Modeling of combined discrete/continuous processes

Authors

  • P. I. Barton,

    1. Centre for Process Systems Engineering, Imperial College of Science, Technology and Medicine, London SW7 2BY, England
    Current affiliation:
    1. Department of Chemical Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139
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  • C. C. Pantelides

    Corresponding author
    1. Centre for Process Systems Engineering, Imperial College of Science, Technology and Medicine, London SW7 2BY, England
    • Centre for Process Systems Engineering, Imperial College of Science, Technology and Medicine, London SW7 2BY, England
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Abstract

The dynamic behavior of processing systems exhibits both continuous and significant discrete aspects. Process simulation is therefore a combined discrete/continuous simulation problem. In addition, there is a critical need for a declarative process modeling environment to encompass the entire range of processing system operation, from purely continuous to batch. These issues are addressed by this article.

A new formal mathematical description of the combined discrete/continuous simulation problem is introduced to enhance the understanding of the fundamental discrete changes required to model processing systems. The modeling task is decomposed into two distinct activities: modeling fundamental physical behavior, and modeling the external actions imposed on this physical system. Both require significant discrete components. Important contributions include a powerful representation for discontinuities in physical behavior, and the first detailed consideration of how complex sequences of control actions may be modeled in a general manner.

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