Abstract

This article presents the steady-state modeling and analysis of a six-phase self-excited induction generator for stand-alone renewable generation. The basis of the analysis is the nodal admittance method based on graph theory as applied to the equivalent circuit. The proposed steady-state generalized model of a six-phase self-excited induction generator dispenses with the tedious work of segregating real and imaginary components of the complex impedance of the induction generator for deriving the specific models for each operating mode. Graph theory based matrix equations are easier to modify in order to account for specific effects such as uncompensated and compensated operation. The resulting equations have excellent symmetry, which makes the analysis very easy, fast, and accurate. The matrix equations developed by the nodal admittance method are solved by a genetic algorithm to determine the steady-state performance of a six-phase self-excited induction generator. The analytical results are found to be in good agreement with experimental results.

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