Excitation requirements of three phase self-excited induction generator under single phase loading with minimum unbalance

This paper presents an optimization method to determine the excitation requirements of three phase self-excited induction generator under single phase mode of operation. A single phase load is connected to the generator through two excitation capacitors. The values of these capacitors are chosen to ensure minimum self-excitation of the machine in addition to minimization of the unbalance between the stator voltages. The problem is formulated as a multi-dimensional optimization problem. A sequential genetic (GA)/gradient optimizer is used to minimize a cost function of the summation of the equivalent impedance of the generator plus the ratio of the negative to the positive sequence voltages, to obtain the values of the frequency and the excitation reactances. These values are then used to determine the other performance of the machine. A classic gradient solver initialized by a simple GA is used to solve for the unknown parameters in the formulated optimization problem