Using new packages for modelling, equation oriented simulation and optimization of a cogeneration plant

Abstract The development and testing of an equation-oriented (EO) mathematical model for the optimization of heat and power systems using a new state-of-the-art sequential quadratic programming (SQP) method called filterSQP has been reported in an earlier paper. The model has been extended to include combined cycle cogeneration plants (CCCPs), the economic optimization of which involves adding equipment investment, cost functions and operating cost models to the stream and unit operation models of the earlier paper. These systems are of substantial industrial interest and are substantially larger than those in Rodriguez-Toral et al., Computers and Chemical Engineering, August 2000. Their size and complexity required the use of a new flexible modelling system (FMS) recently created within our research group. FMS can be used to set up large systems of equations, create networks to be modelled and give starting guesses easily for problems of any size. Also, FMS is able to interact with solvers for EO simulation and optimization, which have been developed here and elsewhere. A number of EO simulation and optimization examples, from simple unit operations to a whole real cogeneration plant involving a commercial gas turbine with 1275 variables and equations, are used to demonstrate the applicability of the CCCP model and the modelling package.

[1]  Mark A. Stadtherr,et al.  Parallel frontal solver for large-scale process simulation and optimization , 1997 .

[2]  Arthur W. Westerberg,et al.  Thoughts on a future equation-oriented flowsheeting system☆ , 1985 .

[3]  Enrico Sciubba,et al.  A computational, modular approach to the simulation of powerplants , 1995 .

[4]  Peter Piela.  Ascend: an object-oriented computer environment for modeling and analysis , 1989 .

[5]  P. L. Dhar,et al.  COMPUTER SIMULATION OF A COMBINED CYCLE POWER PLANT , 1995 .

[6]  A. M. Al Taweel,et al.  Modeling of heat recovery steam generator performance , 1997 .

[7]  Luis Otávio Aleotti Maia,et al.  Synthesis of utility systems by simulated annealing , 1995 .

[8]  W. Gerrard,et al.  Solubility of Gases in Liquids: A Critical Evaluation of Gas/Liquid Systems in Theory and Practice , 1991 .

[9]  Arthur W. Westerberg,et al.  Decomposition of very large-scale Newton-Raphson based flowsheeting problems , 1978 .

[10]  R. Fletcher,et al.  Resolving degeneracy in quadratic programming , 1993, Ann. Oper. Res..

[11]  Miguel Angel Rodriquez-Toral.  Synthesis and optimisation of large-scale utility systems , 1999 .

[12]  Sven Leyffer,et al.  Nonlinear programming without a penalty function , 2002, Math. Program..

[13]  V. Ganapathy,et al.  Waste heat boiler deskbook , 1991 .

[14]  David Riach Mitchell.  Modelling environments for large scale process system problems , 2000 .

[15]  Yousef S.H. Najjar,et al.  Combined cycles with gas turbine engines , 1994 .

[16]  Mark A. Stadtherr,et al.  On solving large sparse nonlinear equation systems , 1984 .

[17]  J. J. Tuzson,et al.  Status of Steam-Injected Gas Turbines , 1992 .

[18]  David J. Huber,et al.  A combined cycle designed to achieve greater than 60 percent efficiency , 1994 .

[19]  A. Prothero.  Computing with thermochemical data , 1969 .

[20]  Mark A. Stadtherr,et al.  Sparse matrix methods for equation-based chemical process flowsheeting. I , 1984 .

[21]  W. Morton,et al.  An equation analyser for process models , 1998 .

[22]  W. Morton,et al.  The use of new SQP methods for the optimization of utility systems , 2001 .

[23]  W. Morton,et al.  Step restriction for a bounded Newton's method , 2001 .

[24]  Ignacio E. Grossmann,et al.  A structural optimization approach in process synthesis—I: Utility systems , 1983 .

[25]  J.E.A. Roy-Aikins.  An investigation of the factors that determine the attractiveness of cogeneration , 1995 .

[26]  R. M. Fristrom,et al.  Flames, their structure, radiation and temperature , 1960 .