A numerical analytical approach for the optimal capacitor used for the self excited induction generator

This present paper deals with an approach for the steady state analysis of three self excited induction generators (SEIG). When an induction generator is used in isolated operation, it operates in self-excitation mode. It determines its own voltage and frequency which depend on the value of the static bank capacitor, the induction machine parameters, the electrical load, and the speed of the generator. The lagging reactive power required by an SEIG is obtained for different values of load. An algorithm is developed to achieve these characteristics using the Runge-Kutta method and steady state equivalent circuit of the machine. The developed analytical technique is extended to evaluate the optimal bank capacitors such that the voltage is maintained within desired limits.