Steady-state analysis of magnetic amplifiers

TO DATE, several methods have been introduced to compute the output currents of self-saturating magnetic amplifiers. These analyses are based either on a number of restricting assumptions, such as idealized magnetization curves, or are cumbersome to perform, such as a point-by-point integration. The basic method proposed in this article is between these two extremes; it consists of approximating the magnetization curve by a series of straight lines. Over each region of the magnetization curve, represented by one straight line, the reactor behaves like a constant inductance whose magnitude is proportional to the slope of this line. As the reactor magnetization varies from one region into an adjoining region, the equivalent fixed inductance changes abruptly from one value to another.