The Distribution of the Thermal Field in an Elliptical Electric Conductor Coated with Insulation

The paper determines the stationary thermal field in an elliptical cross-section electric conductor coated with insulation. Heat is generated by flow of alternating current (AC) through conducting core, and then dissipated from insulation surface via convection radiation. authors have developed original method for hybrid (analytical–numerical) modeling a field. This has been used to solve relevant boundary problem Poisson’s equation. While eigenfunctions Laplace operator were determined analytically, coefficients calculated iteratively solving appropriate system algebraic equations. proposed enables analysis systems geometry heterogeneous layered structure (e.g., air, aluminum alloy, PCV), does not require area discretization (grid). analytical–numerical (AN) positively verified using finite elements (FEs). illustrated graphically. obtained solution good physical interpretation.