Steady-state behaviour of a magnetic frequency quintupler

In the paper a magnetic frequency quintupler of transformer type is considered. Starting from the symmetry conditions, a single-core equivalent circuit is proposed and serves as an aid in carrying a steady-state analysis. The mathematical model applied permits determination of core flux density and also all quintupler quantities under various load conditions as well as prediction of ferroresonant phenomena. Galerkin's procedure is employed under the assumption of four flux density harmonics in the core in order to obtain nonlinear algebraic equations which are solved by direct application of the Newton-Raphson method. Results of analysis are presented and on being related to the physical characteristics of the quintupler prove to have very good accuracy.