Table of Contents Author Guidelines Submit a Manuscript
Mathematical Problems in Engineering
Volume 2009, Article ID 584637, 18 pages
http://dx.doi.org/10.1155/2009/584637
Research Article

A New Approach to Nonsinusoidal Steady-State Power System Analysis

1Electrical Engineering Department, University of Kashan, 87317-51167 Kashan, Iran
2Laboratoire d'Electrotechnique de Grenoble, INPG/ENSIEG, 46-38402 BP46, Saint Martin d'Hères Cedex, France

Received 17 January 2009; Accepted 16 June 2009

Academic Editor: Mohammad Younis

Copyright © 2009 A. Ketabi et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. A. Semlyen, E. Acha, and J. Arrillaga, “Newton-type algorithms for the harmonic phasor analysis of nonlinear power circuits in periodical steady state with special refrence to magnetic nonlinearities,” IEEE Transactions on Power Systems, vol. 103, pp. 310–317, 1991. View at Google Scholar
  2. G. Murere, S. Lefebvre, and X. Dai Do, “A generalized harmonic balance method for EMTP initialization,” IEEE Transactions on Power Delivery, vol. 10, no. 3, pp. 1353–1359, 1995. View at Publisher · View at Google Scholar
  3. B. K. Perkins, J. R. Marti, and H. W. Dommel, “Nonlinear elements in the EMTP: steady-state initialization,” IEEE Transactions on Power Systems, vol. 10, no. 2, pp. 593–601, 1995. View at Publisher · View at Google Scholar
  4. Q. Wang and J. R. Marti, “A waveform relaxation technique for steady state initialization of circuits with nonlinear elements and ideal diodes,” IEEE Transactions on Power Delivery, vol. 11, no. 3, pp. 1437–1443, 1996. View at Publisher · View at Google Scholar
  5. A. Semlyen and A. Medina, “Computation of the periodic steady state in systems with nonlinear components using a hybrid time and frequency domain methodology,” IEEE Transactions on Power Systems, vol. 10, no. 3, pp. 1498–1504, 1995. View at Publisher · View at Google Scholar
  6. A. Semlyen and M. Shlash, “Principles of modular harmonic power flow methodology,” IEE Proceedings: Generation, Transmission and Distribution, vol. 147, no. 1, pp. 1–5, 2000. View at Publisher · View at Google Scholar
  7. A. P. S. Meliopoulos and C.-H. Lee, “An alternative method for transient analysis via wavelets,” IEEE Transactions on Power Delivery, vol. 15, no. 1, pp. 114–121, 2000. View at Publisher · View at Google Scholar
  8. T. Zheng, E. B. Makram, and A. A. Girgis, “Power system transient and harmonic studies using wavelet transform,” IEEE Transactions on Power Delivery, vol. 14, no. 4, pp. 1461–1468, 1999. View at Publisher · View at Google Scholar
  9. D. C. Robertson, O. I. Camps, and J. S. Meyer, “Wavelets and electromagnetics power system transients,” IEEE Transactions on Power Delivery, vol. 11, no. 2, pp. 1050–1058, 1996. View at Publisher · View at Google Scholar
  10. K. Amaratunga, J. R. Williams, S. Qian, and J. Weiss, “Wavelet-Galerkin solutions for one-dimensional partial differential equations,” International Journal for Numerical Methods in Engineering, vol. 37, no. 16, pp. 2703–2716, 1994. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  11. I. Daubechies, “The wavelet transform, time-frequency localization and signal analysis,” IEEE Transactions on Information Theory, vol. 36, no. 5, pp. 961–1005, 1990. View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  12. G. Beylkin, “On the representation of operators in bases of compactly supported wavelets,” SIAM Journal on Numerical Analysis, vol. 29, no. 6, pp. 1716–1740, 1992. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  13. N. A . Coult, A multiresolution analysis for homogenization of partial differential equations, Ph.D. thesis, Department of Applied Mathematics, University of Colorado, 1997.
  14. R. M. Gray, Toeplitz and Circulant Matrices: A Review, chapter 3, 2005.
  15. W. S. Meyer and H. W. Dommel, “Numerical modeling of frequency dependent transmission line parameters in an electromagnetic transient program,” IEEE Transactions on Power Apparatus and Systems, vol. 93, pp. 1401–1409, 1974. View at Publisher · View at Google Scholar
  16. A. Ametani, “A highly efficient method for calculating transmission line transients,” IEEE Transactions on Power Apparatus and Systems, vol. 95, no. 5, pp. 1545–1551, 1976. View at Publisher · View at Google Scholar
  17. J. R. Marti, “Accurate modeling of frequency-dependent transmission lines in electromagnetic transient simulations,” IEEE Transactions on Power Apparatus and Systems, vol. 101, no. 1, pp. 147–157, 1982. View at Publisher · View at Google Scholar
  18. R. Yacamini and J. W. Resende, “Thyristor controlled reactors as harmonic sources in HVDC converters station and AC systems,” IEE Proceeding, vol. 133, no. 4, part B, pp. 263–269, 1986. View at Google Scholar
  19. W. Xu and H. W. Dommel, “Computation of steady state harmonics of Static Var Compensators,” in Proceedings of the International Conference on Harmonics in Power Systems, pp. 239–245, Nashville, Ind, USA, October 1988.
  20. L. J. Bohmann and R. H. Lasseter, “Harmonic interactions in thyristor controlled reactor circuits,” IEEE Transactions on Power Delivery, vol. 4, no. 3, pp. 1919–1926, 1989. View at Publisher · View at Google Scholar
  21. A. Medina, J. Arrillaga, and E. Acha, “Sparsity-oriented hybrid formulation of linear multiports and its applications to harmonic analysis,” IEEE Transactions on Power Delivery, vol. 5, no. 3, pp. 1453–1458, 1989. View at Publisher · View at Google Scholar
  22. J. Rico, E. Acha, and T. Miller, “Harmonic domain modeling of three phase Thyristor-Controlled reactors by means of switching vectors and discrete convolutions,” IEEE Transactions on Power Delivery, vol. 11, no. 3, 1996. View at Publisher · View at Google Scholar
  23. T. Tarasiuk, “Hybrid wavelet-Fourier spectrum analysis,” IEEE Transactions on Power Delivery, vol. 19, no. 3, pp. 957–964, 2004. View at Publisher · View at Google Scholar
  24. L. Eren and M. J. Devaney, “Calculation of power system harmonics via wavelet packet decomposition in real time metering,” in Proceedings of the IEEE Instrumentation and Measurement Technology Conference, vol. 2, pp. 1643–1647, 2002.
  25. R. Abu-hashim, R. Burch, G. Chang et al., “Test systems for harmonics modeling and simulation,” IEEE Transactions on Power Delivery, vol. 14, no. 2, pp. 579–583, 1999. View at Publisher · View at Google Scholar