保障各种复杂故障工况下解优质率的电网故障诊断解析模型
An Analytical Model for Power Grid Fault Diagnosis to Ensure High-Quality Solutions under Various Complex Fault Conditions
王英英 1金明亮 1李勇 1许浩千 2林湘宁 3翁汉琍 2李正天 3魏繁荣3
作者信息
- 1. 国家电网有限公司华中分部,湖北武汉 430070
- 2. 三峡大学电气与新能源学院,湖北宜昌 443002
- 3. 华中科技大学强电磁工程与新技术国家重点实验室,湖北武汉 430074
- 折叠
摘要
经典电网故障诊断解析模型是非线性 0-1 整数规划模型,其难以精确求解,启发式算法虽能获得可行解,但求解准确性和一致性难以保证,且求解时间较长,不利于基于诊断结果的故障排查和设备运维.对传统故障诊断模型进行改进,降低了模型的复杂度,实现了目标函数的线性化,据此构建了基于整数线性规划的电网故障诊断解析模型.Gurobi具有将启发式算法和整数线性规划求解算法有机结合的优点,将其应用于求解基于 0-1 整数线性规划的诊断模型,解决了传统启发式寻优算法因算法自身的局限性而陷入仅获得局部最优解甚至错解、以及求解速度慢等问题.通过算例对新型电网故障诊断模型的有效性和优越性进行验证,结果表明:相较于基于遗传算法、模拟退火算法、粒子群算法等启发式算法的传统模型,改进模型求解的速度与精度均显著得到了提高.
Abstract
The classical power grid fault diagnosis analytical model based on integer programming is of simple logic,strong interpretability,and strong practicality.However,it is constrained by the relatively high dimensionality of the models,making it challenging to employ precise algorithms for objective function solving.As a substitute,heuristic optimization algorithms like genetic algorithms are utilized,resulting in solutions with only approximate accuracy.Furthermore,each attempt at solving may yield inconsistent results,leading to an increase in misdiagnosis rates.Additionally,heuristic algorithms entail longer solving times,which are detrimental to fault identification based on diagnostic outcomes and equipment maintenance.To address these challenges,this study enhances traditional fault diagnosis models by linearizing the objective function,thereby reducing model complexity.This adjustment paves the way for the introduction of Gurobi,a strong commercial solver tailored to integer linear programming problems.Leveraging the characteristics of Gurobi heuristic algorithms and linear programming,we propose a solution approach for diagnosing models based on 0-1 integer linear programming.This approach overcomes the limitations of traditional heuristic optimization algorithms,which often get trapped in local optima,produce erroneous results,or exhibit slow solving speeds.Finally,through numerical examples,the effectiveness and superiority of the novel power grid fault diagnosis model are validated.The results demonstrate that compared to the traditional models that employ heuristic algorithms like genetic algorithms,simulated annealing,or particle swarm optimization for solving,the improved model significantly enhances both speed and accuracy in solving.
关键词
电网故障诊断/解析模型/0-1整数线性规划/复杂故障/信息容错/全局最优解Key words
power grid fault diagnosis/analytical model/0-1 integer linear programming/complex faults/information fault tolerance/global optimal solution引用本文复制引用
基金项目
国家电网有限公司科技项目(521400230004)
出版年
2024
NETL
NSTL
万方数据