RESEARCH ARTICLE

Optimization of the power, efficiency and ecological function for an air-standard irreversible Dual-Miller cycle

  • Zhixiang WU ,
  • Lingen CHEN ,
  • Yanlin GE ,
  • Fengrui SUN
Expand
  • Institute of Thermal Science and Power Engineering, Naval University of Engineering, Wuhan 430033, China; Military Key Laboratory for Naval Ship Power Engineering, Naval University of Engineering, Wuhan 430033, China; College of Power Engineering, Naval University of Engineering, Wuhan 430033, China

Received date: 06 Jun 2017

Accepted date: 04 Sep 2017

Published date: 15 Sep 2019

Copyright

2018 Higher Education Press and Springer-Verlag GmbH Germany, part of Springer Nature

Abstract

This paper establishes an irreversible Dual-Miller cycle (DMC) model with the heat transfer (HT) loss, friction loss (FL) and other internal irreversible losses. To analyze the effects of the cut-off ratio (ρ) and Miller cycle ratio (rM) on the power output (P), thermal efficiency (η) and ecological function (E), obtain the optimal ρopt and optimal rMopt, and compare the performance characteristics of DMC with its simplified cycles and with different optimization objective functions, the P, η and E of irreversible DMC are analyzed and optimized by applying the finite time thermodynamic (FTT) theory. Expressions of P, η and E are derived. The relationships among P, η, E and compression ratio (ε) are obtained by numerical examples. The effects of ρ and rM on P, η, E, maximum power output (MP), maximum efficiency (MEF) and maximum ecological function (ME) are analyzed. Performance differences among the DMC, the Otto cycle (OC), the Dual cycle (DDC), and the Otto-Miller cycle (OMC) are compared for fixed design parameters. Performance characteristics of irreversible DMC with the choice of P, η and E as optimization objective functions are analyzed and compared. The results show that the irreversible DMC engine can reach a twice-maximum power, a twice-maximum efficiency, and a twice-maximum ecological function, respectively. Moreover, when choosing E as the optimization objective, there is a 5.2% of improvement in η while there is a drop of only 2.7% in P compared to choosing P as the optimization objective. However, there is a 5.6% of improvement in P while there is a drop of only 1.3% in η compared to choosing as the optimization objective.

Cite this article

Zhixiang WU , Lingen CHEN , Yanlin GE , Fengrui SUN . Optimization of the power, efficiency and ecological function for an air-standard irreversible Dual-Miller cycle[J]. Frontiers in Energy, 2019 , 13(3) : 579 -589 . DOI: 10.1007/s11708-018-0557-z

Acknowledgments

This paper is supported by the National Natural Science Foundation of China (Grant No. 51576207).
1
Andresen B. Finite-time thermodynamics. In: Lebon G, Jou D, Gasas-Vázquez J, eds. Understanding Non-equilibrium Thermodynamics. Berlin: Springer Berlin Heidelberg, 2008, 90(5): 113–134

2
Berry R S, Kazakov V A, Sieniutycz S, Szwast Z, Tsirlin A M. Thermodynamic Optimization of Finite Time Processes. Chichester: Wiley, 1999

3
Chen L G, Wu C, Sun F R. Finite time thermodynamic optimization or entropy generation minimization of energy systems. Journal of Non-Equilibrium Thermodynamics, 1999, 24(4): 327–359

DOI

4
Wu C, Chen L G, Chen J C. Recent Advances in Finite Time Thermodynamics. New York: Nova Science Publishers, 1999

5
Chen L G, Sun F R. Advances in Finite Time Thermodynamics: Analysis and Optimization. New York: Nova Science Publishers, 2004

6
Durmayaz A, Sogut O S, Sahin B, Yavuz H. Optimization of thermal systems based on finite-time thermodynamics and thermoeconomics. Progress in Energy and Combustion Science, 2004, 30(2): 175–217

DOI

7
Chen L G. Finite-Time Thermodynamic Analysis of Irreversible Processes and Cycles. Beijing: Higher Education Press, 2005 (in Chinese)

8
Bejan A. Entropy generation minimization: the new thermodynamics of finite-size device and finite-time processes. Journal of Applied Physics, 1996, 79(3): 1191–1218

DOI

9
Andresen B. Current trends in finite-time thermodynamics. Angewandte Chemie, 2011, 50(12): 2690–2704

DOI

10
Chen L G, Feng H J, Xie Z H. Generalized thermodynamic optimization for iron and steel production processes: Theoretical exploration and application cases. Entropy (Basel, Switzerland), 2016, 18(10): 353

