Hybrid modelling and simulation of time-delay elements

Most general purpose simulation languages do not provide support for modelling and simulation of delay elements with variable delay times. In this paper, combined discrete-event/continuous-time (hybrid) models of time delay elements are treated. An introduction is given to discrete-event and continuous-time models of delay elements. The hybrid models are compared to the traditional models using a step and sine input function. The hybrid models outperform the traditional models on accuracy, computation time, and stability. The most important aspect of the hybrid models with a variable delay time is that between two adjacent sample points, the volume entering the element is constant

[1]  L. Petzold.  A description of dassl: a differential/algebraic system solver , 1982 .

[2]  G Goce Naumoski,et al.  A discrete-event simulator for systems engineering , 1998 .

[3]  H. W. Hinds,et al.  The method of lines and the advective equation , 1978 .

[4]  J.E. Rooda,et al.  Batch size optimization of a furnace and pre-clean area by using dynamic simulations , 1998, IEEE/SEMI 1998 IEEE/SEMI Advanced Semiconductor Manufacturing Conference and Workshop (Cat. No.98CH36168).

[5]  X. Shao,et al.  Adaptive hybridized spline differentiators for numerical solution of the advection equation , 1987 .

[6]  W. Morton,et al.  Time delays in dynamic simulation , 1989 .

[7]  William E. Schiesser,et al.  Dynamic Modeling of Transport Process Systems , 1992 .

[8]  J.E. Rooda,et al.  Specification of a Flexible Manufacturing System Using Concurrent Programming , 1995 .

[9]  Edward Schlossmacher.  Modeling and Simulation in Chemical Engineering , 1975 .

[10]  Michel A. Reniers,et al.  A process algebra based verification of a production system , 1998, Proceedings Second International Conference on Formal Engineering Methods (Cat.No.98EX241).

[11]  V Victor Bos,et al.  Structured operational semantics of chi , 1999 .

[12]  S. J. Ball.  A variable time-delay subroutine for digital simulation programs , 1966 .

[13]  Roger G.E. Franks,et al.  Modeling and Simulation in Chemical Engineering , 1972 .

[14]  T. G. Coleman.  A time-delay "special element" for PACTOLUS , 1965 .

[15]  D. A. van Beek,et al.  Languages and applications in hybrid modelling : positioning of Chi , 1998 .

[16]  J. E. Rooda,et al.  Integrating continuous-time and discrete-event concepts in modelling and simulation of manufacturing machines , 1997, Simul. Pract. Theory.

[17]  G Georgina Fabian,et al.  A language and simulator for hybrid systems , 1999 .