Exergetic sustainability evaluation and optimization of an irreversible Brayton cycle performance

Abstract

Owing to the energy demands and global warming issue, employing more effective power cycles has become a responsibility. This paper presents a thermodynamical study of an irreversible Brayton cycle with the aim of optimizing the performance of the Brayton cycle. Moreover, four different schemes in the process of multi-objective optimization were suggested, and the outcomes of each scheme are assessed separately. The power output, the concepts of entropy generation, the energy, the exergy output, and the exergy efficiencies for the irreversible Brayton cycle are considered in the analysis. In the first scheme, in order to maximize the exergy output, the ecological function and the ecological coefficient of performance, a multi-objective optimization algorithm (MOEA) is used. In the second scheme, three objective functions including the exergetic performance criteria, the ecological coefficient of performance, and the ecological function are maximized at the same time by employing MOEA. In the third scenario, in order to maximize the exergy output, the exergetic performance criteria and the ecological coefficient of performance, a MOEA is performed. In the last scheme, three objective functions containing the exergetic performance criteria, the ecological coefficient of performance, and the exergy-based ecological function are maximized at the same time by employing multi-objective optimization algorithms. All the strategies are implemented via multi-objective evolutionary algorithms based on the NSGAII method. Finally, to govern the final outcome in each scheme, three well-known decision makers were employed.

Keywords

entropy generation / exergy / Brayton cycle / ecological function / irreversibility

References

[1] Bejan A. Entropy Generation Through Heat and Fluid Flow. New York: Wiley, 1982

[2] Cengel Y A, Boles M A. Thermodynamics: an Engineering Approach. 5th ed., New York: McGraw-Hill, 2011

[3] Chen L, Sun F. Advances in Finite Time Thermodynamics: Analysis and Optimization.New York: Nova Science Publishers, 2004

[4] Ma Z, Turan A. Finite time thermodynamic modeling of an indirectly fired gas turbine cycle. In: 2010 Asia-Pacific Power and Energy Engineering Conference (APPEEC), 2010

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

[6] Zheng S, Lin G. Optimization of power and efficiency for an irreversible diesel heat engine. Frontiers of Energy and Power Engineering in China, 2010, 4(4): 560–565

[7] Dobrovicescu A, Grosu L. Optimisation exergo-économique d’une turbine à gaz. Oil & Gas Science and Technology, 2012, 67(4): 661–670

[8] Grosu L, Dobre C, Petrescu S. Study of a Stirling engine used for domestic micro-cogeneration. International Journal of Energy Research,  2015,  39(9):1280–1294

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

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

[11] Ust Y. Performance analysis, optimization of irreversible air refrigeration cycles based on ecological coefficient of performance criterion. Applied Thermal Engineering, 2009, 29(1): 47–55

[12] Ust Y. Effect of regeneration on the thermo-ecological performance analysis, optimization of irreversible air refrigerators. Heat & Mass Transfer,  2010,  46(4):469–478

[13] Ust Y, Sahin B. Performance optimization of irreversible refrigerators based on a new thermo-ecological criterion. International Journal of Refrigeration, 2007, 30(3): 527–534

[14] Ust Y, Akkaya A V, Safa A. Analysis of a vapor compression refrigeration system via exergetic performance coefficient criterion. Journal of the Energy Institute, 2016, 84(84): 66–72

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

[16] Ust Y, Sahin B, Kodal A. Ecological coefficient of performance ECOP optimization for generalized irreversible Carnot heat engines. Journal of the Energy Institute, 2005, 78(3): 145–151

[17] Ust Y, Safa A, Sahin B. Ecological performance analysis of an endoreversible regenerative Brayton heat-engine. Applied Energy, 2005, 80(3): 247–260

[18] Ust Y, Sahin B, Kodal A. Optimization of a dual cycle cogeneration system based on a new exergetic performance criterion. Applied Energy,  2007,  84(11):1079–1091

[19] Ust Y, Sahin B, Yilmaz T. Optimization of a regenerative gas-turbine cogeneration system based on a new exergetic performance criterion: exergetic performance coefficient EPC. Proceedings of the Institution of Mechanical Engineers, Part A, Journal of Power and Energy, 2007, 221(4): 447–456

[20] Ust Y, Sahin B, Kodal A, Akcay I H. Ecological coefficient of performance analysis, optimization of an irreversible regenerative-Brayton heat engine. Applied Energy, 2006, 83(6): 558–572

[21] Ust Y, Sogut S S, Sahin B. The effects of inter cooling, regeneration on thermo-ecological performance analysis of an irreversible-closed Brayton heat engine with variable-temperature thermal reservoirs. Journal of Physics D Applied Physics,  2006,  39(21):4713–4721

