基于半不变量及最大熵原理的静态电压稳定概率分析

郑晓钿; 夏成军

doi:10.19912/j.0254-0096.tynxb.2020-0628

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太阳能学报 ›› 2022, Vol. 43 ›› Issue (3) : 126-132. DOI: 10.19912/j.0254-0096.tynxb.2020-0628

基于半不变量及最大熵原理的静态电压稳定概率分析

郑晓钿, 夏成军

作者信息 +

PROBABILITY ANALYSIS OF STATIC VOLTAGE STABILITY BASED ON SEMI-INVARIANT AND MAXIMUM ENTROPY PRINCIPLE

Zheng Xiaotian, Xia Chengjun

Author information +

文章历史 +

摘要

针对含不确定出力的静态电压稳定分析问题,提出一种基于半不变量及最大熵原理的静态电压稳定概率分析方法。首先,应用拉丁超立方采样法随机生成若干场景后利用K-均值算法进行场景聚类,获取每簇场景的高阶矩和半不变量等数字特征,进而建立最大熵模型拟合负荷裕度的概率分布曲线,将每一簇的分布曲线加权后求得总的分布函数;最后,在IEEE 30节点系统上进行仿真实验,计算结果与蒙特卡洛法结果进行比较和验证。

Abstract

Aiming at the problem of static voltage stability analysis with uncertain output, a probabilistic analysis method of static voltage stability based on semi-invariant and maximum entropy principle is proposed. First, after randomly generating several scenes by Latin hypercube sampling method, the K-means algorithm is used to perform scene clustering, and higher moments and semi-invariants of each cluster are obtained. Then, the maximum entropy model is established to fit the probability distribution curve of the load margin, and then the distribution curve of each cluster is weighted to obtain the total distribution function. Finally, a simulation experiment is performed on the IEEE 30-bus system, and the calculation result is compared and verified with the Monte Carlo method.

导出引用

郑晓钿, 夏成军. 基于半不变量及最大熵原理的静态电压稳定概率分析[J]. 太阳能学报. 2022, 43(3): 126-132 https://doi.org/10.19912/j.0254-0096.tynxb.2020-0628

Zheng Xiaotian, Xia Chengjun. PROBABILITY ANALYSIS OF STATIC VOLTAGE STABILITY BASED ON SEMI-INVARIANT AND MAXIMUM ENTROPY PRINCIPLE[J]. Acta Energiae Solaris Sinica. 2022, 43(3): 126-132 https://doi.org/10.19912/j.0254-0096.tynxb.2020-0628

中图分类号： TM74

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