A 3-PHASE INDUCTION MACHINE GENERATING SINGLE-PHASE POWER USING AN OPTIMIZATION ALGORITHM

This paper presents a performance analysis of a three phase self excited Induction machine as a single phase generator specially suitable for remote and isolated areas of developing countries utilizing local renewable energy sources like wind, small hydro etc, to reduce the burden on main grid and subsequently relaxation for depleting precious conventional energy sources. A series parallel combination of capacitors has been considered for the self-excitation of the Induction machine being used as generator. In the entire process of power generation from an Induction machine, the magnetization reactance and per unit frequency are the most crucial. A multivariable objective function (absolute value of the complex loop impedance formed using the conditions set in the equivalent ckt of the SEIG system. The unknown variables of the equivalent circuit (magnetizing reactance and generated frequency) of the system are solved by minimizing the objective function considering the bounds of the unknown as external constraint. The constraint optimization problem is converted into a series of unconstrained problem and than Rosenbrock’s rotating method of optimization technique is applied to find the minimum value of the objective function. The Sequential Unconstraint Minimization Technique (SUMT) in conjunction with rotating coordinates method of Rosenbrock’s has been chosen for calculation of magnetizing reactance and per unit frequency on which the performance characteristics of the Induction generator are derived. The results are reported for a 6KW machine.