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Structural-Analysis of Differential-Algebraic Equation Systems - Theory and Applications
Unger J; Kroner A; Marquardt W
1995
SourceComputers & Chemical Engineering
Volume19Issue:8Pages:867-882
English AbstractThe choice of a feasible numerical method for the solution of a Differential-Algebraic Equation (DAE) model of general type F(z, z, u) = 0 requires knowledge about its solvability, index, number and type of dynamic degrees of freedom as well as the set of equations to be satisfied by consistent initial conditions. Furthermore, a set of design quantities has to be specified. Important properties of DAEs are concisely defined and related among each other. A new structural algorithm which determines structural properties of DAEs is developed and compared to another conceptually different structural algorithm proposed earlier by Pantelides [(1988) SIAM J. Sci. Stat. Comput. 9, 213-231]. Both algorithms were implemented as structural analysis tools to provide a fast a priori characterization of general DAEs F(z, z, u) = 0 prior to any numerical solution. Some examples illustrate how the information obtained can be used to address various significant issues in process modelling, simulation, and in the evaluation of control configurations for nonlinear systems.
Indexed Type其他
Cooperation Status其它
KeywordChemical Process Systems Consistent Initialization Dynamic Simulation Index Analysis Algorithm
Language英语
Content Type期刊论文
URIhttp://ir.iscas.ac.cn/handle/311060/1316
Collection中国科学院软件研究所
Recommended Citation
GB/T 7714
Unger J,Kroner A,Marquardt W. Structural-Analysis of Differential-Algebraic Equation Systems - Theory and Applications[J]. Computers & Chemical Engineering,1995,19(8):867-882.
APA Unger J,Kroner A,&Marquardt W.(1995).Structural-Analysis of Differential-Algebraic Equation Systems - Theory and Applications.Computers & Chemical Engineering,19(8),867-882.
MLA Unger J,et al."Structural-Analysis of Differential-Algebraic Equation Systems - Theory and Applications".Computers & Chemical Engineering 19.8(1995):867-882.
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