We combine the concepts of element mole balance, population balance and shrinking core mechanism to develop a dynamic systems model for the Gasifier in an IGCC process. There is need for such a model for process analysis, optimization and low level control studies. The main idea is to use invariants, like elements (atoms), instead of compounds. This reduces the size of state space and we are able to explore the idea of a minimal state space representation for a thermodynamic process. The idea of a minimal state plays an important role in control theory as it is closely related to the concepts of controllability and observability.

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