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9125;⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎦⎤⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎣⎡→⎥⎦⎤⎢⎣⎡hxnnxhyhPPTxyALVLVALsatBsatA&&&&&orM-1shows more dependency information than Jand whenODE derivates can be solved explicitly.5% step in reboilerduty050010001500200025003000350040000.0650.070.0750.080.0850.090.0950.1Bottoms Composition (
xA)Time (sec)DAE - 285 statesODE - 52 states ODE - 26 states The ODE model with 52 states retains physically meaningful variables. Model reduction (52 down to 26 states) with nonlinear balancing does not.Original Model Physically Reduced Nonlinear BalancingMore Information:
[1] Borutsky, W. and F. E. Cellier. Tearing in Bond Graphs with DepedentStorage Elements. CESA’96, IMACS MultiConferenceon Computational Engineering in Systems Applications, Lille, France, 1, pp. 1113-1119 (1996).[2] Bosley, J. R. An Experimental Investigation of Modeling, Control, andOptimization Techniques for Batch Distillation, Dissertation, The University of Texas at Austin (1994).[3] Carpanzano, E. Order Reduction of General Nonlinear DAE Systems by Automatic Tearing. Mathematical and Computer Modellingof Dynamical Systems, 6, No. 2, pp. 145-168 (2000).[4] Hangos, K. M. and I. T. Cameron. Process Modellingand Model Analysis, Process Systems Engineering, 4, Academic Press, San Diego (2001).[5] Otter, M., Elmqvist, H., and F. E. Cellier. “Relaxing”–A Symbolic Sparse Matrix Method Exploiting the Model Structure in Generating Efficient Simulation Code. CESA’96, IMACS MultiConferenceon Computational Engineering in Systems Applications, 数学建模论文Lille, France, 1, pp. 1-12 (1996).[6] Tarjan, R. Depth first search and linear graph algorithms. SIAM Journal on Computing, 1, pp. 146-160 (1972)本论文由英语论文网提供整理，提供论文代写，英语论文代写，代写论文，代写英语论文，代写留学生论文，代写英文论文，留学生论文代写相关核心关键词搜索。