Transient and steady-state analysis of the UPFC using a Fourier series approach model

This paper deals with the UPFC model based on Fourier series. The model is described on detail. The proposed model can be used both transient and steady state analysis. The computation of the periodic steady state solution of a power system with UPFC including the UPFC control is efficiently obtained by extrapolation to the limit cycle using a Newton method based on a Numerical Differentiation (ND) procedure. The proposed model is validated against the solution obtained with the Power System Blockset (PSB) of SIMULINK.