In order to improve energy consumption efficiency of alumina evaporation process(AEP)，an optimization model is built to maximize exergy utilization ratio.  The objective is to minimize exergy loss rate and maximize target exergy efficiency. The constraints of the optimization model are handled by a type of robust function combined with a basin hopping based infeasible solution modification method. This decreases the influence of infeasible solutions，that is，those with a big degree of constraint violation，and preserves the information provided by infeasible solutions. A particle swarm optimization(PSO)algorithm with vortex topology is used to optimize the objective function effectively. Optimal results of a practical AEP show that the optimization model takes into account both exergy loss rate and system thermodynamic perfect degree

and optimization operation can improve energy efficiency and ensure the quality of solution.