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Abstract
A multi-objective optimal phasor measurement unit placement model using integer linear programming is presented in this article. The proposed model simultaneously optimizes two objectives, i.e., minimization of phasor measurement unit numbers and maximization of measurement redundancy. To calculate the redundancy criteria, the single-line outage and the phasor measurement unit loss are considered simultaneously. A linear formulation is presented for both objective functions. Also herein, to address conflicting attributes and identify Pareto optimal solutions of the multi-objective optimal phasor measurement unit placement problem, a new multi-objective mathematical programming method is proposed. Finally, a new index, i.e., minimum distance to utopia point, is implemented to select the most preferred solution among the available Pareto front based options on the goal to achieve judicious decision makers. Two test systems, i.e., a modified 9-bus and an IEEE 118-bus test systems, are used to illustrate the effectiveness of the proposed framework.
Additional information
Notes on contributors
Jamshid Aghaei
Jamshid Aghaei received his B.Sc. in electrical engineering from Power and Water Institute of Technology, Tehran, Iran, in 2003 and his M.Sc. and Ph.D. from Iran University of Science and Technology, Tehran, in 2005 and 2009, respectively. He is a member of the IEEE and the Iranian Association of Electrical and Electronic Engineers. His research interests include renewable energy systems, smart grids, electricity markets, and power system operation and restructuring.
Amir Baharvandi
Amir Baharvandi received his B.Sc. from Shahid Chamran University of Avaz, Iran, in 2011 and his M.Sc. from Shiraz University of Technology, Shiraz, Iran, in 2013, both in electrical engineering. His research interests are power system operation, planning, and reliability.
Mohammad-Amin Akbari
Mohammad-Amin Akbari received his B.Sc. from Hormozgan University, Iran, in 2009 and his M.Sc. from Shiraz University of Technology, Shiraz, Iran, in 2013, both in electrical engineering. He is currently pursuing his Ph.D. at the Department of Electronics and Electrical Engineering, Shiraz University of Technology, Shiraz, Iran. His research interests are smart grids, power system operation and planning, reliability, and optimization methods.
Kashem M. Muttaqi
Kashem M. Muttaqi received his Ph.D. from Multimedia University, Malaysia, in 2001. Currently, he is an associate professor at the School of Electrical, Computer, and Telecommunications Engineering, University of Wollongong, Wollongong, Australia. He was associated with University of Tasmania, Australia, as a research fellow/lecturer/senior lecturer from 2002 to 2007 and with the Queensland University of Technology, Australia, as a research fellow from 2000 to 2002. Previously, he also worked for Multimedia University as a lecturer for 3 years. He is a senior member of IEEE. His special fields of interests include distributed generation, renewable energy, distribution system automation, and power system planning.
Mohammad-Reza Asban
Mohammad-Reza Asban received his B.Sc. from Amir-Kabir University of Technology, Iran, in 1996 and his M.Sc. from Iran University of Science and Technology, Tehran, in 1999. His research interests include power system operation and protection.
Alireza Heidari
Alireza Heidari was born in Zabol, Iran, in 1981. He received his M.Sc. degree in power engineering from Iran University of Science and Technology, Tehran, Iran, in 2006 and is currently pursuing his Ph.D. in power engineering at UNSW, Sydney, NSW, Australia. From 2006 to 2012, he was with the Faculty of Engineering, University of Zabol, Zabol, Iran. His research interests are power system operation, power system security and reliability, renewable energy resources, and application of optimization in power systems.