The battle of the water calibration networks (BWC): Roughness and demand estimation based on weighted least squares (WLS) method

Doosun Kang, Kevin Lansey

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Scopus citations

Abstract

The weighted least squares (WLS) method has been widely used for parameter estimation and state estimation in water distribution system (WDS). The problem is formulated as a minimization of error between the field measurements and simulation model outputs by adjusting parameter values, which is the common procedure as other calibration approaches (e.g., trial and error or optimization algorithm). Instead of random searching approach, however, the WLS updates the unknown parameters iteratively using Jacobian matrix, which is the sensitivity of the measurement vector to changes in the input parameters, forming the basis of the WLS scheme. A Taylor series expansion provides an approximation of the non-linear vector function expressing the relationship between unknowns and measurements (or model outputs). The optimal estimate is updated iteratively until the target errors are small enough or the magnitudes of the estimate corrections become smaller than a given tolerance level.

Original languageEnglish (US)
Title of host publicationWater Distribution Systems Analysis 2010 - Proceedings of the 12th International Conference, WDSA 2010
Pages1532-1544
Number of pages13
DOIs
StatePublished - Jan 30 2012
Event12th Annual International Conference on Water Distribution Systems Analysis 2010, WDSA 2010 - Tucson, AZ, United States
Duration: Sep 12 2010Sep 15 2010

Publication series

NameWater Distribution Systems Analysis 2010 - Proceedings of the 12th International Conference, WDSA 2010

Other

Other12th Annual International Conference on Water Distribution Systems Analysis 2010, WDSA 2010
Country/TerritoryUnited States
CityTucson, AZ
Period9/12/109/15/10

Keywords

  • BWCN
  • Roughness and demand
  • Taylor expansion
  • Weighted least squares (WLS)

ASJC Scopus subject areas

  • Water Science and Technology

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