[22] Ust Y, Sogut O S, Sahin B, Durmayaz A. Ecological coefficient of performance ECOP optimization for an irreversible Brayton heat engine with variable-temperature thermal reservoirs. Journal of the Energy Institute, 2006, 79(1): 47–52

[23] Ust Y, Sahin B, Kodal A. Performance analysis of an irreversible Brayton heat engine based on ecological coefficient of performance criterion. International Journal of Thermal Sciences, 2006, 45(1): 94–101

[24] Açıkkalp E. Models for optimum thermo-ecological criteria of actual thermal cycles. Thermal Science,  2012,  17(17):915–930

[25] Açıkkalp E, Yamık H. Limits and optimization of power input or output of actual thermal cycles. Entropy,  2013,  15(8):3219–3248

[26] Özyer T, Zhang M, Alhajj R. Integrating multi-objective genetic algorithm based clustering and data partitioning for skyline computation. Applied Intelligence,  2011,  35(1):110–122

[27] Ombuki B, Ross B J, Hanshar F. Multi-objective genetic algorithms for vehicle routing problem with time windows. Applied Intelligence, 2006, 24(1): 17–30

[28] Blecic I, Cecchini A, Trunfio G. A decision support tool coupling a causal model and a multi-objective genetic algorithm. Applied Intelligence,  2007,  26(2):125–137

[29] Van Veldhuizen D A, Lamont G B. Multi objective evolutionary algorithms analyzing the state-of-the-art. Evolutionary Computation, 2000, 8(2): 125–147

[30] Konak A, Coit D W, Smith A E. Multi-objective optimization using genetic algorithms: a tutorial. Reliability Engineering & System Safety, 2006, 91(9): 992–1007

[31] Ahmadi M H, Hosseinzade H, Sayyaadi H, Mohammadi A H, Kimiaghalam F. Application of the multi-objective optimization method for designing a powered Stirling heat engine: design with maximized power, thermal efficiency and minimized pressure loss. Renewable Energy,  2013,  60(4): 313–322

[32] Ahmadi M H, Sayyaadi H, Mohammadi A H, Barranco-Jimenez M A. Thermo-economic multi-objective optimization of solar dish-Stirling engine by implementing evolutionary algorithm. Energy Conversion & Management,  2013,  73(5): 370–380

[33] Ahmadi M H, Sayyaadi H, Dehghani S, Hosseinzade H. Designing a solar powered Stirling heat engine based on multiple criteria: maximized thermal efficiency and power. Energy Conversion & Management,  2013,  75(75):282–291

[34] Ahmadi M H, Dehghani S, Mohammadi A H, Feidt M, Barranco-Jimenez M A. Optimal design of a solar driven heat engine based on thermal and thermo-economic criteria. Energy Conversion & Management,  2013,  75(11):635–642

[35] Ahmadi M H, Ahmadi M A, Bayat R, Ashouri M, Feidt M. Thermo-economic optimization of Stirling heat pump by using non-dominated sorting genetic algorithm. Energy Conversion & Management,  2015,  91:315–322

[36] Lazzaretto A, Toffolo A. Energy, economy and environment as objectives in multi-criterion optimization of thermal systems design. Energy, 2004, 29(8): 1139–1157

[37] Toghyani S, Kasaeian A, Ahmadi M H. Multi-objective optimization of Stirling engine using non-ideal adiabatic method. Energy Conversion & Management,  2014,  80(5):54–62

[38] Toffolo A, Lazzaretto A. Evolutionary algorithms for multi-objective energetic and economic optimization in thermal system design. Energy, 2002, 27(6): 549–567

[39] Ahmadi M H, Mohammadi A H, Dehghani S. Evaluation of the maximized power of a regenerative endoreversible Stirling cycle using the thermodynamic analysis. Energy Conversion and Management, 2013, 76(12): 561–570

[40] Ahmadi M H, Ahmadi M A, Mohammadi A H, Feidt M, Pourkiaei S M. Multi-objective optimization of an irreversible Stirling cryogenic refrigerator cycle. Energy Conversion and Management, 2014, 82(6): 351–360

[41] Ahmadi M H, Ahmadi M A, Mohammadi A H, Mehrpooya M, Feidt M. Thermodynamic optimization of Stirling heat pump based on multiple criteria. Energy Conversion and Management, 2014, 80(80): 319–328

[42] Ahmadi M H, Mohammadi A H, Dehghani S, Barranco-Jimenez M A. Multi-objective thermodynamic-based optimization of output power of solar dish-Stirling engine by implementing an evolutionary algorithm. Energy Conversion and Management, 2013, 75: 438–445

[43] Ahmadi M H, Mohammadi A H, Pourkiaei S M. Optimisation of the thermodynamic performance of the Stirling engine. International Journal of Ambient Energy, 2016, 37(2): 149–161

