Hybrid modelling with second order fluid stochastic Petri nets

Author

Wolter, Katinka ; Hommel, Günter

Author_Institution

Inst. fur Technische Inf., Tech. Univ. Berlin, Germany

fYear

1997

fDate

1-3 Apr 1997

Firstpage

239

Lastpage

243

Abstract

Stochastic Petri nets have been extended for the modelling of hybrid systems by adding fluid places, that are filled and emptied continuously at a random (normally distributed) rate. The flow rates as well as the discrete transition rates may depend on the content a fluid place holds. The dynamics of the model are described by second order partial differential equations, that can be solved by using an implicit Crank-Nicolson scheme. Reward measures such as the fluid throughput can be computed from the continuous part of the solution. As an example we present a model of a chemical reactor

Keywords

Petri nets; chemical technology; control system analysis; modelling; normal distribution; partial differential equations; stochastic processes; chemical reactor model; discrete transition rates; dynamics; flow rates; fluid places; fluid throughput; hybrid modelling; hybrid systems; implicit Crank-Nicolson scheme; normal distribution; random rate; reward measures; second order fluid stochastic Petri nets; second order partial differential equations; Chemicals; Continuous time systems; Differential equations; Diffusion processes; Fluid flow; Petri nets; Queueing analysis; Stochastic processes; Stochastic systems; Throughput;

fLanguage

English

Publisher

ieee

Conference_Titel

Parallel and Distributed Real-Time Systems, 1997. Proceedings of the Joint Workshop on

Conference_Location

Geneva

Print_ISBN

0-8186-8096-2

Type

conf

DOI

10.1109/WPDRTS.1997.637986

Filename

637986