Additional Losses in Frequency Tripler Windings

Magnetic frequency triplers under construction have mega-Watt outputs1 and accurate determination of their winding losses is essential. Methods established for rotating machines and transformers2,4,5 are inadequate for frequency multipliers which have highly distorted primary current and higher frequency output current. The additional loss caused by the magnetic flux in the cross-sections of the windings is the sum of the losses from each flux harmonic. The direct analytical method is used to calculate the losses in each wire of the windings. This method consists in solving Helmholtz’s equation with boundary conditions defined by the distribution of the magnetic field acting on the wire3. This solution makes possible calculation of the additional loss factors in the tripler windings.