Single-core magnetic amplifier analysis

A REVIEW OF THE literature concerned with magnetic amplifiers has revealed a multitude of articles dealing with the load circuit and sometimes control circuit response of single-core amplifiers employing the self-saturation principle. These discussions all have utilized specific assumptions which in each case were aimed toward an ultimate simplification of the mathematical manipulations directed toward the solution of the required response. In some cases the assumptions are valid; however, the general case of magnetic amplifier operation often suffers because of the specializations thus used. It therefore seems worth while to consider a rigorous mathematical analysis based upon the existence of finite forward and reverse rectifier resistances as well as a flux-current loop of finite area and finite slope.