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多项式混沌理论在电气系统不确定性研究中的应用概述

, PP. 247-255

Keywords: 多项式混沌理论,电气系统,不确定性分析

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Abstract:

电气工程领域的研究中一般都要用到系统准确的数学模型。但在实际应用中,理想的条件很难达到,因而建模过程中需要考虑系统的不确定性因素。本文简要的介绍了多项式混沌理论的基本概念,与传统的蒙特卡罗方法相比,多项式混沌理论具有更快速的运算能力,更适合于实时在线应用。重点介绍了多项式混沌理论在电气工程领域不确定性研究中的应用,例如,基于多项式混沌理论的状态观测器设计、控制器设计、传感器故障诊断设计、保护系统设计以及状态监控与估计等。并给出了简要的仿真结果,证实其可行性。

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