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Stability analysis of free piston Stirling engines

Published online by Cambridge University Press:  08 March 2013

Sylvie Bégot*
Affiliation:
Département Énergie, Institut FEMTO-ST UMR 6174, CNRS/Université de Franche-Comté/ENSMM/UTBM, avenue Jean Moulin, 90000 Belfort, France
Guillaume Layes
Affiliation:
Département Énergie, Institut FEMTO-ST UMR 6174, CNRS/Université de Franche-Comté/ENSMM/UTBM, avenue Jean Moulin, 90000 Belfort, France
François Lanzetta
Affiliation:
Département Énergie, Institut FEMTO-ST UMR 6174, CNRS/Université de Franche-Comté/ENSMM/UTBM, avenue Jean Moulin, 90000 Belfort, France
Philippe Nika
Affiliation:
Département Énergie, Institut FEMTO-ST UMR 6174, CNRS/Université de Franche-Comté/ENSMM/UTBM, avenue Jean Moulin, 90000 Belfort, France
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Abstract

This paper presents a stability analysis of a free piston Stirling engine. The model and the detailed calculation of pressures losses are exposed. Stability of the machine is studied by the observation of the eigenvalues of the model matrix. Model validation based on the comparison with NASA experimental results is described. The influence of operational and construction parameters on performance and stability issues is exposed. The results show that most parameters that are beneficial for machine power seem to induce irregular mechanical characteristics with load, suggesting that self-sustained oscillations could be difficult to maintain and control.

Type
Research Article
Copyright
© EDP Sciences, 2013

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References

Dentice d’ Accadia, M., Sasso, M., Sibilio, S., Vanoli, L., Appl. Therm. Eng. 23, 1247 (2003)CrossRef
West, C., Principals and Applications of Stirling Engines (Van Nostrand Reinhald Co., New York, 1986)Google Scholar
Beale, W.T., Free-piston Stirling engines - some model tests and simulations, in International Automotive Engineering Congress, Detroit, Paper 690230, 1969
Beale, W.T., Chen, G., Small Stirling Free Piston Stirling Engines for Cogeneration (Sunpower Inc. Athens, Ohio, 1992)Google Scholar
Urieli, I., Berchowitz, D.M., Stirling Cycle Analysis (Adam Hilger, Bristol, 1984)Google Scholar
Redlich, R.W., Berchowitz, D.M., Proc. Inst. Mech. Eng. 199, 203 (1985)CrossRef
Rogdakis, E.D., Bormpilas, N.A., Koniakos, I.K., Energy Convers. Manage. 45, 575 (2004)CrossRef
de Monte, F., Benvenuto, G., J. Propuls. Power 14, 499 (1998)CrossRef
de Monte, F., Benvenuto, G., J. Propuls. Power 14, 509 (1998)CrossRef
Ulusoy, N., Mc Caughan, F., Nonlinear analysis of free piston Stirling engines/alternator system, in Intersociety Energy Conversion Engineering Conference Vol. 4, (1994), 18471852Google Scholar
Formosa, F., Energy Convers. Manage. 52, 2098 (2011)CrossRef
Boucher, J., Lanzetta, F., Nika, P., Appl. Therm. Eng. 27, 802 (2007)CrossRef
Martini, W.R., Stirling Engine Design Manual, NASA CR 168088
Kays, W.M., London, A.L., Compact Heat Exchangers (McGraw-Hill, New York, 1964)Google Scholar
Munson, B., Young, D., Okiishi, T., Huebesch, W., Fundamentals ofFluid Mechanics (Wiley, New York, 2010)Google Scholar
Pradin, B., Garcia, G., Modélisation, Analyse et Commande des Systèmes Linéaires (Presses universitaires du Mirail, Toulouse, 2009)Google Scholar
Bégot, S., Layes, G., Lanzetta, F., Djetel, S., Nika, P., Contreau, R., Modéle pour conception/optimization d’un moteur Stirling à pistons libres “mécanique”, in Congrès de la Société Française de Thermique, Perpignan, France, 2011Google Scholar
Bégot, S., Layes, G., Lanzetta, F., Nika, P., Contreau, R., Validation d’un modele de moteur Stirling à pistons libres pour la micro-cogeneration, in Actes du congres de la Société Française de Thermique, Bordeaux, 2012Google Scholar
Schreiber, J.G., Geng, S.M., Lorenz, G.V., RE-1000 Free-Piston Stirling Engine Sensitivity Test Results, NASA TM-88846, (1986)CrossRef