Optimality of Process Networks

Optimality of Process Networks

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In this paper we show that conservation laws for extensive quantities and the second law of thermodynamics lead to conditions for stability and optimality of a process network. Interconnections among nodes are represented through connectivity matrices and network graphs. A generalized version of Tellegen’s theorem from electrical circuit theory plays a central role in deriving the objective function of the regarded dynamic process networks. The application of irreversible thermodynamics lead to stability and optimality results based on the co-content and content of the regarded process networks. The principle is illustrated in a pipeflow example.
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In this paper we show that conservation laws for extensive quantities and the second law of thermodynamics lead to conditions for stability and optimality of a process network. Interconnections among nodes are represented through connectivity matrices and network graphs. A generalized version of Tellegen’s theorem from electrical circuit theory plays a central role in deriving the objective function of the regarded dynamic process networks. The application of irreversible thermodynamics lead to stability and optimality results based on the co-content and content of the regarded process networks. The principle is illustrated in a pipeflow example.

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