Techno-economic Unified OPF Modeling for VSC-HVDC Converter Installation

This paper demonstrates the analysis of novel methodology developed to select optimal buses for installation of convertor stations in the hybrid voltage source converter based high voltage direct current system. Here, a modified unified optimal power flow model is developed for the optimal power flow problem and solved using the particle swarm optimization technique for the voltage source converter-based high voltage direct current network. The analysis has been performed for optimizing the various techno-economic objective functions, including generation cost, voltage deviation, and total power system losses, for better power system operation. The developed unified optimal power flow model's effectiveness and methodology for deciding the high voltage direct current converter’s optimal location are examined, with several tests performed with modified five-bus and IEEE-30 bus system. The impact of high voltage direct current line replacement is decided based on optimal results obtained for selected techno-economic objective functions by replacing each AC line with high voltage direct current independently. The obtained results have proved the voltage source converter-high voltage direct current controller’s impact on optimization of generation cost, voltage deviation, and total power system losses.

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1. K. Padiyar, FACTS Controllers in Power Transmission and Distribution. Tunbridge Wells: Anshan Publishing, 2007.

2. A. de Oliveira, C. Tiburcio, M. Lemes and D. Retzmann, Prospects of voltage-sourced converters (VSC) applications in DC transmission systems. IEEE/PES Transmission and Distribution Conference and Exposition: Latin America (T&D-LA), pp. 491–495, 2010.

3. N. Flourentzou, V. G. Agelidis and G. D. Demetriades, “VSC-based HVDC power transmission systems: An overview,” IEEE Transactions on Power Electronics, vol. 24, no. 3, pp. 592–602, 2009.

4. D. Krug, S. Bernet and S. Dieckerhoff, “Comparison of state-of-theart voltage source converter topologies for medium voltage applications,” 38th IAS Annual Meeting on Conference Record of the Industry Applications Conference, vol. 1, pp. 168–175, 2003.

5. G. Radomski, “Modelling and modulation of voltage source converter,”, in 13th International Power Electronics and Motion Controlled Conference, vol. 2008, 2008, pp. 504–511.

6. Z. Xu and H. Chen, “Review and applications of VSC HVDC,” Gaodianya Jishu/High Voltage Engineering, vol. 33, no. 1, pp. 1–10, 2007.

7. D. I. Sun, B. Ashley, B. Brewer, A. Hughes and W. F. Tinney, “Optimal power flow by Newton approach,” IEEE Transactions on Power Apparatus and Systems, vol. PAS–103, no. 10, pp. 2864–2880, 1984.

8. J. Yuryevich and K. P. Wong, “Evolutionary programming based optimal power flow algorithm,” IEEE Transactions on Power Systems, vol. 14, no. 4, pp. 1245–1250, 1999.

9. S. R. Paranjothi and K. Anburaja, “Optimal power flow using refined genetic algorithm,” Electric Power Components and Systems, vol. 30, no. 10, pp. 1055–1063, 2002.

10. M. A. Abido, “Optimal power flow using particle swarm optimization,” International Journal of Electrical Power and Energy Systems, vol. 24, no. 7, pp. 563–571, 2002.

11. L. Le Dinh, D. V. Ngoc and P. Vasant, “Artificial bee colony algorithm for solving optimal power flow problem,” TheScientificWorldJournal, vol. 2013, 159040, 2013.

12. H. R. E. H. Bouchekara, M. A. Abido and M. Boucherma, “Optimal power flow using teaching-learning-based optimization technique,” Electric Power Systems Research, vol. 114, pp. 49–59, 2014.

13. M. A. Abido, “Optimal power flow using tabu search algorithm,” Electric Power Components and Systems, vol. 30, no. 5, pp. 469–483, 2002.

14. U. Kılıç, K. Ayan and U. Arifoğlu, “Optimizing reactive power flow of HVDC systems using genetic algorithm,” International Journal of Electrical Power and Energy Systems, vol. 55, pp. 1–12, 2014.

15. U. Kılıç and K. Ayan, “Optimal power flow solution of two-terminal HVDC systems using genetic algorithm,” Electrical Engineering, vol. 96, no. 1, pp. 65–77, 2014.

16. U. Kılıç and K. Ayan, “Optimizing power flow of AC–DC power systems using artificial bee colony algorithm,” International Journal of Electrical Power and Energy Systems, vol. 53, pp. 592–602, 2013.

17. R. Wiget and G. Andersson, “Optimal power flow for combined AC and multi-terminal HVDC grids based on VSC converters,”, IEEE Power and Energy Society General Meeting., vol. 2012, pp. 1–8, 2012.

18. R. Wiget and G. Andersson, “DC optimal power flow including HVDC grids,”, in IEEE Electrical Power & Energy Conference, vol. 2013, pp. 1–6, 2013.

19. M. Baradar, M. R. Hesamzadeh and M. Ghandhari, “Modelling of multi-terminal HVDC systems in optimal power flow formulation,” IEEE Electrical Power and Energy Conference, 2012, pp. 170–175, 2012.

20. Z. Wei, C. Ji, G. Sun, C. Wang and W. Sun, “Interior-point optimal power flow of AC-DC system with VSC-HVDC,”, Proceedings of the CSEE, Vol. 32, no. 19, pp. 89–95, 2012.

21. A. Pizano-Martinez, C. R. Fuerte-Esquivel, H. Ambriz-Pérez and E. Acha, “Modeling of VSC-based HVDC systems for a Newton-Raphson OPF algorithm,” IEEE Transactions on Power Systems, vol. 22, no. 4, pp. 1794–1803, 2007.

