Share This Article:

Power Network Asymmetrical Faults Analysis Using Instantaneous Symmetrical Components

Full-Text HTML Download Download as PDF (Size:412KB) PP. 205-213
DOI: 10.4236/jemaa.2009.14031    15,054 Downloads   28,345 Views   Citations
Author(s)    Leave a comment


Although the application of Symmetrical Components to time-dependent variables was introduced by Lyon in 1954, for many years its application was essentially restricted to electric machines. Recently, thanks to its advantages, the Lyon transformation is also applied to power network calculation. In this paper, time-dependent symmetrical components are used to study the dynamic analysis of asymmetrical faults in a power system. The Lyon approach allows the calculation of the maximum values of overvoltages and overcurrents under transient conditions and to study network under non-sinusoidal conditions. Finally, some examples with longitudinal asymmetrical faults are illustrated.

Cite this paper

S. LEVA, "Power Network Asymmetrical Faults Analysis Using Instantaneous Symmetrical Components," Journal of Electromagnetic Analysis and Applications, Vol. 1 No. 4, 2009, pp. 205-213. doi: 10.4236/jemaa.2009.14031.


[1] C. L. Fortescue, “Method of symmetrical coordinates applied to the solution of polyphase networks,” AIEE Trans., pt. II, Vol. 37, pp. 1027–1140, 1918.
[2] C. F. Wagner and R. D. Evans, “Symmetrical components,” Mc-Graw-Hill Book Company, Inc., New York, 1933.
[3] H. Edelman, “ThEorie Et Calcul Des REseaux De Transport D’Energie Electrique, Dunod, ” Paris, 1966.
[4] L. O. Chua, C. A. Desoer, and E. S. Ku, “Linear and non linear circuits,” McGraw-Hill Inc, New York, 1994.
[5] S. Leva and A. P. Morando, “Analysis of physically symmetrical lossy three-phase transmission lines in term of space vectors,” IEEE Transactions on Power Delivery, Vol. 21, No. 2, pp. 873–882, 2006.
[6] G. C. Paap, “Symmetrical components in the time domain and their applications to power networks calculations,” IEEE Transactions on Power Systems, Vol. 15, No. 2, 522–528, 2000.
[7] A. M. Stankovi? and T. Aydin, “Analysis of asymmetrical faults in power systems using dynamic phasors,” IEEE Trans. on Power Systems, Vol. 15, No. 3, pp. 1062–1068, 2000.
[8] S. Huang, R. Song, and X. Zhou, “Analysis of balanced and unbalanced faults in power systems using dynamic phasors,” IEEE Proceedings of International Conference on Power Systems Technology, Vol. 3, pp. 1550–1557. 2002.
[9] J. M. Aller, A. Bueno, M. I. Giménez, V. M. Guzmán, T. Pagà, and J. A. Restrepo, “Space vectors applications in power systems,” IEEE proceedings of Third International Conference on Devices, Circuits and Systems, Caracas, pp. 78/1–78/6, 2000.
[10] W. Lyon, “Transient analysis of alternating-current machinery,” J. Wiley & Sons, New York, 1954.
[11] G. J. Retter, “Matrix and space-phasor theory of electrical machines,” Akadémiai Kiadó, Budapest, 1987.
[12] A. Gandelli, S. Leva, and A. P. Morando, “Topological considerations on the symmetrical components transformation,” IEEE Transactions on Circuits and Systems, Vol. 47, No. 8, pp. 1202–1211, 2000.
[13] A. Ferrero, S. Leva, A. P. Morando, and A systematic, “Mathematically and physically sound approach to the energy balance in three-wire, three-phase systems,” L’Energia Elettrica, Vol. 81, No. 5–6, pp. 51–56, 2004.
[14] W. Lyon, “Application of the method of symmetrical components,” Mc Graw-Hill Book Company, New York, 1937.
[15] S. Leva, A. P. Morando, and D. Zaninelli, “Evaluation of line voltage drop in presence of unbalance, harmonics and interharmonics: Theory and applications,” IEEE Transactions on Power Delivery, Vol. 20, No. 1, pp. 390–396, 2005.
[16] A. J. Stubberud and I. J. Williams, J. J. DiStefano, Schaum's, “Outline of feedback and control systems,” Schaum's, McGraw-Hill, New York (USA), 2nd Edition. 1990.
[17] R. Roeper, “Short-circuit currents in three-phase sys-tems,” Berlin and München, Siemens Aktiengesellschaft - John Wiley and Sons, 1985.

comments powered by Disqus

Copyright © 2018 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.