The wide region water-supply systems consist of large numbers of reservoirs, interconnecting pipes and pumping stations. Recently, the needs for optimal pumping control capable of maintaining desired reservoir storages, load flattening of purification plants and reduction of pumping costs over the entire control period are growing. However, high dimensionality on the system causes difficulties of identification of the weighting factors and solution to the non-linear optimization.
This paper successfully describes the practical method which makes it easy to solve the optimization problems for overcoming the difficulties of dimensionality. The features of this method are;
(1) The approach is based on the concept of simplification by temporary omitting of inequality constraints.
(2) The weighting factors are decomposed into some weighting factors which have only one function.
(3) To adjust the degree of minimization of each objective function, a reasonable identification method of the single functional weighting factors is presented.
(4) From the optimal set of solutions obtained without the inequality constraints, a feasible solution is selected by parametric approach varying the weighting factors to keep the inequality constraints.
The practical application of this scheme to the water-supply system with 4 reservoirs, 8 pipes and 7 demands indicates that the method is appropriate for the optimal online control.
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