电力系统自动化2017，Vol.41Issue(6)：59-65,7.DOI:10.7500/AEPS20160701007
基于广义多项式混沌方法的电力系统时域仿真不确定性分析
Uncertainty Analysis of Time-domain Simulation for Power System Based on Generalized Polynomial Chaos Method
摘要
Abstract
Uncertainty analysis of power system time-domain simulation is mainly concerned with the study of the influence of uncertainty factors in power system on time-domain simulation results.It provides an important reference for analyzing the transient stability of power system under uncertain conditions.A method based on generalized polynomial chaos (gPC) is proposed for uncertainty analysis of time-domain simulation. Approximately, the method assumes that there exists a polynomial relationship between variables and random factors at any time.The solution procedure is as follows.Firstly,the optimal orthogonal polynomial basis function is acquired to approximate the random input variables and unknown variables. Then,by Galerkin method,the stochastic equations which describe the system's transient process are transformed into the corresponding deterministic equations. Finally, by solving these equations, the polynomial approximation coefficients of unknown variables are obtained,which can be used to calculate the statistical results and probability distribution of relevant variables at any time.Case study results from a single-machine infinite bus (SMIB)system and IEEE 9-bus system show the effectiveness of our method.关键词
暂态稳定/时域仿真/不确定性分析/广义多项式混沌方法/Galerkin法Key words
transient stability/time-domain simulation/uncertainty analysis/generalized polynomial chaos method/Galerkin method引用本文复制引用
肖磊,邱一苇,吴浩,由新红,宋永华..基于广义多项式混沌方法的电力系统时域仿真不确定性分析[J].电力系统自动化,2017,41(6):59-65,7.基金项目
国家自然科学基金资助项目(51377143).This work is supported National Natural Science Foundation of China(No.51377143). （51377143）
