Optimal placement of phasor measurement units using topology transformation method based on Grey Wolf optimization approach

Authors

  • Ridha Djamel Mohammedi
  • Djamal Gozim
  • Abdelkader Azzeddine Laouid
  • Mohamed Elbar

DOI:

https://doi.org/10.54021/seesv5n1-008

Keywords:

Grey Wolf Optimization (GWO), Phasor Measurement Units (PMUs), topology transformation method, Zero Injection Bus (ZIB)

Abstract

The optimal placement of phasor measurement units (PMUs) requires minimizing both the number of PMUs required and ensure that the whole power system is totally observable. To identify a power system as observable, it is necessary to know the voltages of all the buses in the power system. This paper suggests rules of selection for the topology transformation method, which implies a process of merging a zero injection bus and one of its neighboring buses. The selection of a bus chosen to merge with a zero injection bus will affect the result of the merging process. To determine the most appropriate bus to merge with the zero injection bus, the proposed method will use four rules designed to determine the minimum number of PMUs required to achieve full observability of the power system. The problem is formulated and solved by a grey wolf optimization (GWO) approach. The suggested GWO has been applied to the IEEE 14-bus, 24-bus, and New England 39-bus.

References

Abd Rahman, Hanis Nadia.''Optimal allocation of phasor measurement units using practical constraints in power systems'', Phd Thesis, Brunel University London, 2017.

Laouid, Abdelkader Azzeddine, Mohamed Mounir Rezaoui, Abdellah Kouzou,Ridha Djamel Mohammedi. ''Optimal PMUs Placement Using Hybrid PSO-GSA Algorithm;''. in: 4th International Conference on Power Electronics and their Applications (ICPEA), 2019. DOI: https://doi.org/10.1109/ICPEA1.2019.8911178

Almasabi, Saleh,Joydeep Mitra. ''Multistage optimal PMU placement considering substation infrastructure'', IEEE Transactions on Industry Applications, 54(6): pp. 6519-6528, 2018. DOI: https://doi.org/10.1109/TIA.2018.2862401

Gou, Bei. ''Optimal placement of PMUs by integer linear programming'', IEEE Transactions on power systems, 23(3): pp. 1525-1526, 2008. DOI: https://doi.org/10.1109/TPWRS.2008.926723

Huang, Lei, Yuanzhang Sun, Jian Xu, Wenzhong Gao, Jun Zhang,Ziping Wu. ''Optimal PMU placement considering controlled islanding of power system'', IEEE Transactions on Power Systems, 29(2): pp. 742-755, 2013. DOI: https://doi.org/10.1109/TPWRS.2013.2285578

Aghaei, Jamshid, Amir Baharvandi, Mohammad-Amin Akbari, Kashem M Muttaqi, Mohammad-Reza Asban,Alireza Heidari. ''Multi-objective phasor measurement unit placement in electric power networks: Integer linear programming formulation'', Electric Power Components Systems, 43(17): pp. 1902-1911, 2015. DOI: https://doi.org/10.1080/15325008.2015.1068886

Enshaee, Ali, Rahmat Allah Hooshmand,Fariborz Haghighatdar Fesharaki. ''A new method for optimal placement of phasor measurement units to maintain full network observability under various contingencies'', Electric Power Systems Research, 89: pp. 1-10, 2012. DOI: https://doi.org/10.1016/j.epsr.2012.01.020

Jamuna, K,K. S. Swarup. ''Multi-objective biogeography based optimization for optimal PMU placement'', Applied Soft Computing, 12(5): pp. 1503-1510, 2012. DOI: https://doi.org/10.1016/j.asoc.2011.12.020

Mazhari, Seyed Mahdi, Hassan Monsef, Hamid Lesani,Alireza Fereidunian. ''A Multi-Objective PMU Placement Method Considering Measurement Redundancy and Observability Value Under Contingencies'', IEEE Transactions on Power Systems, 28(3): pp. 2136-2146, 2013. DOI: https://doi.org/10.1109/TPWRS.2012.2234147

Aghaei, Jamshid, Amir Baharvandi, Abdorreza Rabiee,Mohammad-Amin Akbari. ''Probabilistic PMU placement in electric power networks: an MILP-based multi-objective model'', IEEE Transactions on Industrial Informatics, 11(2): pp. 332-341, 2015. DOI: https://doi.org/10.1109/TII.2015.2389613

Qi, Junjian, Kai Sun,Wei Kang. ''Optimal PMU placement for power system dynamic state estimation by using empirical observability Gramian'', IEEE Transactions on power Systems, 30(4): pp. 2041-2054, 2014. DOI: https://doi.org/10.1109/TPWRS.2014.2356797

LAOUID, Abdelkader Azzeddine, Ridha Djamal MOHAMMEDI, Mohamed Mounir REZAOUI,Abdellah KOUZOU. ''Optimal PMUs Placement to ensure Power System Observability under Various Contingencies'', Electrotehnica, Electronica, Automatica, 68(1): pp. 2020.

