The MIIS Eprints Archive

DHV water pumping optimization

van Mourik, S and Bierkens, J and Stigter, H (2009) DHV water pumping optimization. [Study Group Report]



his contribution investigates the possibilities for optimizing a drinking water network over a horizon of 48 hours, given variable water demands, energy prices and constraints on the pumping strategy and water levels in the reservoirs. Both the dynamic model and goal function are non-linear in the control inputs, the pump flow rates. Since each pump can be switched on or off every 15 minutes and since there are 15 pumps in the system, for a horizon of 48 hours there are 2(4×48×15) switching possibilities. Obviously, this problem is too big to solve it in real-time by enumeration. Hence, a decomposition of the problem is needed. Relaxing the constraints and assuming a continuous-time flow rate, allows a (semi)-analytical solution using Lagrangian theory. Furthermore, a numerical solution of the constrained optimization problem is found by using the TomLab PROMPT toolbox. The conversion from a continuous-time pump flow rate to a strategy with on/off switching is also investigated, as well as the possibility of linear feedback control. The resulting trajectories of the pump flow rates and water levels in the reservoirs are realistic and can be physically interpreted.

Item Type:Study Group Report
Problem Sectors:Environment
Energy and utilities
Study Groups:European Study Group with Industry > ESGI 67 (Wageningen, Netherlands, Jan 26-30, 2009) (SWI 2009)
ID Code:597
Deposited By: Mark Curtis
Deposited On:29 Oct 2012 16:50
Last Modified:29 May 2015 20:13

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