Computations of Source for Non-Meshed Coils With A–${V}$ Formulation Using Edge Elements

Abstract

In this paper, different ways to compute electromagnetic source fields for non-meshed coils will be described for magnetic vector potential A and electric scalar potential V formulation (A − V formulation). The originality of this paper is demonstrated by the source computations for A − V formulation with non-meshed coils. Usually, coils for A − V formulation are meshed, and non-meshed coils are studied with reduced magnetic vector potential A r and electric scalar potential V formulation (A r − V formulation). Different source computations for A − V formulation will be applied on an induction machine with non-meshed coils.

Progressive Current Source Models in Magnetic Vector Potential Finite-Element Formulations

“…With the SPM, the BS SF evaluations can be limited to the material regions Ω m via local VSs [3], [4], instead of the whole domain with the common method [1]. Such a support reduction already allows to lighten the BS calculations.…”

“…The current sources in finite element (FE) magnetodynamic problems can generally be considered via Biot-Savart (BS) models, possibly giving the conductors some simplified geometries, with, e.g., filament, circular or rectangular cross sections [1]. In the slots of magnetic core regions, an alternative to the explicit definition of such simplified geometries is to consider the slot-core interfaces as perfect magnetic walls via a zero flux boundary condition (BC).…”

Computation of Source for Non-Meshed Coils in a Reduced Domain With <inline-formula> <tex-math notation="LaTeX">${A}$ </tex-math> </inline-formula>–<inline-formula> <tex-math notation="LaTeX">${V}$ </tex-math> </inline-formula> Formulation

“…Source A j is computed by interpolation with H(curl, Ω red ) semi-norm (9) and equation (6) via [3]:…”

“…CONCLUSION In [3], the discretized source vector potential A j was chosen to compute source for non-meshed coils with the A − V formulation. In this paper, it is described how to reduce the computation of source A j to a part of the domain, in movement or fixed.…”

“…Using nonmeshed coils, as planned in this paper, presents some advantages. A useful source for non-meshed coils is the discretized vector potential A j interpolated from H s with H(curl, Ω) semi-norm [3]. In moving systems, both fixed and moving regions (e.g., stator and rotor) occur, at the interface of which the continuity of fields and potentials are commonly to be ensured.…”