Nonlinear analysis of ferrite-core circuits

An analysis is presented of the behavior of magnetic-core circuits employing rectangular-hysteresis-loop ferrite toroidal cores, and switched by a constant-current source. The analysis embraces simple magnetic-core circuits with various loads, multi-path-core circuits, cascaded-core circuits and air-gap-core circuits. The method of analysis presented is based upon an extension of A. Papoulis' unpublished work. It is known that the response or terminal properties of various magnetic-core circuits can be described analytically in a set of nonlinear equations. A form of graphical analysis is used to solve the nonlinear differential equations, and phase-plane trajectory is used to solve the nonlinear integral equations. Experiments have been conducted to verify the theoretical methods; theoretical calculations proved to be a close approximation to measured values.