Pipe roughness identification of water distribution networks: A Tensor method

Stefan Kaltenbacher, Martin Steinberger and Martin Horn

Applied Mathematics and Computation, 2022, vol. 413, issue C

Abstract: The identification of pipe roughnesses in a water distribution network is formulated as a nonlinear system of algebraic equations which turns out to be demanding to solve under real-world circumstances. This paper proposes an enhanced technique to numerically solve this identification problem, extending the conventional Newton–Raphson approach with second-order derivatives in the determination of the search direction. Despite the requirement to solve a nonlinear equation to obtain a search direction, the application of the Hadamard/Schur product operator enables the resulting formulation to be represented compactly and thus facilitates the development of an efficient and more robust solving-technique. Algorithms on the basis of this more enhanced solving method are then compared to a customized Newton–Raphson approach in simulation examples.

Keywords: Tensor method; Numerical root finding; Roughness calibration; Water distribution networks (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:413:y:2022:i:c:s0096300321006858

DOI: 10.1016/j.amc.2021.126601

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