Optimal PMUs Placement Due to Several Stages for Achieving Full System Observability

Mohamed Badr, Ahmed Hossam-Eldin, Nabil Abassy


The new measurement devices such as phasor measurement units (PMUs), is considered to be an essential component in implementing future power network systems. The problem of optimal placement of PMUs (OPP) requires finding a minimum numbers of PMUs that must be installed to provide full system observability. Due to the large number of the PMUs required and their relatively high cost, it is important to partition the installation of PMUs placement into several stages to overcome this problem. A new proposal depends on limiting the number of installed PMUs at each stage and maximizing system observability will be illustrated in this paper. The proposed method will be implemented on IEEE-14 bus system and IEEE-30 bus system.


phasor measurement units ; Observability; optimal placement

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Bei Xu, Ali Abur “Optimal Placement of Phasor Measurement Units for State Estimation” Texas A & M University. Power Systems Engineering Research Center Publication, Pp.1-14. October 2005.

Bei Gou “Generalized integer linear programming formulation for optimal PMU placement” IEEE Transactions on Power Systems, Volume 23, Issue3, Pp.1099 – 1104, Aug. 2008.

Gomathi Venugopal, Ramachandran. Veilumuth, and Chellammal. Arumugam “Optimal Location of PMUs for complete observability of Power system sub-network” ACEEE International Journal on Control System and Instrumentation, Vol. 1, No. 1, July 2010.

Ranjana Sodhi, and S.C.Srivastava “Optimal PMUs Placement to Ensure Observability of Power System”. Fifteenth National Power Systems Conference (NPSC), IIT Bombay, December 2008.

B.W Kernighan and L. Lin Bell Syst “An Efficient Heuristic Procedure for Partitioning Graphs”. Bell System Technical Journal, Volume 49, Issue 2, Pp.291–307, February 1970.

I.O. Habiballah, V.H. Quintana, “Integer-Linear Programming Eigenvector-Based Approach for Multi Partitioning Power System State Estimation Networks” IEEE Proc. on Generation, Transmission & Distribution. Vol. 141, issue No. 1, Pp. 11-18, January 1994.

Aaron M. Tenenbaum, “Data Structures Using C”. Pearson Education, Prentice Hall, Facsimile edition, Pp.11-18, Dec.1991.

S.B. Yusof, G.J. Rogers, R.T.H. Alden “Slow Coherency Based Network Partitioning Including Load Buses”. IEEE Transactions On Power Systems, Vol. 8, Issue No. 3, Pp.1375-1382, August 1993.

DOI: http://dx.doi.org/10.21622/resd.2017.03.1.012


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Copyright (c) 2017 Mohamed Badr, Ahmed Hossam-Eldin, Nabil Abassy

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Renewable Energy and Sustainable Development

E-ISSN: 2356-8569

P-ISSN: 2356-8518


Published by:

Academy Publishing Center (APC)

Arab Academy for Science, Technology and Maritime Transport (AASTMT)

Alexandria, Egypt