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Optimization of Electric Transformer Operation Through Load Estimation Based on the K-Means Algorithm

Author

Listed:
  • Pedro Torres-Bermeo

    (Centro de Investigación MIST, Facultad de Ingenierías, Universidad Tecnológica Indoamérica, Ambato 180103, Ecuador)

  • José Varela-Aldás

    (Centro de Investigación MIST, Facultad de Ingenierías, Universidad Tecnológica Indoamérica, Ambato 180103, Ecuador)

  • Kevin López-Eugenio

    (Centro de Investigación MIST, Facultad de Ingenierías, Universidad Tecnológica Indoamérica, Ambato 180103, Ecuador)

  • Nancy Velasco

    (Facultad de Informática y Electrónica, Escuela Superior Politécnica de Chimborazo (ESPOCH), Riobamba 060155, Ecuador)

  • Guillermo Palacios-Navarro

    (Department of Electronic Engineering and Communications, University of Zaragoza, 44003 Teruel, Spain)

Abstract

This study presents an innovative methodology to optimize the operation of distribution transformers through the estimation of hourly load curves, aimed at minimizing technical losses due to oversizing, particularly in systems lacking advanced metering infrastructure. The proposed approach combines clustering techniques, K-Means with DTW, to identify representative daily consumption patterns and a supervised model based on LightGBM to estimate hourly load curves for unmetered transformers, using customer characteristics as input. These estimated curves are integrated into a process that calculates technical losses, both no-load and load losses, for different transformer sizes, selecting the optimal rating that minimizes losses without compromising demand. Empirical validation showed accuracy levels of 95.6%, 95.29%, and 98.14% at an individual transformer, feeder, and a complete electrical system with 16,864 transformers, respectively. The application of the methodology to a real distribution system revealed a potential annual energy savings of 3004 MWh, equivalent to an estimated economic reduction of 150,238 USD.

Suggested Citation

  • Pedro Torres-Bermeo & José Varela-Aldás & Kevin López-Eugenio & Nancy Velasco & Guillermo Palacios-Navarro, 2025. "Optimization of Electric Transformer Operation Through Load Estimation Based on the K-Means Algorithm," Energies, MDPI, vol. 18(14), pages 1-23, July.
  • Handle: RePEc:gam:jeners:v:18:y:2025:i:14:p:3755-:d:1702318
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    References listed on IDEAS

    as
    1. Ayman Agha & Hani Attar & Ashish Kr. Luhach, 2021. "Optimized Economic Loading of Distribution Transformers Using Minimum Energy Loss Computing," Mathematical Problems in Engineering, Hindawi, vol. 2021, pages 1-9, December.
    2. Zikuo Dai & Kejian Shi & Yidong Zhu & Xinyu Zhang & Yanhong Luo, 2023. "Intelligent Prediction of Transformer Loss for Low Voltage Recovery in Distribution Network with Unbalanced Load," Energies, MDPI, vol. 16(11), pages 1-19, May.
    3. Pedro Torres-Bermeo & Kevin López-Eugenio & Carolina Del-Valle-Soto & Guillermo Palacios-Navarro & José Varela-Aldás, 2025. "Sizing and Characterization of Load Curves of Distribution Transformers Using Clustering and Predictive Machine Learning Models," Energies, MDPI, vol. 18(7), pages 1-24, April.
    4. Tomasz Piotrowski & Dorota Markowska, 2025. "Carbon Footprint of Power Transformers Evaluated Through Life Cycle Analysis," Energies, MDPI, vol. 18(6), pages 1-20, March.
    5. Mantas Plienis & Tomas Deveikis & Audrius Jonaitis & Saulius Gudžius & Inga Konstantinavičiūtė & Donata Putnaitė, 2023. "Improved Methodology for Power Transformer Loss Evaluation: Algorithm Refinement and Resonance Risk Analysis," Energies, MDPI, vol. 16(23), pages 1-16, November.
    6. Karla Schröder & Gonzalo Farias & Sebastián Dormido-Canto & Ernesto Fabregas, 2024. "Comparative Analysis of Deep Learning Methods for Fault Avoidance and Predicting Demand in Electrical Distribution," Energies, MDPI, vol. 17(11), pages 1-13, June.
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