DOI

11
Açıkkalp E, Yamik H. Limits and optimization of power input or output of actual thermal cycles. Entropy (Basel, Switzerland), 2013, 15(8): 3309–3338

12
Açıkkalp E, Yamık H. Modeling and optimization of maximum available work for irreversible gas power cycles with temperature dependent specific heat. Journal of Non-Equilibrium Thermodynamics, 2015, 40(1): 25–39

DOI

13
Gonca G, Sahin B. Thermo-ecological performance analysis of a Joule-Brayton cycle (JBC) turbine with considerations of heat transfer losses and temperature-dependent specific heats. Energy Conversion and Management, 2017, 138: 97–105

DOI

14
Gonca G, Sahin B, Ust Y, Parlak A. Comprehensive performance analyses and optimization of the irreversible thermodynamic cycle engines (TCE) under maximum power (MP) and maximum power density (MPD) conditions. Applied Thermal Engineering, 2015, 85: 9–20

DOI

15
Ust Y, Arslan F, Ozsari I, Cakir M. Thermodynamic performance analysis and optimization of DMC (Dual Miller Cycle) cogeneration system by considering exergetic performance coefficient and total exergy output criteria. Energy, 2015, 90: 552–559

DOI

16
Açıkkalp E. Exergetic sustainability evaluation of irreversible Carnot refrigerator. Physica A, 2015, 436: 311–320

DOI

17
Ahmadi M H, Ahmadi M A, Aboukazempour E, Grosu L, Pourfayaz E, Bidi M. Exergetic sustainability evaluation and optimization of an irreversible Brayton cycle performance. Frontiers in Energy, 2017

18
Özel G, Açıkkalp E, Savas A F, Yamık H. Comparative analysis of thermoeconomic evaluation criteria for an actual heat engine. Journal of Non-Equilibrium Thermodynamics, 2016, 41(3): 225–235

DOI

19
Özel G, Açıkkalp E, Savaş A F, Yamık H. Novel thermoenvironmental evaluation criteria and comparing them for an actual heat engine. Energy Conversion and Management, 2015, 106: 1118–1123

DOI

20
Açikkalp E. Models for optimum thermo-ecological criteria of actual thermal cycles. Thermal Science, 2013, 17(3): 915–930

DOI

21
Salamon P, Nulton J D, Siragusa G, Andersen T R, Limon A. Principles of control thermodynamics. Energy, 2001, 26(3): 307–319

DOI

22
Hoffmann K H, Burzler J, Fischer A, Schaller M, Schubert S. Optimal process paths for endoreversible systems. Journal of Non-Equilibrium Thermodynamics, 2003, 28(3): 233–268

DOI

23
Sieniutycz S, Jezowski J. Energy Optimization in Process Systems and Fuel Cells. Oxford: Elsevier, 2013

24
Chen L G, Xia S J. Generalized Thermodynamic Dynamic-Optimization for Irreversible Processes. Beijing: Science Press, 2016 (in Chinese)

25
Chen L G, Xia S J, Li J. Generalized Thermodynamic Dynamic-Optimization for Irreversible Cycles. Beijing: Science Press, 2016 (in Chinese)

26
Andresen B, Berry R S, Ondrechen M J, Salamon P. Thermodynamics for processes in finite time. Accounts of Chemical Research, 1984, 17(8): 266–271

DOI

27
Curzon F L, Ahlborn B. Efficiency of a Carnot engine at maximum power output. American Journal of Physics, 1975, 43(1): 22–24

DOI

28
Li J, Chen L G, Ge Y L, Sun F R. Progress in the study on finite time thermodynamic optimization for direct and reverse two-heat-reservoir thermodynamic cycles. Acta Physica Sinica, 2013, 62(13): 130501 (in Chinese)

29
Ahmadi M H, Ahmadi M A, Sadatsakkak S A. Thermodynamic analysis and performance optimization of irreversible Carnot refrigerator by using multi-objective evolutionary algorithms (MOEAs). Renewable & Sustainable Energy Reviews, 2015, 51: 1055–1070

DOI

30
Açıkkalp E, Yamık H, İçingür Y. Performance of a compression ignition engine operated with sunflower ethyl ester under different engine loads. Journal of Energy in Southern Africa, 2014, 25(2): 81–90

31
Yamık H, Özel G, Açıkkalp E, İçingür Y. Thermodynamic analysis of diesel engine with sunflower biofuel. Proceeding of the ICE-Energy, 2015, 168(3): 178–187

