Probabilistic Modelling Of Current Harmonics Produced By An AC/DC Converter Under Voltage Unbalance

IEEE Transactions on Power Delivery

Volumn 8, Issue 4, 1993, Pages 2060-2066

  Wang, Yaw Juen ^a   Pierrat, Lambert ^b  

^a CNRS   (France)

^b General Technic Division ^*  (France)

Author keywords

Probabilistic Modelling; Random Harmonics; Static Power Converters; Voltage Unbalance

Indexed keywords

COMPUTER SIMULATION; ELECTRIC CONVERTERS; ELECTRIC LOADS; MATHEMATICAL MODELS; MONTE CARLO METHODS; POWER CONVERTERS; PROBABILITY;

AC/DC CONVERTERS; CURRENT HARMONICS; PROBABILISTIC MODELLING; VOLTAGE UNBALANCE;

ELECTRIC TRANSFORMERS;

EID: 0027685567     PISSN: 08858977     EISSN: 19374208     Source Type: Journal    
DOI: 10.1109/61.248322     Document Type: Article

References (22)

1. T. H. Ortmeyer, N. Kakimoto, T. Hiyama and M. S. A. A. Haman, “Harmonic performance of individual and group loads,” 3rd International Conf. on Harmonics in Power Systems (ICHPS), 1988, pp. 277–283
2. J. M. Crucq and A. Robert, “Statistical approach for harmonics measurements and calculations,” 10th International Conference on Electricity Distribution, Brighton, 8-12 May 1989, IEE Conference Publishcation No. 305, pp. 91–96
3. A. E. Emanuel, J. A. Orr, D. Cyganski and E. M. Gulachenski, “A survey of harmonic voltages and currents at distribution substations,” IEEE Trans. on Power Delivery, Vol. 6, No. 4, October 1991, pp. 1883–1890
4. A. E. Emanuel, J. A. Orr, D. Cyganski and E. M. Gulachenski, “A survey of harmonic voltages and currents at the customer's bus,” 1992 IEEE PES, Winter Meeting, paper no. 92 WM 014-1-PWRD
5. N. B. Rowe, “The summation of randomly - varying phasors or vectors with particular reference to harmonic levels,” IEE Conference Publications No. 110, 1974, pp. 177–181
6. L. Pierrat, “A unified statistical approach to vectorial summation of random harmonic components,” 4th European Conf. on power Electronics and Applications, 3-6 Sept. 1991, Florence, Italy, pp. III 100 - III 105
7. Y. Baghzouz and O. T. Tan, “Probabilistic modeling of power system harmonics,” IEEE Trans. on Industry Applications, Vol. IA-23, No. 1, January/February 1987, pp. 173–180
8. W. E. Kazibwe, T. H. Ortmeyer and M. S. A. A. Hammam, “Summation of probabilistic harmonic vectors,” IEEE Trans. on Power Delivery, Vol. 4, No. 1, Jan 1989, pp. 621–628
9. A. Kloss, “Statistische Betrachtungen zur Oberschwingungsproblematik in Anlagen der Leistungselektronik,” Bull. SEV/VSE 66 (1975) 8, 19. April, pp. 427–433
10. D. O’Kelly, “Probability characteristics of fundamental and harmonic sequence components of randomly varying loads,” IEE Proc., vol. 129, Pt. C, No. 2, March 1982, pp. 70–78
11. R. E. Morrison and A. D. Clark, “Probabilistic representation of harmonics currents in AC traction systems,” IEE Proc., Vol. 131, Pt. B, No. 5, September 1984, pp. 181–189
12. J. A. Orr, A. E. Emanuel and K. W. Oberg, “Current “harmonics generated by a cluster of electric vehicle battery chargers,” IEEE Trans. on Power Apparatus and Systems, Vol. PAS-101, No. 3, March 1982, pp. 691–700
13. A. E. Emanuel and S. R. Kaprielian, “Contribution to the theory of stochastically periodic harmonics in power systems,” IEEE Trans. on Power Delivery, Vol. PWRD-1, No. 3, July 1986, pp. 285–293
14. Y. J. Wang, L. Pierrat, R. Feuillet and R. S. Shi, “Simulation study of random properties of harmonic currents generated by static power converters,” 26th Universities Power Engineering Conference (UPEC), Brighton, 18-20 Sept. 1991, pp. 417–420
15. R. Barnes and K. T. Wong, “Unbanlance and harmonic studies for the channel tunnel railway system,” IEE Proc., Vol. 138, Pt. B, No. 2, March 1991, pp. 41–50
16. Y. J. Wang, L. Pierrat and R. Feuillet, “An Analytical Method for Predicting Current Harmonics Produced by an AC/DC Converter under Unbalanced Supply Voltage,” European Transactions on Electrical Power Engineering (ETEP), Vol. 2, No. 4, July/August 1992, pp. 237–244
17. B. K. Bose, Power Electronics and AC Drives, Prentice-Hall, Englewood Cliffs, 1986
18. L. Pierrat, “On the conditions of appearance of negative-sequence components in a stationarily balanced three-phase networks,” (text in French), Note 11–517, to be published in Compte-Rendus de l’Académie des Sciences (CRAS)
19. A. Papoulis, Probability, Random Variables, and Stochastic Processes, 2nd Ed., McGraw-Hill, New York, 1984
20. G. E. P. Box and M. E. Muller, “A note on the generation of random normal deviates,” The Annals of Mathematical Statistics, Vol. 29,1958, pp. 610–611
21. L. Pierrat, Y. J. Wang and R. Feuillet, “Analytical study of uncharacteristic harmonics resulting from AC/DC converters,” 4th International Conference on Harmonics in Power Systems (ICHPS), Budapest, Hungary, October 4-6, 1990, pp. 481–487
22. M. Abramowitz and I. A. Stegun (eds.), Handbook of Mathematical Functions, 10th Printing, Washington, DC: National Bureau of Standards, Applied Mathematics Series 55, 1972