Optimal Distribution Transformer Placement by Exploiting Graph Theory and Clustering Techniques



Clustering, graph theory, optimal placement, optimization, power distribution planning, transformers


In the expansion of power distribution networks, the periodic task of determining the location, number, and capacity of the distribution transformers is still an open issue that needs to be systematically coped with. In this paper, a comprehensive approach for solving in practice the mentioned task is presented. The proposed methodology is based on an improved clustering technique, which considers not only the actual distances between consumers but also their electrical demand. Graph theory is exploited to represent the feasible paths of the complete system, so that, the distances and the obtained locations are accurate, and feasible in practice, respectively. The proposed objective function minimizes the total annual costs of the system, by considering investments, transformer losses, and operational costs. An approximate expression to calculate the maximum distance between each transformer and its furthest customer to accomplish voltage regulation has been obtained. Consequently, the outputs of the proposed model are the correct number of distribution transformers to be installed, their optimal locations and capacities, and the best consumer grouping with acceptable voltage drops. In order to validate the proposal, this methodology is applied to an urban system with 106 consumers, 23 vertexes, and 31 streets with promising results.


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Author Biographies

Darwin E. Vincent

Darwin E. Vincent was born in Quito, Ecuador in 1992. He received his B.S. degree in electrical engineering from Escuela Politécnica Nacional, Quito, Ecuador in 2021, and is currently pursuing an M.S. degree in renewable energy at Valencian International University, Valencia, Spain.
His research interests include distribution networks, photovoltaic systems, renewable energy, and smart grids.

Paul F. Vasquez, Escuela Politécnica Nacional

Paúl F. Vásquez was born in Ecuador. He received his B.S. degree in electrical engineering from Escuela Politécnica Nacional, Quito, Ecuador, in 2002 and a Ph.D. degree in electrical engineering from Universidad Nacional de San Juan, Argentina, in 2009.
From 2007 to 2009, he was an invited Researcher at Otto-von-Guericke University Magdeburg. He was also a chapter chairman PES IEEE Ecuador from 2010 to 2012. His research interests include distribution networks, power distribution planning, pattern clustering, search problems, optimization, graph theory and evolutionary algorithms.
Since 2015, Dr. Vásquez is Professor with the Electrical Energy Department, Escuela Politécnica Nacional.
Since 2015, Dr. Vásquez is Professor with the Electrical Energy Department, Escuela Politécnica Nacional


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How to Cite

Vincent Palaguachi, D. E., & Vasquez Miranda, P. F. (2022). Optimal Distribution Transformer Placement by Exploiting Graph Theory and Clustering Techniques. IEEE Latin America Transactions, 20(8), 2096–2105. Retrieved from https://latamt.ieeer9.org/index.php/transactions/article/view/6407



Electric Energy