DOI

32
Açıkkalp E. Methods used for evaluation of actual power generating thermal cycles and comparing them. International Journal of Electrical Power & Energy Systems, 2015, 69: 85–89

DOI

33
Zheng S Y. Unified cycle model of a class of internal combustion engines and their optimum performance characteristics. Frontiers in Energy, 2011, 5(4): 367–375

DOI

34
Qin X Y, Chen L G, Ge Y L, Sun F R. Finite time thermodynamic studies on absorption thermodynamic cycles: a state of the arts review. Arabian Journal for Science and Engineering, 2013, 38(2): 405–419

DOI

35
Chen L G, Meng F K, Sun F R. Thermodynamic analyses and optimizations for thermoelectric devices: the state of the arts. Science China Technological Sciences, 2016, 59(3): 442–455

DOI

36
Ding Z M, Chen L G, Wang W H, Sun F R. Progress in study on finite time thermodynamic performance optimization for three kinds of microscopic energy conversion systems. Scientia Sinica Technologica, 2015, 45(9): 889–918 (in Chinese)

DOI

37
Ge Y L, Chen L G, Sun F R. Progress in finite time thermodynamic studies for internal combustion engine cycles. Entropy (Basel, Switzerland), 2016, 18(4): 139

DOI

38
Chen L G, Wu C, Sun F R, Cao S. Heat transfer effects on the net work output and efficiency characteristics for an air standard Otto cycle. Energy Conversion and Management, 1998, 39(7): 643–648

DOI

39
Angulo-Brown F, Fernandez-Betanzos J, Diaz-Pico C A. Compression ratio of an optimized air standard Otto-cycle model. European Journal of Physics, 1994, 15(1): 38–42

DOI

40
Chen L G, Zheng T, Sun F R, Wu C. The power and efficiency characteristics for an irreversible Otto cycle. International Journal of Ambient Energy, 2003, 24(4): 195–200

DOI

41
Chen J C, Zhao Y G, He J Z. Optimization criteria for the important parameters of an irreversible Otto heat-engine. Applied Energy, 2006, 83(3): 228–238

DOI

42
Zhao Y R, Chen J C. Irreversible Otto heat engine with friction and heat leak losses and its parametric optimum criteria. Journal of the Energy Institute, 2008, 81(1): 54–58

DOI

43
Noroozian A, Sadaghiani M S, Ahmadi M H, Bidi M. Thermodynamic analysis and comparison of performances of air standard Atkinson, Otto, and Diesel Cycles with heat transfer considerations. Heat Transfer—Asian Research, 2017, 46(7): 996–1028

44
Lin J X, Chen L G, Wu C, Sun F R. Finite-time thermodynamic performance of Dual cycle. International Journal of Energy Research, 1999, 23(9): 765–772

DOI

45
Hou S S. Heat transfer effects on the performance of an air standard Dual cycle. Energy Conversion and Management, 2004, 45(18–19): 3003–3015

DOI

46
Wang W H, Chen L G, Sun F R, Wu C. The effect of friction on the performance of an air standard Dual cycle. Exergy, An International Journal, 2002, 2(4): 340–344

DOI

47
Chen L G, Sun F R, Wu C. Optimal performance of an irreversible Dual-cycle. Applied Energy, 2004, 79(1): 3–14

DOI

48
Zheng T, Chen L G, Sun F R. The power and efficiency characteristics for irreversible Dual cycles. Transactions of Chinese Society for Internal Combustion Engines, 2002, 20(5): 408–412 (in Chinese)

49
Ge Y L. Finite time thermodynamic analysis and optimization for irreversible internal combustion engine cycles. Dissertation for the Doctoral Degree. Wuhan: Naval University of Engineering, 2011 (in Chinese)

50
Fukuzawa Y, Shimoda H, Kakuzawa Y, Endo H, Tanaka K. Development of high efficiency Miller cycle gas engine. Technical Review- Mitsubishi Heavy Industries, 2001, 38(3): 180

51
Wu C, Puzinauskas P V, Tsai J S. Performance analysis and optimization of a supercharged Miller cycle Otto engine. Applied Thermal Engineering, 2003, 23(5): 511–521

DOI

52
Ge Y L, Chen L G, Sun F R, Wu C. Effects of heat transfer and friction on the performance of an irreversible air-standard Miller cycle. International Communications in Heat and Mass Transfer, 2005, 32(8): 1045–1056

