“Modular Integration Methods for Simulation of Large-Scale Dynamic Systems”

Authors: Coleman B. Brosilow, Yin-Chang Liu, Jeffrey Cook and John Klatt,
Affiliation: Case Western Reserve University, USA
Reference: 1985, Vol 6, No 3, pp. 153-179.

Keywords: Modular, simulation, dynamic, parallel processing, coordination, integration

Abstract: Modular simulation of dynamic systems offers the possibility of computational speed through parallel processing of individual sub-systems and through the use of the best integration algorithms for each sub-system. Such simulation needs co-ordination algorithms to keep the various sub-systems in time synchronization and to compute the interconnection between the sub-systems. A mathematical description of the co-ordination problem leads to the development of several new algorithms. These new algorithms are shown to have desirable convergence and stability properties. In particular a new Newton type algorithm is A-stable in a sense similar to that defined for ordinary integration algorithms.

PDF PDF (3451 Kb)        DOI: 10.4173/mic.1985.3.4

DOI forward links to this article:
[1] Wolfgang Marquardt, Peter Holl, Ernst Dieter Gilles and Dieter Butz (1987), doi:10.1002/ceat.270100121
[2] Nina Enaasen, Andrew Tobiesen, Hanne M. Kvamsdal and Magne Hillestad (2013), doi:10.1016/j.egypro.2013.06.042
[3] Arne Tyssø (1985), doi:10.4173/mic.1985.3.2
[4] John D. Perkins (1986), doi:10.4173/mic.1986.2.2
[5] M. Hillestad and T. Hertzberg (1988), doi:10.1016/0098-1354(88)85056-7
[6] Hubert B. Keller (1987), doi:10.1007/978-3-642-73000-9_26
[7] Hubert B. Keller (1988), doi:10.1007/978-3-642-74127-2_16
References:
[1] BALLARD, D.M. (1979). Dynamic Simulation of Distillation, M.S. Thesis, Department of Chemical Engineering, Case Western Reserve University, Cleveland, Ohio, August.
[2] BALLARD, D.M., BROSILOW, C.B., KAHN, C., (1978). Dynamic Simulation of Multi-component Distillation Columns, presented at the AIChE Meeting, Miami Beach, Florida, November.
[3] BARNEY, J.R., AHLUWALIA, R.S., JOHNSON, A.I. (1975). DYNSY 2, 0 User´s Manual. University of Western Ontario, London, Ontario, Canada.
[4] BARNEY, J.R., JOHNSON, A.I., (1975). DYNSYS 2, 0 Systems Manual. University of Western Ontario, Canada.
[5] COOK, W.J. (1980). A Modular Dynamic Simulator for Distillation Systems, M.S. Thesis, Case Western Reserve University.
[6] COOK, W.J., BROSILOW, C. (1980). A Modular Dynamic Simulator for Distillation Systems, presented at the 73rd Annual AIChE Meeting, Chicago, November.
[7] DIBIANO, R. (1981). Importance of versatile control strategy on crude unit, Chemical Engineering Processes.
[8] EXXON (1976). Modular Dynamic Distillation Control Model, MODCOMP. Version 1.0, EXXON Program 36985.
[9] GEAR, C. (1971). Numerical Initial Value Problems in Ordinary Differential Equations, Section 9.3,.Prentice-Hall, New Jersey.
[10] GOMM, W. (1981). Stability analysis of explicit multirate methods, Mathematics and Computers in Simulation, 23, 34-50 doi:10.1016/0378-4754(81)90005-7
[11] IBM (1972). Continuous System Modelling Program CSMP 1, 3. IBM Program No. H20-0367-3.
[12] KLATT, J.H. (1983). The Application of a Modular, Dynamic Simulator to a Crude Distillation Unit, M.S. Thesis, Case Western Reserve University.
[13] KLATT, J.H., BROSILOW, C. (1984). Simulating the Dynamics of a Crude Unit, presented at the 1984 SCSC Boston, July.
[14] LIU, Y.C. (1983). Development and Analysis of Coordination Algorithms for Interacting Dynamic Systems, Ph.D. Thesis, Case Western Reserve University.
[15] LIU, Y.C., BROSILOW, C. (1983). Modular Integration Methods for Simulation of Large Scale Dynamic Systems, presented at the 75th Annual AIChE Meeting, Washington, D.C., November.
[16] MILLER, J. (1978). A Software-Generated Interface for Connecting Independent Continuous System-Simulators, Ph.D. Thesis, Case Western Reserve University.
[17] PERKINS, J.D., SARGENT, R.W.H. (1982). SPEEDUP: A Computer Program for Steady State and Dynamic Simulation and Design of Chemical Processes, AIChE Symposium Series Vol 78, No 214.
[18] SANSOM, F.J., PETERSON, H.E. (1965). MIMIC A Digital Simulation Program, SESCA International Memo 65-12, Wright-Paterson Air Force Base, Ohio, May.


BibTeX:
@article{MIC-1985-3-4,
  title={{Modular Integration Methods for Simulation of Large-Scale Dynamic Systems}},
  author={Brosilow, Coleman B. and Liu, Yin-Chang and Cook, Jeffrey and Klatt, John},
  journal={Modeling, Identification and Control},
  volume={6},
  number={3},
  pages={153--179},
  year={1985},
  doi={10.4173/mic.1985.3.4},
  publisher={Norwegian Society of Automatic Control}
};