Bifurcation analysis of Static Synchronous Compensator with reactive current controller

This paper presents bifurcation analysis of static synchronous compensator (STATCOM) (with detailed model) with reactive current controller. The discrete time model of the system is derived. The stability region in the parameter space is obtained for different values of reactive current. The analysis is done for type II controller where the parameters are the proportional and integral gains. It is found that increase in integral gain results in period doubling bifurcation and increase in proportional gain results in border collision bifurcation. The stability analysis is compared with that for simplified STATCOM model neglecting harmonics.