The variability constraints in simulation of index-2 differential-algebraic processes

被引:0
作者
Drag, Pawel [1 ]
Styczen, Krystyn [1 ]
机构
[1] Wroclaw Univ Sci & Technol, Dept Control Syst & Mechatron, Wybrzeze Wyspianskiego 27, PL-50370 Wroclaw, Poland
来源
2017 IEEE 14TH INTERNATIONAL SCIENTIFIC CONFERENCE ON INFORMATICS | 2017年
关键词
process simulation; differential-algebraic systems; variability constraints; DYNAMIC OPTIMIZATION; MODEL; DISTILLATION; REDUCTION;
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In the article a general simulation task of index-2 differential-algebraic equations (DAEs) is considered. To overcome difficulties connected with a nonlinear process dynamics, a new constraints type - the variability constraints - was introduced. The designed solution procedure is based on a multiple shooting method - it was assumed, that process dynamics in each shooting interval is constant. Therefore, the presented methodology can be treated as an extended direct shooting approach for simulation of the index-2 DAE equations with the variability constraints, which have an important practical application in various areas of applied informatics, e.g. manufacturing process modeling, simulation and optimization. Finally, the presented methodology was investigated on a two-phase reactor simulation task, which was described by the index-2 differential-algebraic equations.
引用
收藏
页码:80 / 86
页数:7
相关论文
共 29 条
[1]  
Betts JT, 2010, ADV DES CONTROL, P411
[2]  
Biegler L., 2012, DAES CONTROL OPTIMIZ, DOI [10.1137/9781611972252, DOI 10.1137/9781611972252]
[3]  
Bo Li, 2011, 2011 IEEE Power Engineering and Automation Conference (PEAM 2011), P381, DOI 10.1109/PEAM.2011.6134965
[4]   A reduced order rate based model for distillation in packed columns: Dynamic simulation and the differentiation index problem [J].
Bonilla, J. ;
Logist, F. ;
Degreve, J. ;
De Moor, B. ;
Van Impe, J. .
CHEMICAL ENGINEERING SCIENCE, 2012, 68 (01) :401-412
[5]  
Brenan KE., 1995, NUMERICAL SOLUTION I, DOI [DOI 10.1137/1.9781611971224, 10.1137/1.9781611971224., 10.1137/1.9781611971224]
[6]   SOLVING HIGHER INDEX DAE OPTIMAL CONTROL PROBLEMS [J].
Campbell, Stephen ;
Kunkel, Peter .
NUMERICAL ALGEBRA CONTROL AND OPTIMIZATION, 2016, 6 (04) :447-472
[7]   Completions of nonlinear DAE flows based on index reduction techniques and their stabilization [J].
Campbell, Stephen L. ;
Kunkel, Peter .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 233 (04) :1021-1034
[8]  
Daoutidis P., 2015, DAES MODEL REDUCTION, DOI [10.1007/978-3-319-11050-92, DOI 10.1007/978-3-319-11050-9-2]
[9]   Real-time optimization and nonlinear model predictive control of processes governed by differential-algebraic equations [J].
Diehl, M ;
Bock, HG ;
Schlöder, JP ;
Findeisen, R ;
Nagy, Z ;
Allgöwer, F .
JOURNAL OF PROCESS CONTROL, 2002, 12 (04) :577-585
[10]  
Drag P., 2015, Recent Advances in Computational Optimization, P53