Non-linear identification of a Peltier cell model using evolutionary multi-objective optimization * *This work was supported by the Ministerio de Economía y Com-petitividad (Spain) [grant number DPI2015-71443-R] and the Universidad Politécnica Salesiana (Ecuador) [CB-755-2015]

Abstract In this paper a technique for identifying a first principles model of a Peltier cell using Multi-Objective Evolutionary optimization and experimental data is proposed. The methodology of multi-objective optimization applied together with the method of representation of the Pareto front called level diagram enables the analysis of the set of models obtained for the temperatures of a Peltier cell in different scenarios. Level diagrams facilitate the selection of a compromise model to characterize the thermoelectric module successfully. The main advantage of the multi-objective design methodology is to easily understand the trade-off among several Pareto optimal solutions. The designer can select the final solution according to his/her preferences without missing the knowledge available from the set of optimal solutions.