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Mathematical modelling and optimization of the liquid separation condenser used in organic Rankine cycle

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  • Luo, Xianglong
  • Yi, Zhitong
  • Zhang, Bingjian
  • Mo, Songping
  • Wang, Chao
  • Song, Mengjie
  • Chen, Ying

Abstract

Liquid separation condenser (LSC) is a newly developed fin-and-tube condenser. It is superior to other traditional condenser because of its relatively low pressure drop without reducing heat transfer coefficient. It is suitable to be used in the organic Rankine cycle. However, the design of LSC is a very complex and time consuming task base on traditional methods. In this study, a new modelling, simulation and optimization methodology for LSC design is developed. A pass-by-pass tube side modelling method is proposed. An equivalent heat transfer coefficient and total pressure drop are defined, modelled and validated. Then, a mathematical model containing multiple continuous and discrete variables for the optimal design of LSC is developed. The main continuous variables are tube length, pressure drops, fluid velocity, air velocity, heat transfer area, and outlet air temperature. The main discrete variables are the type selection of finned-tubes, number of passes, number of tubes per pass, fin number per unit tube length. The objective function is the minimization of the total cost, which is the best trade-off between the heat transfer coefficient and the pressure drop. The resulting model is a non-convex mixed integer non-linear programming (MINLP) model. A solving strategy that integrates model relaxation, solver selection, and tube-pass scheme initialization is proposed. Two case studies are elaborated to test the effectiveness of the proposed methodology. Comparison of the optimization results with base case reveals that the proposed methodology can be successfully applied to the design optimization of LSC. The influences of pass number, fin number, tube–fin type, tube number, and investment cost on the optimization results are also discussed.

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  • Luo, Xianglong & Yi, Zhitong & Zhang, Bingjian & Mo, Songping & Wang, Chao & Song, Mengjie & Chen, Ying, 2017. "Mathematical modelling and optimization of the liquid separation condenser used in organic Rankine cycle," Applied Energy, Elsevier, vol. 185(P2), pages 1309-1323.
    • Handle: RePEc:eee:appene:v:185:y:2017:i:p2:p:1309-1323
    DOI: 10.1016/j.apenergy.2015.12.073
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    1. Yang, Minlin & Yang, Xiaoxi & Yang, Xiaoping & Ding, Jing, 2010. "Heat transfer enhancement and performance of the molten salt receiver of a solar power tower," Applied Energy, Elsevier, vol. 87(9), pages 2808-2811, September.
    2. Zhong, Tianming & Chen, Ying & Hua, Nan & Zheng, Wenxian & Luo, Xianglong & Mo, Songping, 2014. "In-tube performance evaluation of an air-cooled condenser with liquid–vapor separator," Applied Energy, Elsevier, vol. 136(C), pages 968-978.
    3. Lecompte, S. & Huisseune, H. & van den Broek, M. & De Schampheleire, S. & De Paepe, M., 2013. "Part load based thermo-economic optimization of the Organic Rankine Cycle (ORC) applied to a combined heat and power (CHP) system," Applied Energy, Elsevier, vol. 111(C), pages 871-881.
    4. Hua, Nan & Chen, Ying & Chen, Erxiong & Deng, Lisheng & Zheng, Wenxian & Yang, Zhen, 2013. "Prediction and verification of the thermodynamic performance of vapor–liquid separation condenser," Energy, Elsevier, vol. 58(C), pages 384-397.
    5. Wang, Jiangfeng & Yan, Zhequan & Wang, Man & Ma, Shaolin & Dai, Yiping, 2013. "Thermodynamic analysis and optimization of an (organic Rankine cycle) ORC using low grade heat source," Energy, Elsevier, vol. 49(C), pages 356-365.
    6. Vélez, Fredy & Segovia, José J. & Martín, M. Carmen & Antolín, Gregorio & Chejne, Farid & Quijano, Ana, 2012. "A technical, economical and market review of organic Rankine cycles for the conversion of low-grade heat for power generation," Renewable and Sustainable Energy Reviews, Elsevier, vol. 16(6), pages 4175-4189.
    7. Doodman, A.R. & Fesanghary, M. & Hosseini, R., 2009. "A robust stochastic approach for design optimization of air cooled heat exchangers," Applied Energy, Elsevier, vol. 86(7-8), pages 1240-1245, July.
    8. Wang, Junye, 2009. "Experimental investigation of the transient thermal performance of a bent heat pipe with grooved surface," Applied Energy, Elsevier, vol. 86(10), pages 2030-2037, October.
    9. Sanaye, Sepehr & Dehghandokht, Masoud, 2011. "Modeling and multi-objective optimization of parallel flow condenser using evolutionary algorithm," Applied Energy, Elsevier, vol. 88(5), pages 1568-1577, May.
    10. Gholap, A.K. & Khan, J.A., 2007. "Design and multi-objective optimization of heat exchangers for refrigerators," Applied Energy, Elsevier, vol. 84(12), pages 1226-1239, December.
    11. Quoilin, Sylvain & Broek, Martijn Van Den & Declaye, Sébastien & Dewallef, Pierre & Lemort, Vincent, 2013. "Techno-economic survey of Organic Rankine Cycle (ORC) systems," Renewable and Sustainable Energy Reviews, Elsevier, vol. 22(C), pages 168-186.
    12. Xi, Huan & Li, Ming-Jia & Xu, Chao & He, Ya-Ling, 2013. "Parametric optimization of regenerative organic Rankine cycle (ORC) for low grade waste heat recovery using genetic algorithm," Energy, Elsevier, vol. 58(C), pages 473-482.
    13. Chen, Qicheng & Xu, Jinliang & Chen, Hongxia, 2012. "A new design method for Organic Rankine Cycles with constraint of inlet and outlet heat carrier fluid temperatures coupling with the heat source," Applied Energy, Elsevier, vol. 98(C), pages 562-573.
    14. Manassaldi, Juan I. & Scenna, Nicolás J. & Mussati, Sergio F., 2014. "Optimization mathematical model for the detailed design of air cooled heat exchangers," Energy, Elsevier, vol. 64(C), pages 734-746.
    15. Hadidi, Amin, 2015. "A robust approach for optimal design of plate fin heat exchangers using biogeography based optimization (BBO) algorithm," Applied Energy, Elsevier, vol. 150(C), pages 196-210.
    Full references (including those not matched with items on IDEAS)

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    5. Yi, Zhitong & Luo, Xianglong & Chen, Jianyong & Chen, Ying, 2017. "Mathematical modelling and optimization of a liquid separation condenser-based organic Rankine cycle used in waste heat utilization," Energy, Elsevier, vol. 139(C), pages 916-934.
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    9. Pei Lu & Zheng Liang & Xianglong Luo & Yangkai Xia & Jin Wang & Kaihuang Chen & Yingzong Liang & Jianyong Chen & Zhi Yang & Jiacheng He & Ying Chen, 2023. "Design and Optimization of Organic Rankine Cycle Based on Heat Transfer Enhancement and Novel Heat Exchanger: A Review," Energies, MDPI, vol. 16(3), pages 1-34, January.
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