Abstract
A theory for the optimization of nonlinear hydraulic systems is presented. The problem has been solved in spite of the nonlinear system model and the mixed-integer nature of the decision variables. The optimization problem is formulated in terms of the time-distribution-function concept. This leads to a numerically efficient two-level algorithm. No specific control model is needed: the algorithm employs a system simulator. The general approach is also applicable to other nonlinear systems. The paper concludes with a practical application, together with numerical results.
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Communicated by A. W. Westerberg
The authors would like to thank both Thames Water Authority and Yorkshire Water Authority for support and valuable discussions. The contribution from Mr. John Rance in analyzing the system is also gratefully acknowledged.
on leave from Bialystok Polytechnic, Bialystok, Poland.
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Ulanicki, B., Orr, C.H. Unified approach for the optimization of nonlinear hydraulic systems. J Optim Theory Appl 68, 161–179 (1991). https://doi.org/10.1007/BF00939940
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DOI: https://doi.org/10.1007/BF00939940