Scheduling optimization of combined heat and power units with multiple degrees of freedom based on the superposition principle

Aldo Bischi, Santo Lico, Tommaso Cortigiani, Giampaolo Manzolini, Paolo Silva, Emanuele Martelli

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

This work proposes a revised version of the Mixed Integer Linear Programming (MILP) model developed by the authors in [1-3] for optimizing the short-term and long-term scheduling cogeneration units’ networks. Compared to the previous model formulation, the revised version allows to save computational time and to efficiently deal with cogeneration units with more than two degrees of freedom (i.e., independent control variables). To this end, the computationally expensive n-dimensional PieceWise Linearization (PWL) of the off-design performance curves of the units is avoided by better exploiting the mathematical properties of the polynomial best-fit curves and applying the superposition principle. In the analyzed test cases with two degrees of freedom, compared to the PWL approximation used in [1-2], the saving of computational time is up to almost 90% and almost 80% in average, with the same accuracy as the PWL. Besides, the saving of computational time is expected to increase exponentially with the number of degrees of freedom. A three degrees of freedom unit test case with superposition principle has also been performed, reaching a 0.001% error, MILP-gap, in an average time of 40 seconds while preserving accuracy.

Original languageEnglish
Title of host publicationECOS 2016 - Proceedings of the 29th International Conference on Efficiency, Cost, Optimisation, Simulation and Environmental Impact of Energy Systems
EditorsAndrej Kitanovski, Alojz Poredos
PublisherUniversity of Ljubljana
ISBN (Electronic)9789616980159
Publication statusPublished - 2016
Event29th International Conference on Efficiency, Cost, Optimisation, Simulation and Environmental Impact of Energy Systems, ECOS 2016 - Portoroz, Slovenia
Duration: 19 Jun 201623 Jun 2016

Publication series

NameECOS 2016 - Proceedings of the 29th International Conference on Efficiency, Cost, Optimisation, Simulation and Environmental Impact of Energy Systems

Conference

Conference29th International Conference on Efficiency, Cost, Optimisation, Simulation and Environmental Impact of Energy Systems, ECOS 2016
Country/TerritorySlovenia
CityPortoroz
Period19/06/1623/06/16

Keywords

  • Combined
  • Heat and Power (CHP)
  • Mixed Integer Non-Linear Programming (MINLP)
  • Optimal Scheduling
  • Superposition principle

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