摘要
随着大规模可再生能源与电动汽车等的接入,电力系统中随机激励的类型逐渐增加、强度逐渐增强,系统频率的动态安全问题引起人们的关注。该文首先提出了域内概率(系统频率在安全允许范围内的概率)作为随机激励对系统频率动态安全性影响的量化评估指标。基于后向Kolmogorov方程,提出了可以快速求解域内概率的半解析法。最后通过仿真对比蒙特卡洛法与半解析法,验证了所提方法的有效性和快速性。该文从随机微分方程角度,揭示随机激励对系统频率动态安全性的影响机理,为随机激励下系统动态频率的分析提供新的方法。
With the growing penetration of renewable power generation and electric vehicles, stochastic excitation has increased gradually in power systems, exerting a noteworthy impact on the system frequency dynamic security. This paper put forward the intra-region probability （the probability of system frequency being within the security region） as a quantitative assessment index. A semi-analytical method as a fast solution to intra-region probability was proposed based on the Kolmogorov＇s backward equation. The effectiveness and rapidity Of the proposed method were verified by comparison with the Monte Carlo method. From the perspective of stochastic differential equations, this paper revealed the impact mechanism of stochastic excitation on system frequency dynamic security, which may provide a novel analysis approach for the system frequency dynamic security under stochastic excitation.
作者
李洪宇
鞠平
余一平
黄晓明
楼伯良
黄弘扬
LI Hongyu JU Ping YU Yiping HUANG Xiaoming LOU Boliang HUANG Hongyang(College of Energy and Electrical Engineering, Hohai University, Nanjing 210098, Jiangsu Province, China Electric Power Research Institute, State Grid Zhejiang Electric Power Corporation, Hangzhou 310014, Zhejiang Province, China)
出处
《中国电机工程学报》
EI
CSCD
北大核心
2017年第7期1955-1962,共8页
Proceedings of the CSEE
基金
国家重点基础研究发展计划项目(973计划)(2013CB228204)
江苏省2015年度普通高校研究生科研创新计划项目(KYZZ15_0480)~~
关键词
随机激励
系统频率
动态安全性
域内概率
半解析法
随机微分方程
后向Kolmogorov方程
stochastic excitation
system frequency
dynamic security
intra-region probability
semi-analytical method
stochastic differential equations
Kolmogorov＇s backward function