Sadanandan Sajan, Kaduvettykunnal, Akhilesh Kumar Mishra, Vishal Kumar,Barjeev Tyagi. ''Phased optimal PMU placement based on revised analytical hierarchy process'', Electric Power Components Systems 44(9): pp. 1005-1017, 2016. DOI: https://doi.org/10.1080/15325008.2016.1147508

Maji, Tapas Kumar,Parimal Acharjee. ''Multiple solutions of optimal PMU placement using exponential binary PSO algorithm for smart grid applications'', IEEE Transactions on Industry Applications, 53(3): pp. 2550-2559, 2017. DOI: https://doi.org/10.1109/TIA.2017.2666091

Pal, Anamitra, Anil Kumar S Vullikanti, S S Ravi. ''A PMU placement scheme considering realistic costs and modern trends in relaying'', IEEE Transactions on Power Systems, 32(1): pp. 552-561, 2016. DOI: https://doi.org/10.1109/TPWRS.2016.2551320

Babu, NV Phanendra, P Suresh Babu,D V S S Sivasarma. ''Binary cuckoo search based optimal PMU placement scheme for united Indian grid-A case study'', International Journal of Engineering, Science Technology, 10(2): pp. 10-24, 2018. DOI: https://doi.org/10.4314/ijest.v10i2.2

Babu, Rohit,Biplab Bhattacharyya. ''An Approach for Optimal Placement of Phasor Measurement Unit for Power Network Observability Considering Various Contingencies'', Iranian Journal of Science Technology, Transactions of Electrical Engineering, 42(2): pp. 161-183, 2018. DOI: https://doi.org/10.1007/s40998-018-0063-7

Biswal, Arvind,HD Mathur. ''Optimized PMU Stationing For Wide Area Monitoring Of Power Grid'', Procedia Technology, 21: pp. 2-7, 2015. DOI: https://doi.org/10.1016/j.protcy.2015.10.002

Deshmukh, Puja V.,P.P. Bedekar. ''Optimal PMU Placement Using Binary Integer Programming'', International Journal of Innovative Research in Science, Engineering and Technology, 6(1): pp. 340-349, 2017.

Kaur, Ketanpreet. ''A Literature Review on Minimizing the Number of Phasor Measurement Units (PMUs) and their Optimal Placement in Power Systems'', International Journal of Advanced Research in Computer Science, 8(5): pp. 2731-2735, 2017.

Chouhan, Dolly,Varsha Jaiswal. ''A Literature Review on Optimal Placement of PMU and Voltage Stability'', Indian Journal of Science and Technology, 47(9): pp. 1-7, 2016. DOI: https://doi.org/10.17485/ijst/2016/v9i47/101724

Almehizia, Abdullah. A.,Fahad. S. Alismail, Power System State Estimation Accuracy and Observability Evaluation with Optimal PMU Placement. 2017, IEEE. DOI: https://doi.org/10.1109/TPEC.2017.7868263

Mirjalili, Seyedali, Seyed Mohammad Mirjalili,Andrew Lewis. ''Grey wolf optimizer'', Advances in engineering software, 69: pp. 46-61, 2014. DOI: https://doi.org/10.1016/j.advengsoft.2013.12.007

Mech, L David ''Alpha status, dominance, and division of labor in wolf packs'', Canadian Journal of Zoology, 77(8): pp. 1196-1203, 1999. DOI: https://doi.org/10.1139/z99-099

R. D. Mohammedi, A. Kouzou, M. Mosbah, A. Souli, J. Rodriguez, and M. Abdelrahem, "Allocation and Sizing of DSTATCOM with Renewable Energy Systems and Load Uncertainty Using Enhanced Gray Wolf Optimization," Applied Sciences, vol. 14, no. 2, p. 556, 2024. DOI: https://doi.org/10.3390/app14020556

Sharma, Charu,Barjeev Tyagi. ''An approach for optimal PMU placement using binary particle swarm optimization with conventional measurements'', International Journal of Engineering, Science and Technology, 3(3): pp. 2011. DOI: https://doi.org/10.4314/ijest.v3i3.68422

Laouid, Azzeddine Abdelkader, Ridh Djamel Mohammedi, Abdellah Kouzou,Mohamed Mounir Rezaoui. ''Optimal PMU Placement in Power System Based on Multi-objective Particle Swarm Optimization;''. in: 15th International Multi-Conference on Systems, Signals & Devices (SSD), 2018.

Korres, George N, Johan Löfberg, Nikolaos M Manousakis,Themistoklis C Xygkis. ''Optimal phasor measurement unit placement for numerical observability in the presence of conventional measurements using semi-definite programming'', IET Generation, Transmission & Distribution, 9(15): pp. 2427-2436, 2015. DOI: https://doi.org/10.1049/iet-gtd.2015.0662

Roy, BK Saha, AK Sinha,AK Pradhan. ''An optimal PMU placement technique for power system observability'', International Journal of Electrical Power & Energy Systems, 42(1): pp. 71-77, 2012. DOI: https://doi.org/10.1016/j.ijepes.2012.03.011

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Published

2024-01-29

How to Cite

Mohammedi, R. D., Gozim, D., Laouid, A. A., & Elbar, M. (2024). Optimal placement of phasor measurement units using topology transformation method based on Grey Wolf optimization approach . STUDIES IN ENGINEERING AND EXACT SCIENCES, 5(1), 131–150. https://doi.org/10.54021/seesv5n1-008