Fast and Practical Method for Model Reduction of Large-Scale Water-Distribution Networks

Abstract

The paper presents a method for the reduction of network models described by a system of non-linear algebraic equations. Such models are, for example, present when modeling water networks, electrical networks and gas networks. The approach calculates a network model, equivalent to the original one, but which contains fewer components. This procedure has an advantage compared to straightforward linearization because the reduced non-linear model preserves the non-linearity of the original model and approximates the original model in a wide range of operating conditions. The method is applicable to hydraulic analysis especially for preparing reduced models for the optimal scheduling studies and has been validated by simplifying many practical water network models for optimization studies.