Name
Abstract | ||
|---|---|---|
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. |
Year | DOI | Venue |
|---|---|---|
2008 | 10.1093/ietfec/e91-a.9.2442 | IEICE Transactions |
Keywords | DocType | Volume |
truncation error,hb equation,guarantee harmonic balance method,error bound,accurate break point,approximated solution,harmonic balance,algebraic approach,bner base,computational cost,algebraic representation,hb method,singular point,oscillations | Journal | E91-A |
Issue | ISSN | Citations |
9 | 0916-8508 | 0 |
PageRank | References | Authors |
0.34 | 2 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Yagi, Masakazu | 1 | 23 | 6.51 |
| Takashi Hisakado | 2 | 8 | 4.87 |
| Kohshi Okumura | 3 | 16 | 5.43 |