on communication of cascading failure,In order to better provide information resources priority.Based on the communication method of cascading failure not only depends on the tide of more accurate evaluation,Dc flow analysis and correct the inherent important phenomenon,Such as model based on dc overestimate how high负载节点重要性、To underestimate the tendency of low load node.

Through calculation of power system dynamics,Need a measure of the importance of each component based on performance degradation.自20世纪60S about importance measure of early work[9]以来,Have studied various importance measure（IM）,Based on the different standard to judge system components in relative strength.其中,Topological importance measure stems mainly from network science,Is one of the most widely used measure,包括度中心性,接近度中心性[10],Betweenness centrality[11],Information in the mind[12],PageRank [13],Hypertext induced theme选择算法（HITS）[14]等.In addition to the topologyIM之外,Structure importance measure[15],Life of importance measure[2],Elastic importance measure[3],[4],The risk importance measure[16],[17]Importance and reliability of measurement[18],[19]Can also be applied to different disciplines.

In risk importance index, for example,Have a lower risk（RR）措施,The lower risk value（RRW）措施,Fussel-Vesely（FV）Importance index[20],Risks to achieve（RA）指标,Risk value achievement（RAW）指标,以及Birnbaum重要性（BI）和偏导数（PD）指标[21]等[22].Some of the important measure can be easily converted to based on the importance of performance measure.例如,RA、RAW 和 FV 由 P（base）-P（i=0）、P（base）/P（i=0） 和 [P（base）-P（i=0）]/P（base） 计算,其中 P（base） Is the performance of original system,P（i=0） 是元素 i The performance of the system Has been removed from the system.These measures apply to most scheme,但不是全部.例如,Power systems are usually manage to meetN-1突发事件,This means that any failure of a component does not lead to any performance（Except for the loss of the component itself）,因此,Can't distinguish between the component importance level.此外,Events is often caused by the fault combination.为此,This paper puts forward a kind of trend component importance measure based on ac,The measure multiple components in the system's fault.

The elements of the proposed importance measure not only minimizing importance relationship,And application based onACCascading failure model to capture the trend of power system, the unique phenomenon of.Using the trend of the cascade model based on communication,Trend can better reflect the system performance and reliability,So you can more accurately assess the components of the importance of.因此,Suggest the importance of measurement can help decision makers and power grid companies to find the key elements of system,And more effectively perform reliability improvement.

2 Considering the multielement fault trend of communication importance measure（N-k）

The first step is importance in the measuring element find a method to simulate the tide before.This section summarizes the basic assumptions and definitions used for this purpose,And then put forward the cascading failure model based on ac trend analysis.之后,We introduced the importance element measure.

3 Consider more elements failure elements of importance measure

基于 Fussell-Vesely Importance thought[25],This paper proposes a system performance degradation rate the importance of measuring,So that the element is removed from the network when some elements quantitative importance.Importance in the measuring element only consider N-1 The problem is childish,Because the calculation may be part of or the importance of not across element discrimination.因此,This paper consider a more general N-k 问题（对于小 k）.Consider different types of element failure,Including bus and line.In this paper, the importance of measurement is suitable for the two types.

3 数学模型

详细数学模型见第5部分.

4 算例

5 MatlabCode implementation and the article in detail

本文仅展现部分代码,全部代码见：正在为您运送作品详情

tic
if isempty(k)
    P_shed = 0;
    P_served = sum(mpc.bus(:,PD));
else
    
    BRANCH_FAILURES = [];
    FROM_NODES = [];
    TO_NODES = [];
    
    Is_Converged = 0;
    BRANCH_FAILURES = k;
    FROM_NODES = From_nodes_k;
    TO_NODES = To_nodes_k;
    Failure_Branch = [];
    Node_From = [];
    Node_To = [];

 6 写在最后

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