2026-07-22T18:11:15Z https://drops.dagstuhl.de/oai

oai:drops-oai.dagstuhl.de:7628 2024-03-06T10:39:46Z ddc:004 open_access

Designing Energy-Efficient Heat Recovery Networks using Mixed-Integer Nonlinear Optimisation Baltean-Lugojan, Radu Floudas, Christodoulos A. Misener, Ruth Mistry, Miten Heat exchanger network Mixed-integer nonlinear optimisation Log mean temperature difference Deterministic global optimisation Many industrial processes involve heating and cooling liquids: a quarter of the EU 2012 energy consumption came from industry and industry uses 73% of this energy on heating and cooling. We discuss mixed-integer nonlinear optimisation and its applications to energy efficiency. Our particular emphasis is on algorithms and solution techniques enabling optimisation for large-scale industrial networks. As a first application, optimising heat exchangers networks may increase efficiency in industrial plants. We develop deterministic global optimisation algorithms for a mixed-integer nonlinear optimisation model that simultaneously incorporates utility cost, equipment area, and hot/cold stream matches. We automatically recognise and exploit special mathematical structures common in heat recovery. We also computationally demonstrate the impact on the global optimisation solver ANTIGONE and benchmark large-scale test cases against heuristic approaches. As a second application, we discuss special structure in nonconvex quadratically-constrained optimisation problems, particularly through the lens of stream mixing and intermediate blending on process systems engineering networks. We take a parametric approach to uncovering topological structure and sparsity of the standard pooling problem in its p-formulation. We show that the sparse patterns of active topological structure are associated with a piecewise objective function. Finally, the presentation explains the conditions under which sparsity vanishes and where the combinatorial complexity emerges to cross over the P/NP boundary. We formally present the results obtained and their derivations for various specialised instances. Schloss Dagstuhl – Leibniz-Zentrum für Informatik Radu Baltean-Lugojan and Christodoulos A. Floudas and Ruth Misener and Miten Mistry 2017 Is Part Of LIPIcs, Volume 75, 16th International Symposium on Experimental Algorithms (SEA 2017) InProceedings Text doc-type:ResearchArticle publishedVersion application/pdf doi:10.4230/LIPIcs.SEA.2017.1 urn:nbn:de:0030-drops-76288 https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SEA.2017.1 eng https://creativecommons.org/licenses/by/3.0/legalcode