The Non-Linear Adaptive FDM Magnetic and ADI-FDM Thermal Analysis on Covers Plate

[+] Author and Article Information
Mohammad Zia Zahedi

PhD student, Electrical and Electronics Engineering Department, Engineering Faculty, Gazi University, Ankara, 06570, Turkey; Physics Department, Electro-Mechanic Faculty, Kabul Polytechnic University, Kabul, Afghanistan

Ires Iskender

Professor, Electrical and Electronics Engineering Department, Engineering Faculty, Çankaya University, Ankara, 06790, Turkey

1Corresponding author.

ASME doi:10.1115/1.4041345 History: Received February 21, 2018; Revised July 23, 2018


In this study, a losses analysis at bushing regions of a transformer covers is done using Finite Difference(FD) Method(FDM), considering that FDM being more flexible to deal with the nonlinear constitutive law and easier to be implemented than Finite Element(FE) and analytical methods. The analysis is performed based on a 2-level adaptive mesh solution of Maxwell equations and ohm law at the cross section area in axial symmetric page of a steel disk, taking account the non-linear magnetic permeability of the steel. The losses density obtained, as a heat source, is imported into an Alternating Direction Implicit (ADI) approach of heat conduction equation. Therefore, a FD solution algorithm for magneto-thermal analysis on cover plate is obtained by combination of Adaptive Mesh Refinement (AMR) and ADI-FDM, which improves the accuracy and decreases the computational time without losing accuracy. The reliability of the proposed technique is confirmed by experimental and FE Method (FEM) results, considering the temperature distribution of the cover. The comparison of the results with those obtained from FEM and experiments shows the efficiency and capability of the method.

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