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Science China Technological Sciences

, Volume 61, Issue 12, pp 1802–1813 | Cite as

Shift-characteristics and bounds of thermal performance of organic Rankine cycle based on trapezoidal model

  • XinGuo LiEmail author
  • JingYi Wang
  • XiaoSong Wu
Article

Abstract

In consideration of the constraints of actual working fluids on theoretical study of organic Rankine cycle (ORC), a trapezoidal cycle (TPC) with theoretical model to simulate ORC was proposed in previous works. In this study, mathematical models of working fluids including model of simulated saturation curve (MSSC) and model of linear saturation lines (MLSL) are proposed and built. Combining mathematical models of working fluids and TPC, the thermodynamic characteristics and principles of TPC (or ORC) can be studied or predicted theoretically. There exists a shift-curve of net power output with corresponding shift-temperature of heating fluid for working fluids, which indicates the shift of net power output from having optimum condition of maximum power to monotonic increase with evaporation temperature. This shift-characteristic is significant to working fluid selection and evaluation of cycle performance, for it indicates that cycle without optimum condition can yield higher net power output than the cycle with optimum condition. Equations to calculate the shift-temperature in ORC (or TPC) are derived; and equations to calculate the highest optimal evaporation temperature and highest maximum power as the highest optimum condition at this shift-temperature are obtained. Based on TPC and its theoretical model, the lower and upper bounds of thermal performance (maximum power and corresponding thermal efficiency) of TPC (or ORC) can be demonstrated and acquired. TPC can develop to Carnot cycle or trilateral cycle that it is significant to use TPC as a generalized cycle to study the general principles and characteristics of the cycles.

Keywords

organic Rankine cycle (ORC) trapezoidal cycle (TPC) mathematical models of working fluids shift-temperature of heating fluid for working fluid bounds of thermal performance 

