Water Distribution System Analysis: Newton-Raphson Method Revisited
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Volume 137, Issue 8
Abstract
Looped water distribution systems are conventionally analyzed using iterative methods such as Cross, Linear, Newton-Raphson, and Gradient algorithm methods. Depending on the unknown (hydraulic head or discharge), the methods are characterized as or methods. This paper focuses on the -Newton-Raphson method, which uses the Darcy-Weisbach head loss equation. The paper presents a procedure for improving the -Newton-Raphson iterative procedure by directly calculating the discharge of each branch by using the Swamee and Jain equation. The proposed procedure leads to a simplified algorithm and more accurate determination of the Jacobian matrix, which accelerates the convergence of the algorithm.
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Information
Published In
Journal of Hydraulic Engineering
Volume 137 • Issue 8 • August 2011
Pages: 852 - 855
Copyright
© 2011 American Society of Civil Engineers.
History
Received: May 13, 2010
Accepted: Nov 16, 2010
Published online: Nov 19, 2010
Published in print: Aug 1, 2011
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