DOI

53
Ye X M. Effect of the variable heat capacities on the performance of an irreversible Miller heat engine. Frontiers in Energy, 2012, 6(3): 280–284

DOI

54
Gonca G, Sahin B. Effect of turbo charging and steam injection methods on the performance of a Miller cycle diesel engine (MCDE). Applied Thermal Engineering, 2017, 118: 138–146

DOI

55
Gonca G, Sahin B, Ust Y. Performance maps for an air-standard irreversible Dual-Miller cycle (DMC) with late inlet valve closing (LIVC) version. Applied Energy, 2013, 54: 190–285

DOI

56
Gonca G, Sahin B, Ust Y. Investigation of heat transfer influences on performance of air-standard irreversible Dual-Miller cycle. Journal of Thermophysics and Heat Transfer, 2015, 29(4): 678–683

DOI

57
Gonca G. Comparative performance analyses of irreversible OMCE (Otto Miller cycle engine)-DiMCE (Diesel miller cycle engine)-DMCE (Dual Miller cycle engine). Energy, 2016, 109: 152–159

DOI

58
Wu Z X, Chen L G, Ge Y L, Sun F R. Power, efficiency, ecological function and ecological coefficient of performance of an irreversible Dual-Miller cycle (DMC) with nonlinear variable specific heat ratio of working fluid. European Physical Journal Plus, 2017, 132(5): 203

DOI

59
Gonca G. Thermo-ecological analysis of irreversible Dual-Miller cycle (DMC) engine based on the ecological coefficient of performance (ECOP) criterion. Iranian Journal of Science and Technology, Transaction of Mechanical Engineering, 2017, 41(4): 1–12

DOI

60
Gonca G, Sahin B. Thermo-ecological performance analyses and optimizations of irreversible gas cycle engines. Applied Thermal Engineering, 2016, 105: 566–576

DOI

61
Angulo-Brown F. An ecological optimization criterion for finite-time heat engines. Journal of Applied Physics, 1991, 69(11): 7465–7469

DOI

62
Yan Z J. Comment on “ecological optimization criterion for finite-time heat engines”. Journal of Applied Physics, 1993, 73(7): 3583

DOI

63
Moscato A L S, Oliveira S D R. Net power optimization of an irreversible Otto cycle using ECOP and ecological function. International Review of Mechanical Engineering, 2015, 9(1): 11–20

DOI

64
Ge Y L, Chen L G, Qin X Y, Xie Z H. Exergy-based ecological performance of an irreversible Otto cycle with temperature-linear relation variable specific heat of working fluid. European Physical Journal Plus, 2017, 132(5): 209

DOI

65
You J, Chen L G, Wu Z X, Sun F R. Thermodynamic performance of Dual-Miller cycle (DMC) with polytropic processes based on power output, thermal efficiency and ecological function. Science China Technological Sciences, 2018, 61(3): 453–463

66
Parlak A. Comparative performance analysis of irreversible Dual and Diesel cycles under maximum power conditions. Energy Conversion and Management, 2005, 46(3): 351–359

DOI

67
Klein S A. An explanation for observed compression ratios in internal combustion engines. Journal of Engineering for Gas Turbines and Power, 1991, 113(4): 511–513

DOI

68
Mozurkewich M, Berry R S. Finite-time thermodynamics: engine performance improved by optimized piston motion. Proceedings of the National Academy of Sciences of the United States of America, 1981, 78(4): 1986–1988

DOI

69
Mozurkewich M, Berry R S. Optimal paths for thermodynamic systems: the ideal Otto cycle. Journal of Applied Physics, 1982, 53(1): 34–42

DOI

70
Chen L G, Ge Y L, Sun F R, Wu C. Effects of heat transfer, friction and variable specific heats of working fluid on performance of an irreversible Dual cycle. Energy Conversion and Management, 2006, 47(18–19): 3224–3234

DOI

71
Ge Y L, Chen L G, Sun F R. Ecological optimization of an irreversible Otto cycle. Arabian Journal for Science and Engineering, 2013, 38(2): 373–381

DOI

72
Ust Y, Sahin B, Sogut O S. Performance analysis and optimization of an irreversible dual-cycle based on an ecological coefficient of performance criterion. Applied Energy, 2005, 82(1): 23–39

DOI

73
Rocha-Martínez J A, Navarrete-González T D, Pavía-Miller C G, Páez-Hernández R, Angulo-Brown F. Otto and diesel engine models with cyclic variability. Revista Mexicana de Física, 2002, 48(3): 228–234

Outlines

/