Abstract
The aim of this article is to present a hybrid integral formulation for modelling structures made by conductors and thin electromagnetic shell models. Based on the principle of shell elements, the proposed method provides a solution to various problems without meshing the air regions, and at the same time helps to take care of the skin effect. By integrating the system of circuit equations, the method presented in this paper can also model the conductor structures. In addition, the equations describing the interaction between the conductors and the thin shell are also developed. Finally, the formulation is validated via an axisymmetric finite element method and the obtained results are compared with those implemented from another shell formulation.
Highlights
All of the electromagnetic phenomena occurring in the electrical systems are described by Maxwell’s equations, together with the constitutive material laws
The numeric methods applied in modelling of electromagnetic fields can be divided into two categories: finite methods like finite element method (FEM)
[11], we presented a method between the Partial Element Equivalent Circuit (PEEC) and an integro-differential method coupling method between the and an integro-differential to model the devices that include thin electromagnetic shells and complicated conductor systems
Summary
All of the electromagnetic phenomena occurring in the electrical systems are described by Maxwell’s equations, together with the constitutive material laws. Method to model the devices that include thin electromagnetic shells and complicated conductor This coupling formulation cannot be applied to problems when the skin depth is low in systems. In [14], the authors presented a hybrid of surface integral forformulations the eddy current of the conductive with arbitrary volume andformulations surface integral for the solution eddy current solution of the regions conductive regions geometry This formulation be used cannot for thebe magnetic andmaterial as in [11], with arbitrary geometry. A hybrid integral formulation is proposed to allow the modelling of an structure constituted by conductors and thin magnetic and conductive shells in the general case (δ > e or inhomogeneous structure constituted by conductors and thin magnetic and conductive shells in the δ ≈ e or δ < e).
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