GENERAL-PURPOSE ANALYSIS OF NONLINEAR CIRCUITS CONTAINING SATURATING HYSTERETIC INDUCTORS BY THE HARMONIC-BALANCE TECHNIQUE

The systematic application of the harmonic-balance (HB) technique to n onlinear circuits containing saturating/hysteretic inductors subjected to high driving levels is discussed. Ferromagnetic hysteresis is desc ribed by the Jiles-Atherton (JA) model. The traditional HB approach is extended to accept a generalized parametric formulation of the nonlin earities allowing the JA model to be dealt with in a straightforward w ay. The nonlinear HB system is solved by Newton iteration coupled with the exact calculation of the Jacobian matrix and an advanced norm-red uction scheme. This results in excellent robustness and fast convergen ce of the analysis algorithm even at very large signal levels, in spit e of the high nonlinearity of the JA differential equation. Two techni ques for finding the initial magnetization curve are also discussed. T he proposed approach is validated by comparing the hysteresis cycles o f several materials obtained from HB calculations with time-domain and experimental results. An example of a general nonlinear circuit analy sis problem is also provided. The analysis technique is complemented b y a systematic algorithm for the local and global stability analysis o f the large-signal steady state.