李氏指数及其在电力系统暂态信号分析中的仿真应用

Lipschitz exponent and its application in simulation of power system transient fault signals analysis

在分析电力系统暂态故障信号的奇异性和小波变换奇异性检测基本原理的基础上,得出电力系统暂态故障信号奇异性的特殊性,提出了利用小波变换进行故障暂态信号奇异性检测的方法,并描述了算法的基本思路以及李氏指数的计算步骤。对实际输电系统进行了仿真,通过对暂态故障信号的多尺度分析及各尺度上的信号重构,得出各尺度下的模极大值,从而计算出李氏指数并判断信号奇异性。

Based on the singularity analysis of transient fault signals in power system and the principles of its detection with wavelet transform,the particularity of the singularity is deduced. An approach to singularity detection for transient fault signals using wavelet transform is put forward,and the idea of the algorithm and the steps of Lipschitz exponent calculation are described. A practical transmission system is simulated. According to the multi-scale analysis of transient fault signals and the signal reconfiguration for each scale,the modulus maximum of each scale is obtained. The Lipschitz exponent is thus achieved to distinguish the singularity.