Slow transient pressure regulation in water distribution systems
Régulation de la pression avec un écoulement transitoire lent pour des systèmes de distribution d'eau
Résumé
An optimal control problem is formulated for pressure regulating devices using a slow transient model (rigid water column) for water distribution networks. Pipe flows and node heads are sought to (1) minimize deviations from pressure targets at pressure control valves and (2) to satisfy the slow transient state equations (conservation of mass and energy). The continuous control variable is the degree of closing of pressure regulating devices ranging from zero (fully open) to one (closed). The control variable time derivative is bounded as well. As in conventional steady state analysis, it is possible to reduce the state equation system so that it is loop-based. Sensitivity equations with respect to the control variable are derived from the state equations. An efficient method is presented to numerically integrate these stiff ordinary differential equations in a coupled manner. The control variables are then updated using Levenberg-Marquardt iterations. Finally, feasibility of the method and efficiency of the proposed algorithm are proved on study cases and real networks.
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SlowTransientPressureRegulationWDS_PillerGancelPropato_CCWI05_fv.pdf (129.47 Ko)
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