TY - JOUR
T1 - Pipe roughness identification of water distribution networks: A Tensor method
AU - Kaltenbacher, Stefan
AU - Steinberger, Martin
AU - Horn, Martin
PY - 2022
Y1 - 2022
N2 - 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.
AB - 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.
KW - pipe roughness
KW - parameter identification
KW - tensor method
KW - Water Distribution Network
KW - numerical root finding
KW - roughness calibration
KW - Numerical root finding
KW - Water distribution networks
KW - Tensor method
KW - Roughness calibration
UR - http://www.scopus.com/inward/record.url?scp=85116017249&partnerID=8YFLogxK
U2 - 10.1016/j.amc.2021.126601
DO - 10.1016/j.amc.2021.126601
M3 - Article
SN - 0096-3003
VL - 413
JO - Applied Mathematics and Computation
JF - Applied Mathematics and Computation
M1 - 126601
ER -