Hybrid Modelling of Distributed Water Supply Networks

In this paper, the modelling of a class of distributed water supply networks is considered, where the modelling of pipes, valves, pump stations and reservoirs are presented separately. Two laws, nodal mass balance and energy conservation, are introduced to derive a general model for the water supply networks. The pumps are assumed to be working in parallel and a hybrid model is provided to describe the dynamics of pump stations, the discrete/ continuous variables in which represent the status (on or off) and the speed of pumps, respectively. Finally, a case study is given to illustrate the effectiveness of our proposed methods.