Journal of Electrical Engineering and Technology

The Korean Institute of Electrical Engineers (대한전기학회)
권호 표지
DOI QR코드

DOI QR Code

Optimal Placement of Phasor Measurement Unit for Observation Reliability Enhancement

  • TRAN, Van-Khoi (School of Electrical Engineering, Beijing Jiaotong University) ;
  • ZHANG, He-sheng (School of Electrical Engineering, Beijing Jiaotong University) ;
  • NGUYEN, Van-Nghia (Dept. of Electrical Engineering, University of Transport and Communications)
  • Received : 2016.07.07
  • Accepted : 2017.01.17
  • Published : 2017.05.01
Download PDF
⟨ Previous Next ⟩

Abstract

Phasor Measurement Unit (PMU) placement is a crucial problem for State Estimation (SE) of the power system, which can ensure that the power network is fully observed. Further, the observation reliability problem of the system has been concerned in the operation conditions. In this paper, based on modified weighted adjacent matrix ($A_w$), an optimal placement method is proposed to solve simultaneously two problems involving the optimal PMU placement problem and the observation reliability enhancement problem of the system. The purpose of the proposed method is to achieve both the minimum total cost and the maximum observation reliability, with a focus on increasing the security of observability, strengthening the observation reliability of buses as well as enhancing the effectiveness of redundancy. Simulations on IEEE 14, 24, 30 and 57 bus test systems are presented to justify the methodology. The results of this study show that the proposed method is not only ensuring the power network having the observability effectively but also enhancing significantly the observation reliability. Therefore, it can be a useful tool for SE of the power system.

