Abstract
A simple and reliable iterative solution method of classical hydraulic network flow rate distribution problem is described. The method is based on chord linearization of inverse branch loss function which keeps basic branch properties. It has good speed of convergency which is practically independent of initial values.
Highlights
The article describes hydraulic network flow rate distribution calculation method, successfully used from 1972 year (([1], [2], [3]).Various methods of solving classical hydraulic network flow rate distribution problem have been investigating already during almost a century, starting from Lobachev – Hardy Cross method [4, 5]
The most popular in the last time are different variants of iterative methods based on Newton-Raphson algorithm, which use derivative linearization of hydraulic network equations in different forms: methods of Linear Theory (LT) [8], Loop Flow (LP) [6, 7, 9, 10], Nodal Adjustment method (NA) [6, 7, 11, 12], and Global Gradient Algorithm (GGA) [13, 14]
Really this problem theoretically exists, but in practice it disappears if laminar flow is taken into account in this case
Summary
The article describes hydraulic network flow rate distribution calculation method, successfully used from 1972 year (([1], [2], [3]). The most popular in the last time are different variants of iterative methods based on Newton-Raphson algorithm, which use derivative linearization of hydraulic network equations in different forms: methods of Linear Theory (LT) [8], Loop Flow (LP) [6, 7, 9, 10], Nodal Adjustment method (NA) [6, 7, 11, 12], and Global Gradient Algorithm (GGA) [13, 14] The review of these methods can be found in [Ошибка! Really this problem theoretically exists, but in practice it disappears if laminar flow is taken into account in this case
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