Dynamic iteration schemes and port-Hamiltonian formulation in coupled DAE circuit simulation

التفاصيل البيبلوغرافية
العنوان: Dynamic iteration schemes and port-Hamiltonian formulation in coupled DAE circuit simulation
المؤلفون: Günther, Michael, Bartel, Andreas, Jacob, Birgit, Reis, Timo
بيانات النشر: arXiv, 2020.
سنة النشر: 2020
مصطلحات موضوعية: Optimization and Control (math.OC), 34A09, 37J05, 65L80, 94C05, 94C15, ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION, MathematicsofComputing_NUMERICALANALYSIS, FOS: Mathematics, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), Dynamical Systems (math.DS), Mathematics - Dynamical Systems, Mathematics - Optimization and Control
الوصف: Electric circuits are usually described by charge- and flux-oriented modified nodal analysis. In this paper, we derive models as port-Hamiltonian systems on several levels: overall systems, multiply coupled systems and systems within dynamic iteration procedures. To this end, we introduce new classes of port-Hamiltonian differential-algebraic equations. Thereby, we additionally allow for nonlinear dissipation on a subspace of the state space. Both, each subsystem and the overall system, possess a port-Hamiltonian structure. A structural analysis is performed for the new setups. Dynamic iteration schemes are investigated and we show that the Jacobi approach as well as an adapted Gauss-Seidel approach lead to port-Hamiltonian differential-algebraic equations.
Comment: 33 pages, 1 figure
DOI: 10.48550/arxiv.2004.12951
الوصول الحر: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::65528961accaedd7a8b22793afaa73e7Test
حقوق: OPEN
رقم الانضمام: edsair.doi.dedup.....65528961accaedd7a8b22793afaa73e7
قاعدة البيانات: OpenAIRE