| | | |

## Non-Linear Eddy Current Loss and Thermal Analysis on Transformer Cover

#### Mohammad Zia ZAHEDI [1] , İres ISKENDER [2]

High current conductors of transformers cause to produce losses and thermal problems in their tank cover. Finite Difference (FD) Method (FDM) magnetic analysis is used to find out an exact estimation of the magnetic field and the losses near the bushings in the transient solution, considering the non-linear magnetic permeability of the cover plate, because FDM is more flexible to deal with the nonlinear constitutive law and easy-to-be implemented especially in the case of simple geometry. Finite Element Method (FEM) thermal analysis is used to determine the plate temperature based on magnetic FD analysis, taking account non-linear heat flux boundary condition. A calibration procedure is used between the analyses to ensure the precision of assumptions. The reliability of the technique, confirmed by experimental and FEM results.
Eddy current loss, Finite Difference method, Finite element simulation, Hot spot temperature, Transformer cover
• Turowski, J. and Pelikant, A., "Eddy Currents Losses and Hot-Spot Evaluation in Cover Plates of Power Transformers," Proc. Inst. Elect. Eng. Elect. Power Appl., vol. 144, no. 6, pp. 435-440, (1997).
• Olivares, J. C., Perez, R. E., Kulkarni, S. V., Leon, F. d., and Vega, M. A. V., "2D Finite-Element Determination of Tank Wall Losses in Pad-Mounted Transformers," Electric Power Systems Research, vol. 71, pp. 179-185, (2004).
• Zahedi, M. Z. and Iskender, I., "3D FEM Optimal Design of Transformer Cover Plates to Decrease Stray Losses and Hot Spot Temperature," International Journal on Technical and Physical Problems of Engineering (IJTPE), vol. 8, no. 3, pp. 56-60, (2016).
• Olivares, J. C., Perez, R. E., Kulkarni, S. V., Leon, F. d., Vasquez, E. M., and Anaya, O. H., "Improved Insert Geometry for Reducing Tank-Wall Losses in Pad-Mounted Transformers," IEEE Trans. on Power Delivery, vol. 19, no. 3, pp. 1120-1126, (2004).
• Vecchio, R. M. D., Poulin, B., Feghali, P. T., Shah, D. M., and Ahuja, R., Transformer Design Principles: With Applications to Core-Form Power Transformers, USA: CRC Press, Boca Raton, FL, (2010).
• Maximov, S., Olivares-Galvan, J. C., Magdaleno-Adame, S., Escarela-Perez, R., and Campero-Littlewood, E., "New Analytical Formulas for Electromagnetic Field and Eddy Current Losses in Bushing Regions of Transformers," IEEE Trans. Magnetics, vol. 51, (2015).
• Zahedi, M. Z. and Iskender, I., "FDM ELECTROMAGNETIC ANALYSIS IN BUSHING REGIONS OF TRANSFORMER," International Journal on Technical and Physical Problems of Engineering (IJTPE), vol. 10, no. 34, pp. 27-33, Mar. (2018).
• Lopez-Fernandez, X. M., Penabad-Duran, P., Turowski, J., and Ribeiro, P. M., "Non-linear heating hazard assessment on transformer covers and tank walls," Przeglad Elektrotech. (Elect. Rev.), vol. 88, no. 7b, pp. 28–31, (2012).[9] Vecchio, R. M. D. and Ahuja, R., "Analytic Nonlinear Correction to the Impedance Boundary Condition," IEEE Trans. Magnetics, vol. 49, no. 12, pp. 5687–5691, (2013).
• S. Maximov, R. E. P., Adame, S. M., Galvan, J. C. O., and Littlewood, E. C., "Calculation of Nonlinear Electromagnetic Fields in the Steel Wall Vicinity of Transformer Bushings," IEEE Trans. Magnetics, vol. 51, no. 6, (2015).
• Fernandez, X. M. L., Duran, P. P., and Turowski, J., "Three Dimensional Methodology for the Overheating Hazard Assessment on Transformer Covers," IEEE Trans. Industry Applications, vol. 48, pp. 1549-1555, (2012).
• Durana, P. P., Fernandez, X. M. L., and Turowski, J., "3D Non-Linear Magneto-Thermal Behavior on Transformer Covers," Electric Power Systems Research, vol. 121, pp. 333-340, (2015).
