Multi-plant direct heat integration based on the risk-based Shapley value and Alopex-based evolutionary algorithm

Abstract

Current heat exchanger network (HEN) synthesis is mainly focused on minimizing the total annual cost (TAC), and then allocating the minimized TAC among plants. However, the obtained HENs usually have complex inter-plant heat matches, and if unplanned shutdowns occur, connected plants will suffer huge economic losses. Consequently, some plants may be unsatisfied with their allocated costs and prefer not to join this multi-plant coalition. In this study, a natural risk-based Shapley value curve is used to represent the variation of cost allocation under shutdown risks between 0% and 100%. Alopex-based optimization strategies are proposed to optimize the modified HEN model with core constraints that can restrict the Shapley value curve to the core range as feasible cost allocation solutions. Therefore, HEN configurations and acceptable cost allocation plans under any shutdown risks are determined simultaneously. Two cases demonstrate that the proposed methodology can reduce shutdown-induced economic losses and facilitate multi-plant cooperation.