Switching frequency dependent averaged model for STATCOM

A static compensator (STATCOM) is a FACTS controller, which can either absorb or deliver reactive power to power systems. Here it is modelled using an averaging approach, resulting in an equivalent circuit model. To achieve this, the state space equation of STATCOM is averaged to get an average mathematical model, leading to a circuit model. Theoretical considerations show that the averaged model should agree well with the original system, and this is concerned by MATLAB and PSpice simulations. The solution is expandable as a Fourier series, which can be suitably truncated.