Accurate and efficient computation of the inductance matrix of transformer windings for the simulation of very fast transients

IEEE Transactions on Power Delivery

Volumn 26, Issue 3, 2011, Pages 1423-1431

  Gómez, Pablo ^a   De León, Francisco ^b  

^a INSTITUTO POLITÉCNICO NACIONAL   (Mexico)

^b POLYTECHNIC UNIVERSITY   (United States)

Author keywords

Inductance matrix; magnetic fields; method of images; transformer windings; very fast transients

Indexed keywords

AIR CORE INDUCTORS; AIR-CORE; EFFICIENT COMPUTATION; HIGH FREQUENCY; INDUCTANCE MATRIX; INSULATING WALL; METHOD OF IMAGES; MULTILAYER METHOD; VERY FAST TRANSIENTS; VERY HIGH FREQUENCY; WINDING INDUCTANCE;

INDUCTANCE; MAGNETIC FIELDS; MAGNETIC FLUX; TRANSIENTS; WINDING;

TRANSFORMER WINDINGS;

EID: 79959695211     PISSN: 08858977     EISSN: None     Source Type: Journal    
DOI: 10.1109/TPWRD.2011.2104370     Document Type: Article

References (24)

1. L. Rabins, "A new approach to the analysis of impulse voltages and gradients in transformer windings," AIEE Trans., vol. 78, no. 4, pp. 1784-1791, Feb. 1960.
2. P. I. Fergestad and T. Henriksen, "Transient oscillations in multi-winding transformers," IEEE Trans. Power App. Syst., vol. PAS-93, no. 2, pp. 500-509, Mar./Apr. 1974.
3. W. J. Mc Nutt, T. J. Blalock, and R. A. Hinton, "Response of trans-former windings to systemtransient voltages," IEEE Trans. PowerApp. Syst., vol. PAS-93, no. 2, pp. 457-466, Mar./Apr. 1974.
4. A. Miki, T. Hosoya, and K. Okuyama, "A calculation method for im-pulse voltage distribution and transferred voltage in transformer wind-ings," IEEE Trans. Power App. Syst., vol. PAS-97, no. 3, pp. 930-939, May/Jun. 1978. (Pubitemid 8609089)
5. K. J. Cornick, B. Filliat, C. Kieny, and W. Muller, "Distribution of very fast transient overvoltages in transformer windings," CIGRE Rep. 1992, pp. 12-204.
6. Y. Shibuya, S. Fujita, and N. Hosokawa, "Analysis of very fast tran-sient overvoltage intransformerwinding," Proc. Inst. Elect. Eng., Gen. Transm. Distrib., vol. 144, no. 5, Sep. 1997.
7. Y. Shibuya, S. Fujita, and E. Tamaki, "Analysis ofvery fast transients in transformer," Proc. Inst. Elect. Eng., Gen. Transm. Distrib., vol. 148, no. 5, pp. 377-383, 2001. (Pubitemid 32991381)
8. M. Popov, L. V. Sluis, G. C. Paap, and H. de Herdt, "Computation of very fast transient overvoltages in transformer windings," IEEE Trans. PowerDel., vol. 18, no. 4, pp. 1268-1274, Oct. 2003.
9. E. Bjerkan and H. K. Høidalen, "High frequency fem-based power transformer modeling: Investigation of internal computation of very fast transient overvoltages in transformer windings stresses due to net-work-initiated overvoltages," presented at the Int. Conf. Power Syst. Transients, Montreal, QC, Canada, Jun. 19-23, 2005.
10. G. Liang, H. Sun, X. Zhang, and X. Cui, "Modeling of transformer windings under very fast transient overvoltages," IEEE Trans. Electro-magn. Compat., vol. 48, no. 4, pp. 621-627, Nov. 2006. (Pubitemid 46417181)
11. M. Popov, L. van der Sluis, R. P. P. Smeets, and J. Lopez Roldan, "Analysis of very fast transients in layer-type transformer windings," IEEE Trans. PowerDel., vol. 22, no. 1, pp. 238-247, Jan. 2007. (Pubitemid 46562665)
12. S. M. H. Hosseini, M. Vakilian, and G. B. Gharehpetian, "Comparison of transformer detailed models for fast and very fast transient studies," IEEE Trans. PowerDel., vol. 23, no. 2, pp. 733-741, Apr. 2008. (Pubitemid 351546124)
13. Z. Azzouz, A. Foggia, L. Pierrat, and G. Meunier, "3D finite element computation of the high frequency parameters of power transformer windings," IEEE Trans. Magn., vol. 29, no. 2, pp. 1407-1410, Mar. 1993.
14. D. J. Wilcox, M. Conlon, and W. G. Hurley, "Calculation of self and mutual impedances for coils on ferromagnetic cores," Proc. Inst. Elect. Eng., vol. 135, no. 7, pp. 470-476, Sep. 1988, h A.
15. R. M. Del Vecchio, B. Poulin, and R. Ahuja, "Calculation and mea-surement of winding disk capacitances with wound-in-shields," IEEE Trans. PowerDel., vol. 13, no. 2, pp. 503-509, Apr. 1998. (Pubitemid 128741510)
16. A. Greenwood, Electrical Transients in Power Systems. New York: Wiley, 1991, pp. 424-431.
17. S. V. Kulkarni and S. A. Khaparde, TransformerEngineering: Design and Practice. Boca Raton, FL: CRC, 2004, pp. 298-299.
18. L. V. Bewley, Two-Dimensional Fields in Electrical Engineering. New York: Dover, 1963, pp. 151-166.
19. F. de León, P. Gómez, J. A. Martinez-Velasco, and M. Rioual, J. A. Martinez-Velasco, Ed., "Transformers," in Power System Transients: Parameter Determination. Boca Raton, FL: CRC, 2009, ch. 4, pp. 177-250.
20. P. Gómez and F. A. Uribe, "The numerical laplace transform: An ac-curate tool for analyzing electromagnetic transients on power system devices,"Int. J. Elect. PowerEnergySyst., vol. 31, no. 2, pp. 116-123, Feb./Mar. 2009.
21. COMSOL AB COMSOL Multiphysics User's Guide. Nov. 2008. [On-line]. Available: http://www.comsol.com/
22. A. Semlyen and A. Deri, "Time domain modelling of frequency de-pendent three-phase transmission line impedance," IEEE Trans. Power App. Syst., vol. PAS-104, no. 6, pp. 1549-1555, Jun. 1985.
23. R. L. Stoll, The Analysis of Eddy Currents. London, U.K.: Oxford Univ. Press, 1974.
24. F. de León and A. Semlyen, "Time domain modeling of eddy current effects for transformer transients," IEEE Trans. PowerDel., vol. 8, no. 1, pp. 271-280, Jan. 1993. (Pubitemid 23612133)