电网技术Issue(8)：2057-2062,6.DOI:10.13335/j.1000-3673.pst.2014.08.006
基于离散Markov理论的电力系统跳变时滞稳定性分析
Discrete Markov Theory Based Analysis on Jump Time-Delay Stability of Power System
摘要
Abstract
Based on discrete Markov theory, an analysis method of jump time-delay stability of power system is proposed. Firstly, a kind of Lyapunov-Krasovskii fonctionelle, in which the transition probability density matrix is considered, is established and the derived function of this fonctionelle along the system is solved;then the loose items constructed by Newton-Leibniz formula are added to this derived function to reduce its conservative property; on this basis, a set of linear matrix inequalities are constructed, and the generalized eigenvalue are utilized to solve the maximum time-delay that power system can bear under such jump operating conditions as operation mode adjustment, variation of operating parameters, load fluctuation and so on. Time-domain simulation results of IEEE 16-machine 68-bus system show that the proposed method is effective and correct in the solving of upper limit of power system time-delay stability while the jump characteristics of power system is taken into account.关键词
离散 Markov 理论/电力系统/跳变时滞稳定性/L-K泛函/广义特征值Key words
discrete Markov theory/power system/jump time-delay stability/L-K fonctionelle/generalized eigenvalue分类
信息技术与安全科学引用本文复制引用
马静,李俊臣,朱祥胜,王增平..基于离散Markov理论的电力系统跳变时滞稳定性分析[J].电网技术,2014,(8):2057-2062,6.基金项目
国家重点基础研究发展计划项目(973项目)(2012CB215200)；国家自然科学基金项目(51277193,50907021)；中央高校基本科研业务费专项资金资助项目(2014ZZD02)。The National Basic Research Program of China (973 program)(2012CB215200) （973项目）
Project Supported by National Natural Science Foundation of China (51277193,50907021) （51277193,50907021）
Project Supported by the Fundamental Research Funds for the Central Universities (2014ZZD02) （2014ZZD02）
