Frequency domain latency and relaxation-based harmonic analysis of nonlinear circuits

The authors describe a relaxation-based algorithm for the harmonic analysis of nonlinear circuits. They present iterated spectrum analysis based on the harmonic balance method, where this method is applied to every node independently. As a result, one can avoid dealing with large-scale Jacobian matrices and reduce the total simulation time, compared with the previous method based on the standard Newton-Raphson method. An algorithm with two types of latency, iteration latency and frequency-domain latency, is considered. A multirate-sampling technique based on consideration of the frequency-domain latency is proposed. The authors apply the present algorithm to a simple analog circuit simulation and verify its availability for harmonic analysis