Harmonic balance and frequency domain relaxation of nonlinear feedback systems

The use of frequency-domain methods in the simulation of nonlinear feedback systems is investigated. Because of their inherent structure, one is usually forced to implement time-domain simulations by serial techniques that are not capable of effectively exploiting parallel and vector processing capabilities. Frequency-domain techniques are more likely to give rise to vector and matrix operations which are amenable to parallel and vector processing; however, they are generally less efficient in dealing with nonlinearities. An examination is made of some fundamental theoretical issues concerning the frequency-domain simulation of nonlinear feedback systems and of applications to the transient analysis of power distribution models in which the individual generators are modeled by nonlinear feedback systems