Non-sinusoidal power theory in a power system having transmission lines with frequency-dependent resistances

IET Generation, Transmission and Distribution

Volumn 1, Issue 2, 2007, Pages 331-339

  Jeon, S J ^a  

^a Pukyong National University   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTRIC LOSSES; ELECTRIC RESISTANCE; NATURAL FREQUENCIES;

FREQUENCY-DEPENDENT RESISTANCES; POWER THEORY;

ELECTRIC LINES;

EID: 34147214783     PISSN: 17518687     EISSN: None     Source Type: Journal    
DOI: 10.1049/iet-gtd:20050446     Document Type: Article

References (36)

1. IEEE Trial-Use Standard ' Definition for the measurement of electric power quantities under sinusoidal, nonsinusoidal, balanced, or unbalanced conditions ', IEEE std. 1459, 2000
2. Curtis, H.L., and Silsbee, F.B.: ' Definitions of power and related quantities ', AIEE Trans., 1935, 54, (2), p. 394-404
3. IEEE ' IEEE standard dictionary of electrical and electronics terms ', (ANSI/IEEE std. 100-1988)
4. Filipski, P.S., Baghzouz, Y., and Cox, M.D.: ' Discussion of power definitions contained in the IEEE dictionary ', IEEE Trans. Power Deliv., 1994, 9, (3), p. 1237-1244 10.1109/61.311149 0885-8977
5. Fryze, S.: ' Active, reactive and apparent power in circuit with non-sinusoidal voltage and current ', Electrotechnische Zeitschrift, 1932, 53, (25), p. 596-599
6. Buchholz, F.: ' Apparent power in unbalanced three-phase systems ', Licht und Kraft, 1922, (2), p. 9-11
7. Depenbrock, M.: ' The FBD-method, a generally applicable tool for analyzing power relations ', IEEE Trans. Power Syst., 1993, 8, (2), p. 381-387 10.1109/59.260849 0885-8950
8. Emanuel, A.E.: ' The Buchholz-Goodhue apparent power definition: the practical approach for nonsinusoidal and unbalanced system ', IEEE Trans. Power Deliv., 1998, 13, (2), p. 344-350 0885-8977
9. Emanuel, A.E.: ' Apparent power definition for three-phase systems ', IEEE Trans. Power Deliv., 1999, 14, (3), p. 767-772 0885-8977
10. Jeon, S.-J.: ' Considerations on a reactive power concept in a multi-line system ', IEEE Trans. Power Deliv., 2006, 21, (2), p. 551-559 10.1109/TPWRD.2005.861330 0885-8977
11. Li, F., Broadwater, R., and Sargent, A.: ' Cable impedance calculations with parallel circuits and multi-neutral returns in distribution networks ', Proc. IEEE Power Engineering Winter Meeting, 2001, p. 898-902
12. Willems, J.L., Ghijselen, J.A., and Emanuel, A.E.: ' The apparent power concept and the IEEE standard 1459-2000 ', IEEE Trans. Power Deliv., 2005, 20, (2), p. 876-884 10.1109/TPWRD.2005.844267 0885-8977
13. Mayordomo, J.G., and Usaola, J.: ' Apparent power and power factor definitions for polyphase non-linear loads when supply conductors present different resistances ', Eur. Trans. Electr. Power, 1993, 3, (6), p. 415-420 1430-144X
14. Willems, J.L., and Ghijselen, J.A.: ' The relationship between the generalized apparent power and the voltage reference ', L'Energia Elettrica, 2004, 81, p. 37-45
15. Jeon, S.-J.: ' Definitions of apparent power and power factor in a power system having transmission lines with unequal resistances ', IEEE Trans. Power Deliv., 2005, 20, (3), p. 1806-1811 10.1109/TPWRD.2005.848658 0885-8977
16. Gruzs, T.M.: ' A survey of neutral currents in three-phase computer power system ', IEEE Trans. Ind. Appl., 1990, 26, (4), p. 719-725 0093-9994
17. ' IEEE Working Group on Nonsinusoidal Situations: Practical definitions for powers in systems with nonsinusoidal waveforms and unbalanced loads: a discussion ', IEEE Trans. Power Deliv., 1996, 11, (1), p. 79-87 10.1109/61.484004 0885-8977
