Abstract
The application of operator splitting methods to ordinary differential equations (ODEs) is well established. However, for differential-algebraic equations (DAEs) it is subjected to many restrictions due to the presence of (possibly hidden) constraints. In order to get convergence of the operator splitting for DAEs, it is important to have and exploit a suitable decoupled structure for the desired DAE system. Here we present a coupled field-circuit modeling via a loop-cutset analysis and the choice of a suitable tree that results in a port-Hamiltonian DAE system. Finally, we introduce an operator splitting approach of such linear coupled field-circuit DAEs and present convergence results for the proposed approach.
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This project has received funding from the European Union’s Horizon 2020 research and innovation program under grant agreement No 76504.
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Diab, M., Tischendorf, C. (2024). Splitting Methods for Linear Coupled Field-Circuit DAEs. In: van Beurden, M., Budko, N.V., Ciuprina, G., Schilders, W., Bansal, H., Barbulescu, R. (eds) Scientific Computing in Electrical Engineering. SCEE 2022. Mathematics in Industry(), vol 43. Springer, Cham. https://doi.org/10.1007/978-3-031-54517-7_18
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DOI: https://doi.org/10.1007/978-3-031-54517-7_18
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