An Algebraic Approach to Guarantee Harmonic Balance Method Using Grobner Base
スポンサーリンク
概要
- 論文の詳細を見る
Harmonic balance (HB) method is well known principle for analyzing periodic oscillations on nonlinear networks and systems. Because the HB method has a truncation error, approximated solutions have been guaranteed by error bounds. However, its numerical computation is very time-consuming compared with solving the HB equation. This paper proposes an algebraic representation of the error bound using Gröbner base. The algebraic representation enables to decrease the computational cost of the error bound considerably. Moreover, using singular points of the algebraic representation, we can obtain accurate break points of the error bound by collisions.
- （社）電子情報通信学会の論文
- 2008-09-01
著者
-
Yagi Masakazu
Department Of Electrical Engineering Kyoto University
-
Hisakado Takashi
Department Of Electrical Engineering Faculty Of Engineering Kyoto University
-
OKUMURA Kohshi
Department of Electrical Engineering, Kyoto University
-
Okumura Kohshi
Department Of Computer Science Hiroshima Institute Of Technology
関連論文
- Importance and Limitations of Modeling Parasitic Capacitance between Package and PCB for Power Bus Noise and Radiation
- Deep Region Emissions of CuGaS_2 Crystals
- Structural and Optical Properties of Cu-In-Se and MgxZn1-xO Thin Films Prepared by Chemical Spray Pyrolysis
- Bifurcation Phenomena of Subharmonic Oscillation of order 1/2 in Symmetrical Three-Phase Circuit
- An Algebraic Approach to Guarantee Harmonic Balance Method Using Grobner Base
- An Improvement of Convergence of FFT-Based Numerical Laplace Transformation
- An Improvement of Convergence of FFT-Based Numerical Laplace Transformation
- An Improvement of Convergence of FFT-Based Numerical Laplace Transformation
- Efficient Applications of Invariants to Harmonic Balance Equation Using Grobner Base(Nonlinear Phenomena and Analysis,Nonlinear Theory and its Applications)
- Algebraic Approach to Bifurcations in Global Parameter Space with Grobner Bases
- Bifurcation Phenomena of 1/2-Subharmonic Oscillations in Three-Phase Circuit
- Bifurcation Phenomena of Harmonic Oscillations in Three-Phase Circuit
- An Application of Kharitonov's Theorem to Tolerance Analysis of Oscillatory Circuits
- ISSAC'97 Poster Summary An Application of Groebner Bases to Classification of Nonlinear Circuits