Conference paperKRAUS Michal and KUNOVSKÝ Jiří. Adapting PowerSeries Integration to RealTime Simulation. In: Proceedings of the 6th EUROSIM Congress on Modelling and Simulation. Viena: ARGE Simulation News, 2007, p. 6. ISBN 9783901608322.  Publication language:  english 

Original title:  Adapting PowerSeries Integration to RealTime Simulation 

Title (cs):  Adapting PowerSeries Integration to RealTime Simulation 

Pages:  6 

Proceedings:  Proceedings of the 6th EUROSIM Congress on Modelling and Simulation 

Conference:  6th EUROSIM Congress on Modelling and Simulation 

Series:  Ljubljana 

Place:  Viena, SI 

Year:  2007 

ISBN:  9783901608322 

Publisher:  ARGE Simulation News 

Keywords 

powerseries, realtime simulation, diferential equation, controller 
Annotation 

Simulation of physical systems using digital computers continues to play an ever increasing role in all aspects of today's technological society. In general the basis for simulation resides in mathematical models of the systems being simulated. In the case of continuous dynamic systems these models consist of either nonlinear ordinary or partial differential equations. The simulation of these systems and hence the simulation of the corresponding mathematical models can be accomplished by numerical integration of the differential equations. An original mathematical method which uses the Taylor series method for solving differential equations in a nontraditional way has been developed. Even though this method is not much preferred in the literature, experimental calculations have shown and theoretical analyses have verified that the accuracy and stability of the Taylor series method exceeds the currently used algorithms for numerically solving differential equations. It is the aim of the paper to adapt powerseries integration (Taylor series) to realtime simulation. In realtime digital simulation the numerical integration step size h is almost always fixed. The same is expected from corresponding powerseries integration. Actually, it may be difficult to apply the power series method to real time simulation, since the required higher derivatives of the realtime inputs will not in general be available. Furthermore, many realtime simulations involve derivative functions that are represented by multidimensional data tables rather than analytic functions. In this case the required statevariable derivatives do not exist. Adapting powerseries integration to realtime simulation in this paper is based on a model representation. The real system is driven by the model and all the control is specified in the model. Next step how to speed up simulation is to use a special digital hardware. 
BibTeX: 

@INPROCEEDINGS{
author = {Michal Kraus and Ji{\v{r}}{\'{i}} Kunovsk{\'{y}}},
title = {Adapting PowerSeries Integration to RealTime Simulation},
pages = {6},
booktitle = {Proceedings of the 6th EUROSIM Congress on Modelling and
Simulation},
series = {Ljubljana},
year = {2007},
location = {Viena, SI},
publisher = {ARGE Simulation News},
ISBN = {9783901608322},
language = {english},
url = {http://www.fit.vutbr.cz/research/view_pub.php.en.iso88592?id=8507}
} 
