This paper presents a simple, closed-form, analyticalmethod for the analysis of
self-excitedinduction generators (SEIG). In this method no numerical solution
methods are required to obtain the frequency of operation of the SEIG, and an
explicit analytical expression for the operating frequency corresponding to any
speed, load impedance, and excitation capacitance is derived.
The validity of the proposed method was checked by comparing its results
with the results obtained by the use of the conventional methods in which numerical
solution methods must be used. The results obtained from the proposed
analytical method are identical at no-load condition and almost identical for
other loading conditions, with the results obtained from previously used numerical
methods.