HENS unchained: MILP implementation of multi-stage utilities with stream splits, variable temperatures and flow capacities

TL;DR

This paper introduces a MILP-based method for heat exchanger network synthesis that incorporates variable utility stream temperatures and flow capacities, enabling more flexible and cost-effective designs through multi-stage heat transfer and utility placement.

Contribution

It presents a novel superstructure formulation and efficient MILP implementation for utilities as streams with variable parameters, enhancing flexibility and cost savings in heat exchanger network design.

Findings

Cost savings achieved by adjusting utility outlet temperatures.

Efficient MILP formulation with piecewise-linear approximations.

Implementation of multi-stage utilities with stream splits improves design flexibility.

Abstract

Heat exchanger network synthesis (HENS) is a well-studied method in research for determining cost-optimal heat exchanger networks. In this paper, we present a modified superstructure formulation to implement streams with variable temperatures and flow capacities. To apply fast MILP solvers, all nonlinear terms, such as those of LMTD, HEX areas and energy balances, are piecewise-linear approximated with simplex or hyperplane models. The translation to MILP is achieved with highly efficient logarithmic coding. One promising application is implementing utilities as streams with variable temperatures and flow capacities. On the one hand, this enables multi-stage heat transfer with stream splits and intermediate utility placement. On the other hand, the temperatures of the utilities can be included as a design parameter in optimizing the heat exchanger network. This makes sense if only the sensible heat of, e.g., thermal oil, water or flue gas, is used as a utility where the inlet and outlet temperatures do not necessarily have to be specified a priori. To examine whether the implementation of utilities as streams leads to more cost-effective solutions, three representative case studies were considered. The results show that reducing the outlet temperature of cold utilities or increasing the outlet temperature of hot utilities leads to significant cost savings. We show that implementing utilities as multi-staged streams with stream splits, variable temperatures and flow capacities is a highly efficient tool for indirect, cost-efficient utility design.