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A mathematical model is presented that accurately predicts the steady-state performance characteristics of three-phase self-excited induction generators operating in parallel and supplying a balanced load. It is shown that it is possible to reduce the (n+1) nonlinear equations which are required in the steady-state analysis of an n machine system, to the solution of only two nonlinear equations. The results show that induction machines with similar or different parameters and speeds can be operated in parallel, and their steady-state performance characteristics can be accurately predicted. The performance characteristics of such machines are influenced by their excitation capacitance, load impedance and load power factor, as well as speeds, parameters and magnetising characteristics. Typical cases have been investigated for a number of test machines operating in parallel, and predictions of the proposed method have been verified experimentally.
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Al-Bahrani et al. (1993) studied this question.
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