Title :
Nonlinear Koopman Modes and Coherency Identification of Coupled Swing Dynamics
Author :
Yoshihiko Susuki;Igor Mezic
Author_Institution :
Department of Mechanical Engineering at the University of California, Santa Barbara, CA, USA
Abstract :
We perform modal analysis of short-term swing dynamics in multi-machine power systems. The analysis is based on the so-called Koopman operator, a linear, infinite-dimensional operator that is defined for any nonlinear dynamical system and captures full information of the system. Modes derived through spectral analysis of the Koopman operator, called Koopman modes, provide a nonlinear extension of linear oscillatory modes. Computation of the Koopman modes extracts single-frequency, spatial modes embedded in non-stationary data of short-term, nonlinear swing dynamics, and it provides a novel technique for identification of coherent swings and machines.
Keywords :
"Power system dynamics","Transient analysis","Nonlinear dynamical systems","Modal analysis","Spectral analysis"
Journal_Title :
IEEE Transactions on Power Systems
DOI :
10.1109/TPWRS.2010.2103369