Details
| Original language | English |
|---|---|
| Title of host publication | 2021 IEEE International Midwest Symposium on Circuits and Systems, MWSCAS 2021 - Proceedings |
| Publisher | Institute of Electrical and Electronics Engineers Inc. |
| Pages | 1078-1081 |
| Number of pages | 4 |
| ISBN (electronic) | 9781665424615 |
| ISBN (print) | 978-1-6654-2462-2 |
| Publication status | Published - 2021 |
| Event | 2021 IEEE International Midwest Symposium on Circuits and Systems, MWSCAS 2021 - Virtual, East Lansing, United States Duration: 9 Aug 2021 → 11 Aug 2021 |
Publication series
| Name | Midwest Symposium on Circuits and Systems |
|---|---|
| Volume | 2021-August |
| ISSN (Print) | 1548-3746 |
Abstract
In this paper, we present a procedure for approximating DC operating points of nonlinear circuits. The procedure is based on the Carleman linearization that transforms polynomial algebraic equations into an equivalent infinite dimensional linear system. Hence, we first perform a polynomial approximation of the nonlinear equations describing circuits. The infinite system of linear equations is then transformed into a finite system using a self-consistent technique. The presented procedure enables derivation of an approximation for all roots within a predefined interval. The initial interval is gradually divided into sub-intervals until all roots are identified. Contrary to usually applied methods, this approach does not depend on the domain of attraction of a root and may be also applied in cases of multiple solutions.
Keywords
- Carleman linearization, DC operating points, nonlinear analysis, Nonlinear circuits
ASJC Scopus subject areas
- Materials Science(all)
- Electronic, Optical and Magnetic Materials
- Engineering(all)
- Electrical and Electronic Engineering
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2021 IEEE International Midwest Symposium on Circuits and Systems, MWSCAS 2021 - Proceedings. Institute of Electrical and Electronics Engineers Inc., 2021. p. 1078-1081 (Midwest Symposium on Circuits and Systems; Vol. 2021-August).
Research output: Chapter in book/report/conference proceeding › Conference contribution › Research › peer review
}
TY - GEN
T1 - Finding DC Operating Points of Nonlinear Circuits Using Carleman Linearization
AU - Weber, Harry
AU - Trajkovic, Ljiljana
AU - Mathis, Wolfgang
PY - 2021
Y1 - 2021
N2 - In this paper, we present a procedure for approximating DC operating points of nonlinear circuits. The procedure is based on the Carleman linearization that transforms polynomial algebraic equations into an equivalent infinite dimensional linear system. Hence, we first perform a polynomial approximation of the nonlinear equations describing circuits. The infinite system of linear equations is then transformed into a finite system using a self-consistent technique. The presented procedure enables derivation of an approximation for all roots within a predefined interval. The initial interval is gradually divided into sub-intervals until all roots are identified. Contrary to usually applied methods, this approach does not depend on the domain of attraction of a root and may be also applied in cases of multiple solutions.
AB - In this paper, we present a procedure for approximating DC operating points of nonlinear circuits. The procedure is based on the Carleman linearization that transforms polynomial algebraic equations into an equivalent infinite dimensional linear system. Hence, we first perform a polynomial approximation of the nonlinear equations describing circuits. The infinite system of linear equations is then transformed into a finite system using a self-consistent technique. The presented procedure enables derivation of an approximation for all roots within a predefined interval. The initial interval is gradually divided into sub-intervals until all roots are identified. Contrary to usually applied methods, this approach does not depend on the domain of attraction of a root and may be also applied in cases of multiple solutions.
KW - Carleman linearization
KW - DC operating points
KW - nonlinear analysis
KW - Nonlinear circuits
UR - http://www.scopus.com/inward/record.url?scp=85115658948&partnerID=8YFLogxK
U2 - 10.1109/MWSCAS47672.2021.9531749
DO - 10.1109/MWSCAS47672.2021.9531749
M3 - Conference contribution
AN - SCOPUS:85115658948
SN - 978-1-6654-2462-2
T3 - Midwest Symposium on Circuits and Systems
SP - 1078
EP - 1081
BT - 2021 IEEE International Midwest Symposium on Circuits and Systems, MWSCAS 2021 - Proceedings
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2021 IEEE International Midwest Symposium on Circuits and Systems, MWSCAS 2021
Y2 - 9 August 2021 through 11 August 2021
ER -