Gain of the magnetic amplifier.

Abstract

In this thesis, the gain of the magnetic amplifier is derived theoretically as a function of different parameters of the circuit. An experimental circuit of a series-connected magnetic amplifier with a resistive load is set up to verify the theoretical results. Starting from Kirchoff's Voltage Law and Ampere's Law applied to the circuit, with the polynomial representation of the magnetization curve of the core material, a set of equations for currents and fluxes is obtained. These equations contain nonlinear terms. The Poisson perturbation method is used to solve the simultaneous nonlinear equations of fluxes. Successive approximations of core fluxes and currents can be made to get the theoretical results as close as required to the experimental results. Only the first approximation is computed in this thesis. The only difficulty one can encounter when using the perturbation method is the lack of knowledge of the region of convergence. The smallness of the coefficients which are negative of the nonlinear factors in this particular application contributes to the rapid diminution of the contribution from successive approximations.