This paper deals with the transient simulation of large, nonlinear magnetoquasistatic field models which are monolithically coupled to electric circuits. Solid- and stranded-conductor models embedded in the field model are connected to the external circuit. In order to guarantee the numerical efficiency of the field-circuit coupled formulation, conductor models coupling the circuit to the field at a reference crosssection, have to be preferred over conductor models that couple the whole conductor volume to the circuit. The circuit is formulated in terms of both voltage drops and currents in order to avoid fill-in in the field matrix parts. For time stepping, an error-controlled, adaptive singly diagonally Runge-Kutta method is applied. A dense output solution is used to detect and localise switching events in the circuit. The actual time step is restricted to the time instant of switching at which consistent initial conditions are determined before restarting the time integration. The transient field-circuit coupling is applied to the models of a capacitor motor and a three-phase transformer.
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© 2007 Springer-Verlag Berlin Heidelberg
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De Gersem, H., Benderskaya, G., Weiland, T. (2007). Transient Field-Circuit Coupled Models with Switching Elements for the Simulation of Electric Energy Transducers. In: Ciuprina, G., Ioan, D. (eds) Scientific Computing in Electrical Engineering. Mathematics in Industry, vol 11. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-71980-9_2
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DOI: https://doi.org/10.1007/978-3-540-71980-9_2
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-71979-3
Online ISBN: 978-3-540-71980-9
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