Abstract:
Modelling of optimal hydraulic pipeline for regional and interregional water supply systems
is highly relevant because of water scarcity in some parts of Russia. For a multi-extreme optimization
problem to which this problem relates a local extremum is not sufficient and an absolute extremum is not
possible since it would take a massive amount of computing power to solve. The purpose of the research
is to develop a method, algorithms and software system for computer modelling of large branched water
pipeline systems with higher-order optimality. The basis of the method is to divide the synthesis problem
with flux and potential variables (Kirchhoff's circuit) into two phases; it allows us to significantly reduce
the computation time and resource requirements. The first phase determines the network structure while
the second one identifies values of hydraulic parameters. The proposed methodology, algorithm and
software are designed for computer modelling of branched water pipelines systems of regional and
interregional water supply as well as for large-scale irrigation systems.
Keywords:branched hydraulic pipeline Kirchhoff's circuit, computer modelling, rank optimization,
dimensionality reduction, Darcy–Weisbach equation, pipeline costs, energy costs, pump station
Fulltext:
PDF file (710 kB)