Numerical analysis of a new magnetic frequency tripler with series-connected reactors

The authors propose a new magnetic frequency tripler with series-connected reactors, and present a numerical analysis of the tripler. In the analysis, φ-i characteristic of saturable reactor is approximated by fifth-order plynominal, and nonlinear ordinary differential equations for flux linkage are derived from an equivalent circuit. The nonlinear simultaneous equations, which are obtained by using the method of Harmonic Balance, are solved by an improved Newton´s method. The improved numerical method enables to determine optimum gap length and coil turns of the reactors. Experimental results, which are obtained by using the reactors with the numerically determined gap length and coil turns, show a constant voltage characteristic up to a certain load and a drooping characteristic above that load.