Optimal synthesis of process systems Necessary condition for optimal system and its use in synthesis of systems

The necessary condition for the optimal process system structure which includes both the optimal interconnection and optimal design of processing units is derived in terms of the structural parameters. The structural parameters are essentially splitting factors of process streams connecting processing units. The necessary condition requires the structural parameters and the design vectors to satisfy the weak maximum condition of the Hamiltonian type scalar functions. On the basis of the condition, a search method, evolutionary search for optimal structure (ESOS), for attaining the optimal structure starting from a simple structure is developed and its convergence is proved. An example of synthesizing a reactor-separator system illustrates its use.