Title :
An effective method for generating initial condition in harmonic balance analysis using method of nonlinear currents
Author :
Farsaei, Ahmad Reza ; Safian, Reza
Author_Institution :
Electr. & Comput. Eng. Dept., Isfahan Univ. of Technol., Isfahan, Iran
Abstract :
This paper presents a solution to one of the most troublesome sections of Newton algorithm for solving harmonic balance nonlinear system of equations which is choosing an appropriate initial condition. A good initial condition guaranties the convergence of the algorithm. Here, we have used Volterra series analysis to calculate the appropriate initial condition for the harmonic balance analysis. To demonstrate the performance of the Volterra assisted harmonic balance (VAHB) method we have compared the response of a typical nonlinear circuit with two other techniques. These techniques are implemented in the commercial ADS software. They exploit arbitrary initial condition and initial condition based on the transient analysis of the nonlinear circuit. Based on the calculated results the VAHB technique has a superior performance in terms of convergence with respect to other techniques.
Keywords :
Volterra series; harmonic analysis; nonlinear network analysis; transient analysis; ADS software; Newton algorithm; VAHB technique; Volterra assisted harmonic balance method; Volterra series analysis; algorithm convergence; arbitrary initial condition; harmonic balance analysis; harmonic balance nonlinear system; nonlinear circuit; nonlinear currents; transient analysis; Algorithm design and analysis; Appropriate technology; Circuit simulation; Convergence; Harmonic analysis; Iterative algorithms; Nonlinear circuits; Nonlinear equations; Steady-state; Transient analysis;
Conference_Titel :
Microwave Conference, 2009. APMC 2009. Asia Pacific
Conference_Location :
Singapore
Print_ISBN :
978-1-4244-2801-4
Electronic_ISBN :
978-1-4244-2802-1
DOI :
10.1109/APMC.2009.5384447