Model for Optimal Operation of Water Distribution Pumps with Uncertain Demand Patterns

Puneet Khatavkar, Larry Mays

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

An optimization model is presented for pump operation based upon minimizing operation costs and indirectly the maintenance costs of pumps considering uncertainty of specified demand (load) curves. The purpose of this model is to determine pump operation to meet the uncertain demands as well as to satisfy the pressure requirements in the water distribution system. In addition, constraints on the number of pump (‘on-off’) switches are included as a surrogate to indirectly minimizing the maintenance costs. This model is a mixed integer nonlinear programming (MINLP) problem using a chance constraint formulation of the uncertain demand constraint. The optimization model was solved using the LocalSolver option in A Mathematical Programming Language (AMPL). The model was first applied to the operation of an example pumping system for an urban water distribution system (WDS) illustrating a reduction in operation costs using the optimization model. The optimization model with the chance-constraint for demand was applied for a range of demand satisfaction uncertainties. A decrease in the operation costs was observed with an increased uncertainty in demand satisfaction, which shows that the model further optimizes the operations considering the relaxed constraints. Model application could be extended to operations of pumping systems during emergencies and contingencies such as droughts, component failures etc.

Original languageEnglish (US)
Pages (from-to)1-14
Number of pages14
JournalWater Resources Management
DOIs
StateAccepted/In press - May 29 2017

Fingerprint

pump
Pumps
Water
water
Water distribution systems
cost
Costs
pumping
demand
distribution
Drought
Mathematical programming
Nonlinear programming
Computer programming languages
drought
Switches
Uncertainty

Keywords

  • Optimal operation
  • Pumps
  • Uncertain demand
  • Water distribution

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Water Science and Technology

Cite this

Model for Optimal Operation of Water Distribution Pumps with Uncertain Demand Patterns. / Khatavkar, Puneet; Mays, Larry.

In: Water Resources Management, 29.05.2017, p. 1-14.

Research output: Contribution to journalArticle

@article{feaeedfb3c294a37b45bde710642f7bf,
title = "Model for Optimal Operation of Water Distribution Pumps with Uncertain Demand Patterns",
abstract = "An optimization model is presented for pump operation based upon minimizing operation costs and indirectly the maintenance costs of pumps considering uncertainty of specified demand (load) curves. The purpose of this model is to determine pump operation to meet the uncertain demands as well as to satisfy the pressure requirements in the water distribution system. In addition, constraints on the number of pump (‘on-off’) switches are included as a surrogate to indirectly minimizing the maintenance costs. This model is a mixed integer nonlinear programming (MINLP) problem using a chance constraint formulation of the uncertain demand constraint. The optimization model was solved using the LocalSolver option in A Mathematical Programming Language (AMPL). The model was first applied to the operation of an example pumping system for an urban water distribution system (WDS) illustrating a reduction in operation costs using the optimization model. The optimization model with the chance-constraint for demand was applied for a range of demand satisfaction uncertainties. A decrease in the operation costs was observed with an increased uncertainty in demand satisfaction, which shows that the model further optimizes the operations considering the relaxed constraints. Model application could be extended to operations of pumping systems during emergencies and contingencies such as droughts, component failures etc.",
keywords = "Optimal operation, Pumps, Uncertain demand, Water distribution",
author = "Puneet Khatavkar and Larry Mays",
year = "2017",
month = "5",
day = "29",
doi = "10.1007/s11269-017-1712-8",
language = "English (US)",
pages = "1--14",
journal = "Water Resources Management",
issn = "0920-4741",
publisher = "Springer Netherlands",

}

TY - JOUR

T1 - Model for Optimal Operation of Water Distribution Pumps with Uncertain Demand Patterns

AU - Khatavkar, Puneet

AU - Mays, Larry

PY - 2017/5/29

Y1 - 2017/5/29

N2 - An optimization model is presented for pump operation based upon minimizing operation costs and indirectly the maintenance costs of pumps considering uncertainty of specified demand (load) curves. The purpose of this model is to determine pump operation to meet the uncertain demands as well as to satisfy the pressure requirements in the water distribution system. In addition, constraints on the number of pump (‘on-off’) switches are included as a surrogate to indirectly minimizing the maintenance costs. This model is a mixed integer nonlinear programming (MINLP) problem using a chance constraint formulation of the uncertain demand constraint. The optimization model was solved using the LocalSolver option in A Mathematical Programming Language (AMPL). The model was first applied to the operation of an example pumping system for an urban water distribution system (WDS) illustrating a reduction in operation costs using the optimization model. The optimization model with the chance-constraint for demand was applied for a range of demand satisfaction uncertainties. A decrease in the operation costs was observed with an increased uncertainty in demand satisfaction, which shows that the model further optimizes the operations considering the relaxed constraints. Model application could be extended to operations of pumping systems during emergencies and contingencies such as droughts, component failures etc.

AB - An optimization model is presented for pump operation based upon minimizing operation costs and indirectly the maintenance costs of pumps considering uncertainty of specified demand (load) curves. The purpose of this model is to determine pump operation to meet the uncertain demands as well as to satisfy the pressure requirements in the water distribution system. In addition, constraints on the number of pump (‘on-off’) switches are included as a surrogate to indirectly minimizing the maintenance costs. This model is a mixed integer nonlinear programming (MINLP) problem using a chance constraint formulation of the uncertain demand constraint. The optimization model was solved using the LocalSolver option in A Mathematical Programming Language (AMPL). The model was first applied to the operation of an example pumping system for an urban water distribution system (WDS) illustrating a reduction in operation costs using the optimization model. The optimization model with the chance-constraint for demand was applied for a range of demand satisfaction uncertainties. A decrease in the operation costs was observed with an increased uncertainty in demand satisfaction, which shows that the model further optimizes the operations considering the relaxed constraints. Model application could be extended to operations of pumping systems during emergencies and contingencies such as droughts, component failures etc.

KW - Optimal operation

KW - Pumps

KW - Uncertain demand

KW - Water distribution

UR - http://www.scopus.com/inward/record.url?scp=85019674660&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85019674660&partnerID=8YFLogxK

U2 - 10.1007/s11269-017-1712-8

DO - 10.1007/s11269-017-1712-8

M3 - Article

AN - SCOPUS:85019674660

SP - 1

EP - 14

JO - Water Resources Management

JF - Water Resources Management

SN - 0920-4741

ER -