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The process of controlling tailpipe emissions leads to the need to understand the dynamic behaviour of the after-treatment devices. The model provides the basis for design prediction, on-line diagnosis and real time control. Although a number of models have been presented in the literature, their efficient performance continues to require further development and validation to meet increasingly demanding requirements. Models have been developed that use the basic physical framework including thermal behaviour, fluid mechanics and basic chemistries. As more demands are placed on models, more phenomena need to be taken into account and in particular, progressively more of the chemistry of the Three-Way Catalyst (TWC) itself. In this paper we present a black-box model for a three-way catalytic converter that has been developed and tested using real experimental data.