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A study of the friction model for the leak detection with a nonlinear observer is presented. Classically the friction model in leak detection algorithms only relies on a constant parameter. In the present work, the use of a more elaborate friction model is considered, with a coefficient explicitly depending on the flow, either algebraically, or even differentially. Those friction formulations are...
The orthogonal collocation method (OCM) is used to obtain an approximate solution of the water hammer equations which represent one-phase water flow transients in pipeline systems. The OCM provides solutions over the entire spatial domain, therefore it can be used to obtain an accurate model with possible leaks spatially distributed. An estimator can be designed based on the spatially-discretized...
This paper presents a new model for so-called water hammer equations based on a collocation method. This model is shown to fairly represent possible leak effects in a pipeline and thus to be useful in the purpose of leak detection. This is illustrated in simulation by an example of observer-based leak detector relying on this model.
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