22. W. Feng, L. B. Tjernberg, A. Mannikoff and A. Bergman, “An extended OPF incorporating multi-terminal VSC-HVDC and its application on transmission loss evaluation,” IEEE Grenoble Conference, Vol. 2013, pp. 1–6, 2013.

23. Y. Li, Y. Li, G. Li, D. Zhao and C. Chen, “Two-stage multi-objective OPF for AC/DC grids with VSC-HVDC: Incorporating decisions analysis into optimization process,” Energy, vol. 147, pp. 286–296, 2018.

24. X. Liu, X. Wang and J. Wen., “Optimal power flow of DC-grid based on improved PSO algorithm,” Journal of Electrical Engineering and Technology, vol. 12, no. 4, pp. 1586–1592, 2017.

25. M. K. Kim, “Multi-objective optimization operation with corrective control actions for meshed AC/DC grids including multi-terminal VSC-HVDC,” International Journal of Electrical Power and Energy Systems, vol. 93, pp. 178–193, 2017.

26. N. Rani, P. Choudekar, D. A. Ruchira and A. Singh, “Generation rescheduling using PSO–OPF,” International Journal of Pure and Applied Mathematics, vol. 114, no. 8, pp. 233–241, 2017.

27. S. R. Inkollu and V. R. Kota, “Optimal setting of FACTS devices for voltage stability improvement using PSO adaptive GSA hybrid algorithm,” Engineering Science and Technology, An International Journal, vol. 19, no. 3, pp. 1166–1176, 2016.

28. A. R. Jordehi, “Particle swarm optimisation (PSO) for allocation of FACTS devices in electric transmission systems: A review,” Renewable and Sustainable Energy Reviews, vol. 52, pp. 1260–1267, 2015.

29. E. Naderi, M. Pourakbari-Kasmaei and H. Abdi, “An efficient particle swarm optimization algorithm to solve optimal power flow problem integrated with FACTS devices,” Applied Soft Computing, vol. 80, pp. 243–262, 2019.

30. R. Srinivasa Rao and V. Srinivasa Rao, “A generalized approach for determination of optimal location and performance analysis of FACTs devices,” International Journal of Electrical Power and Energy Systems, vol. 73, pp. 711–724, 2015.

31. K. Ravi and M. Rajaram, “Optimal location of FACTS devices using improved particle swarm optimization,” International Journal of Electrical Power and Energy Systems, vol. 49, pp. 333–338, 2013.

32. M. Saravanan, S. M. R. Slochanal, P. Venkatesh and J. P. S. Abraham, “Application of particle swarm optimization technique for optimal location of FACTS devices considering cost of installation and system loadability,” Electric Power Systems Research, vol. 77, no. 3–4, pp. 276–283, 2007.

33. R. P. Singh, V. Mukherjee and S. P. Ghoshal, “Particle swarm optimization with an aging leader and challengers algorithm for optimal power flow problem with FACTS devices,” International Journal of Electrical Power and Energy Systems, vol. 64, pp. 1185–1196, 2015.

34. W. Ongsakul and P. Bhasaputra, “Optimal power flow with FACTS devices by hybrid TS/SA approach,” International Journal of Electrical Power and Energy Systems, vol. 24, no. 10, pp. 851–857, 2002.

35. P. Choudekar, S. K. Sinha and A. Siddiqui, “Optimal location of SVC for improvement in voltage stability of a power system under normal and contingency condition,” International Journal of System Assurance Engineering and Management, vol. 8, no. S2, pp. 1312–1318, 2017.

36. M. Dazahra, F. Elmariami, A. Belfqih and J. Boukherouaa, “Optimal location of SVC using particle swarm optimization and voltage stability indexes,” International Journal of Electrical Computer Engineering, vol. 6, no. 6, p. 2581, 2016.

37. B. V. Kumar and V. Ramaiah, “Enhancement of dynamic stability by optimal location and capacity of UPFC: A hybrid approach,” Energy, vol. 190, p. 116464, 2020.

38. M. V. Suganyadevi and S. Parameswari, “Congestion management in deregulated power system by locating series FACTS devices,” International Journal of Computer Applications, vol. 13, no. 8, pp. 19–22, 2011.

39. H. I. Shaheen, G. I. Rashed and S. J. Cheng, “Optimal location and parameter setting of UPFC for enhancing power system security based on differential evolution algorithm,” International Journal of Electrical Power and Energy Systems, vol. 33, no. 1, pp. 94–105, 2011.

40. S. Agrawal and P. Kundu, “A unified power flow analysis for VSCMTDC system with distributed generation,” 7th International Conference on Power Systems (ICPS), vol. 2017, pp. 659–664, 2017.

41. J. Beerten, S. Cole and R. Belmans, “Generalized steady-state VSC MTDC model for sequential AC/DC power flow algorithms,” IEEE Transactions on Power Systems, vol. 27, no. 2, pp. 821–829, 2012.

42. J. Kennedy and R. Eberhart, “Particle swarm optimization,”, Proceedings of ICNN'95-International conference on neural networks, 1995, vol. 4., pp. 1942–1948.

43. R. D. Zimmerman, C. E. Murillo-Sánchez and D. J. M. Gan, MATPOWER: A MATLAB Power System Simulation Package, Vol. 1. Ithaca NY: Power Systems Engineering Research Center, 1997, pp. 10–17.

44. O. Alsac and B. Stott, “Optimal load flow with steady-state security,” IEEE Transactions on Power Apparatus and Systems, vol. PAS–93, no. 3, pp. 745–751, 1974.

45. X. -P. Zhang, “Multiterminal voltage-sourced converter-based HVDC models for power flow analysis,” IEEE Transactions on Power Systems, vol. 19, no. 4, pp. 1877–1884, 2004.