“点”“域”结合法在低频振荡分析中的应用

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摘要随着互联电网规模的不断扩大, 大区互联电网区域间的低频振荡已成为威胁电力系统安全的重要因素之一。基于传统的希尔伯特-黄变换(HHT)和复奇异值分解(C-SVD), 本文提出了一种“点”“域”结合的低频振荡分析方法。对于测量“点”, 也就是单一的测量信号, 首先对滤波去噪以后的信号进行经验模态分解(EMD), 得到固有模态函数(IMFs), 并建立虚拟空间场来分析IMFs之间的能量分布关系, 然后利用Hilbert变换来计算主导振荡模态的时变振荡参数;对于测量“域”, 利用C-SVD来提取主导振荡模态的动态时变特性和能量空间分布。通过比较“点”和“域”的计算结果来确定主导振荡模态的时变振荡参数和空间分布。仿真算例和实测数据的计算结果证明算法的可行性和有效性。

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	杨德昌
	Christian.Rehtanz
	李勇
	Kay.Gö
	rner
	刘前进

关键词 ：经验模态分解, 固有模态函数, 虚拟空间场, 矩阵, 复奇异值分解, 能量比, 振荡模态形状

Abstract：With the rapid development of inter-connected power system, the low frequency Oscillation has become one of serious factors threatening the power system stability. Based on the traditional Hilbert-Huang Transform(HHT) and complex singular value decomposition(C-SVD), a novel method which combines “single measured signal” and “ensemble measurement matrix” is proposed to analyze low frequency oscillation problems in this paper. As for the individual measured signal, the energy relationships among intrinsic mode function(IMF) are explored by setting virtual ensemble matrix based on the decomposition results of empirical mode decomposition(EMD). And then the instantaneous parameters of dominant IMF are calculated by Hilbert Transform. As for the ensemble measurement matrix, C-SVD is utilized to extract the dominant proper orthogonal mode(POM). Next, the temporal characteristics and spatial distribution of dominant POM are analyzed. The oscillatory parameters and mode shape of dominant oscillation mode are determined by comparing the calculated results based on two mentioned different methods. The effectiveness of the proposed method is demonstrated by the simulation data and actual data in Europe transmission system.

Key words： Empirical mode decomposition intrinsic mode function virtual ensemble matrix complex SVD energy ratio oscillation mode shape

收稿日期: 2011-09-07 出版日期: 2014-03-20

PACS:

TM712

作者简介: 杨德昌男, 1983年生, 讲师, 主要研究方向为交直流互联电力系统的广域监测和稳定控制, 电力工程信号处理分析。Christian Rehtanz 男, 1968年生, 教授, 博士生导师, 主要研究方向为大规模互联电力系统的安全稳定控制、FACTS控制技术和广域测量系统在智能电网中的应用。

引用本文:

杨德昌, Christian.Rehtanz, 李勇, Kay.Görner, 刘前进. “点”“域”结合法在低频振荡分析中的应用[J]. 电工技术学报, 2012, 27(9): 134-139. Yang Dechang, Christian.Rehtanz, Li Yong, Kay Görner, Liu Qianjin. Application of “Individual” and “Ensemble” Integration Method inLow Frequency Oscillation Analysis. Transactions of China Electrotechnical Society, 2012, 27(9): 134-139.

链接本文:

http://dgjsxb.ces-transaction.com/CN/Y2012/V27/I9/134

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