Including thermal network operation in the optimization of a Multi Energy System

Tesio, Umberto; Guelpa, Elisa; Verda, Vittorio

doi:10.1016/j.enconman.2023.116682

Cited by 6 publications

(2 citation statements)

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“…Ref. [26] optimizes an MES and its thermal network by decomposing the problem in two subproblems: a mixed-integer linear programming formulation optimizes the MES without considering the thermal network, and a quadratically constrained programming formulation optimizes the thermal network. Ref.…”

Section: Introductionmentioning

confidence: 99%

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Handling Non-Linearities in Modelling the Optimal Design and Operation of a Multi-Energy System

Mallégol,

Khannoussi,

Mohammadi

et al. 2023

Mathematics

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Multi-energy systems (MESs) combining different energy carriers like electricity and heat allow for more efficient and sustainable energy solutions. However, optimizing the design and operation of MESs is challenging due to non-linearities in the mathematical models used, especially the performance curves of technologies like combined heat and power units. Unlike similar work from the literature, this paper proposes an improved piecewise linearization method to efficiently handle the non-linearities, models an MES as a multi-objective mixed-integer linear program (MILP), and solves the optimization problem over a year with hourly resolution to enable detailed operation and faithful system design. The method uses fewer linear pieces to approximate non-linear functions compared to a standard technique, resulting in lower complexity while preserving accuracy. The MES design and operation problem maximizes cost reduction and the rate of renewable energy sources. A case study on an MES with electricity and heat over one year with hourly resolution demonstrates the effectiveness of the new method. It allows for solving a long-term MES optimization problem in reasonable computation times.

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Section: Introductionmentioning

confidence: 99%

“…Ref. [26] uses 1D and 2D piecewise linearization methods, including the triangle method proposed by [28], to linearize the performance curves of technologies in an MES. Moreover, various approximation methods of different complexities can be used to approximate these types of part-load efficiencies [29].…”

Section: Introductionmentioning

confidence: 99%