Capacitance Requirement of Single Phase Self Excited Reluctance Generator Using Eigenvalues Criterion

During self-excitation of single phase reluctance generators, the variation of the value of magnetizing inductance, due to saturation, is the main factor that initiates and stabilizes the growing transient of generated voltage which continue to oscillate at a particular frequency and voltage at steady state. For the machine to self-excite, the excitation capacitance must be larger than some minimum value. In this paper the minimum capacitance required for initiating voltage build-up in single phase self excited reluctance generator (SPSERG) was determined by observing its state space eigenvalues. The capacitance of interest was allowed to vary over a permissible range and the minimum capacitance value that results in a negligible change in the SPSERG characteristic eigenvalues was the critical capacitance needed for the system to self excite