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Application of differential evolution-based constrained optimization methods to district energy optimization and comparison with dynamic programming

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  • Ikeda, Shintaro
  • Ooka, Ryozo

Abstract

Metaheuristic optimization methods, as model-free approaches, are expected to be applicable to practical issues (e.g., engineering problems). Although optimization methods have been proposed or improved through many different theoretical studies, they should be tested using not only certain benchmark functions, but also other models representing practical situations, such as those involving discrete control variables and equality or inequality constraints. Hence, in this study, differential evolution based constrained optimization methods were applied to district energy optimization. To obtain theoretical results, several different types of proposed methods were compared with dynamic programming and genetic algorithm. In addition, a parametric study was conducted to evaluate the effects of the population size, mutation rate, and random jumping rate. The proposed method, namely, ε-constrained differential evolution with random jumping II, proved capable of producing results that differ from the theoretical results by only 2.1% within a computation time 1/457 of that required by dynamic programming. In addition, the method was superior to genetic algorithm which had been often adopted as a metaheuristic method in engineering problems because the result of the proposed method was 460,417 yen/day and that of genetic algorithm was 660,424 yen/day. Therefore, the proposed method has high potential to provide comprehensive district energy optimization within a realistic computational time.

Suggested Citation

  • Ikeda, Shintaro & Ooka, Ryozo, 2019. "Application of differential evolution-based constrained optimization methods to district energy optimization and comparison with dynamic programming," Applied Energy, Elsevier, vol. 254(C).
    • Handle: RePEc:eee:appene:v:254:y:2019:i:c:s0306261919313571
    DOI: 10.1016/j.apenergy.2019.113670
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    References listed on IDEAS

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    2. Gjorgievski, Vladimir Z. & Cundeva, Snezana & Georghiou, George E., 2021. "Social arrangements, technical designs and impacts of energy communities: A review," Renewable Energy, Elsevier, vol. 169(C), pages 1138-1156.
    3. Golmohamadi, Hessam & Larsen, Kim Guldstrand & Jensen, Peter Gjøl & Hasrat, Imran Riaz, 2022. "Integration of flexibility potentials of district heating systems into electricity markets: A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 159(C).
    4. Muhammad Shahzad Nazir & Zhang Chu & Ahmad N. Abdalla & Hong Ki An & Sayed M. Eldin & Ahmed Sayed M. Metwally & Patrizia Bocchetta & Muhammad Sufyan Javed, 2022. "Study of an Optimized Micro-Grid’s Operation with Electrical Vehicle-Based Hybridized Sustainable Algorithm," Sustainability, MDPI, vol. 14(23), pages 1-18, December.

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