A new method to determine saturated magnetizing reactance and frequency of a single-phase self excited induction generator towards steady state analysis

Steady state analysis of single-phase self excited induction generator is almost always carried out using the concepts of symmetrical components and the rotating field theories. The machine is modeled through its positive and negative sequence circuits with appropriate parameters pertaining to forward and backward fields. The final expression obtained through these analyses is a complex nonlinear equation with magnetizing reactance and frequency as two unknown quantities. Once the equation is solved and the values of magnetizing reactance and frequency precisely evaluated, the analysis of the machine performance becomes straight forward. This paper presents the use of “fsolve” optimization tool of Matlab in solving this complex equation yielding magnetizing reactance and frequency which, finally helps in the complete steady state analysis of the single-phase self excited induction generator. The method is found to be elegant and user-friendly.