Optimal scheduling of single stage batch plants with direct heat integration |
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Affiliation: | 1. Automation Technology, BASF SE, 67056 Ludwigshafen, Germany;2. Department of Engineering Cybernetics, NTNU, 7491 Trondheim, Norway |
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Abstract: | This paper addresses the multi-objective optimization problem arising in the operation of heat integrated batch plants, where makespan and utility consumption are the two conflicting objectives. A new continuous-time MILP formulation with general precedence variables is proposed to simultaneously handle decisions related to timing, product sequencing, heat exchanger matches (selected from a two-stage superstructure) and their heat loads. It features a complex set of timing constraints to synchronize heating and cooling tasks, derived from Generalized Disjunctive Programming. Through the solution of an industrial case study from a vegetable oil refinery, we show that major savings in utilities can be achieved while generating the set of Pareto optimal solutions through the ?-constraint method. |
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Keywords: | Energy efficiency Heat exchanger networks Short-term scheduling Multi-objective optimization Mathematical modeling Mixed-integer linear programming |
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