An optimal planning method is presented for a cascade-type multistage refri
geration system. Heat exchange areas of evaporator, condenser, and beverage
cooler are determined optimally so as to minimize the annual total cost an
d input energy consumption subject to constraints concerning annual equipme
nt operation. This problem is considered as a multiobjective optimization o
ne, and a discrete set of Pareto optimal solutions is derived numerically b
y a weighting method. Through a numerical study, it is investigated how the
heat exchange areas influence the long-term economics and energy conservat
ion. Cascade-type multistage refrigeration systems are compared with single
-stage systems.