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.
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