Research Papers

Nonlinear Adaptive Magneto-Thermal Analysis at Bushing Regions of a Transformers Cover Using Finite Difference Method

[+] Author and Article Information
Mohammad Zia Zahedi

Physics Department,
Electro-Mechanic Faculty,
Kabul Polytechnic University,
Kabul 1001, Afghanistan;
Electrical and Electronics
Engineering Department,
Engineering Faculty,
Gazi University,
Ankara 06570, Turkey
e-mail: mzzahedi@gmail.com

I. Iskender

Electrical and Electronics
Engineering Department,
Engineering Faculty,
Çankaya University,
Ankara 06790, Turkey
e-mail: ires@cankaya.edu.tr

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF THERMAL SCIENCE AND ENGINEERING APPLICATIONS. Manuscript received February 21, 2018; final manuscript received July 23, 2018; published online October 15, 2018. Assoc. Editor: Matthew R. Jones.

J. Thermal Sci. Eng. Appl 11(1), 011010 (Oct 15, 2018) (8 pages) Paper No: TSEA-18-1098; doi: 10.1115/1.4041345 History: Received February 21, 2018; Revised July 23, 2018

In this study, losses analysis at bushing regions of a transformer covers is done using finite difference 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 the axial symmetry page of a steel disk, taking account the nonlinear 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 finite difference (FD) solution algorithm for magneto-thermal analysis on cover plate is obtained by combination of adaptive mesh refinement 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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Fig. 1

(a) Idealized geometry and parameters at the cross section area near the bushing region of the cover plate used in the adaptive 2D FDM and (b) the computational stencil for the nonuniform FD scheme

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Fig. 2

B–H curve for steel 1010 compared with a linear characteristics of μr = 900

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Fig. 3

Illustration of two level local adaptive mesh

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Fig. 4

The magnetic field Dirichlet BCs of the cover plate

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Fig. 5

The thermal BCs of the cover plate

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Fig. 6

Calibration flowchart of the FDM magneto-thermal link models

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Fig. 7

The ADI-FDM, FEM and experimental results of temperature distribution on the top surface of the disk, z = 6 mm, for (a) 500A and (b) 1000 A

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Fig. 8

Waveforms of magnetic field intensity of the cover plate at steady-state conditions. Adaptive 2D FDM: (a) 500 A and (b) 1000 A.

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Fig. 9

Waveforms of magnetic flux density of the cover plate at steady-state conditions. Adaptive 2D FDM: (a) 500 A and (b) 1000 A.

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Fig. 10

Waveforms of eddy losses distribution of the cover plate at steady-state conditions. Adaptive 2D FDM: (a) 500 A and (b) 1000 A.

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Fig. 11

Flux boundaries of the tank cover model

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Fig. 12

Alternating direction implicit transient solution of hot spot temperature of the cover plate at z = 6 mm

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Fig. 13

The steady-state temperature distribution on the cover plate cross section area. ADI-FDM: (a) 500 A and (b) 1000 A.

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Fig. 14

The steady-state temperature distribution on the selected section of the cover plate. 3D FEM: (a) 500 A and (b) 1000 A.



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