A contribution to the modeling of three phase transformers using reluctances

IEEE Transactions on Magnetics

Volumn 32, Issue 2, 1996, Pages 335-343

  Elleuch, Mohammed ^a,b   Poloujadoff, Michel ^a,c  

^a IEEE

^b UNIVERSITY OF TUNIS   (Tunisia)

^c SORBONNE UNIVERSITÉ   (France)

Author keywords

[No Author keywords available]

Indexed keywords

CIRCUIT THEORY; COMPUTER SIMULATION; ELECTRIC LOSSES; ELECTRIC WINDINGS; MAGNETIC CIRCUITS; MAGNETIC CORES; MATHEMATICAL MODELS;

AMPERES LAW; GAUSS LAW; LINEAR RELUCTANCES; NONLINEAR RELUCTANCES; PHASE LEAKAGE FLUXES; SHORT CIRCUIT TESTS; THREE PHASE TRANSFORMERS; ZERO SEQUENCE TESTS;

ELECTRIC TRANSFORMERS;

EID: 0030104380     PISSN: 00189464     EISSN: None     Source Type: Journal    
DOI: 10.1109/20.486517     Document Type: Article

References (50)

1. D. N. Ewart, "Digital computer Simulation model of steel-core transformer," IEEE Trans. Power Delivery, vol. 1, pp. 174-183, July 1986.
2. R. Yacamini, "The calculation of inrush current in three-phase transformers," IEE Proc., Pt. B, vol. 133, no. 1, pp. 235-242, Jan. 1986.
3. M. A. Rahman, "Digital simulation of magnetizing inrush currents in three-phase transformers," IEEE Trans. Power Delivery, vol. 1, pp. 235-242, Oct. 1986.
4. M. Elleuch and M. Poloujadoff, "Three phase, three limb transformer model for switching transient calculations. Part I: Parameter definition and identification." Acta Technica Csav, no. 1, pp. 100-117, 1988.
5. R. C. Y. Ling and A. Basak, "Investigation of magnetizing inrush current in a single-phase transformer," IEEE Trans. Magn., vol. 24, pp. 3217-3222, 1988.
6. J. D. Greene and C. A. Gross, "Nonlinear modeling of transformer," IEEE Trans. Ind. Appl., vol. 24, pp. 434-438, 1988.
7. R. C. Y. Ling and A. Basak, "Numerical prediction of magnetising inrush current in transformers," Physica Scripta, vol. 40, pp. 246-248, 1989.
8. D. J. Wilcox, "Theory of transformer modelling using modal analysis," IEE Proc., Pt. C, vol. 138, no. 2, pp. 121-128, Mar. 1991.
9. S. Ray, "Analysis of transient behaviour of power system circuits containing iron cored coils," IEE Proc., Pt. C, vol. 138, no. 4, pp. 275-282, July 1991.
10. C. M. Arturi, "Transient simulation and analysis of three-phase step-up transformer following an out-of-phase synchronisation," IEEE Trans. Power Delivery, vol. 6, pp. 196-207, Jan. 1991.
11. R. C. Degeneff, M. R. Gutierrez, and P. J. McKenny, "A method for constructing reduced order transformer models for system studies from detailed lumped parameter models," IEEE Trans. Power Delivery, vol. 7, no. 2, pp. 649-655, 1992.
12. X. S. Chen and P. Neudorfer, "Digital model for transient studies of a three-phase five legged transformer," IEE Proc., Pt. C, vol. 139, no. 4, pp. 351-358, July 1992.
13. D. Dolinar, J. Pihler, and B. Grear, "Dynamic model of three-phase power transformer," presented at the IEEE/PES, Winter Meet., Columbus, Jan. 31-Feb. 5, 1993.
14. F. Leon and A. Semlyen, "Complete transformer model for electromagnetic transients," IEEE Trans. Power Delivery, vol. 9, pp. 231-239, Jan. 1994.
15. N. D. Hatziargyriou, J. M. Prousalidis, and B. C. Papadias, "Generalized transformer model based on the analysis of its magnetic core circuit," IEE Proc., Pt. C, vol. 140, no. 4, pp. 269-278, 1993.
16. P. Leplus and G. Manesse, "Numerical modelling of three phase forced flux transformer located in a static conversion chain," in Proc. IMACS, TCI'90, vol. 1, Nancy, pp. 96-74, Sept. 1990.
17. J. Takehara, M. Kitagawa, T. Nakata, and N. Takahashi, "Finite element analysis of inrush currents in three-phase transformers," IEEE Trans. Mag., vol. 23, pp. 2647-2649, 1987.
18. _, "Study on factors affecting the inrush current phenomena of transformers," Elec. Eng. Japan, vol. 109, no. 1, pp. 125-134, 1989.
19. E. Giannatasio, J. F. Faltermeir, and M. Scatte, "L'apport des matériaux dans l'évolution des transformateurs de distribution," Revue Générale d'électricité, no. 11, pp. 13-18, Dec. 1989.
20. A. J. Moses, "Electrical steels: Past, present and future developments," IEE Proc., Pt. A, vol. 137, no. 5, pp. 233-245, 1990.
21. H. W. Dommel. "Transformer models in the simulation of electromagnetic transients," in Proc. Power Syst. Computat, Conf., Paper 3.1/4, Sept. 1-5, 1975.
22. V. Brandwajn, H. W. Dommel, and I. I. Dommel, "Matrix representation of three-phase N-winding transformers for steady-state and transient studies," IEEE Trans. Power Apparatus Syst., vol. 101, pp. 1369-1378, June 1982.
