The Sequential-Clustered Method for Dynamic Chemical Plant Simulation
Con~purers them. Engng, Vol. 14, No. 2. pp. 161-177, 1990 0098-I 354/90 %3.00 + 0.00 Printed an Great Britain. All rights reserved Copyright 6 1990 Pergamon Press plc THE SEQUENTIAL-CLUSTERED METHOD FOR DYNAMIC CHEMICAL PLANT SIMULATION J. C. FAGLEY’ and B. CARNAHAN* ‘B. P. America Research and Development Co., Cleveland, OH 44128, U.S.A. ‘Department of Chemical Engineering, The University of Michigan, Ann Arbor, Ml 48109, U.S.A. (Rrreiwd 28 May 1987; final revision received 26 June 1989; received for publicarion 11 July 1989) Abstract-We describe the design, development and testing of a prototype simulator to study problems associated with robust and efficient solution of dynamic process problems, particularly for systems with models containing moderately to very stiff ordinary differential equations and associated algebraic equations. A new predictor-corrector integration strategy and modular dynamic simulator architecture allow for simultaneous treatment of equations arising from individual modules (equipment units), clusters of modules, or in the limit, all modules associated with a process. This “sequential-clustered” method allows for sequential and simultaneous modular integration as extreme cases. Testing of the simulator using simple but nontrivial plant models indicates that the clustered integration strategy is often the best choice, with good accuracy, reasonable execution time and moderate storage requirements. INTRODUCTION simulator and includes results of tests on simulator performance. Direct numerical comparisons of Two major stumbling blocks in the development alternative integration strategies are given for some of robust dynamic chemical process simulators are: relatively simple test plants. Conclusions and recom- (1) mathematical models for many important equip- mendations drawn from our experiences should be ment types give rise to quite large systems of ordinary of interest to other workers developing dynamic differential equations (ODES); and (2) these ODE simulation software.
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