Simulation of system models containing zero-order causal paths - II. Numerical implications of class 1 zero-order causal paths

Dijk van, J. and Breedveld, P.C. (1991) Simulation of system models containing zero-order causal paths - II. Numerical implications of class 1 zero-order causal paths. Journal of the Franklin Institute, 328 (5-6). pp. 981-1004. ISSN 0016-0032

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Abstract:	In Part I (J. Franklin Inst., Vol. 328, No. 5/6, pp. 959–979, 1991) the proposition that the existence of zero-order causal paths in bond graphs of physical systems implies the set of state equations to be an implicit mixed set of Differential and Algebraic Equations (DAEs) was discussed. Zero-order causal paths have been classified. In Part II, a number of different ways to deal with class 1 zero-order causal paths is discussed. Simulation results of class 1 zero-order causal path elimination methods are compared to the straightforward numerical solution of the DAEs by methods commonly used for solving stiff systems of Ordinary Differential Equations (ODEs). The comparison is based both on the computational speed and on the accuracy of the simulation of two benchmark models of nonlinear mechanical systems.
Item Type:	Article
Copyright:	© 1991 Elsevier
Faculty:	Engineering Technology (CTW) Electrical Engineering, Mathematics and Computer Science (EEMCS)
Research Group:	Mechanical Automation and Mechatronics Robotics and Mechatronics (CE)
Link to this item:	http://purl.utwente.nl/publications/72925
Official URL:	http://dx.doi.org/10.1016/0016-0032(91)90065-B
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