Optimal design study of thermoacoustic regenerator with lexicographic optimization method

Purpose – This paper aims to illustrate the use of the augmented epsilon-constraint method implemented in general algebraic modelling system (GAMS), aimed at optimizing the geometry of a thermoacoustic regenerator. Thermoacoustic heat engines provide a practical solution to the problem of heat management where heat can be pumped or spot cooling can be produced. However, the most inhibiting characteristic of thermoacoustic cooling is their current lack of efficiencies. Design/methodology/approach – Lexicographic optimization is presented as an alternative optimization technique to the common used weighting methods. This approach establishes a hierarchical order among all the optimization objectives instead of giving them a specific (and most of the time, arbitrary) weight. Findings – A practical example is given, in a hypothetical scenario, showing how the proposed optimization technique may help thermoacoustic regenerator designers to identify Pareto optimal solutions when dealing with geometric parameter...

[1]  Robert M. Keolian,et al.  High-frequency thermoacoustic-Stirling heat engine demonstration device , 2003 .

[2]  C. Hwang Multiple Objective Decision Making - Methods and Applications: A State-of-the-Art Survey , 1979 .

[3]  J. E. Braun,et al.  Theoretical evaluation of the optimal performance of a thermoacoustic refrigerator , 1997 .

[4]  W. P. Arnott,et al.  Thermoacoustic engines , 1991, IEEE 1991 Ultrasonics Symposium,.

[5]  Oleg A. Prokopyev,et al.  Thermoacoustic heat engine modeling and design optimization , 2011 .

[6]  G. W. Swift,et al.  Understanding some simple phenomena in thermoacoustics with applications to acoustical heat engines , 1985 .

[7]  George Mavrotas,et al.  Effective implementation of the epsilon-constraint method in Multi-Objective Mathematical Programming problems , 2009, Appl. Math. Comput..

[8]  Martin Wetzel,et al.  Design optimization of thermoacoustic refrigerators , 1997 .

[9]  Nima Amjady,et al.  Multi-objective electricity market clearing considering dynamic security by lexicographic optimization and augmented epsilon constraint method , 2011, Appl. Soft Comput..

[10]  Anthony A. Atchley,et al.  Acoustically generated temperature gradients in short plates , 1987 .

[11]  Laura Schaefer,et al.  Geometric optimization of a thermoacoustic regenerator , 2009 .

[12]  G. Swift,et al.  A thermoacoustic-Stirling heat engine: detailed study , 2000, The Journal of the Acoustical Society of America.

[13]  J. Zeegers,et al.  The optimal stack spacing for thermoacoustic refrigeration. , 2002, The Journal of the Acoustical Society of America.

[14]  Kaisa Miettinen,et al.  Nonlinear multiobjective optimization , 1998, International series in operations research and management science.