3-D Integral Formulation Using Facet Elements for Thin Conductive Shells Coupled With an External Circuit

Abstract

A volume integral formulation using facet elements to compute eddy currents in thin conductive shells is presented. The formulation is general and considers the field variation through the depth due to the skin effect. The formulation leads to an equivalent lumped elements circuit that can be coupled with an external circuit. The resolution of the circuit is achieved by the independent loops method. The formulation has been validated because of two numerical examples. Results are compared with an axisymmetric finite-element method (FEM) and another shell formulation implemented in a 3-D FEM.Index Terms-Eddy currents, facet element, generalized partial element equivalent circuit (PEEC) method, integral equation method, thin conductive shells.

Theoretical-field description of the critical behavior in ferromagnetic nanoparticles structured ensemble

“…These values are close to what we have obtained. In article [33], critical exponents are measured for the nanoparticle ensemble Pr 0.6 Sr 0.4 MnO 3 . Critical exponents values are obtained as follows: β=0.486−0.495, γ= 1.009−1.042.…”

An Alternative Method for Calculating the Eddy Current Loss in the Sleeve of a Sealless Pump

“…The eddy current loss problem is commonly formulated numerically and adopted for use with boundary and finite element methods [7,8]. On the contrary, in some cases a volume integral formulation using facet elements is translated into an equivalent lumped element network as demonstrated in [9]. Analytical models are typically fast to evaluate, but often lack accuracy due to some geometrical assumptions and a limited number of spatial harmonics of the magnetic flux density considered in the calculation of the eddy current loss.…”