[44] Sayyaadi H, Ahmadi M H, Dehghani S. Optimal design of a solar-driven heat engine based on thermal and ecological criteria. Journal of Energy Engineering,  2014,  141(3)

[45] Soltani R, Keleshtery P M, Vahdati M, Khoshgoftarmanesh M H, Rosen M A, Amidpour M. Multi-objective optimization of a solar-hybrid cogeneration cycle: application to CGAM problem. Energy Conversion & Management,  2014,  81(2):60–71

[46] Ahmadi M H, Ahmadi M A, Mehrpooya M, Hosseinzade H, Feidt M. Thermodynamic and thermoeconomic analysis and optimization of performance of irreversible four-temperature-level absorption refrigeration. Energy Conversion & Management,  2014,  88:1051–1059

[47] Ahmadi M H, Ahmadi M A. Thermodynamic analysis and optimization of an irreversible ericsson cryogenic refrigerator cycle. Energy Conversion and Management, 2015, 89(89): 147–155

[48] Ahmadi M H, Ahmadi M A, Mehrpooya M, Sameti M. Thermo-ecological analysis and optimization performance of an irreversible three-heat-source absorption heat pump. Energy Conversion and Management, 2015, 90: 175–183

[49] Ahmadi M H, Ahmadi M A, Feidt M. Performance optimization of a solar-driven multi-step irreversible brayton cycle based on a multi-objective genetic algorithm. Oil & Gas Science and Technology, 2014, 71(1): 1-11

[50] Ahmadi M H, Ahmadi M A. Multi objective optimization of performance of three-heat-source irreversible refrigerators based algorithm NSGAII. Renewable & Sustainable Energy Reviews, 2016, 60: 784–794

[51] Ahmadi M H, Ahmadi M A, Mellit A, Pourfayaz F, Feidt M. Thermodynamic analysis and multi objective optimization of performance of solar dish Stirling engine by the centrality of entransy and entropy generation. International Journal of Electrical Power & Energy Systems, 2016, 78: 88–95

[52] Ahmadi M H, Ahmadi M A, Pourfayaz F, Bidi M. Thermodynamic analysis and optimization for an irreversible heat pump working on reversed Brayton cycle. Energy Conversion and Management, 2016, 110: 260–267

[53] Ahmadi M H, Ahmadi M A, Mehrpooya M, Feidt M, Rosen M A. Optimal design of an Otto cycle based on thermal criteria. Mechanics & Industry, 2016, 17(1): 111

[54] 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

[55] Ahmadi M H, Ahmadi M A, Pourfayaz F. Performance assessment and optimization of an irreversible nano-scale Stirling engine cycle operating with Maxwell-Boltzmann gas. European Physical Journal Plus, 2015, 130(9): 190–203

[56] Sadatsakkak S A, Ahmadi M H, Bayat R, Pourkiaei S M, Feidt M. Optimization density power and thermal efficiency of an endoreversible Braysson cycle by using non-dominated sorting genetic algorithm. Energy Conversion and Management, 2015, 93: 31– 39

[57] Sadatsakkak S A, Ahmadi M H, Ahmadi M A. Thermodynamic and thermo-economic analysis and optimization of an irreversible regenerative closed Brayton cycle. Energy Conversion and Management, 2015, 94: 124–129

[58] Ahmadi M H, Ahmadi M A, Shafaei A, Ashouri M, Toghyani S. Thermodynamic analysis and optimization of the Atkinson engine by using NSGA-II. International Journal of Low-Carbon Technologies,  2016, 11: 317–324

[59] Ahmadi M H, Ahmadi M A, Feidt M. Thermodynamic analysis and evolutionary algorithm based on multi-objective optimization of performance for irreversible four-temperature-level refrigeration. Mechanics & Industry, 2015, 16(2): 207

[60] Abu-Nada E, Al-Hinti I, Al-Sarkhi A, Akash B. Thermodynamic modeling of a spark-ignition engine: effect of temperature dependent specific heats. International Communications in Heat and Mass Transfer, 2006, 33(10): 1264–1272

[61] Li J, Chen L, Sun F. Optimal ecological performance of a generalized irreversible Carnot heat pump with a generalized heat transfer law. Termotehnica Thermal Engineering, 2009, 13(2): 61–68

[62] Chen L, Zhou J, Sun F, Wu C. Ecological optimization for generalized irreversible Carnot engines. Applied Energy, 2004, 77(3): 327–338

[63] Xia D, Chen L, Sun F. Universal ecological performance for endoreversible heat engine cycles. International Journal of Ambient Energy,  2006,  27(1):15–20

[64] Özel G, Açıkkalp E, Yamık H. Methods used for evaluating irreversible Brayton cycle and comparing them. International Journal of Sustainable Aviation,  2015,  1(3): 288–298

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