Optimization-based steady state analysis of three phase self-excited induction generator

This paper presents a steady state analysis of a three phase self-excited induction generator. The problem is formulated as a multidimensional optimization problem. A constrained optimizer is used to minimize a cost function of the total impedance or admittance of the circuit of the generator to obtain the frequency and other performance of the machine. Classic gradient optimizers are used for this purpose as "fmin" and "constr" routines built in basic Matlab. Unlike the other reported methods of analysis, the same equation is to be solved irrespective of the unknown parameters. The analysis presented is validated by experimental results.