A Gradient-Divergence Operator-Regularized Electromagneto-Quasistatic Field Formulation
IEEE TRANSACTIONS ON MAGNETICS(2024)
Abstract
Electromagneto-quasistatic (EMQS) field formulations model resistive, capacitive, and inductive effects, while disregarding wave propagation. When such formulations are expressed in terms of a magnetic vector potential and of a scalar electric potential, the uniqueness of solutions requires additional gauging constraints, on top of suitable initial and boundary data. Here, a gauging based on the addition of a discrete gradient-divergence operator is presented for EMQS frequency-domain field formulations, in the context of H(curl) -conforming finite elements, and is numerically verified.
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Key words
Finite element analysis,Transformers,Mathematical models,Electric fields,Magnetic flux density,Boundary conditions,Numerical models,Electromagneto-quasistatic (EMQS) fields,finite-element methods,frequency-domain analysis,gauging
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