18. Depenbrock, M., and Staut, V.: ' Discussion to "practical definitions for powers in systems with nonsinusoidal waveforms and unbalanced loads: a discussion ', IEEE Trans. Power Deliv., 1996, 11, (1), p. 89-90 0885-8977
19. Emanuel, A.E.: ' Powers in nonsinusoidal situations - a review of definitions and physical meaning ', IEEE Trans. Power Deliv., 1990, 5, (3), p. 1377-1383 10.1109/61.57980 0885-8977
20. Page, C.H.: ' Reactive power in non-sinusoidal situations ', IEEE Trans. Instrum. Meas., 1980, 29, (4), p. 420-423 0018-9456
21. Cockcroft, J.D.: ' Skin effect in rectangular conductors at high frequencies ', R. Soc. Proc., 1929, 122, (A790), p. 533-542
22. Haefner, S.J.: ' Alternating current resistance of rectangular conductors ', IRE Proc., 1937, 25, (4), p. 434-447
23. Konrad, A.: ' Integrodifferential finite element formulation of two-dimensional steady-state skin effect problems ', IEEE Trans. Magn., 1982, 18, (1), p. 284-292 10.1109/TMAG.1982.1061775 0018-9464
24. Waldow, P., and Wolff, I.: ' The skin-effect at high frequencies ', IEEE Trans. Microw. Theory Tech., 1985, 33, (10), p. 1076-1081 10.1109/TMTT.1985. 1133172 0018-9480
25. Morgan, V.T., and Findlay, R.D.: ' The effect of frequency on the resistance and internal inductance of bare ACSR conductors ', IEEE Trans. Power Deliv., 1991, 6, (3), p. 1319-1325 10.1109/61.85881 0885-8977
26. Gatous, O.M.O., and Pissolato, J.: ' Frequency-dependent skin-effect formulation for resistance and internal inductance of a solid cylindrical conductor ', IEE Proc., Microw. Antennas Propag., 2004, 151, (3), p. 212-216 10.1049/ip-map:20040469 1350-2417
27. Hammond, P., and Penman, J.: ' Calculation of eddy currents by dual energy methods ', IEE Proc., 1978, 125, p. 701-708
28. Barton, R.K.: ' Eddy current and skin effect in edgewise wound copper coils ', IEEE Trans. Magn., 1989, 25, (4), p. 3016-3018 10.1109/20.34355 0018-9464
29. Hayt, W.H.: ' Engineering electromagnetics ', 4th (McGraw-Hill International Editions, 1981), p. 398-405
30. Murphy, J.M.D., and Egan, M.G.: ' A comparison of PWM strategies for inverter-fed induction motors ', IEEE Trans. Ind. Appl., 1983, 19, (3), p. 363-369 0093-9994
31. Erdogan, N., Assaf, T., Grisel, R., and Aubourg, M.: ' An accurate 3-phase induction machine model including skin effect and saturations for transient studies ', Proc. Electrical Machines Systems, ICEM, 2003, p. 646-649
32. Filipski, P.S.: ' Apparent power - a misleading quantity in the non-sinusoidal power theories: are all non-sinusoidal power theories doomed to fail? ', Eur. Trans. Electr. Power, 1993, 3, (1), p. 21-26 1430-144X
33. Aziz, M.M.A., Elzahab, E.E.A., Ibrahim, A., and Zobaa, A.F.: ' Skin-effect on optimal power factor ', Proc. IEEE Conf. on Large Engineering Systems, Power Engineering Winter Meeting, 2002, p. 76-78
34. Sharon, D.: ' Power factor definitions and power transfer quality in nonsinusoidal situations ', IEEE Trans. Instrum. Meas., 1996, 45, (3), p. 728-733 10.1109/19.494589 0018-9456
35. LaWhite, N., and Ilic, M.D.: ' Vector space decomposition of reactive power for periodic nonsinusoidal signals ', IEEE Trans. Circuits Syst., 1997, 44, (4), p. 338-346 0098-4094
36. Czarnecki, L.S.: ' Orthogonal decomposition of the currents in a 3-phase nonlinear asymmetrical circuits with a nonsinusoidal voltage source ', IEEE Trans. Instrum. Meas., 1988, 37, (1), p. 30-34 10.1109/19.2658 0018-9456