?url_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Adc&rft.relation=http%3A%2F%2Fmiis.maths.ox.ac.uk%2Fmiis%2F597%2F&rft.title=DHV+water+pumping+optimization&rft.creator=van+Mourik%2C+S&rft.creator=Bierkens%2C+J&rft.creator=Stigter%2C+H&rft.subject=Environment&rft.subject=Energy+and+utilities&rft.subject=Retail&rft.description=his+contribution+investigates+the+possibilities+for+optimizing+a+drinking+water+network+over+a+horizon+of+48+hours%2C+given+variable+water+demands%2C+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%2C+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%2C+for+a+horizon+of+48+hours+there+are+2(4%C3%9748%C3%9715)+switching+possibilities.+Obviously%2C+this+problem+is+too+big+to+solve+it+in+real-time+by+enumeration.+Hence%2C+a+decomposition+of+the+problem+is+needed.+Relaxing+the+constraints+and+assuming+a+continuous-time+flow+rate%2C+allows+a+(semi)-analytical+solution+using+Lagrangian+theory.+Furthermore%2C+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%2Foff+switching+is+also+investigated%2C+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.&rft.date=2009&rft.type=Study+Group+Report&rft.type=NonPeerReviewed&rft.format=application%2Fpdf&rft.language=en&rft.identifier=http%3A%2F%2Fmiis.maths.ox.ac.uk%2Fmiis%2F597%2F1%2FWag6.pdf&rft.identifier=++van+Mourik%2C+S+and+Bierkens%2C+J+and+Stigter%2C+H++(2009)+DHV+water+pumping+optimization.++%5BStudy+Group+Report%5D+++++