Modelling and simulation of water distribution systems using timed hybrid Petri nets

Berenice Gudiño-Mendoza (1, 2) , Ernesto López-Melladoa (1, 2) , Hassane Alla (3)

1 CINVESTAV - Centro de Investigacion y de Estudios Avanzados del Instituto Politécnico Nacional
2 GIPSA-lab - Grenoble Images Parole Signal Automatique
3 GIPSA-SYSCO - GIPSA - Systèmes non linéaires et complexité

This paper deals with modelling and simulation of water distribution systems using Hybrid Petri Nets. A methodology for building a Timed Hybrid Petri Net (THPN) model is proposed; the model is derived from a set of equations describing conservation of mass and energy that specify the behaviour of a water distribution network. A simulation technique for the execution of a THPN in which the transitions firing velocities are established from the linearised equations conservation of energy is also presented. Based on this technique, a simulator in Matlab was developed.

Mots clés: Water Distribution Networks; Hybrid models; Timed Hybrid Petri Nets; Simulation

Domaines: Théorie de l'information [cs.IT]; Théorie de l'information et codage [math.IT]

Berenice Gudiño-Mendoza, Ernesto López-Melladoa, Hassane Alla. Modelling and simulation of water distribution systems using timed hybrid Petri nets. SIMULATION: Transactions of The Society for Modeling and Simulation International, 2011, 01 (00), pp.1-19. ⟨10.1177/0037549710388749⟩. ⟨hal-00560890⟩