DOI QR코드

DOI QR Code

Gray Wolf Optimizer for the Optimal Coordination of Directional Overcurrent Relay

  • Received : 2017.09.07
  • Accepted : 2017.12.15
  • Published : 2018.05.01

Abstract

The coordination of directional overcurrent relay (DOCR) is employed in this work, considering gray wolf optimizer (GWO), a recently designed optimizer that employs the hunting and leadership attitude of gray wolves for searching a global optimum. In power system protection coordination problem, the objective function to be optimized is the sum of operating time of all the main relays. The coordination of directional overcurrent relays is formulated as a linear programming problem. The proposed optimization technique aims to minimize the time dial settings (TDS) of the relays. The calculation of the Time Dial Setting (TDS) setting of the relays is the core of the coordination study. In this article two case studies of IEEE 6-bus system and IEEE 30-bus system are utilized to see the efficiency of this algorithm and the results had been compared with the other algorithms available in the reference and it was observed that the proposed scheme is quite competent for dealing with such problems. From analyzing the obtained results, it has been found that the GWO approach provides the most globally optimum solution at a faster convergence speed. GWO has achieved a lot of relaxation due to its easy implementation, modesty and robustness. MATLAB computer programming has been applied to see the effectiveness of this algorithm.

Acknowledgement

Supported by : Korea Electric Power Corporation

References

  1. Anderson, P. M. Power System Protection - Part IV: Reliability of Protection Systems. 1999.
  2. M. H. Dwarakanath and L. Nowtiz, "An application of linear graph theory for coordination of directional overcurrent relays," Proc. Elect. Power Problems-Math conf. Seattle, WA, vol. 1, pp. 104-114, 1980.
  3. R. Thangaraj, M. Pant and K. Deep, "Optimal coordination of over-current relays using modified differential evolution algorithms," Engineering Applications of Artificial Intelligence, vol. 23, pp. 820-829, 2010. https://doi.org/10.1016/j.engappai.2010.01.024
  4. M. Ezzeddine, R. Kaczmarek and M. U. Iftikhar, "Coordination of directional overcurrent relays using a novel method to select their settings," IET generation, transmission & distribution, vol. 5, pp. 743-750, 2011. https://doi.org/10.1049/iet-gtd.2010.0603
  5. P. P. Bedekar, S. R. Bhide, "Optimum coordination of directional overcurrent relays using the hybrid GA-NLP approach," IEEE Trans. Power Delivery, vol. 26, pp. 109-119, 2011. https://doi.org/10.1109/TPWRD.2010.2080289
  6. M. Meskin, A. Domijan and I. Grinberg, "Optimal co-ordination of overcurrent relays in the interconnected power systems using break points," Electric Power Systems Research, vol. 127, pp. 53-63, 2015. https://doi.org/10.1016/j.epsr.2015.05.007
  7. Z. Moravej, F. Adelnia and F. Abbasi, "Optimal coordination of directional overcurrent relays using NSGA-II," Electric Power Systems Research, vol. 119, pp. 228-236, 2015. https://doi.org/10.1016/j.epsr.2014.09.010
  8. S. Mirjalili, S. M. Mirjalili and A. Lewis, "Grey wolf optimizer," Advances in Engineering Software, Elsevier, vol. 69, pp. 46-61, 2014. https://doi.org/10.1016/j.advengsoft.2013.12.007
  9. M. H. Sulaiman, Z. Mustaffa, M. R. Mohamed and O. Aliman, "Using the gray wolf optimizer for solving optimal reactive power dispatch problem," Applied Soft Computing, Elsevier, vol. 32, pp. 286-292, 2015. https://doi.org/10.1016/j.asoc.2015.03.041
  10. C. Muro, R. Escobedo, L. Spector and R. Coppinger, "Wolf-pack (Canis lupus) hunting strategies emerge from simple rules in computational simulations," Behavioral processes, vol. 69, pp. 192-197, 2011.
  11. A. A. El-Fergany and H. M. Hasanien, "Single and multi-objective optimal power flow using gray wolf optimizer and differential evolution algorithms," Electric Power Components and Systems, vol. 43, pp. 1548-1559, 2015. https://doi.org/10.1080/15325008.2015.1041625
  12. H. H. Zeineldin, E. F. El-Saadany and M. M. A. Salama, "Optimal coordination of overcurrent relays using a modified particle swarm optimization," Electric Power Systems Research, vol. 76, pp. 988-995, 2006. https://doi.org/10.1016/j.epsr.2005.12.001
  13. A. Mahari, H. Seyedi, "An analytic approach for optimal coordination of overcurrent relays," IET Generation, Transmission & Distribution, vol. 7, pp. 674-680, 2013. https://doi.org/10.1049/iet-gtd.2012.0721
