A channel matching approach for estimating electromechanical mode shape and coherence

A method of estimating a power system's electromechanical mode shape and coherence from time synchronized phasor measurements is presented. The approach uses a parametric estimate of the transfer function (TF) between signals at different buses throughout the power system. The relationship between the TF and mode shape and coherence is reviewed. A non-causal autoregressive exogenous (ARX) model is used in a least squares (LS) minimization to estimate the TF parameters and to estimate the magnitude squared coherence function. The method is applied to both a simulated system and measured data from the western North American power system and is compared to the traditional Welch periodogram averaging approach.