Mixed Integer Nonlinear Programming model for the optimal design of fired heaters |
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| Authors: | Sergio Mussati Juan I. Manassaldi Sonia J. Benz Nicolas J. Scenna |
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| Affiliation: | 1. Universidad Tecnológica Nacional UTN-FRRo., Zeballos 1341, S2000BQA, Rosario, Argentina;2. INGAR/CONICET, Instituto de Desarrollo y Diseño, Avellaneda 3657, 3000 Santa Fe, Argentina;1. Department of Automation and Tsinghua National Laboratory for Information Science and Technology, Tsinghua University, Beijing 100084, China;2. Institute for Ocean Engineering, China University of Petroleum, Beijing 102249, China;3. Department of Information and Automation, Hesteel Tangsteel Group, Tangshan 063000, China;4. Department of Chemical and Process Engineering, University of Surrey, Guildford GU2 7XH, UK;1. Department of Building Services Engineering, The Hong Kong Polytechnic University, Kowloon, Hong Kong;2. Division of Building Science and Technology, City University of Hong Kong, Kowloon, Hong Kong;1. University of Waterloo, 200 University Avenue West, Waterloo, ON, Canada N2L3G1;2. The Petroleum Institute, Abu Dhabi, United Arab Emirates;1. Department of Mechanical Engineering, Amirkabir University of Technology, Tehran, Iran;2. Department of Mechanical Engineering, Faculty of Engineering, Ferdowsi University of Mashhad, Mashhad, Iran;3. Department of Mechanical Engineering, University of Dayton, Dayton, United States |
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| Abstract: | 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. |
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