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Pseudotransient Continuation Method in Extended Period Simulation of Water Distribution Systems
Authors:Rogelio álvarez  Nikolai B. Gorev  Inna F. Kodzhespirova  Yuriy Kovalenko  Salvador Negrete  Alfredo Ramos  José J. Rivera
Affiliation:1Project Director, Sistemas y Procesos, Centro de Tecnología Avanzada, 150 Calz. del Retablo, Fovissste, 76150 Querétaro, Mexico.
2Senior Researcher, Dept. for Functional Elements of Control Systems, Institute of Technical Mechanics, 15 Leshko-Popel St., Dnepropetrovsk 49005, Ukraine. E-mail: gorev57@mail.ru
3Senior Researcher, Dept. for Functional Elements of Control Systems, Institute of Technical Mechanics, 15 Leshko-Popel St., Dnepropetrovsk 49005, Ukraine.
4Project Leader, Sistemas y Procesos, Centro de Tecnología Avanzada, 150 Calz. del Retablo, Fovissste, 76150 Querétaro, Mexico. E-mail: yuriy.kovalenko@ciateq.mx
5Project Manager, MetrikLAB Int. Blvd. del Centro 417, Prados de Vhsa., Villahermosa, Tab. 86030, Mexico.
6Business Associate Director, Centro de Tecnología Avanzada, 150 Calz. del Retablo, Fovissste, 76150 Querétaro, Mexico.
7Project Manager, Sistemas de Control, Centro de Tecnología Avanzada, 150 Calz. del Retablo, Fovissste, 76150 Querétaro, Mexico.
Abstract:This paper presents and discusses a new static solver that implements the pseudotransient continuation method for the quasi-steady state analysis, or extended-period simulation of water distribution systems. The implementation is based on the concept of virtual tanks and has a clear physical meaning. The steady state solver described in this paper can analyze a pipe network under pressure deficient conditions and is free from some convergence problems that occur in the Newton-Raphson method-based solvers when analyzing a pipe network with control devices. The numerical examples considered in the paper demonstrate the convergence of the proposed method in cases where existing static solvers (e.g., that of the EPANET 2 hydraulic simulator) fail.
Keywords:Water distribution systems  Simulation models  Dynamic analysis  
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