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 and has been validated by simplifying many practical water network models for optimization studies.
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