低频振荡模式非线性相关作用的高阶谱非参数直接分析法  

Low Frequency Oscillation Modes Nonlinear Interactions Analysis Using Higher Order Spectrum Non-parametric Direct Method

作　　者：李勋[1] 龚庆武[1] 乔卉[1] 关钦月[1] 贾晶晶[1] 

机构地区：[1]武汉大学电气工程学院,湖北省武汉市430072

出　　处：《中国电机工程学报》2013年第7期61-68,18,共8页Proceedings of the CSEE

基　　金：中央高校基本科研业务费专项资金资助(201120702020012)~~

摘　　要：为克服特征分析法无法反映大干扰下强非线性系统所激励的复合模式,而传统的非线性数值解法存在截断误差和计算效率低的缺点,提出一种用于分析低频振荡模式非线性相关作用的新方法。该方法将高阶谱理论中非参数直接法应用于低频振荡模式分析,通过双谱分析及双相干系数辨识模式间的二次相位耦合信息,能够定量分析模式间的非线性耦合程度,为分析强非线性系统的稳定性及动态特性提供了一种新的有效途径。数值仿真结果验证了该方法的实用性与有效性。A novel algorithm for analyzing low frequency oscillation modes nonlinear interactions was proposed to avoid the disadvantages of the eigenvalue analysis method and the traditional nonlinear numerical solutions.The eigenvalue analysis method could not reveal the compound modes in oscillatory processes following large perturbations,and the traditional nonlinear numerical solutions had truncation errors and low computational efficiency.The non-parametric direct method of higher order spectrum theory was applied to analyze low frequency oscillation modes and the quadratic phase coupling information among modes were identified by using bispectrum estimation and bicoherence analysis.The nonlinear coupling degree between modes can be quantitatively calculated in this method,which provides a new way to study the stability and the dynamic behavior of power systems with strong nonlinearity.The feasibility and effectiveness of the proposed approach were verified by the numerical simulation results.

关 键 词：低频振荡模式 非线性相关作用 高阶谱 非参数直接法 双谱估计 双相干系数 二次相位耦合 

分 类 号：TM71[电气工程—电力系统及自动化]