• Maximov, S., Escarela-Perez, R., Olivares-Galvan, J. C., Guzman, S. J., and Campero-Littlewood, E., "New Analytical Formula for Temperature Assessment on Transformer Tanks," IEEE Trans. Power Delivery, vol. 31, no. 3, pp. 1122-1131, (2016).
• Sadiku, M. N. O., Elements of electromagnetics, Oxford University Press, New York, (2011).
• Inc., A., "User’s Guide - Maxwell 3D/ANSYS Maxwell," 15 ed., Canonsburg, PA, USA, (2012).
• Sadiku, M. N. O., Numerical techniques in electromagnetics, CRC Press, New York, (2001).
• Gillott, D. H. and Calvert, J. F., "Eddy current loss in saturated solid magnetic plates, rods, and conductors," IEEE Trans. Magn., vol. 1, no. 2, pp. 126–137, (1965).
• Holman, J. P., Heat transfer, McGraw-Hill, New York, (2010).
• Internet: Heat Distribution in a Circular Cylindrical Rod, In MathWorks Online. https://www.mathworks.com/help/pde/examples/heat-distribution-in-a-circular-cylindrical-rod.html?s_tid=srchtitle, (2018).
• Internet: Nonlinear Heat Transfer In a Thin Plate, In MathWorks Online. https://www.mathworks.com/help/pde/examples/nonlinear-heat-transfer-in-a-thin-plate.html?searchHighlight=Nonlinear%20Heat%20Transfer%20In%20a%20Thin%20Plate&s_tid=doc_srchtitle, (2018).
Primary Language en Engineering Electrical & Electronics Engineering Orcid: 0000-0002-0585-3753Author: Mohammad Zia ZAHEDI (Primary Author)Institution: GAZİ ÜNİVERSİTESİ, MÜHENDİSLİK FAKÜLTESİCountry: Turkey Author: İres ISKENDER Institution: ÇANKAYA ÜNİVERSİTESİ, MÜHENDİSLİK FAKÜLTESİCountry: Turkey Publication Date : June 1, 2019
 Bibtex @research article { gujs433080, journal = {Gazi University Journal of Science}, issn = {}, eissn = {2147-1762}, address = {}, publisher = {Gazi University}, year = {2019}, volume = {32}, pages = {558 - 570}, doi = {}, title = {Non-Linear Eddy Current Loss and Thermal Analysis on Transformer Cover}, key = {cite}, author = {Zahedı, Mohammad Zia and Iskender, İres} } APA Zahedı, M , Iskender, İ . (2019). Non-Linear Eddy Current Loss and Thermal Analysis on Transformer Cover . Gazi University Journal of Science , 32 (2) , 558-570 . Retrieved from https://dergipark.org.tr/en/pub/gujs/issue/45480/433080 MLA Zahedı, M , Iskender, İ . "Non-Linear Eddy Current Loss and Thermal Analysis on Transformer Cover" . Gazi University Journal of Science 32 (2019 ): 558-570 Chicago Zahedı, M , Iskender, İ . "Non-Linear Eddy Current Loss and Thermal Analysis on Transformer Cover". Gazi University Journal of Science 32 (2019 ): 558-570 RIS TY - JOUR T1 - Non-Linear Eddy Current Loss and Thermal Analysis on Transformer Cover AU - Mohammad Zia Zahedı , İres Iskender Y1 - 2019 PY - 2019 N1 - DO - T2 - Gazi University Journal of Science JF - Journal JO - JOR SP - 558 EP - 570 VL - 32 IS - 2 SN - -2147-1762 M3 - UR - Y2 - 2018 ER - EndNote %0 Gazi University Journal of Science Non-Linear Eddy Current Loss and Thermal Analysis on Transformer Cover %A Mohammad Zia Zahedı , İres Iskender %T Non-Linear Eddy Current Loss and Thermal Analysis on Transformer Cover %D 2019 %J Gazi University Journal of Science %P -2147-1762 %V 32 %N 2 %R %U ISNAD Zahedı, Mohammad Zia , Iskender, İres . "Non-Linear Eddy Current Loss and Thermal Analysis on Transformer Cover". Gazi University Journal of Science 32 / 2 (June 2019): 558-570 . AMA Zahedı M , Iskender İ . Non-Linear Eddy Current Loss and Thermal Analysis on Transformer Cover. Gazi University Journal of Science. 2019; 32(2): 558-570. Vancouver Zahedı M , Iskender İ . Non-Linear Eddy Current Loss and Thermal Analysis on Transformer Cover. Gazi University Journal of Science. 2019; 32(2): 558-570.

Authors of the Article