  14. R. Correa, G. Cardoso, O. C. de Araujo, and L. Mariotto, "Online coordination of directional overcurrent relays using binary integer programming," Electric Power Systems Research, vol. 127, pp. 118-125, 2015. https://doi.org/10.1016/j.epsr.2015.05.017
  15. J. B. Park, K. S. Lee, J. R. Shin, and K. Y. Lee, "A particle swarm optimization for economic dispatch with nonsmooth cost functions," IEEE Trans. Power systems, vol. 20, pp. 34-42, 2005. https://doi.org/10.1109/TPWRS.2004.831275
  16. M. Neyestani, M. M. Farsangi and H. Nezamabadi-Pour, "A modified particle swarm optimization for economic dispatch with non-smooth cost functions," Engineering Applications of Artificial Intelligence, Elsevier, vol. 23, pp. 1121-1126, 2010. https://doi.org/10.1016/j.engappai.2010.06.006
  17. M. M. Mansour, S. F. Mekhamer, and N. El-Kharbawe, "A modified particle swarm optimizer for the coordination of directional overcurrent relays," IEEE Trans. Power delivery, vol. 22, pp. 1400-1410, 2007. https://doi.org/10.1109/TPWRD.2007.899259
  18. Urdaneta, A. J., L. G., Perez, and H. Restrepo, "Optimal coordination of directional overcurrent relays considering dynamic changes in the network topology," IEEE Trans. Power Delivery, vol. 12, pp. 1458-1464, 1997. https://doi.org/10.1109/61.634161
  19. M. H. Hussain, I. Musirin, A. F. Abidin, and S. R. A. Rahim, "Solving directional overcurrent relay coordination problem using artificial bees colony," Intern. J. Electr. Electron. Sci. Eng. vol. 8, pp. 705-710, 2014.
  20. IEEE Committee Report, "Computer representation of overcurrent relay characteristics," IEEE Trans. Power Del., vol. 4, no. 3, pp. 1659-1667, Jul. 1989. https://doi.org/10.1109/61.32656
  21. R. Eberhart, "Kennedy, A new optimizer using particle swarm theory in Micro Machine and Human Science," IEEE Proceedings of the Sixth International Symposium, pp. 39-43, 1995.
  22. J. Robinson, and Y. Rahmat-Samii, "Particle swarm optimization in electromagnetics. IEEE transactions on antennas and propagation," vol. 52, pp. 397-407, 2004. https://doi.org/10.1109/TAP.2004.823969
  23. M. Mansour, T. A. Rahman, "Non-linear optimization using decomposition and coordination," IEEE Trans. Power Apt. & Syst., pp. 1219-1225, 1998.
  24. F. Bergh, A. P. Engelbrecht, "Effects of swarm size on cooperative particle swarm optimizers," Proceedings of the 3rd Annual Conference on Genetic and Evolutionary Computation Morgan Kaufmann Publishers Inc., pp. 892-899, 2001.
  25. T. Amraee, "Coordination of directional overcurrent relays using seeker algorithm," IEEE Trans. Power Delivery, vol. 27, pp. 1415-1422, 2012. https://doi.org/10.1109/TPWRD.2012.2190107
  26. D. K. Singh, and S. Gupta, "Optimal coordination of directional overcurrent relays: A genetic algorithm approach," In Electrical, Electronics and Computer Science (SCEECS), IEEE Conference, pp. 1-4, 2012.
  27. M. Singh, B. K. Panigrahi, and A. R. Abhyankar, "Optimal coordination of directional over-current relays using Teaching Learning-Based Optimization (TLBO) algorithm," International Journal of Electrical Power & Energy Systems, vol. 50, pp. 33-41, 2013. https://doi.org/10.1016/j.ijepes.2013.02.011
  28. M. Zellagui and A. Y. Abdelaziz, "Optimal Coordination of Directional Overcurrent Relays using Hybrid PSO-DE Algorithm," International Electrical Engineering Journal (IEEJ), vol. 6, pp. 1841-1849 2015.
  29. M. Zellagui and H. A. Hassan, "A Hybrid Optimization Algorithm (IA-PSO) for Optimal Coordination of Directional Overcurrent Relays in Meshed Power Systems," WSEAS Trans. Power Systems, vol. 10, pp. 240-250, 2015.
  30. D. Vijayakumar and R. K. Nema, "A novel optimal setting for directional over current relay coordination using particle swarm optimization," International Journal of Electrical Power and Energy Systems Engineering, vol. 2, pp. 928-933, 2008.
  31. A. S. Noghabi, H. R. Mashhadi and J. Sadeh, "Optimal coordination of directional overcurrent relays considering different network topologies using interval linear programming," IEEE Trans. Power Delivery, vol. 25, pp. 1348-1354, 2010. https://doi.org/10.1109/TPWRD.2010.2041560
  32. M.H. Hussain, I. Musirin, A.F. Abidin, and S.R.A. Rahim. "Multi-Objective Approach for Solving Directional Overcurrent Relay Problem Using Modified Firefly Algorithm," vol. 3, pp. 2349-1477, pp. 21-26, 2016.