Institute of Electrical and Electronics Engineers IEEE
Abstract
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 (if th-order plynominal, and nonlinear ordinary d ifferencial equations for flux linkage are derived from an equ ivalenc circuit. The nonlinear simultaneous equations, which are obtained by using the method of Harmonic Balance, are solved by an improved Newton\u27s 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