Abstract
AbstractParallel‐in‐time methods have shown success for reducing the simulation time of many time‐dependent problems. Here, we consider applying the multigrid‐reduction‐in‐time (MGRIT) algorithm to a voltage‐driven eddy current model problem.
Highlights
The simulation of electrical machines, such as synchronous and induction machines, transformers or cables, is an established procedure in industry to improve the product design, e. g., to prevent eddy current losses
The model governs the evolution of electromagnetic fields and is, for a voltage-driven system, coupled with an additional equation, resulting in the following system for unknown magnetic vector potential A : Ω × I → R3 and the electric current is : I → R: σ∂tA + ∇ × ν( ∇ × A )∇ × A − χsis = 0, (1a)
Equation (1b) establishes a relationship between the so-called flux linkage, i. e., the spatially integrated time derivative of the magnetic vector potential and the pulsed voltage vs(t) = 0.25 p(t) V, which is given by p(t) = sign sin
Summary
The simulation of electrical machines, such as synchronous and induction machines, transformers or cables, is an established procedure in industry to improve the product design, e. g., to prevent eddy current losses. We consider applying the multigrid-reduction-in-time (MGRIT) algorithm to a voltage-driven eddy current model problem. The model governs the evolution of electromagnetic fields and is, for a voltage-driven system, coupled with an additional equation, resulting in the following system for unknown magnetic vector potential A : Ω × I → R3 and the electric current is : I → R: σ∂tA + ∇ × ν( ∇ × A )∇ × A − χsis = 0, (1a)
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