Summary
2007 International Symposium on Nonlinear Theory and its Applications
2007
Session Number:18AM2-E
Session:
Number:18AM2-E-3
Fast Computation of Approximated Error Bound for Harmonic Balance Method Using Algebraic Representation
Masakazu Yagi, Takashi Hisakado,
pp.250-253
Publication Date:2007/9/16
Online ISSN:2188-5079
DOI:10.34385/proc.41.18AM2-E-3
Summary:
Harmonic balance (HB) method is well known for analyzing periodic oscillations on nonlinear circuit systems. Because the HB method is an approximation method, approximated solutions have been guaranteed by an error bound. However, its computation is very timeconsuming compared with solving the HB equation. This paper proposes a fast computational method of an approximated error bound using an algebraic representation based on Gr¨obner base. The proposed method decrease the computational cost of the error bound considerably. Using the proposed method, we can guarantee the solutions as fast as solving the HB equation.