A graphical method to determine the transient response of a class of non-linear networks

Abstract

This paper describes a new graphical method for analysing the transient phenomena of some important non-linear lumped parameter networks as well as simple transmission line networks. The method is based on the approximation of the lumped networks by ideal homogeneous transmission lines. The transient behaviour of the transmission line circuits is then obtained by graphical means from the finite difference equations describing these networks. A number of examples such as a tunnel diode oscillator, a ?-equivalent pulse transformer circuit and others, illustrate the method. The graphical approach is extremely well suited for investigation of various sine-wave and square-wave oscillators, monostable and bistable circuits, as well as simple transmission line circuits.