Optimal energy and cleaning management in heat exchanger networks under fouling

This paper addresses the problem of cyclic cleaning and energy scheduling i n special classes of heat exchanger networks (HENs). A salient characterist ic of this problem is that the performance of each heat exchanger decreases with time and can then be restored to its initial state by performing clea ning operations. Due to the cyclic nature of the schedule, some operations may span successive cycles (wrap-around) which is taken into account in the mathematical model. A tight mixed integer linear programming (MILP) model is presented which is solved to global optimality. A detailed objective fun ction is used to account for cleaning cost and energy requirements. The for mulations can model serial and parallel HENs, as well as network arrangemen ts arising from the combination of these basic cases. The optimization algo rithm determines simultaneously: (i) the number of cleaning operations requ ired along with their corresponding timings and (ii) the optimal utility ut ilization profile over time. A complex heat exchanger network example is pr esented to illustrate the applicability of the proposed model.