Mixed Integer Nonlinear Programming model for the optimal design of fired heaters

In this paper, a mathematical optimization model for the optimal design of industrial furnaces/fired heaters is presented. Precisely, a detailed Mixed Integer Nonlinear Programming (MINLP) model including operational and geometric constraints is developed to get an efficient furnace design. Discrete...

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Bibliographic Details
Published in:Applied thermal engineering Vol. 29; no. 11; pp. 2194 - 2204
Main Authors: Mussati, Sergio, Manassaldi, Juan I., Benz, Sonia J., Scenna, Nicolas J.
Format: Journal Article
Language:English
Published: Kidlington Elsevier Ltd 01.08.2009
Elsevier
Subjects:
Applied sciences
Energy
Energy. Thermal use of fuels
Exact sciences and technology
General Algebraic Modelling System GAMS
Heat transfer
MINLP models
Optimal fired heater design
Optimization model of heat transfer equipments
Theoretical studies. Data and constants. Metering
General Algebraic Modelling System GAMS
Optimization model of heat transfer equipments
MINLP models
Optimal fired heater design
Costs
Optimization model of heat transfer
Flow rate
Tube
Shield
Industrial furnace
Non linear programming
Flexibility
Modeling
Optimization
Process conditions
Case study
Integer programming
equipments
Accuracy
Pressure drop
Fires
Mathematical model
Heat transfer
Investment
ISSN:1359-4311
Online Access:Get full text
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Summary:In this paper, a mathematical optimization model for the optimal design of industrial furnaces/fired heaters is presented. Precisely, a detailed Mixed Integer Nonlinear Programming (MINLP) model including operational and geometric constraints is developed to get an efficient furnace design. Discrete decisions connected with the geometric design such as number of tubes in convection and radiation sections, number of shield tubes, number of passes and number of tubes per pass are modelled by using integer variables. Continuous variables are used for process conditions (temperatures, flow-rates, pressure, velocities, pressure drops among others). The mathematical model and the solution procedure are implemented in General Algebraic Modelling System (GAMS), Brooke [A. Brooke, D. Kendrick, A. Meeraus, A. A. GAMS – A User’s Guide (Release 2.25), The Scientific Press, San Francisco, CA, 1992]. Based on a typical furnace configuration, several applications are successfully solved by applying the proposed MINLP model. In this paper, three case studies with increasing complexity are presented. In the first case study, the accuracy of results from the proposed model is compared satisfactorily with literature. In the second case study, the MINLP model is applied to optimize the fire heater’s efficiency. Finally, the total annual cost of the fired heater is minimized in the Case Study III. Also, a sensitive analysis of the unitary cost of fuel and capital investment is investigated. The developed model is characterized by its robustness and flexibility.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
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ISSN:1359-4311
DOI:10.1016/j.applthermaleng.2008.11.001