Optimal PMU placement considering topology constraints |
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| Affiliation: | 1. Electrical Engineering Department, Faculty of Engineering, Menoufiya University, Shebin El-Kom 32511, Egypt;2. Electrical Engineering Department, Faculty of Engineering, Kafrelsheikh University, Kafrelsheikh 33511, Egypt;1. Faculty of Electrical and Computer Engineering, University of Birjand, Birjand, Iran;2. Department of Electrical and Computer Engineering, Texas A&M University, USA;3. Department of Electrical and Electronics Engineering, Shiraz University of Technology, Shiraz, Iran;4. Department of Electrical, Electronic, and Information Engineering, University of Bolonga, Italy;1. Department of Energy Management and Power System Operation, University of Kassel, Wilhelmshöher Allee 71 - 73, 34121 Kassel, Germany;2. Fraunhofer Institute for Wind Energy and Energy System Technology, Königstor 59, 34119 Kassel, Germany;1. Department of Electrical Engineering, West Tehran Branch, Islamic Azad University, Tehran, Iran;2. Electrical and Computer Engineering Department, Semnan University, Semnan, Iran;1. School of Business, Clarkson University, Potsdam, NY 13699, USA;2. Department of Industrial and Systems Engineering, Auburn University, Auburn, AL 36849, USA;3. Argonne National Laboratory, Argonne, IL 60439, USA |
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| Abstract: | A new optimization algorithm for optimal PMU configuration based on combination of graph theory and genetic algorithm is proposed. According to four topology reconstruction rules and three PMU configuration rules based on the graphic relationships between PMUs, constraints of PMU placement are put forward through topology constraint analysis, which dramatically limits the feasible solution space, thereby enhancing the algorithm speed. Meanwhile, an improved genetic algorithm based on serial number coding is presented to avoid infeasible solutions and improve the overall optimization performance. New corresponding crossover and mutation operator is also created. Examples show that the proposed algorithm performs very well and is highly valuable to large-scale networks. |
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| Keywords: | Genetic algorithm PMU configuration Serial number coding Topology constraints |
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