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A two phase approach for the bi-objective non-convex combined heat and power production planning problem

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  • Rong, Aiying
  • Figueira, José Rui
  • Lahdelma, Risto

Abstract

In this paper, we deal with the bi-objective non-convex combined heat and power (CHP) planning problem. A medium and long term planning problem decomposes into thousands of single period (hourly) subproblems and dynamic constraints can usually be ignored in this context. The hourly subproblem can be formulated as a mixed integer linear programming (MILP) model. First, an efficient two phase approach for constructing the Pareto Frontier (PF) of the hourly subproblem is presented. Then a merging algorithm is developed to approximate the PF for the multi-period planning problem. Numerical results with real CHP plants demonstrate the effectiveness and efficiency of the solution approach using the Cplex based ɛ-constraint method as benchmark.

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  • Rong, Aiying & Figueira, José Rui & Lahdelma, Risto, 2015. "A two phase approach for the bi-objective non-convex combined heat and power production planning problem," European Journal of Operational Research, Elsevier, vol. 245(1), pages 296-308.
    • Handle: RePEc:eee:ejores:v:245:y:2015:i:1:p:296-308
    DOI: 10.1016/j.ejor.2015.02.037
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    Cited by:

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    5. Abdollahi, Elnaz & Lahdelma, Risto, 2020. "Decomposition method for optimizing long-term multi-area energy production with heat and power storages," Applied Energy, Elsevier, vol. 260(C).
    6. Zakeri, Behnam & Virasjoki, Vilma & Syri, Sanna & Connolly, David & Mathiesen, Brian V. & Welsch, Manuel, 2016. "Impact of Germany's energy transition on the Nordic power market – A market-based multi-region energy system model," Energy, Elsevier, vol. 115(P3), pages 1640-1662.
    7. Kumbartzky, Nadine & Schacht, Matthias & Schulz, Katrin & Werners, Brigitte, 2017. "Optimal operation of a CHP plant participating in the German electricity balancing and day-ahead spot market," European Journal of Operational Research, Elsevier, vol. 261(1), pages 390-404.
    8. Wang, Jiawei & You, Shi & Zong, Yi & Cai, Hanmin & Træholt, Chresten & Dong, Zhao Yang, 2019. "Investigation of real-time flexibility of combined heat and power plants in district heating applications," Applied Energy, Elsevier, vol. 237(C), pages 196-209.
    9. Daniel Jornada & V. Jorge Leon, 2020. "Filtering Algorithms for Biobjective Mixed Binary Linear Optimization Problems with a Multiple-Choice Constraint," INFORMS Journal on Computing, INFORMS, vol. 32(1), pages 57-73, January.

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