Thermodynamic design of Stirling engine using multi-objective particle swarm optimization algorithm

Abstract In the recent years, the interest in Stirling engine has remarkably increased due to its ability to use any heat source from outside including solar energy, fossil fuels and biomass. A large number of studies have been done on Stirling cycle analysis. In the present study, a mathematical model based on thermodynamic analysis of Stirling engine considering regenerative losses and internal irreversibilities has been developed. Power output, thermal efficiency and the cycle irreversibility parameter of Stirling engine are optimized simultaneously using Particle Swarm Optimization (PSO) algorithm, which is more effective than traditional genetic algorithms. In this optimization problem, some important parameters of Stirling engine are considered as decision variables, such as temperatures of the working fluid both in the high temperature isothermal process and in the low temperature isothermal process, dead volume ratios of each heat exchanger, volumes of each working spaces, effectiveness of the regenerator, and the system charge pressure. The Pareto optimal frontier is obtained and the final design solution has been selected by Linear Programming Technique for Multidimensional Analysis of Preference (LINMAP). Results show that the proposed multi-objective optimization approach can significantly outperform traditional single objective approaches.

[1]  Allan D. Shocker,et al.  Linear programming techniques for multidimensional analysis of preferences , 1973 .

[2]  Somchai Wongwises,et al.  Thermodynamic analysis of a Stirling engine including dead volumes of hot space, cold space and regenerator , 2006 .

[3]  Carlos A. Coello Coello,et al.  Handling multiple objectives with particle swarm optimization , 2004, IEEE Transactions on Evolutionary Computation.

[4]  Hoseyn Sayyaadi,et al.  Application of the multi-objective optimization method for designing a powered Stirling heat engine: Design with maximized power, thermal efficiency and minimized pressure loss , 2013 .

[5]  W. Renhart,et al.  Pareto optimality and particle swarm optimization , 2004, IEEE Transactions on Magnetics.

[6]  Amir H. Mohammadi,et al.  Optimal design of a solar driven heat engine based on thermal and thermo-economic criteria , 2013 .

[7]  Hoseyn Sayyaadi,et al.  Designing a solar powered Stirling heat engine based on multiple criteria: Maximized thermal efficiency and power , 2013 .

[8]  Iskander Tlili,et al.  Thermodynamic analysis of the Stirling heat engine with regenerative losses and internal irreversibilities , 2008 .

[9]  Mehdi Mehrpooya,et al.  Thermodynamic optimization of Stirling heat pump based on multiple criteria , 2014 .

[10]  Iskander Tlili,et al.  Design and performance optimization of GPU-3 Stirling engines , 2008 .

[11]  Amir H. Mohammadi,et al.  Thermodynamic model to study a solar collector for its application to Stirling engines , 2014 .

[12]  I. Dincer Renewable energy and sustainable development: a crucial review , 2000 .

[13]  Charles Harman,et al.  Application of the Direct Method to irreversible Stirling cycles with finite speed , 2002 .

[14]  Somchai Wongwises,et al.  A review of solar-powered Stirling engines and low temperature differential Stirling engines , 2003 .

[15]  D. Mills Advances in solar thermal electricity technology , 2004 .

[16]  Alibakhsh Kasaeian,et al.  Multi-objective optimization of Stirling engine using non-ideal adiabatic method , 2014 .

[17]  Lingen Chen,et al.  Optimum performance of irreversible stirling engine with imperfect regeneration , 1998 .

[18]  Jonathan E. Fieldsend,et al.  A MOPSO Algorithm Based Exclusively on Pareto Dominance Concepts , 2005, EMO.

[19]  Russell C. Eberhart,et al.  A new optimizer using particle swarm theory , 1995, MHS'95. Proceedings of the Sixth International Symposium on Micro Machine and Human Science.

[20]  C.A. Coello Coello,et al.  MOPSO: a proposal for multiple objective particle swarm optimization , 2002, Proceedings of the 2002 Congress on Evolutionary Computation. CEC'02 (Cat. No.02TH8600).

[21]  Hamit Solmaz,et al.  Performance comparison of a novel configuration of beta-type Stirling engines with rhombic drive engine , 2014 .

[22]  David L. Olson,et al.  Decision Aids for Selection Problems , 1995 .

[23]  Chen Duan,et al.  Preliminary Design and Adiabatic Analysis of a 3kW Free Piston Stirling Engine , 2013 .

[24]  Israel Urieli,et al.  Stirling Cycle Engine Analysis , 1983 .

[25]  Ghislain Despesse,et al.  Analytical model for Stirling cycle machine design , 2010 .

[26]  S. C. Kaushik,et al.  Finite time thermodynamic analysis of endoreversible Stirling heat engine with regenerative losses , 2000 .

[27]  Allan J. Organ,et al.  The Regenerator and the Stirling Engine , 1997 .

[28]  Chin-Hsiang Cheng,et al.  Numerical model for predicting thermodynamic cycle and thermal efficiency of a beta-type Stirling engine with rhombic-drive mechanism , 2010 .

[29]  Amir H. Mohammadi,et al.  Multi-objective thermodynamic-based optimization of output power of Solar Dish-Stirling engine by implementing an evolutionary algorithm , 2013 .

[30]  Jorge Barón,et al.  Design and construction of a Stirling engine prototype , 2008 .

[31]  Ari Rabl,et al.  Prospects for PV: a learning curve analysis , 2003 .

[32]  Charles Harman,et al.  The effect of irreversibilities on solar Stirling engine cycle performance , 1999 .

[33]  D. G. Thombare,et al.  TECHNOLOGICAL DEVELOPMENT IN THE STIRLING CYCLE ENGINES , 2008 .

[34]  Fabien Formosa Coupled thermodynamic-dynamic semi-analytical model of Free Piston Stirling engines , 2011 .

[35]  Somchai Wongwises,et al.  Performance of a twin power piston low temperature differential Stirling engine powered by a solar simulator , 2007 .

[36]  Fatih Aksoy,et al.  Thermodynamic analysis of a beta-type Stirling engine with rhombic drive mechanism , 2013 .

[37]  Kalyanmoy Deb,et al.  Muiltiobjective Optimization Using Nondominated Sorting in Genetic Algorithms , 1994, Evolutionary Computation.

[38]  Somchai Wongwises,et al.  Optimum absorber temperature of a once-reflecting full conical concentrator of a low temperature differential Stirling engine , 2005 .