References

  1. 1.
    Lecompte S, Huisseune H, van den Broek M, et al. Review of organic Rankine cycle (ORC) architectures for waste heat recovery. Renew Sustain Energy Rev, 2015, 47: 448–461CrossRefGoogle Scholar
  2. 2.
    Zhai H, Shi L, An Q. Influence of working fluid properties on system performance and screen evaluation indicators for geothermal ORC (organic Rankine cycle) system. Energy, 2014, 74: 2–11CrossRefGoogle Scholar
  3. 3.
    Hærvig J, Sørensen K, Condra T J. Guidelines for optimal selection of working fluid for an organic Rankine cycle in relation to waste heat recovery. Energy, 2016, 96: 592–602CrossRefGoogle Scholar
  4. 4.
    Wang J, Yan Z, Wang M, et al. Multi-objective optimization of an organic Rankine cycle (ORC) for low grade waste heat recovery using evolutionary algorithm. Energy Convers Manage, 2013, 71: 146–158CrossRefGoogle Scholar
  5. 5.
    Wu S, Li C, Xiao L, et al. A comparative study on thermo-economic performance between subcritical and transcritical organic Rankine cycles under different heat source temperatures. Chin Sci Bull, 2014, 59: 4379–4387CrossRefGoogle Scholar
  6. 6.
    Miao Z, Yang X, Xu J, et al. Development and dynamic characteristics of an organic Rankine cycle. Chin Sci Bull, 2014, 59: 4367–4378CrossRefGoogle Scholar
  7. 7.
    Pu W, Yue C, Han D, et al. Experimental study on organic Rankine cycle for low grade thermal energy recovery. Appl Thermal Eng, 2016, 94: 221–227CrossRefGoogle Scholar
  8. 8.
    Yang C, Xie H, Zhou S K. Overall optimization of Rankine cycle system for waste heat recovery of heavy-duty vehicle diesel engines considering the cooling power consumption. Sci China Technol Sci, 2016, 59: 309–321CrossRefGoogle Scholar
  9. 9.
    Yan J L. Thermodynamic principles and formulas for choosing working fluids and parameters in designing power plant of low temperature heat (in Chinese). J Eng Therm, 1982, 3: 1–7Google Scholar
  10. 10.
    Lee W Y, Kim S S. An analytical formula for the estimation of a Rankine-cycle heat engine efficiency at maximum power. Int J Energy Res, 1991, 15: 149–159CrossRefGoogle Scholar
  11. 11.
    Khaliq A. Finite-time heat-transfer analysis and generalized poweroptimization of an endoreversible Rankine heat-engine. Appl Energy, 2004, 79: 27–40CrossRefGoogle Scholar
  12. 12.
    He C, Liu C, Gao H, et al. The optimal evaporation temperature and working fluids for subcritical organic Rankine cycle. Energy, 2012, 38: 136–143CrossRefGoogle Scholar
  13. 13.
    Wang D, Ling X, Peng H, et al. Efficiency and optimal performance evaluation of organic Rankine cycle for low grade waste heat power generation. Energy, 2013, 50: 343–352CrossRefGoogle Scholar
  14. 14.
    Li M, Zhao B. Analytical thermal efficiency of medium-low temperature organic Rankine cycles derived from entropy-generation analysis. Energy, 2016, 106: 121–130CrossRefGoogle Scholar
  15. 15.
    Javanshir A, Sarunac N. Thermodynamic analysis of a simple organic rankine cycle. Energy, 2017, 118: 85–96CrossRefGoogle Scholar
  16. 16.
    Chen Z, Wang G, Li C. A parameter optimization method for actual thermal system. Int J Heat Mass Transfer, 2017, 108: 1273–1278CrossRefGoogle Scholar
  17. 17.
    Yang X, Xu J, Miao Z, et al. The definition of non-dimensional integration temperature difference and its effect on organic Rankine cycle. Appl Energy, 2016, 167: 17–33CrossRefGoogle Scholar
  18. 18.
    Xu J, Zheng Y, Wang Y, et al. An actual thermal efficiency expression for heat engines: Effect of heat transfer roadmaps. Int J Heat Mass Transfer, 2017, 113: 556–568CrossRefGoogle Scholar
  19. 19.
    Hansaem P, Min S K. Performance analysis of sequential Carnot cycles with finite heat sources and heat sinks and its application in organic Rankine cycles. Energy, 2016, 99: 1–9CrossRefGoogle Scholar
  20. 20.
    Garcia R F, Carril J C, Gomez J R, et al. Energy and entropy analysis of closed adiabatic expansion based trilateral cycles. Energy Convers Manage, 2016, 119: 49–59CrossRefGoogle Scholar
  21. 21.
    Curzon F L, Ahlborn B. Efficiency of a Carnot engine at maximum power output. Am J Phys, 1975, 43: 22–24CrossRefGoogle Scholar
  22. 22.
    Chen J, Yan Z, Lin G, et al. On the Curzon-Ahlborn efficiency and its connection with the efficiencies of real heat engines. Energy Convers Manage, 2001, 42: 173–181CrossRefGoogle Scholar
  23. 23.
    Chen L, Liu C, Feng H. Work output and thermal efficiency optimization for an irreversible Meletis-Georgiou cycle with heat transfer loss and internal irreversibility. Appl Thermal Eng, 2017, 126: 858–866CrossRefGoogle Scholar
  24. 24.
    Esposito M, Kawai R, Lindenberg K, et al. Efficiency at maximum power of low-dissipation Carnot engines. Phys Rev Lett, 2010, 105: 150603CrossRefGoogle Scholar
  25. 25.
    Wang J, He J. Efficiency at maximum power output of an irreversible Carnot-like cycle with internally dissipative friction. Phys Rev E, 2012, 86: 051112CrossRefGoogle Scholar
  26. 26.
    Wang Y, Tu Z C. Efficiency at maximum power output of linear irreversible Carnot-like heat engines. Phys Rev E, 2012, 85: 011127CrossRefGoogle Scholar
  27. 27.
    Guo J, Wang J, Wang Y, et al. Universal efficiency bounds of weakdissipative thermodynamic cycles at the maximum power output. Phys Rev E, 2013, 87: 012133CrossRefGoogle Scholar
  28. 28.
    Li X. A trapezoidal cycle with theoretical model based on organic Rankine cycle. Int J Energy Res, 2016, 40: 1624–1637CrossRefGoogle Scholar
  29. 29.
    Li X G, Zhao W J, Lin D D, et al. Working fluid selection based on critical temperature and water temperature in organic Rankine cycle. Sci China Technol Sci, 2015, 58: 138–146CrossRefGoogle Scholar

Copyright information

© Science in China Press and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.School of Mechanical EngineeringTianjin University, Key Laboratory of Efficient Utilization of Low and Medium Grade EnergyTianjinChina

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