A New Robust Harmonic Balance Calculation Method Based On Feedback Control Loop

Numerical solution of non-linear circuits excited by a periodic input involved in electronics and communications is one of the most popular usages of applied mathematics inengineering. The classic method for solving problems of that type is The Harmonic Balance Method. This method separatesthe circuit into linear and non-linear parts that are connected to each other in some nodes. Whenever nodal KVL and KCL equations are satisfied in those nodes in some desiredfrequencies, the solution is achieved. In this paper a new reformation of harmonic balance method is introduced basedon the idea of feedback control-loop. The proposed method has an obviously better stability and robust performance under different variations of circuit parameters while its convergence rate is almost the same in various situations.

Keywords:

Harmonic Balance , Feedback Control Loop , stability , robustness