A magnetic oriented approach to the systematic coupling of field and circuit equations
arxiv(2024)
摘要
A novel strategy is proposed for the coupling of field and circuit equations
when modeling power devices in the low-frequency regime. The resulting systems
of differential-algebraic equations have a particular geometric structure which
explicitly encodes the energy storage, dissipation, and transfer mechanisms.
This implies a power balance on the continuous level which can be preserved
under appropriate discretization in space and time. The models and main results
are presented in detail for linear constitutive models, but the extension to
nonlinear elements and more general coupling mechanisms is possible. The
theoretical findings are demonstrated by numerical results.
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