The Application of the ‘K-Nearest Neighbour’ Method to Evaluate Pressure Loss in Water Supply Lines

Water supply systems are complex engineering structures; certainly, the most important part is the water distribution network. The design of this element requires calculations and many analyses to arrive at the best solution. The main task of the calculation is to determine the flow rates through pipes, to determine pressure losses, height of tanks, pressure required in the supply pumping station, pressure levels in the individual nodes of the network. Correct execution of the calculations requires careful evaluation of the results obtained and accuracy in the solutions applied. The issue of controlling the results of calculations is difficult to present in algorithmic form as these are mainly based on the experience and knowledge of the designer. Classes of decisions describing the problems of pressure loss in the pipework were established in order to evaluate the results of calculations. Numerical experiments were carried out in this paper to show how the ‘K-nearest neighbour’ method can be used to evaluate pressure loss in water pipes

Kohonen Artificial Networks for the Verification of the Diameters of Water-pipes

The design of the water distribution system is inherently linked to the execution of calculations, which aim, among other things, to determine the flow rate through individual pipes and the selection of diameters at the appropriate speed. Each step in the calculations is followed by an evaluation of the results and, if necessary, a correction of the data and further calculations. It is up to the designer to analyse the accuracy of the calculation results and is time-consuming for large systems. In this article, a diagnostic method for the results of hydraulic calculations, based on Kohonen Network, which classifies nominal diameters [DN] on the basis of data, in the form of flows, has been proposed. After calculating the new variant of the water distribution system, the individual calculation sections are assigned to the neurons of the topological map of Kohonen Network drawn up for nominal diameters. By comparing the diameter used for the calculation, with the diameter obtained on the topological map, the accuracy of the chosen diameter can be assessed. The topological map, created as a result of labelling the neurons of the output layer of the Kohonen Network, graphically shows the position of the classified diameter, relative to those diameters with similar input values. The position of a given diameter, relative to other diameters, may suggest the need to change the diameter of the pipe