Periodic steady state solution of FACTS devices based on SPWM VSCs

This paper details a technique in the time domain for the fast periodic steady-state solution of systems including flexible AC transmission systems (FACTS) based on sinusoidal pulse width modulation (SPWM); two models for the practical representation of their voltage source converters (VSC) are used. The computation of the periodic steady-state solution of power systems including FACTS is efficiently obtained by extrapolation to the limit cycle using a Newton method based on the discrete exponential expansion. The periodic steady state solution is validated against the solution obtained with the power systems blockset of SIMULINK.