2018/07/03 by Mohammadhafez Bazrafshan, Nikolaos Gatsis, Bazrafshan, Mohammadhafez +5
Decision Sciences · Engineering · #FOS: Electrical engineering #Probabilistic and Robust Engineering Design #Systems and Control (eess.SY) #Water Systems and Optimization #Water resources management and optimization #electronic engineering #information engineering
paper · pdf · doi:10.48550/arxiv.1807.01404
openalex publication_date 2018/07/03 · openalex created_date 2022/08/04 · openalex updated_date 2026/07/28
This paper develops a fixed-point iteration to solve the steady-state water\nflow equations in an urban water distribution network. The fixed-point\niteration is derived upon the assumption of turbulent flow solutions and the\nvalidity of the Hazen-Williams head loss formula for water flow. Local\nconvergence is ensured if the spectral radius of the Jacobian at the solution\nis smaller than one. The implication is that the solution is at least locally\nunique and that the spectral radius of the Jacobian provides an estimate of the\nconvergence speed. A sample water network is provided to assert the application\nof the proposed method.\n