Formulation of magnetic amplifier circuit equations

MODERN magnetic amplifier circuitry makes use of two highly nonlinear elements, namely, rectifiers and square-loop magnetic cores. This paper presents a systematic method of analyzing circuits containing any sort of piecewise linear element that does not involve energy storage. The analysis utilizes a unique method of formulating circuit equations and a new type of symbolism and algebra, especially developed for the purpose, that allows operations on and simplifications of the resultant expressions.