Yıl: 2010 Cilt: 18 Sayı: 1 Sayfa Aralığı: 31 - 42 Metin Dili: İngilizce İndeks Tarihi: 29-07-2022

State variable distributed-parameter representation of transmission line for transient simulations

Öz:
In this paper, a distributed-parameter state variable approach is used to calculate transients on transmission lines based on the concept of travelling waves. The method of characteristics for lossless line is used and the state equations are derived for the system. These equations are converted to a set of difference equations using the trapezoidal rule of integration and solved in time domain using LU decomposition. Single- and multi-phase transmission lines with various linear and non-linear terminations are considered in the illustrative examples. State-space modeling of transposed lines using modal decomposition is introduced and the effects caused by lumped parameter approximation of line losses are described. Comparisons with the results obtained by EMTP and conventional methods based on s-domain are given.
Anahtar Kelime:

Konular: Mühendislik, Elektrik ve Elektronik
Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
  • [1] L. Bergeron, Water Hammer in Hydraulics and Wave Surges in Electricity, ASME Committee, Wiley, New York, 1961.
  • [2] F. H. Branin, Jr., “Transient analysis of lossless transmission line,” Proc. IEEE, vol. 55, pp. 2012–2013, Nov. 1967.
  • [3] H. W. Dommel, “Digital computer solution of electromagnetic transients in single and multiphase networks,” IEEE Trans. Power App. Syst., vol. PAS-88, pp. 388–399, Apr. 1969.
  • [4] H. W. Dommel, EMTP Theory Book, 2nd Edition, Microtran Power System Analysis Corporation, Vancouver, British Columbia, 1992.
  • [5] R. M. Nelms, G. B. Sheble, S. R. Newton, and L. L. Grigsby, “Using a personal computer to teach power system transients,” IEEE Trans. Power Syst., vol. 4, pp. 1293–1297, Aug. 1989.
  • [6] M. S. Mami¸s and M. K¨oksal, “Solution of eigenproblems for state-space transient analysis of transmission lines,” Electric Power Systems Research, vol. 55, pp. 7–17, July 2000.
  • [7] J. A. R., Macias, A. G. Exposito, and A. B. Soler, “A comparison of techniques for state-space transient analysis of transmission lines,” IEEE Trans. on Power. Deliv., vol. 20, Part 1, pp. 894–903, April 2005.
  • [8] A. Greenwood, Electrical Transients in Power Systems, John Wiley, New York, 1991.
  • [9] A. Semlyen, and M. A. Abdel-Rahman, “A state variable approach for the calculation of switching transients on a power transmission line,” IEEE Trans. Circuits Syst. vol. 29, pp. 624–633, Sep. 1982.
  • [10] J. P. Griffith, B. B. Paul, R. K. Arora,”State-variable simulation of transients on transmission lines,” 21th Southeastern Symposium on System Theory, pp. 600–602, 26–28 March 1989.
  • [11] E. Leelarasmee, and P. E Naenna, “A distributed state variables approach to the transmission lines transient simulation”, The 2004 IEEE Asia-Pacific Conf. on Circuits and Systems, vol 1, 6–9 Dec. 2004, pp. 73–76.
  • [12] M. S. Mami¸s, “Discrete-time state-space modeling of distributed parameter transmission line,” EUROCON 2007- The International Conference on Computer as a Tool, Warsaw, September 9–12.
  • [13] R. A. Rohrer, Circuit Theory, Introduction to the State Variable Approach, McGraw-Hill, Tokyo, 1970.
  • [14] F. L. Alvarado, “Parallel solution of transient problems by trapezoidal integration,” IEEE Trans. Power App. and Syst., vol. PAS-98, pp. 1080–1090, May/June 1979.
  • [15] L. M. Wedepohl, “Application of matrix methods to the solution of travelling-wave phenomena in polyphase systems,” Proc. Inst. Elect. Eng., vol. 110, no. 12, pp. 2200–2212, Dec. 1963.
  • [16] M. S. Mami¸s, “Computation of electromagnetic transients on transmission lines with nonlinear components,” IEE Proc. C-Generation Transmission and Distribution, Vol. 150 (2): pp. 200–204, Mar. 2003.
  • [17] T. Hosono, “Numerical inversion of Laplace transform and some applications to wave optics,” Radio Science, vol. 16, No: 6, pp. 1015–1019, Nov.–Dec. 1983.
APA MAMİŞ M, KAYGUSUZ A, KÖKSAL M (2010). State variable distributed-parameter representation of transmission line for transient simulations. , 31 - 42.
Chicago MAMİŞ MEHMET SALİH,KAYGUSUZ Asım,KÖKSAL Muhammet State variable distributed-parameter representation of transmission line for transient simulations. (2010): 31 - 42.
MLA MAMİŞ MEHMET SALİH,KAYGUSUZ Asım,KÖKSAL Muhammet State variable distributed-parameter representation of transmission line for transient simulations. , 2010, ss.31 - 42.
AMA MAMİŞ M,KAYGUSUZ A,KÖKSAL M State variable distributed-parameter representation of transmission line for transient simulations. . 2010; 31 - 42.
Vancouver MAMİŞ M,KAYGUSUZ A,KÖKSAL M State variable distributed-parameter representation of transmission line for transient simulations. . 2010; 31 - 42.
IEEE MAMİŞ M,KAYGUSUZ A,KÖKSAL M "State variable distributed-parameter representation of transmission line for transient simulations." , ss.31 - 42, 2010.
ISNAD MAMİŞ, MEHMET SALİH vd. "State variable distributed-parameter representation of transmission line for transient simulations". (2010), 31-42.
APA MAMİŞ M, KAYGUSUZ A, KÖKSAL M (2010). State variable distributed-parameter representation of transmission line for transient simulations. Turkish Journal of Electrical Engineering and Computer Sciences, 18(1), 31 - 42.
Chicago MAMİŞ MEHMET SALİH,KAYGUSUZ Asım,KÖKSAL Muhammet State variable distributed-parameter representation of transmission line for transient simulations. Turkish Journal of Electrical Engineering and Computer Sciences 18, no.1 (2010): 31 - 42.
MLA MAMİŞ MEHMET SALİH,KAYGUSUZ Asım,KÖKSAL Muhammet State variable distributed-parameter representation of transmission line for transient simulations. Turkish Journal of Electrical Engineering and Computer Sciences, vol.18, no.1, 2010, ss.31 - 42.
AMA MAMİŞ M,KAYGUSUZ A,KÖKSAL M State variable distributed-parameter representation of transmission line for transient simulations. Turkish Journal of Electrical Engineering and Computer Sciences. 2010; 18(1): 31 - 42.
Vancouver MAMİŞ M,KAYGUSUZ A,KÖKSAL M State variable distributed-parameter representation of transmission line for transient simulations. Turkish Journal of Electrical Engineering and Computer Sciences. 2010; 18(1): 31 - 42.
IEEE MAMİŞ M,KAYGUSUZ A,KÖKSAL M "State variable distributed-parameter representation of transmission line for transient simulations." Turkish Journal of Electrical Engineering and Computer Sciences, 18, ss.31 - 42, 2010.
ISNAD MAMİŞ, MEHMET SALİH vd. "State variable distributed-parameter representation of transmission line for transient simulations". Turkish Journal of Electrical Engineering and Computer Sciences 18/1 (2010), 31-42.