This paper presents a direct analytical method for the determination of the operating frequency of a system composed of a self-excited induction generator (SEIG) feeding an induction motor (IM). In the method presented, results are obtained for different operating conditions of the SEIG/IM system. The presented analytical approach was verified by comparing the results obtained from it, at different operating conditions, with previously published results obtained numerically, with the induction motor considered as equivalent to a static R-L load. The two sets of results were found to be almost identical.