23. E. P. Dick and W. Watson, "Transformer models for transient studies based on field measurements," IEEE Trans. Power Apparatus Syst., vol. 100, pp. 409-419, 1981.
24. W. K. Macfadyen, R. R. S. Simpson, R. D. Slater, and W. S. Wood, "Method of predicting transient current patterns in transformers," IEE Proc., vol. 120, no. 11, pp. 1393-1396, Nov. 1973.
25. H. L. Nakra and T. H. Barton, "Three phase transformer transients," IEEE Trans. Power Apparatus Syst., vol. 93, pp. 1810-1819, 1974.
26. J. W. Teape, R. D. Slater, R. R. S. Simpson, and W. S. Wood, "Hysteresis effects in transformers including ferroresonance. " IEE Proc., vol. 123, no. 2, pp. 173-158, Feb. 1976.
27. N. L. Diseko and J. P. Bickford, "A method of simulating linear and nonlinear resonant phenomena associated with transformer feeders," IEE Proc., Pt. C, vol. 127, no. 3, pp. 169-178, May 1980.
28. M. Tartaglia, "Sulla determinazione della correnti all'inserzioneone a vuoto di trasformatori trifasi," L'Energia Elettrica, no. 7-8, pp. 385-392, 1976.
29. S. Ihara, J. Panek, and E. T. Tuohy, "Chopping of transformer magnetizing currents: Part II: Three-phase transformer," IEEE Trans. Power Apparatus Syst., vol. 102, no. 5, pp. 1106-1114, May 1983.
30. H. E. Dijk and N. V. Kema, "Voltage jump at transformer terminals due to non-simultaneous switching," IEEE Trans. Power Delivery, vol. 1, pp. 147-155, July 1986.
31. R. Yacamini and A. Abu-Nasser, "Numerical calculation of inrush current in single-phase transformers," IEE Proc., Pt. B, vol. 128, no. 6, pp. 327-334, 1981.
32. S. Akpinar, M. Coulson, R. R. S. Simpson, and R. D. Slater, "Cal-culation of transient current in transformers," IEE Proc., Pt. C, vol. 129, no. 1, pp. 30-34, Jan. 1982.
33. F. Leon and A. Semlyen, "A simple representation of dynamic hysteresis losses in power transformers," presented at the IEEE/PES Summer Meet., San Fransicso, July 1994.
34. G. Swift, "Power transformer core behavior under transient conditions," IEEE Trans. Power Apparatus Syst., vol. 90, pp. 2206-2210, 1971.
35. K. Foster, F. E. Werner, and R. M. Vecchio, "Loss separation measurements for several electrical steels," J. Appl. Phys., vol. 35. no. 11, pp. 8308-8310, Nov. 1982.
36. D. S. Takach and R. L. Boggavarapu, "Distribution transformer no load losses," IEEE Trans. Power Apparatus Syst., vol. 140, pp. 181-192, 1985.
37. T. Sato and Y. Sakaki, "Physical meaning of equivalent loss resistance of magnetic cores," IEEE Trans. Magn., vol, 26, pp. 2894-2897, 1990.
38. G. Bertotti, "General properties of power losses in soft ferromagnetic materials," IEEE Trans. Magn., vol. 24, pp. 621-630, Jan. 1988.
39. F. Fiorello and Novikov, "An improved approach to power loss in magnetic laminations under nonsinusoidal induction waveform," IEEE Trans. Magn., vol. 26, pp. 2904-2910, Sept. 1990.
40. M. Amar and F. Protat, "A simple method for the estimation of power losses in silicon iron sheets under alternating pulse voltage excitation," IEEE Trans. Magn., vol. 30, pp. 942-944, Mar. 1994.
41. Z. Valkovic, "Influence of transformer core design on power losses," IEEE Trans. Magn., vol. 18, pp. 801-804, 1982.
42. T. Nakata, "Numerical analysis of flux and loss distribution in electrical machinery," IEEE Trans. Magn., vol. 20, pp. 1750-1755, Sept. 1984.
43. R. S. Albir and A. J. Moses, "Reduction in transformer losses achieved by staggering lamination layers," Physica Scripta, vol. 39, pp. 629-638, 1989.
44. Z. Godec, "Influence of slitting on core losses and magnetization of grain-oriented electrical steels," IEEE Trans. Magn., vol. 13, pp. 1053-1057, July 1977.
45. M. Elleuch, M. B. A. Ben Salah, and H. Smaoui, "Contribution à la séparation des pertes dans les tôles magnétiques," J. Tunisiennes d'Electrotechnique et d'Automatique, vol. 2, Hammamet, pp. 39-45, Nov. 1994.
46. A. A. Abdul Quader and A. Basak, "Building factor of a 100 KVA 3-phase distribution transformer core," IEEE Trans. Magn., vol. 18, pp. 1487-1489, Nov. 1982.
47. S. Wada, T. Yagisawa, and N. Asai, "Building factors of transformer core made from low loss Si-steel sheets," Physica Scripta, vol. 39, pp. 403-405, 1989.
48. F. Leon and A. Semlyen, "Efficient calculation of elementary parameters of transformers," IEEE Trans. Power Delivery, vol. 7, pp. 376-383, Jan. 1992.
49. P. Bastard, P. Bertrand, and M. Meunier, "A transformer model for winding fault studies," IEEE Trans. Power Delivery, vol. 9, pp. 690-699. Apr. 1994.
50. D. Thompson and Q. J. Wang, "3-Dimesional analysis of transformer leakage fields," in Proc. IMACS, TCI'90, vol. 1, Nancy, pp. 559-562, 1990.