Selective Modal Analysis with Applications to Electric Power Systems, PART I: Heuristic Introduction

Mass fluctuation kinetics: analysis and computation of equilibria and local dynamics

“…See [13] and [14] for developments of this idea. Choosing W = V 1 ensures that nv P k=1 p kq = 1 and enables a matrix of participation factors with rows corresponding to z and columns corresponding to eigenvalues f q g nv q=1 to be computed as…”

Systematic approach to consider system contingencies in PSS design

“…. ., n) denote the imaginary part of mth electro-mechanical modes under different operating conditions and a selective modal analysis method is adopted to identify these modes [21];˛0 and 0 are damping threshold values for pre-contingency condition,˛C and C denote damping threshold values for post-contingency condition.…”

Physical parameter sensitivity of system eigenvalues and physical model reduction

“…The concept of participation factor was developed in [11] to measure the degree of participation of a state variable in a mode. Therefore, participation factor p ki can be interpreted as the weight of the participation of ith mode in the kth state component.…”

“…Therefore, participation factor p ki can be interpreted as the weight of the participation of ith mode in the kth state component. Simply, the participation factors can be seen as right eigenvectors weighted by left eigenvectors [11]. Using the participation values, a participation matrix can be formed as [11].…”

“…One of these methods, the participation factor approach, has been extensively used for the analysis of power systems [10,11]. Dynamic systems with large number of state variables, such as power systems, are often too complex to be analyzed.…”