Modeling and Control of Low-Frequency Electromagnetic Fields in Multiply Connected Conductors

Abstract : We consider a particular model for electromagnetic fields in the context of optimal control. Special emphasis is laid on a non-standard H-based formulation of the equations of low-frequency electromagnetism in multiply connected conductors. By this technique, the low-frequency Maxwell equations can be solved with reduced computational complexity. We show the well-posedness of the system and derive the sensitivity analysis for different models of controls.
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Fredi Tröltzsch, Alberto Valli. Modeling and Control of Low-Frequency Electromagnetic Fields in Multiply Connected Conductors. 27th IFIP Conference on System Modeling and Optimization (CSMO), Jun 2015, Sophia Antipolis, France. pp.505-516, ⟨10.1007/978-3-319-55795-3_48⟩. ⟨hal-01626886⟩

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