Two-dimensional Heat Conduction of Direct Cooling in the Rotor of an Electrical Generator(Numerical Analysis)
Authors: A. Kargar, A. Kianifar, H. Mohammadiun
Abstract:
Two-dimensional heat conduction within a composed solid material with a constant internal heat generation has been investigated numerically in a sector of the rotor a generator. The heat transfer between two adjacent materials is assumed to be purely conduction. Boundary conditions are assumed to be forced convection on the fluid side and adiabatic on symmetry lines. The control volume method is applied for the diffusion energy equation. Physical coordinates are transformed to the general curvilinear coordinates. Then by using a line-by-line method, the temperature distribution in a sector of the rotor has been determined. Finally, the results are normalized and the effect of cooling fluid on the maximum temperature of insulation is investigated.
Keywords: general curvilinear coordinates , jacobian, controlvolume.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1334898
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[1] S. Nagano, T. Kitajima, K. Yoshido, Y. Kazao, Y. Kabata, D.Murata, K.Nagakura, Development of World's Largest Hydrogen-Cooled Turbine Generator, IEEE 2002.
[2] C.E. Stephan, J. Baer, R. Joho, and R Schuler, Advanced technologies for large air cooled Turbogenerators with Highest Unit Ratings, CIGRE Session, Paper 11-101, 1996.
[3] R Joho, J. Baumgartner, T. Hinkel, C.E. Stephan, and M. Jung, Type Tested Air Cooled Turbogenerator in the 500MVA Range, CIGRE Session, Paper 11-101, 2000.
[4] K. Hattori, K. ide, F. Goto, sophisticated design of turbine generator with inner cooler ventilation system, Hitachi Review, Vol.51, No.5, 2002.
[5] J. Glahn, J. Baumgartner, M. Jung, Generator Cooling with Mixing Downstream of the Cooler, US Patent, US 6239522 Bl, 2001.
[6] D. Lulay, Y. Riedling, Gas Cooled Turbogenerator, US Patent, 6037683, 2000.
[7] C.L. Vandervort, T.D. Wetzel, E.D. Jarezynski, S. Salamah, and W.N.O. Turnbull, Generator Endwinding Cooling Enhancement, US Patent, US 2002/0074870 Al, 2002.
[8] R.E. Mayle, S. Hess, C. Hirsch, J. von Wolferdorsf, Rotor Stator Gap Flow Analysis and Experiments, IEEE Transaction on Energy Conversion, vol. 13, No. 2, 1998.
[9] J.Esfahani, numerical analysis rotor-stator gap flow, 18th international power system conference, Tehran, Iran, 2003.
[10] D. Sarkar, P.K. Mukherjee, and S. K. Sen, Approximate Analysis of Steady State Heat Conduction in an Induction Motor, IEEE Transactions on Energy Conversion, Vol. 8, No. 1, 1992.
[11] S. V. Patankar," Numerical Heat Transfer and Fluid Flow", McGraw-Hill, NY, 1980.
[12] C . A .J. Fletcher, Computational Techniques for Fluid Dynamics, second edition, 1992.
[13] J.C. Tanehill, D. A. Anderson, and, R. h. Pletcher , Computational Fluid Mechanics and Heat Transfer, 2nd ed., p.140, Taylor & Francis , Washington, D.C. 1997.
[14] R. A. Wise and P. M. McElroy, Derivation of Conduction Heat Transfer in Thin Shell Toroids, SAE 2000-01-2487, 634-643, 2000.
[15] S.Khabba, J.-F.Ledent, A.Lahrouni, Development and Validation of Model of Heat Diffusion in Maize Ear. Agricultural and forest meteorology, 97, 113-127, June 1999.
[16] K.A. Antonopoulos and C.Tzivanidis, Numerical Solution of Unsteady Three-Dimensional Heat Transfer During Space Cooling Using Ceiling-Embedded Piping, energy, Vol. 22, No.1, 59-67, 1997.
[17] Maged A.I.EL-Shaarawi,E. Mokheimer, Transient Conduction in Eccentrically Hollow Cylinders, Int. J. Heat transfer , Vol. 38 ,No. 11, 2001 2010.1995.
[18] M. S. Ferreira, Unsteady Heat Conduction in 3D Elliptical Cylinder, Int. Comm. Heat Transfer, Vol.28.no.7, 963-972, 2001.
[19] H. M. Rai , Principals of Electrical Machine Design , Handa Pub.Co.,1992.
[20] A. K. Sawhney,A Course in Electrical Machine Design, Dhanpat Rai & Sons, Delhi 1991.
[21] M. N. Ozisik, Heat conduction. Wiley, New York, 1980.
[22] Frank P.Incropera, David P.DeWitt, Introduction to heat transfer, second edition, 1990.
[23] A.I.Leont'ev, A.G.Kirdyashkin,The theory convection heat transfer for the vertical flow of fluid,3th international heat transfer conference ,Vol.1, 216-224,By AICHE.