Keywords

References

  1. Gou, B., "Optimal Placement of PMUs by Integer Linear Programming," IEEE Transaction on Power Systems, vol. 23, no. 3, pp. 1525-1526, 2008. https://doi.org/10.1109/TPWRS.2008.926723
  2. Xu, B. and A. Abur, "Observability Analysis and Measurement Placement for Systems with PMUs," in Power Systems Conference & Exposition, pp. 943-946, 2004.
  3. Naydu, G.V. and A.B. Parmar, "Optimal Placement of Phasor Measurement Units using Integer Linear Programming," International Journal of Engineering Development and Research, vol. 2, no. 2, pp. 2544-2549, 2014.
  4. Dua, D., S. Dambhare, and R.K. Gajbhiye, "Optimal Multistage Scheduling of PMU Placement: An ILP approach," IEEE Transactions on Power Delivery, vol. 23, no. 4, pp. 1812-1820, 2008. https://doi.org/10.1109/TPWRD.2008.919046
  5. P.Theodorakatos, N., N.M. Manousakis, and G.N. Korres, "Optimal Placement of Phasor Measurement Units with Linear and Non-linear Models," Electric Power Components and Systems, vol. 43, no. 4, pp. 357-371, 2015. https://doi.org/10.1080/15325008.2014.981319
  6. Shewale, R.H., et al., "Optimal Placement of Phasor Measurement Unit for Power System Observability by Heuristic Search Method," International journal of Advanced Technology & Engineering Research, vol. 2, no. 2, pp. 128-133, 2012.
  7. Peng, J., Y. Sun, and H.F. Wang, "Optimal PMU Placement for Full Network Observability using Tabu Search Algorithm," Electrical Power and Energy Systems, vol. 28, pp. 223-231, 2006. https://doi.org/10.1016/j.ijepes.2005.05.005
  8. Hurtgen, M. and J.-C. Maun, "Optimal PMU Placement using Iterated Local Search," Electrical Power and Energy Systems, vol. 32, pp. 857-860, 2010. https://doi.org/10.1016/j.ijepes.2010.01.028
  9. Puri, K. and D.G.S. Brar, "Optimal Placement of Phasor Measurement Units for Power System Obserbability Using A Hybrid of Genetic and Cuckoosearch (CS-GA) Algorithms," International Journal of Science and Research, vol. 4, no. 6, pp. 1006-1013, 2015.
  10. Ahmadi, A., Y. Alinejad-Beromi, and M. Moradi, "Optimal PMU Placement for Power System Observability using Binary Particle Swarm Optimization and Considering Measurement Redundancy," Expert Systems with Applications, vol. 38, pp. 7263-7269, 2011. https://doi.org/10.1016/j.eswa.2010.12.025
  11. Mahaei, S. M. and M.T. Hagh, "Minimizing the Number of PMUs and Their Optimal Placement in Power Systems," Electric Power Systems Research, vol. 83, pp. 66-72, 2012. https://doi.org/10.1016/j.epsr.2011.09.010
  12. Dalali, M. and H.K. Karegar, "Optimal PMU Placement for Full Observability of the Power Network with Maximum Redundancy using Modified Binary Cuckoo Optimisation Algorithm," IET Generation, Transmission & Distribution, vol. 10, no. 11, pp. 2817-2824, 2016. https://doi.org/10.1049/iet-gtd.2016.0287
  13. Gholiha, M.M. and R. Noorozian, "New Method Based on Branch for Optimal Placement of PMU using Harmony Search Algorithm," Majlesi Journal of Energy Management, vol. 3, no. 2, pp. 11-17, 2014.
  14. Aghaei, J., et al., "Multi-objective Phasor Measurement Unit Placement in Electric Power Networks: Integer Linear Programming Formulation," Electric Power Components & Systems, vol. 43, no. 17, pp. 1902-1911, 2015. https://doi.org/10.1080/15325008.2015.1068886
  15. Mousavian, S. and M.J. Feizollahi, "An Investment Decision Model for the Optimal Placement of Phasor Measurement Units," Expert Systems with Applications, vol. 42, no. 21, pp. 7276-7284, 2015. https://doi.org/10.1016/j.eswa.2015.05.041
  16. Abiri, E., F. Rashidi, and T. Niknam, "An Optimal PMU Placement Method for Power System Observability under Various Contingencies," International transactions on electrical energy systems, vol. 25, pp. 589-606, 2015. https://doi.org/10.1002/etep.1848
  17. Vedik, B. and A.K. Chandel, "Optimal PMU Placement for Power System Observability using Taguchi Binary Bat Algorithm," Measurement, vol. 95, pp. 8-20, 2016.
  18. Xu, S., et al. "Vulnerability Assessment of Power Grid Based on Complex Network Theory," in Proceedings of the Asia-Pacific Power and Energy Engineering Conference (APPEEC'09), 2009.
  19. Freeman, L.C., "A set of Measures of Centrality Based on Betweenness," Sociametry, vol. 40, no. 1, pp. 35-41, 1977. https://doi.org/10.2307/3033543
  20. Wang, Z., A. Scaglione, and R.J. Thomas, "Electrical Centrality Measures for Power Grids, in Control and Optimization Methods for Electric Smart Grids," M.D.I.c. A. Chakrabortty, Editor. 2012, Springer. pp. 239-255.
  21. Gutierrez, F., et al., "Vulneriability Analysis of Power Grids Using Modified Centrality Measures," Discrete Dynamics in Nature and Society, pp. 1-11, 2013.
  22. Zio, E. and L.R. Golea, "Analyzing the Topological, Electrical and Reliability Characteristics of a Power Transmission System for Identifying its Critical Elements," Reliability Engineering and System Safety, vol. 101, pp. 67-74, 2012. https://doi.org/10.1016/j.ress.2011.11.009
  23. Chen, X., et al., "Identification of Vulnerable Lines in Power Grid Based on Complex Network Theory," in International Conference on Mechatronic Science, Electric Engineering and Computer (MEC), 2011, pp. 118 - 121.
  24. Mahari, A. and H. Seyedi, "Optimal PMU Placement for Power System Observability using BICA, Considering Measurement Redundancy," Electric Power Systems Research, vol. 103, pp. 78-85, 2013. https://doi.org/10.1016/j.epsr.2013.04.013
  25. Hajian, M., et al., "Optimal Placement of PMUs to Maintain Network Observability using a Modified BPSO Algorithm," Electrical Power and Energy Systems, vol. 33, pp. 28-34, 2011. https://doi.org/10.1016/j.ijepes.2010.08.007
  26. Babu, R. and B. Bhattacharyya, "Optimal Allocation of Phasor Measurement Unit for Full Observability of the Connected Power Network," Electrical Power and Energy Systems, vol. 79, pp. 89-97, 2016. https://doi.org/10.1016/j.ijepes.2016.01.011
  27. Miljanic, Z., I. Djurovic, and I. Vujosevic, "Optimal Placement of PMUs with Limited Number of Channels," Electric Power Systems Research, vol. 90, pp. 93-98, 2012. https://doi.org/10.1016/j.epsr.2012.04.010
  28. Flament and Claude, "Applications of Graph Theory to Group Structure," N.J. Englewood Cliffs Editor, Prentice Hall, 1963.
  29. http://www.ee.washington.edu/research/pstca. [cited 2016 May 12].