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Improving the Mathematical Formulation for the Detailed Scheduling of Refined Products Pipelines by Accounting for Flow Rate Dependent Pumping Costs

DOI: http://dx.doi.org/10.13084/2175-8018.v05n10a09

http://www.incubadora.ufsc.br/index.php/IJIE/index 

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Vanina G. Cafaro1, Diego C. Cafaro2 & Jaime Cerdá3

 

Abstract: This work presents a continuous-time mixed-integer linear programming (MILP) formulation to find the best detailed schedule for single-source multi-product pipelines, minimizing the total operating costs. By knowing the aggregate plan including pumping and delivery tasks, the best detailed solution tends to minimize pump stoppage/restart costs as well as pumping energy charges associated to the head loss inside the pipeline, which are strongly dependent on the flow rate at every pipeline segment. Pumping costs for transporting products into the pipeline are estimated by introducing a novel piecewise linear calculation of the energy loss. The proposed approach is applied to find the optimal detailed schedule for a real-world case study consisting of a single source pipeline with multiple offtake stations. Important reductions in the operational costs with regards to previous contributions are obtained.

Key words: approach. Detailed scheduling. Multiproduct pipeline. Friction head loss

 

1 Dra. en Ingeniería, Ingeniera Industrial, Instituto de Desarrollo Tecnológico para la Industria Química, Universidad Nacional del Litoral, Consejo Nacional de Investigaciones Científicas y Técnicas (INTEC, UNL-CONICET), Güemes 3450, (3000) Santa Fe, Argentina. E-mail: vcafaro@fiq.unl.edu.ar.
2 Dr. en Tecnología Química, Ingeniero Industrial Instituto de Desarrollo Tecnológico para la Industria Química, Universidad Nacional del Litoral, Consejo Nacional de Investigaciones Científicas y Técnicas (INTEC, UNL-CONICET), Güemes 3450, (3000) Santa Fe, Argentina. E-mail: dcafaro@fiq.unl.edu.ar.
3 Ph.D., Ingeniero Químico, Instituto de Desarrollo Tecnológico para la Industria Química, Universidad Nacional del Litoral, Consejo Nacional de Investigaciones Científicas y Técnicas (INTEC, UNL-CONICET), Güemes 3450, (3000) Santa Fe, Argentina. E-mail: jcerda@intec.unl.edu.ar.

 

Literatura Citada

CAFARO, D.C.; CERDÁ, J. Dynamic Scheduling of Multiproduct Pipelines with Multiple Delivery Due Dates. Computers and Chemical Engineering, v. 32, p. 728-753, 2008. http://dx.doi.org/10.1016/j.compchemeng.2007.03.002

CAFARO, V.G.; CAFARO, D.C.; MÉNDEZ C.A.; CERDÁ, J. Detailed Scheduling of Single-Source Pipelines with Simultaneous Deliveries to Multiple Offtake Stations. Industrial and Engineering Chemistry Research, v. 51, p. 6145-6165, 2012. http://dx.doi.org/10.1021/ie202520a

COLEBROOK, C.F.; WHITE, C. M. Experiments with fluid friction in roughened pipes. Proceedings…, of the Royal Society of London. Series A, Mathematical and Physical Sciences, v. 161, n. 906, p. 367-381, 1937. http://dx.doi.org/10.1098/rspa.1937.0150

LIANG, Y.T.; GONG J.; KANG, Z.L. Research on operation optimization of multi-product pipeline. Proceeding…, of the ASME International Pipeline Conference, 4-8 October 2004, Calgary, Alberta, Canada, p. 2055-2060, 2004. http://dx.doi.org/10.1115/ipc2004-0597

MIESNER, T.O.; LEFFLER, W.L. Oil & gas pipelines in nontechnical language. Pennwell: Tulsa, USA, 2006.

REJOWSKI, R.; PINTO, J.M. A novel continuous time representation for the scheduling of pipeline systems with pumping yield rate constraints. Computers and Chemical Engineering, v. 32, p. 1042-1066, 2008. http://dx.doi.org/10.1016/j.compchemeng.2007.06.021

REJOWSKI, R.; PINTO, J.M. Scheduling of a Multiproduct Pipeline System. Computers and Chemical Engineering, v. 27, p. 1229-1246, 2003. http://dx.doi.org/10.1016/S0098-1354(03)00049-8