Axiperiodic finite element analysis of generator end regions. I. Theory

Bedrosian, G.; Chari, M.V.K.; Shah, M.R.; Theodossiou, G.

doi:10.1109/20.34371

Cited by 17 publications

(2 citation statements)

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“…The consistency and convergence of the discrete formulation remain guaranteed because of the fact that Gauss quadrature is exact for the integration of polynomial shape functions as long as the order of the quadrature is sufficiently high. Here, however, the edge shape functions are not polynomial because of the 1=r-dependence of the a j and c j terms in (21). We implemented a Gauss quadrature rule for triangular prisms [25].…”

Section: Convergence Of the Radially Symmetric Fe Discretisationmentioning

confidence: 99%

“…In general, a 2D solver may prescribe a particular variation in the direction of symmetry. A typical case is a cylindrically symmetric model (also called a body of revolution ) where the field values depend by a harmonic function on the azimuthal coordinate . In principle, a prescribed variation along the radial direction other than a constant function can be introduced in the formulation developed here.…”

Section: Finite‐element Discretisationmentioning

confidence: 99%

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Finite‐element discretisation of the eddy‐current term in a 2D solver for radially symmetric models

Vanoost

Gersem

Peuteman

et al. 2013

Int J Numerical Modelling

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SUMMARYThis paper discusses the discretisation of the eddy-current term of the magnetoquasistatic subset of the Maxwell equations in a 2D setting with radial symmetry. It is shown that dedicated finite element shape functions are needed to make sure that particular distributions of the magnetic flux density and the electric field strength can be resolved exactly. Moreover, the shape functions should obey a partition-of-unity property and should achieve a prescribed convergence order. The 2D solver with radial symmetry is applied to calculate the performance of a multi-coil induction cooking system.

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Section: Convergence Of the Radially Symmetric Fe Discretisationmentioning

confidence: 99%

Section: Finite‐element Discretisationmentioning

confidence: 99%