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.
Original language | English |
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Article number | 126601 |
Number of pages | 27 |
Journal | Applied Mathematics and Computation |
Volume | 413 |
DOIs | |
Publication status | Published - 2022 |
Keywords
- pipe roughness
- parameter identification
- tensor method
- Water Distribution Network
- numerical root finding
- roughness calibration
- Numerical root finding
- Water distribution networks
- Tensor method
- Roughness calibration
ASJC Scopus subject areas
- Computational Mathematics
- Applied Mathematics