A recursive power flow method for radial distribution networks: Analysis,solvability and convergence |
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| Affiliation: | 1. Department of Electrical Engineering, Lorestan University, Khorramabad, Iran;2. Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran;3. Lorestan Electrical Power Distribution Company, Khorramabad, Iran;1. Zhijiang College, Zhejiang University of Technology, Hangzhou 310024, PR China;2. Research Group for Advanced Materials & Sustainable Catalysis (AMSC), College of Chemical Engineering, Zhejiang University of Technology, Hangzhou 310014, PR China;3. College of Biological and Environmental Engineering, Zhejiang University of Technology, Hangzhou 310014, PR China;4. Institute for Agriculture and the Environment, University of Southern Queensland, Toowoomba, Queensland 4350, Australia;1. Politecnico di Bari, Department of Electrical Engineering, via Orabona 4, 70123 Bari, Italy;2. University of Sannio, Department of Engineering, Piazza Roma 21, 82100 Benevento, Italy;1. University of Belgrade, Faculty of Civil Engineering-Department for Hydraulic and Environmental Engineering, 11000 Belgrade, Serbia;2. University of Exeter, College of Engineering, Mathematics and Physical Sciences, Centre for Water Systems, Exeter, UK |
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| Abstract: | A new Recursive Power Flow (RPF) algorithm for balanced/unbalanced radial distribution systems is proposed in this paper. Four generalized constant matrixes, that are calculated based on the graph theory, are used to obtain the power flow solution. These matrixes completely describe topology of a distribution system and models of its elements. In this method, each branch of a distribution system is considered as a bipolar. The method is able to consider detailed model of the elements. Solvability and convergence properties of the method have been mathematically presented. The method has been studied on the standard 16, 33 and 69-bus balanced distribution systems. In addition, this method is tested on 4 and 13-bus unbalanced standard distribution systems. Also, the method is tested on a 1337-bus real distribution system in Lorestan Electrical Power Distribution Company, Iran. The simulation results demonstrate the accuracy, computational efficiency and robustness of the proposed method. |
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| Keywords: | Load flow Graph theory Power distribution systems Convergence |
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