Extremum seeking control of a tunable thermoacoustic cooler

In this paper, the performance of a prototype standing wave thermoacoustic cooler is optimized using an extremum seeking control (ESC) algorithm. A tunable Helmholtz resonator was developed for a thermoacoustic cooler to change the boundary condition of the standing wave tube. The volume of the resonator is changed by changing the location of a piston on a ball-screw assembly driven by a dc motor. Multiparameter ESC was applied to optimize the cooling power via tuning both the boundary condition (piston location) and the driving frequency. Experiments were conducted for the online optimization under both fixed and varying operating conditions. The experimental results demonstrated the effectiveness of using ESC for maintaining maximum achievable performance. The effect of changing parameters in the ESC algorithm on the transient behavior was also investigated.

[1]  Jan Sternby,et al.  Extremum control systems¿An area for adaptive control? , 1980 .

[2]  G. C. Walsh,et al.  On the application of multi-parameter extremum seeking control , 2000, Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334).

[3]  I. Tunay,et al.  Antiskid control for aircraft via extremum-seeking , 2001, Proceedings of the 2001 American Control Conference. (Cat. No.01CH37148).

[4]  Sergey V. Drakunov,et al.  ABS control using optimum search via sliding modes , 1995, IEEE Trans. Control. Syst. Technol..

[5]  Scott Backhaus,et al.  The Power of Sound , 2000, American Scientist.

[6]  K.B. Ariyur,et al.  Control of formation flight via extremum seeking , 2002, Proceedings of the 2002 American Control Conference (IEEE Cat. No.CH37301).

[7]  K.B. Ariyur,et al.  Analysis and design of multivariable extremum seeking , 2002, Proceedings of the 2002 American Control Conference (IEEE Cat. No.CH37301).

[8]  G. Koopmann,et al.  Reduction of centrifugal fan noise by use of resonators , 1980 .

[9]  Luc Mongeau,et al.  A method for estimating the parameters of electrodynamic drivers in thermoacoustic coolers. , 2005, The Journal of the Acoustical Society of America.

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

[11]  Luc Mongeau,et al.  Adaptive tuning of an electrodynamically driven thermoacoustic cooler. , 2002, The Journal of the Acoustical Society of America.

[12]  Miroslav Krstic,et al.  Optimizing bioreactors by extremum seeking , 1999 .

[13]  Miroslav Krstic,et al.  Experimental application of extremum seeking on an axial-flow compressor , 2000, IEEE Trans. Control. Syst. Technol..

[14]  Matthew A. Franchek,et al.  Hybrid noise control in ducts , 2000 .

[15]  G. Swift.  Thermoacoustics: A Unifying Perspective for Some Engines and Refrigerators , 2017 .

[16]  Miroslav Krstic,et al.  Stability of extremum seeking feedback for general nonlinear dynamic systems , 2000, Autom..

[17]  Robert J. Bernhard,et al.  Adaptive-passive noise control with self-tuning Helmholtz resonators , 1997 .

[18]  Mario A. Rotea,et al.  Analysis of multivariable extremum seeking algorithms , 2000, Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334).

[19]  Miroslav Krstic,et al.  Performance improvement and limitations in extremum seeking control , 2000 .

[20]  Umit Ozguner,et al.  Extremum-seeking control strategy for ABS system with time delay , 2002, Proceedings of the 2002 American Control Conference (IEEE Cat. No.CH37301).

[21]  Gregory W. Swift.  Thermoacoustic Engines and Refrigerators , 1995 .

[22]  Andrzej Banaszuk,et al.  Adaptive control of combustion instability using extremum-seeking , 2000, Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334).

[23]  Yaoyu Li.  Active and adaptive-passive control of acoustic impedance with thermoacoustic cooling applications , 2004 .