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

发布时间：2018-01-13 18:33

本文关键词：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　出处：《电力系统自动化》2017年06期 　论文类型：期刊论文

【摘要】：电力系统时域仿真不确定性分析主要研究电力系统中不确定性因素对时域仿真结果的影响,为分析不确定情况下系统的暂态稳定性提供重要依据。提出一种基于广义多项式混沌方法的时域仿真不确定性分析方法。该方法近似认为变量在任一时刻与随机因素之间存在多项式关系。求解时首先获取最优的正交多项式基函数,对随机输入变量及待求变量实施多项式逼近,并基于Galerkin法,通过投影运算将描述系统暂态过程的随机方程转变为相应的确定性方程。求解该方程,可得待求变量的多项式逼近系数,进而获得相关变量在任一时刻的统计特征及概率分布。单机无穷大系统和IEEE 9节点系统算例验证了所提方法的有效性。
[Abstract]:The uncertainty analysis of power system simulation in time domain mainly studies the influence of uncertainty factors in power system on the simulation results in time domain. In order to provide an important basis for the analysis of transient stability of uncertain systems, a time-domain simulation uncertainty analysis method based on generalized polynomial chaos method is proposed. The method approximates that variables are at any time and random. The optimal orthogonal polynomial basis function is obtained when solving the problem. The polynomial approximation is applied to the random input variables and the variables to be solved, and based on the Galerkin method. The stochastic equation describing the transient process of the system is transformed into the corresponding deterministic equation by projection operation, and the polynomial approximation coefficients of the variables to be solved can be obtained by solving the equation. Then the statistical characteristics and probability distribution of the correlation variables at any time are obtained. The effectiveness of the proposed method is verified by the examples of single-machine infinite bus system and IEEE 9-node system.
【作者单位】：浙江大学电气工程学院;
【正文快照】： 上网日期:2016-11-08。0引言电力系统暂态稳定分析研究在受到大扰动作用下,电力系统的动态行为和保持稳定同步运行的能力[1]。其研究方法主要包括时域仿真法、直接法和混合算法[2]。其中,时域仿真法适用范围广,且分析结果可靠,已在电力系统规划、设计与运行中得到了广泛的应用

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