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An application of hierarchical optimization in calibration of large-scale water networks. (English) Zbl 0555.93003

The paper develops a new method of optimized calibration of large-scale non-linear water networks. Calibration requirements are first discussed with relevance to the limited monitored operating data, the ill-defined network parameters and the potential benefits of more accurate network simulations for analysis and control purposes.
A formulation is then made which incorporates simultaneous adjustment of network physical parameters and related operational data in order to force agreement between measured and simulated variables. The system non- linear response is represented by a high-dimensional set of linear- equations relating controllable adjustment parameters to the observed discrepancies in operating conditions. Quadratic performace indices, with optional user-defined weighting factors, are shown to be most appropriate for the control variables. Use of a hierarchical optimization technique permits a solution to be obtained to the problem of high dimensionality with constrained controls and variable performance factors. Application of the scheme to a test distribution system leads to optimal adjustment of all the permitted variables to give the best overall solution for the available measurements.

MSC:

93A13 Hierarchical systems
90B10 Deterministic network models in operations research
93C10 Nonlinear systems in control theory
49K27 Optimality conditions for problems in abstract spaces
93A15 Large-scale systems
93C20 Control/observation systems governed by partial differential equations
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References:

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