Two solution techniques for the steady-state analysis of a self-excited induction generator (SEIG) are presented in this paper. The first technique employs a novel parameter elimination procedure to yield a 7th-degree polynomial in the per-unit frequency, numerical solution of which enables the performance of the SEIG to be determined. The second technique employs symbolic programming for the derivation and solution of the the high-order polynomial. The symbolic programming technique is further extended to the analysis of a voltage compensated SEIG using long-shunt connection. Very good agreement between experimental and computed results have been obtained on a 2 kW laboratory machine.
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