Digital Program for Water Network Analysis

by Roger P. Donachie, Economics Group, Water Res. Assoc., Medmenham, Marlow, Buckinghamshire, U.K.,

Serial Information: Journal of the Hydraulics Division, 1974, Vol. 100, Issue 3, Pg. 393-403

Document Type: Journal Paper


The pressures and flows in a water distribution system are solved by a modified Newton-Raphson method. This method removes the problems of pressure initialization and greatly increases convergence particularly in systems containing pumps or pressure reducing valves, or both. The program will automatically amend pipe resistances so that calculated pressures agree with measured pressures. Both the system equations and those for the automatic balancing routine are derived. Examples are shown of the improved rate of convergence and the automatic balancing.

Subject Headings: Automation | Water management | Network analysis | Water supply systems | Convergence (mathematics) | Pressure distribution | Flow distribution | Pressurized flow

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