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Multi-Objective Optimization of Window Design for Energy and Thermal Comfort in School Buildings: A Sustainable Approach for Hot-Humid Climates

Author

Listed:
  • Tian Xia

    (Department of Architecture, Faculty of Built Environment, Universiti Malaya, Kuala Lumpur 50603, Malaysia)

  • Azlan Shah Ali

    (Department of Architecture, Faculty of Built Environment, Universiti Malaya, Kuala Lumpur 50603, Malaysia)

  • Norhayati Mahyuddin

    (Centre for Building, Construction & Tropical Architecture, Faculty of Built Environment, Universiti Malaya, Kuala Lumpur 50603, Malaysia)

Abstract

School buildings in hot-humid climates encounter considerable difficulties in balancing energy use and thermal comfort due to this environment, necessitating optimized design strategies to reduce energy consumption while enhancing occupant comfort. This study presents sustainable design strategies for educational structures in hot-humid regions, aiming to optimize energy efficiency and thermal comfort for environmental preservation and occupant welfare. The present work introduces a multi-objective optimization framework for window design in school buildings situated in hot-humid climates, targeting a balance between Energy Use Intensity (EUI) and Thermal Comfort Time Ratio (TCTR). Exploring multi-objective optimization through NSGA-II genetic algorithms, the study conducts Sobol sensitivity analysis for parameter assessment and applies Gaussian Process Regression (GPR) for effective model validation, identifying optimal window configurations that reduce energy consumption while enhancing thermal comfort. It finds that the Window-to-Wall Ratio (WWR) and Solar Heat Gain Coefficient (SHGC) are the most significant factors, with WWR and SHGC accounting for 28.1% and 23.7% of the variance in EUI and TCTR, respectively. The results reveal a non-linear trade-off between the objectives, with the Balanced Solution offering a practical compromise: a 6.7% decrease in energy use and a 14.3% enhancement in thermal comfort. The study examined various ranges of window parameters, including WWR (0.1–0.50), SC (0.20–0.80), K (1.0–2.5 W·m −2 ·K −1 ), SHGC (0.1–0.4), Shading width (0.3–2.0 m), and Shading angle (0°–90°). The recommended compromise, known as the Balanced Solution, suggests optimal values as follows: WWR = 0.40, SC = 0.30, SHGC = 0.40, K = 1.2 W·m −2 ·K −1 , Shading width = 1.22 m, and Shading angle = 28°. The GPR model exhibited high predictive precision, with R 2 values of 0.91 for EUI and 0.95 for TCTR, underscoring the framework’s effectiveness. This research offers actionable insights for designing energy-efficient and comfortable school buildings in hot-humid climates, enriching sustainable architectural design knowledge.

Suggested Citation

  • Tian Xia & Azlan Shah Ali & Norhayati Mahyuddin, 2025. "Multi-Objective Optimization of Window Design for Energy and Thermal Comfort in School Buildings: A Sustainable Approach for Hot-Humid Climates," Sustainability, MDPI, vol. 17(19), pages 1-34, September.
  • Handle: RePEc:gam:jsusta:v:17:y:2025:i:19:p:8646-:d:1758579
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    References listed on IDEAS

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    1. Sunil Kumar Sharma & Swati Mohapatra & Rakesh Chandmal Sharma & Sinem Alturjman & Chadi Altrjman & Leonardo Mostarda & Thompson Stephan, 2022. "Retrofitting Existing Buildings to Improve Energy Performance," Sustainability, MDPI, vol. 14(2), pages 1-14, January.
    2. Zheng, Shuguang & Huang, Guohe & Zhou, Xiong & Zhu, Xiaohang, 2020. "Climate-change impacts on electricity demands at a metropolitan scale: A case study of Guangzhou, China," Applied Energy, Elsevier, vol. 261(C).
    3. Li, Sihui & Li, Yonghuan & Wang, Meng & Peng, Jinqing & He, Yecong, 2025. "Optimization study of photovoltaic direct-driven air conditioning system based on occupants’ behavior and thermal comfort," Renewable Energy, Elsevier, vol. 251(C).
    4. Song, Bing & Bai, Lujian & Yang, Liu, 2022. "Analysis of the long-term effects of solar radiation on the indoor thermal comfort in office buildings," Energy, Elsevier, vol. 247(C).
    5. Alhuwayil, Waleed Khalid & Abdul Mujeebu, Muhammad & Algarny, Ali Mohammed M., 2019. "Impact of external shading strategy on energy performance of multi-story hotel building in hot-humid climate," Energy, Elsevier, vol. 169(C), pages 1166-1174.
    6. Wang, Chuyao & Yang, Hongxing & Ji, Jie, 2024. "Performance analysis of a PV/T shading device for enhancing energy saving and human comfort," Applied Energy, Elsevier, vol. 376(PA).
    7. Najwa Syahirah Mohamed Nor Izam & Zarina Itam & Wong Leong Sing & Agusril Syamsir, 2022. "Sustainable Development Perspectives of Solar Energy Technologies with Focus on Solar Photovoltaic—A Review," Energies, MDPI, vol. 15(8), pages 1-15, April.
    8. Betty Lala & Solli Murtyas & Aya Hagishima, 2022. "Indoor Thermal Comfort and Adaptive Thermal Behaviors of Students in Primary Schools Located in the Humid Subtropical Climate of India," Sustainability, MDPI, vol. 14(12), pages 1-19, June.
    9. Li, Qing & Zhang, Lianying & Zhang, Limao & Wu, Xianguo, 2021. "Optimizing energy efficiency and thermal comfort in building green retrofit," Energy, Elsevier, vol. 237(C).
    10. Amin Nouri & Christoph van Treeck & Jérôme Frisch, 2024. "Sensitivity Assessment of Building Energy Performance Simulations Using MARS Meta-Modeling in Combination with Sobol’ Method," Energies, MDPI, vol. 17(3), pages 1-24, January.
    11. Giacomo Chiesa & Andrea Acquaviva & Mario Grosso & Lorenzo Bottaccioli & Maurizio Floridia & Edoardo Pristeri & Edoardo Maria Sanna, 2019. "Parametric Optimization of Window-to-Wall Ratio for Passive Buildings Adopting A Scripting Methodology to Dynamic-Energy Simulation," Sustainability, MDPI, vol. 11(11), pages 1-30, May.
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