Comparison of Transmission Line Models by Excluding Frequency Dependence in Complex Power System for Error Estimation

Document Type : Research paper

Authors

Electrical and Electronics Engineering Department, VFSTR deemed to be University, Vadlamudi, Guntur, A.P, India

Abstract

Today, commercial simulation packages can have the capability of solving complex power system networks by using various transmission line models. When there is a change in the modeling routine of transmission lines, their accuracy is also changese main aim of this paper is to compare lumped PI and distribute CP transmission line models in terms of accuracy and optimization capability. The IEEE 57 bus time domain power system models are designed by using these transmission line models for analysis in this paper. In these proposed systems the transmission line parameters are described as frequency independent. Therefore, in CP lines the Clark's transformation method does not provide exact decoupling of lines, to achieve exact decoupling of lines and accuracy the lines are continuously transposed in proposed systems. The NR load flow analysis was used for error estimation in balanced and unbalanced networks. The results had reported voltage error at the buses, transmission line error as function of line length and frequency response of line parameters. The frequency study of the line parameters was shown the PI lines system behaves as low pass filter and the CP lines system behaves as high pass filter. In this paper, also studied the optimization of proposed models by using a well-known Ant Lion Optimization (ALO) algorithm to set control variables, such as generator voltages, position of tap changing transformers and shunt capacitor banks. The optimization results of total power loss, voltage deviation and voltage stability index were compared with other algorithms. The results revealed that the ALO has best cothe nvergence characteristics and best elitism phase. Therefore, the CP lines system had shown considerable improvements of optimization results.

