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Calibration via Multi-period State Estimation in Water Distribution Systems

Author

Listed:
  • Sarai Díaz

    (University of Castilla-La Mancha)

  • Roberto Mínguez

    (Spin-Off UCLM, Hydraulics Laboratory University of Castilla-La Mancha)

  • Javier González

    (University of Castilla-La Mancha
    Spin-Off UCLM, Hydraulics Laboratory University of Castilla-La Mancha)

Abstract

Calibration of model parameters is of utmost importance to ensure the good performance of hydraulic simulation models. In this work, calibration is conceived within a joint multi-period parameter and state estimation approach, where model parameters (i.e. roughness coefficients) and hydraulic variables should be computed from available measurements at different times. The aim of this paper is twofold: (1) to present a novel methodology for the calibration of water networks via multi-period state estimation, and (2) to adapt observability analysis to this approach. The novelty of this work is that such a large-scale non-linear optimisation problem is here solved using mathematical programming decomposition techniques. On the other hand, observability analysis requires the construction of the multi-period measurement and parameter Jacobian matrix of the problem. The proposed approach enables computation of the observable roughness coefficients from available readings over time, making possible the periodic reassessment of roughness values based on recent online measurements. The potential of the method is illustrated by means of a case study, which shows how such a methodology would contribute to make the most of telemetry data for calibration purposes.

Suggested Citation

  • Sarai Díaz & Roberto Mínguez & Javier González, 2017. "Calibration via Multi-period State Estimation in Water Distribution Systems," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 31(15), pages 4801-4819, December.
    • Handle: RePEc:spr:waterr:v:31:y:2017:i:15:d:10.1007_s11269-017-1779-2
    DOI: 10.1007/s11269-017-1779-2
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    References listed on IDEAS

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    1. Shanmugam Kumar & Shankar Narasimhan & S. Murty Bhallamudi, 2010. "Parameter Estimation in Water Distribution Networks," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 24(6), pages 1251-1272, April.
    2. Zheng Wu & Christopher Clark, 2009. "Evolving Effective Hydraulic Model for Municipal Water Systems," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 23(1), pages 117-136, January.
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