Steady-state sinusoidal response of circuits with a nonlinear inductive element

The determination of the steady-state sinusoidal response of nonlinear circuits has been described. The circuits analysed have a single nonlinear, bilateral, inductive element. A gradient technique has been used to determine the initial state of the circuit. Integration of the state equations from this initial state over successive time steps gives the steady-state response. The magnetisation current of a small transformer has been calculated using this technique and it agrees well with the measured magnetising current.