Details
Translated title of the contribution | Analytical properties of differential-algebraic equations arising in circuit simulation using the extended nodal approach |
---|---|
Original language | German |
Pages (from-to) | 353-363 |
Number of pages | 11 |
Journal | At-Automatisierungstechnik |
Volume | 69 |
Issue number | 5 |
Early online date | 29 Apr 2021 |
Publication status | Published - 26 May 2021 |
Abstract
Differential-algebraic systems of equations (DAE) arise in electric network modelling. The resulting index of DAE restricts the selection of possible solution methods. The index of the DAE can be determined beforehand of the simulation for certain methods of circuit simulations under special requirements on the device models and the topology. The results of these methods are transferred to the extended nodal approach used in electrical power engineering. For this purpose, a structural analysis of the DAE is carried out, formulated with the extended nodal approach. This results in a Hessenberg index-1 system in case of using classical element models and having common electric power system topologies.
ASJC Scopus subject areas
- Engineering(all)
- Control and Systems Engineering
- Computer Science(all)
- Computer Science Applications
- Engineering(all)
- Electrical and Electronic Engineering
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In: At-Automatisierungstechnik, Vol. 69, No. 5, 26.05.2021, p. 353-363.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Strukturanalyse des mit dem Erweiterten Knotenpunktverfahren formulierten Differential-algebraischen Gleichungssystems
AU - Huisinga, Hauke
AU - Hofmann, Lutz
PY - 2021/5/26
Y1 - 2021/5/26
N2 - Differential-algebraic systems of equations (DAE) arise in electric network modelling. The resulting index of DAE restricts the selection of possible solution methods. The index of the DAE can be determined beforehand of the simulation for certain methods of circuit simulations under special requirements on the device models and the topology. The results of these methods are transferred to the extended nodal approach used in electrical power engineering. For this purpose, a structural analysis of the DAE is carried out, formulated with the extended nodal approach. This results in a Hessenberg index-1 system in case of using classical element models and having common electric power system topologies.
AB - Differential-algebraic systems of equations (DAE) arise in electric network modelling. The resulting index of DAE restricts the selection of possible solution methods. The index of the DAE can be determined beforehand of the simulation for certain methods of circuit simulations under special requirements on the device models and the topology. The results of these methods are transferred to the extended nodal approach used in electrical power engineering. For this purpose, a structural analysis of the DAE is carried out, formulated with the extended nodal approach. This results in a Hessenberg index-1 system in case of using classical element models and having common electric power system topologies.
KW - Circuit simulation
KW - Differential-algebraic equations
KW - Electric power system
KW - Extended nodal approach
UR - http://www.scopus.com/inward/record.url?scp=85105652882&partnerID=8YFLogxK
U2 - 10.1515/auto-2021-0001
DO - 10.1515/auto-2021-0001
M3 - Artikel
VL - 69
SP - 353
EP - 363
JO - At-Automatisierungstechnik
JF - At-Automatisierungstechnik
SN - 0178-2312
IS - 5
ER -