Numerical analysis of the steady-state response of nonlinear circuits using the trigonometric collocation method

A general formulation of the trigonometric collocation method I;TCM) for fi nding the steady-state response of nonlinear circuits, both autonomous and forced, is given. It is shown that the approximating equations of the TCR I I which are formulated in the time domain in terms of the samples of the so ught oscillation. are essentially equivalent to those resulting from the ha rmonic balance method (HBM). and are obtained avoiding the transformations between the frequency domain and the time domain, and vice versa, needed in the HEM. The TCM is also related and compared to other sample balance tech niques, showing the superiority of the presented method through its applica tion to some typical nonlinear circuits.