Imperial College London


Faculty of EngineeringDepartment of Civil and Environmental Engineering

Senior Lecturer



+44 (0)20 7594 6035ivan.stoianov Website




Miss Judith Barritt +44 (0)20 7594 5967




408Skempton BuildingSouth Kensington Campus






BibTex format

author = {Menke, RMM and Abraham, EA and Stoianov, IS},
doi = {10.1061/9780784479858.022},
title = {Modeling variable speed pumps for optimal pumpscheduling},
url = {},

RIS format (EndNote, RefMan)

AB - Increasingly more variable speed drive pumps are installed in water distributionsystems worldwide. However, the modeling of variable speed drives in such networksremains difficult, especially in the context of mathematical optimization for pumpscheduling. For the problem of energy usage minimization, formulated as a mixedinteger program, we propose a new simplified convex relaxation of the hydrauliccharacteristics of a variable speed pump. By using different model approximations forthe power curve, as a function of pump speed and volumetric flow rate, we study thetrade-off in the computational complexity and quality of solutions obtained. We usetwo small benchmark networks and real pump data from three different pumps tocalculate operating schedules. We show that these schedules, are computed in a timesuitable for operational usage, enable operation with lower operating cost compared tofixed speed pumps, and their sub-optimality can be computed.
AU - Menke,RMM
AU - Abraham,EA
AU - Stoianov,IS
DO - 10.1061/9780784479858.022
TI - Modeling variable speed pumps for optimal pumpscheduling
UR -
ER -