The Hănțilă method has proven its effectiveness in solving non-linear three-phase circuits. It is the only effective method for analyzing non-linear three-phase circuits containing machines with different sequence reactances. Since solving a system of equations is unnecessary, the computational effort is reduced, and a large number of harmonics can be considered. The convergence of the method is certain - demonstrated mathematically and allows the use of overrelaxation. To develop the method, we analyze the efficiency of computing a dynamic overrelaxation factor for accelerating the computational algorithm.