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Probabilistic Demand Forecasting in the Southeast Region of the Mexican Power System Using Machine Learning Methods

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  • Ivan Itai Bernal Lara

    (Instituto Politécnico Nacional, Escuela Superior de Ingeniería Mecánica y Eléctrica, Av. Luis Enrique Erro s/n, Ciudad de México 07738, Mexico)

  • Roberto Jair Lorenzo Diaz

    (Instituto Politécnico Nacional, Escuela Superior de Ingeniería Mecánica y Eléctrica, Av. Luis Enrique Erro s/n, Ciudad de México 07738, Mexico)

  • María de los Ángeles Sánchez Galván

    (Instituto Politécnico Nacional, Escuela Superior de Ingeniería Mecánica y Eléctrica, Av. Luis Enrique Erro s/n, Ciudad de México 07738, Mexico)

  • Jaime Robles García

    (Instituto Politécnico Nacional, Escuela Superior de Ingeniería Mecánica y Eléctrica, Av. Luis Enrique Erro s/n, Ciudad de México 07738, Mexico)

  • Mohamed Badaoui

    (Instituto Politécnico Nacional, Escuela Superior de Ingeniería Mecánica y Eléctrica, Av. Luis Enrique Erro s/n, Ciudad de México 07738, Mexico)

  • David Romero Romero

    (Instituto Politécnico Nacional, Escuela Superior de Ingeniería Mecánica y Eléctrica, Av. Luis Enrique Erro s/n, Ciudad de México 07738, Mexico)

  • Rodolfo Alfonso Moreno Flores

    (Instituto Politécnico Nacional, Escuela Superior de Ingeniería Mecánica y Eléctrica, Av. Luis Enrique Erro s/n, Ciudad de México 07738, Mexico)

Abstract

This paper focuses on electricity demand forecasting and its uncertainty representation using a hybrid machine learning (ML) model in the eastern control area of southeastern Mexico. In this case, different sources of uncertainty are integrated by applying the Bootstrap method, which adds the characteristics of stochastic noise, resulting in a hybrid probabilistic and ML model in the form of a time series. The proposed methodology addresses a function density probability, which is the generalized of extreme values obtained from the errors of the ML model; however, it is adaptable and independent and simulates the variability that may arise due to unforeseen events. Results indicate that for a five-day forecast using only demand data, the proposed model achieves a Mean Absolute Percentage Error (MAPE) of 4.358%; however, incorporating temperature increases the MAPE to 5.123% due to growing uncertainty. In contrast, a day-ahead forecast, including temperature, improves accuracy, reducing MAPE to 1.644%. The stochastic noise component enhances probabilistic modeling, yielding a MAPE of 3.042% with and 2.073% without temperature in five-day forecasts. Therefore, the proposed model proves useful for regions with high demand variability, such as southeastern Mexico, while maintaining accuracy over longer time horizons.

Suggested Citation

  • Ivan Itai Bernal Lara & Roberto Jair Lorenzo Diaz & María de los Ángeles Sánchez Galván & Jaime Robles García & Mohamed Badaoui & David Romero Romero & Rodolfo Alfonso Moreno Flores, 2025. "Probabilistic Demand Forecasting in the Southeast Region of the Mexican Power System Using Machine Learning Methods," Forecasting, MDPI, vol. 7(3), pages 1-16, July.
  • Handle: RePEc:gam:jforec:v:7:y:2025:i:3:p:39-:d:1705034
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    References listed on IDEAS

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    1. Daniel Manfre Jaimes & Manuel Zamudio López & Hamidreza Zareipour & Mike Quashie, 2023. "A Hybrid Model for Multi-Day-Ahead Electricity Price Forecasting considering Price Spikes," Forecasting, MDPI, vol. 5(3), pages 1-23, July.
    2. Hany Habbak & Mohamed Mahmoud & Khaled Metwally & Mostafa M. Fouda & Mohamed I. Ibrahem, 2023. "Load Forecasting Techniques and Their Applications in Smart Grids," Energies, MDPI, vol. 16(3), pages 1-33, February.
    3. Keisuke Hirano & Jonathan H. Wright, 2017. "Forecasting With Model Uncertainty: Representations and Risk Reduction," Econometrica, Econometric Society, vol. 85, pages 617-643, March.
    4. Tawsif Ahmad & Ning Zhou & Ziang Zhang & Wenyuan Tang, 2024. "Enhancing Probabilistic Solar PV Forecasting: Integrating the NB-DST Method with Deterministic Models," Energies, MDPI, vol. 17(10), pages 1-19, May.
    5. Dietrich, Bastian & Walther, Jessica & Weigold, Matthias & Abele, Eberhard, 2020. "Machine learning based very short term load forecasting of machine tools," Applied Energy, Elsevier, vol. 276(C).
    6. Lyne Imene Souadda & Ahmed Rami Halitim & Billel Benilles & José Manuel Oliveira & Patrícia Ramos, 2025. "Optimizing Credit Risk Prediction for Peer-to-Peer Lending Using Machine Learning," Forecasting, MDPI, vol. 7(3), pages 1-31, June.
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    Cited by:

    1. Anna Zielińska & Rafał Jankowski, 2025. "Forecasting Installation Demand Using Machine Learning: Evidence from a Large PV Installer in Poland," Energies, MDPI, vol. 18(18), pages 1-30, September.

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