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

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

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