Autonomous reluctance generator

A single-phase autonomous reluctance generator is analysed as an oscillator with time varying parameters. It is shown that the reluctance generator ca n be modelled by the parametric Hill's equation. The necessary condition fo r generating AC output power is obtained by using different methods of anal ysis. Furthermore. when the inductance varies as a square wave: using a pie cewise method solves the RG differential equation in an exact manner. In th is case, the RG could be driven at a different rotor velocity to elicit the same resonant current and voltage frequency. The analysis is verified by e xperimental and simulation results.