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Multi-objective optimization of cascaded packed bed thermal energy storage unit based on response surface and factor analysis methods

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  • Chen, Chengxu
  • Du, Xiaoze
  • Yang, Lizhong
  • Romagnoli, Alessandro

Abstract

The cascaded multi-layer packed bed thermal energy storage (TES) unit with varying fill ratios is proposed to enhance its thermal performance. A concentric dispersion model for simulating thermal fluid heat transfer is developed and experimentally validated. Based on this, four designs are explored to examine the effect of the filling ratio of phase change materials with different melting points on the thermal performance of the packed bed TES system, including that of balanced-layer, top-heavy-layer, middle-heavy-layer and bottom-heavy-layer. The multi-factor and multi-objective optimization is conducted by response surface and factor analysis methods. Differs from the previous studies that only designed several configurations with different phase change material filling ratios, the present sudy focuses on the interaction between the filling ratio and the thermal performances, as well as the optimal filling ratio of each layer to achieve the best thermal performance. The results show that the bottom-heavy-layer has the shortest charging time of 950 min and the highest energy utilization of 61.72 %, while the top-heavy-layer has the highest charging exergy efficiency of 84.7 % and the largest TES capacity of 96.88 MWh. As for the multi-objective optimization, the optimized value of comprehensive evaluation indicator F is 1.7112, and the corresponding charging time, energy utilization, TES capacity, and charging exergy efficiency is 778 min, 0.62, 99.76 MWh, and 0.83, respectively. This research establishes a foundation for the advanced optimization of phase change material filling ratios and comprehensive system-level evaluation.

Suggested Citation

  • Chen, Chengxu & Du, Xiaoze & Yang, Lizhong & Romagnoli, Alessandro, 2025. "Multi-objective optimization of cascaded packed bed thermal energy storage unit based on response surface and factor analysis methods," Applied Energy, Elsevier, vol. 386(C).
    • Handle: RePEc:eee:appene:v:386:y:2025:i:c:s0306261925003289
    DOI: 10.1016/j.apenergy.2025.125598
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    References listed on IDEAS

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    1. Leśko, Michał & Bujalski, Wojciech & Futyma, Kamil, 2018. "Operational optimization in district heating systems with the use of thermal energy storage," Energy, Elsevier, vol. 165(PA), pages 902-915.
    2. Mao, Qianjun & Cao, Wenlong, 2023. "Effect of variable capsule size on energy storage performances in a high-temperature three-layered packed bed system," Energy, Elsevier, vol. 273(C).
    3. ELSihy, ELSaeed Saad & Mokhtar, Omar & Xu, Chao & Du, Xiaoze & Adel, Mohamed, 2023. "Cyclic performance characterization of a high-temperature thermal energy storage system packed with rock/slag pebbles granules combined with encapsulated phase change materials," Applied Energy, Elsevier, vol. 331(C).
    4. ELSihy, ELSaeed Saad & Xu, Chao & Du, Xiaoze, 2022. "Cyclic performance of cascaded latent heat thermocline energy storage systems for high-temperature applications," Energy, Elsevier, vol. 239(PC).
    5. Fan, Yubin & Zhang, Chunwei & Jiang, Long & Zhang, Xuejun & Qiu, Limin, 2022. "Exploration on two-stage latent thermal energy storage for heat recovery in cryogenic air separation purification system," Energy, Elsevier, vol. 239(PB).
    6. Shao, Y.L. & Soh, K.Y. & Islam, M.R. & Chua, K.J., 2023. "Thermal, exergy and economic analysis of a cascaded packed-bed tank with multiple phase change materials for district cooling system," Energy, Elsevier, vol. 268(C).
    7. Zhao, Bing-chen & Cheng, Mao-song & Liu, Chang & Dai, Zhi-min, 2016. "Thermal performance and cost analysis of a multi-layered solid-PCM thermocline thermal energy storage for CSP tower plants," Applied Energy, Elsevier, vol. 178(C), pages 784-799.
    8. Elfeky, K.E. & Mohammed, A.G. & Ahmed, N. & Lu, Lin & Wang, Qiuwang, 2020. "Thermal and economic evaluation of phase change material volume fraction for thermocline tank used in concentrating solar power plants," Applied Energy, Elsevier, vol. 267(C).
    9. Elfeky, K.E. & Li, Xinyi & Ahmed, N. & Lu, Lin & Wang, Qiuwang, 2019. "Optimization of thermal performance in thermocline tank thermal energy storage system with the multilayered PCM(s) for CSP tower plants," Applied Energy, Elsevier, vol. 243(C), pages 175-190.
    10. ELSihy, ELSaeed Saad & Cai, Changrui & Li, Zhenpeng & Du, Xiaoze & Wang, Zuyuan, 2024. "Performance investigation on the cascaded packed bed thermal energy storage system with encapsulated nano-enhanced phase change materials for high-temperature applications," Energy, Elsevier, vol. 293(C).
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