Keywords


  1. W. Dommel, “Digital computer solution of electromagnetic transients in single and multiphase networks”, IEEE Trans. Power Apparatus Syst., vol.88, no. 4 pp. 388– 399, 1969.
  2. J. R. Marti, “Accurate Modeling of Frequency-Dependent Transmission Lines in Electromagnetic Transient Simulations,” IEEE Trans. Power Apparatus Syst., vol. 101, pp. 147–157, 1982.
  3. B. Gustavsen, G. Irwin, R. Mangelrod, D. Braandt and K. Kent, “Transmission Line Models for The Simulation of Interaction Phenomena Between Paralel AC and DC Oerhead Lines,” Int. Conf. Power Syst. Transie., Budapest-Hungary, pp. 20–24, 1999.
  4. M. S. MAMIS¸ and M. KOKSAL, “Remark on the Lumped Parameter Modelling of Transmission Lines,” IEEE Trans. Power Syst., vol. 28, no. 6, pp 565–575, 2000.
  5. Y. LIAO, “Equivalent PI Circuit for Zero-sequence Networks of Parallel Transmission Lines,” Electric Power Compon. Syst., vol. 37, no. 7, pp 787–797, 2009.
  6. E. Hedman,“Propagation on Overhead Transmission LinesI-Theory of Modal Analysis,” IEEE Winter Power Meeting, New York, N. Y., vol. 65, no. 101, pp 200–205, 1965.
  7. C. R. Paul, “Decoupling the Multi conductor Transmission Line Equations,” IEEE Trans. Microwave Theory Tech., vol. 44, no. 8, pp 1429–1440, 1996.
  8. F Castellanos, J R Marti, and F Marcano, “Phase-domain multiphase transmission line models,” Power Energy Syst., vol. 19, no. 4, pp 241–248, 1997.
  9. V. Nguyen, H.W. Dommel, and J.R. Marti, “Direct Phase-Domain Modelling of Frequency-Dependent Overhead Transmission Lines,” IEEE Trans. Power Delivery, vol. 12, no. 3, pp 1335–1342, 1997.
  10. Atef Morched, Bjorn Gustavsen, and Manoocher Tartibi, “A Universal Model for Accurate Calculation of Electromagnetic Transients on Overhead Lines and Underground Cables,” IEEE Trans. Power Delivery, vol. 14, no. 3, pp 1032–1038, Jul. 1999.
  11. C. Tavares, J. Pissolato, and C. M. Portela,“ Mode Domain Multiphase Transmission Line Model - Use in Transient Studies” IEEE Trans. Power Delivery, vol. 14, no. 4, pp 1533–1544, Oct. 1999.
  12. Kurokawa, , E.C. Costa, , J. Pissolato, , A.J. Prado, and L.F. Bovolato, “Proposal of a Transmission Line Model Based on Lumped Elements: An Analytic Solution,” Elec. Power Compon. Syst., vol. 38, no. 14, pp 1577–1594, Dec. 2010.
  13. V. Souza, , C.G. Carvalho, , S. Kurokawa, and J. Pissolato, , “A Distributed-parameters Transmission Line Model Developed Directly in the Phase Domain,” Elec. Power Compon. Syst., vol. 41, no. 11, pp 1100–1113, 2013.
  14. G.D. Carvalho, , E.C.M. Costa, , S. Kurokawa, and J. Pissolato, , “Alternative Phase-domain Model for Multi Conductor Transmission Lines Using Two Modal Transformation Matrices,” Elec. Power Compon. Syst.„ vol. 44, no. 3, pp 291–301, Dec. 2015.
  15. Kurokawa, , M.C. Tavares, , C.M. Portela, and A.J. Prado, , “ Behavior of Overhead Transmission Line Parameters on the Presence of Ground Wires,” IEEE Trans. Power Delivery, vol. 20, no. 2, pp 1669–1676, 2005.
  16. De Conti, and M.P.S. Emídio, ,“ Extension of a modal-domain transmission line model to include frequency dependent ground parameters,” Elec. Power Syst. Research, vol. 138, no. 17, pp 120–130, 2016.
  17. T. Caballero, E. C. Marques Costa, and S. Kurokawa,“ Fitting the frequency-dependent parameters in the Bergeron line model,” Elec. Power Syst. Research, vol. 117, no. 2 pp 14 – 20, 2014.
  18. T. Caballeroa, E. C. M. Costab, S. Kurokawa, “Frequencydependent multi conductor line model based on the Bergeron method,” Elec. Power Syst. Research, vol. 127, no. 33, pp 314–322, 2015.
  19. R. J. Araujo, R. C. Silva, and S. Kurokawa, “Representation of Transmission Lines: A Comparison between the Models Distributed Parameters and Lumped Parameters” IEEE Lat. Am. Trans., vol. 11, no. 4, pp 1047–1052, 2013.
  20. Ramirez, J. L. Naredo, and P. Moreno, “Full FrequencyDependent Line Model for Electromagnetic Transient Simulation Including Lumped and Distributed Sources,” IEEE Trans. Power Delivery, vol. 20, no. 1, pp 292–299, 2005.
  21. Ye, and K. Strunz,“ Multi-Scale and Frequency-Dependent Modeling of Electric Power Transmission Lines,” IEEE Trans. Power Delivery, vol. 33, no. 1, pp 32–41, 2018.
  22. A. Rosendo Macias, A. G. Exposito, and A. B. Soler,“ A Comparison of Techniques for State-Space Transient Analysis of Transmission Lines,” IEEE Trans. Power Delivery, vol. 20, no. 2, pp 894–903, 2005.
  23. Ye, and K. Strunz,“ Modal decoupling of overhead transmission lines using real and constant matrices: Influence of the line length,” Elec. Power Energy Syst., vol. 92, no. 18, pp 202–2011, 2017.
  24. Leeton, D. Uthitsunthorn, U. Kwannetr, N. Sinsuphun and T. Kulworawanichpong, "Power loss minimization using optimal power flow based on particle swarm optimization," ECTI-CON2010: The 2010 ECTI Int. Conf. Elec. Eng./Electron. Computer, Telecommun. Info. Techno., Chiang Mai, 2010, pp. 440–444.
  25. Mouassa, , T. Bouktir, and A. Salhi. "Ant lion optimizer for solving optimal reactive power dispatch problem in power systems." Eng. Sci. Techno. Int. J. 20, no. 3, 885–895, 2017.
  26. Rajan, , K. Jeevan, and T. Malakar. "Weighted elitism based Ant Lion Optimizer to solve optimum VAr planning problem." Appl. Soft Comput., vol. 55, 352-370, 2017.
  27. Mirjalili, Seyedali. "The ant lion optimizer." Eng. Software, 83, 80-98, 2015.
  28. Saremi, Shahrzad, Seyedali Mirjalili, and Andrew Lewis. "Grasshopper optimisation algorithm: theory and application." Eng. Software, vol. 105, 30–47, 2017.
  29. Mirjalili, Seyedali, and Andrew Lewis. "The whale optimization algorithm." Eng. Software, 95, 51-67, 2016.
  30. Bansal, Jagdish Chand, Harish Sharma, Shimpi Singh Jadon, and Maurice Clerc. "Spider monkey optimization algorithm for numerical optimization." Memetic computing, vol. 6, no. 1, 31–47, 2014.
  31. College of Engineering, Electrical Engineering, University of Washington, Power System Test Case Archive, Nov. 2013. [Online]. Available: http://www.ee.washington.edu/research/pstca/
  32. Ramasamy Natarajan, “Computer-Aided Power System Analysis,” 1st ed., New York, Basel, USA: Marcel Dekker, Inc., 2002, Table 2.1.