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Integrating machine learning and mathematical programming for efficient optimization of operating conditions in organic Rankine cycle (ORC) based combined systems

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  • Zhou, Jianzhao
  • Chu, Yin Ting
  • Ren, Jingzheng
  • Shen, Weifeng
  • He, Chang

Abstract

Operations optimization in an organic Rankine cycle (ORC) based combined system is important while computationally difficult by using mechanistic models due to complex nonlinearities and constraints. In this study, a hybrid framework integrating machine learning and mathematical programming has been proposed to optimize the operations of the system for the best exergy performance. The combined system is first decomposed into two single ORCs for reducing computational complexity. Classification models and regression models based on artificial neural network (ANN) and linear regression are developed using simulation data, where classifications can be employed for high-throughput screening feasible inputs which meet the mechanistic constraints in ORC. The results demonstrate high performances of machine learning with at least 99% accuracies for classifications and with mean relative errors of less than 1% for regressions. These data-driven models and the relation of two ORCs were then embedded with mathematical programming for optimization and maximum net exergy of 28.66 MW is obtained. By linear expansion of ReLU operators in ANN, mixed-integer linear programming (MILP) based on machine learning models achieve high efficiency with ∼0.1 s required for optimization compared to mixed-integer nonlinear programming (MINLP) (>1000 s) and heuristic optimization based on mechanistic models (>10 h).

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  • Zhou, Jianzhao & Chu, Yin Ting & Ren, Jingzheng & Shen, Weifeng & He, Chang, 2023. "Integrating machine learning and mathematical programming for efficient optimization of operating conditions in organic Rankine cycle (ORC) based combined systems," Energy, Elsevier, vol. 281(C).
    • Handle: RePEc:eee:energy:v:281:y:2023:i:c:s0360544223016122
    DOI: 10.1016/j.energy.2023.128218
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    Cited by:

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    2. Wu, Xialai & Lin, Ling & Xie, Lei & Chen, Junghui & Shan, Lu, 2024. "Fast robust optimization of ORC based on an artificial neural network for waste heat recovery," Energy, Elsevier, vol. 301(C).
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    4. Lu, Shengdong & Yang, Xinle & Bu, Shujuan & Li, Weikang & Yu, Ning & Wang, Xin & Dai, Wenzhi & Liu, Xunan, 2024. "Performance and parameter prediction of SCR–ORC system based on data–model fusion and twin data–driven," Energy, Elsevier, vol. 290(C).
    5. Forootan, Mohammad Mahdi & Ahmadi, Abolfazl, 2024. "Machine learning-based optimization and 4E analysis of renewable-based polygeneration system by integration of GT-SRC-ORC-SOFC-PEME-MED-RO using multi-objective grey wolf optimization algorithm and ne," Renewable and Sustainable Energy Reviews, Elsevier, vol. 200(C).
    6. Lu, Pei & Chen, Kaihuang & Luo, Xianglong & Wu, Wei & Liang, Yingzong & Chen, Jianyong & Chen, Ying, 2024. "Experimental and simulation study on a zeotropic ORC system using R1234ze(E)/R245fa as working fluid," Energy, Elsevier, vol. 292(C).
    7. Zhou, Jun & He, Ying & Chen, Yulin & Zhou, Liuling & Liu, Shitao & Li, Hanghang & Liang, Guangchuan, 2024. "A novel optimization model for tackling capacity challenges in natural gas gathering systems," Energy, Elsevier, vol. 305(C).

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