Abstract

In this study we present another joint application of the bond graph approach and the scattering formalism for an electrical modeling of a patch antenna array. First, the aim of our application is to build the overall bond graph model of the antenna array using the first principle (physical interpretation to bond graph word of a physical system) of the developed technique by our research team. Second, the simplified model, performed on the found conventional bond graph model gives us easily, on the one hand, the scattering matrix S_ij (applying the analytical operating procedure); on the other hand, the electrical model of the patch antenna array. The proposed technique is validated by a comparative study between the simulations of the scattering parameters S_ij of the studied structure and the simulations of those founded directly from the electrical model of the antenna. In this study we recall that, the used networks patch antenna has multi-triangular and geometric structures.

Keywords:

Bond graph modeling, lumped elements, multi-triangular structure, patch antenna array, scattering bond graph approach , RF and microwave circuits,

References

1. Anguera, J., C. Puente and C. Borja, 2009. Dual frequency broadband microstrip antenna with a reactive loading and stacked elements. Prog. Electromagn. Res. Lett., 1(10):1-10.
   CrossRef    
2. Bahl, I.J., 2003. Lumped Elements for RF and Microwave Circuits. Artech House, Norwood, MA.
   
3. Ferchichi, A., N. Fadlallah, N. Sboui and A. Gharssalah, 2009. Analysis and design of printed fractal antennas by using an adequate electrical model. Int. J. Commun. Network. Inform. Secur., 1(3): 65-69.
   
4. Galehdar, A., D.V. Thiel and S.G. O'Keefe, 2007. Antenna efficiency calculations for electrically small, RFID antennas. IEEE Antenn. Wirel. Pr., 6: 156-159.
   CrossRef    
5. Jmal, S., H. Taghouti and A. Mami, 2013. A new modeling and simulation methodology of a patch antenna by bond graph approach. Proceeding of the IEEE International Conference on Electrical Engineering and Software Applications (ICEESA), pp: 1-6.
   CrossRef    
6. Kamel, A. and G. Dauphin-Tanguy, 1993. Bond graph modeling of power waves in the scattering formalism. J. Simulat. Ser., 25: 41-41.
   
7. Khmailia, S., H. Taghouti, R. Mehouachi and A. Mami, 2012. Analyze of a rectangular microstrip antenna by the scattering bond graph approach. Int. J. Elect. Com. Eng. Tech. (IJECET), 3(1).
   
8. Mehouachi, R., H. Taghouti, S. Khmailia and A. Mami, 2012. Modelling and determination of the scattering parameters of wideband patch antenna by using a bond graph approach. Int. J. Eng. Res. App., 2(5): 879-884.
   
9. Mehouachi, R., H. Taghouti and A. Mami, 2014. Analysis of microstrip patches antennas array by using a new bond graph technology. Am. J. Appl. Sci., 11(8): 1436-1449.
   CrossRef    
10. Mekki, M., 2004. Evaluation des méthodes appliquées à l’analyse électromagnétique des systèmes radioélectriques très hautes fréquences embarqués dans l’environnement automobile. Application: Radar anticollision à 76GHz. Ph.D. Thèse, Université Paris 6.
    
11. Paynter, H.M., J. Ilene and Busch-Vishniac, 1988. Wave scattering approaches to conservation and causality. J. Frankl. Inst., 325(3): 295-313.
    CrossRef    
12. Pozart, D.M., 1998. Microwave Engineering. 2nd Edn., John Wiley Sons, New York.
    
13. Simovski, C.R. and A.A. Sochava, 2003. High-impedance surfaces based on self-resonant grids. Analytical modelling and numerical simulations. Prog. Electromagn. Res., 43: 239-256.
    CrossRef    
14. Su, Z., Y. Liu, W. Yu and R. Mittra, 2004. A conformal mesh-generating technique for the conformal finite-difference time-domain (CFDTD) method. IEEE Antennas Propag., 46(1): 37-49.
    CrossRef    
15. Sulaiman, N.H. and M.Y. Ismail, 2013. Dual frequency X-band reflect array antenna using dual gap. Proc. Eng., 53: 271-277.
    CrossRef    
16. Taghouti, H. and A. Mami, 2009. Application of the reduced bond graph approaches to determinate the scattering parameters of high frequency filter. Proceeding of the 10th International Conference on Science and Techniques of Automatic Control and Computer Engineering. Tunisia, pp: 379-391.
    
17. Taghouti, H. and A. Mami, 2010. How to find wave-scattering parameters from the causal bond graph model of a high frequency filter. Am. J. Appl. Sci., 7(5): 702-710.
    CrossRef    
18. Taghouti, H. and A. Mami, 2011. New extraction method of the scattering parameters of a physical system starting from its causal bond graph model: Application to a microwave filter. Int. J. Phys. Sci., 6(13): 3016-3030.
    
19. Taghouti, H. and A. Mami, 2012. Discussion around the scattering matrix realization of a microwave filter using the bond graph approach and scattering formalism. Am. J. Appl. Sci., 9(4): 459-467.
    
20. Taghouti, H., S. Khmailia, R. Mehouachi and A. Mami, 2012. Using of a new bond graph technology for the study of a high frequency low pass filter. Int. J. Comput. Eng. Manage., 15(5): 9-15.
    CrossRef    
21. Taghouti, H., A. Mami and S. Jmal, 2014. Nouvelle Technique de Modélisation et Simulation par Bond Graph: Applications aux Circuits Hauts Fréquences et Antennes Patch. Saarbru¨cken E´ditions Universitaires Européennes (13 février 2014). ISBN-10: 3841730582; ISBN 13: 978-3841730589.
    

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