volume | PIER Journals

Abstract

Petri net is a mathematical and graphical tool used for analyzing the properties of parallel and concurrent system designs. Here, it is used for checking the process modeling of 4 × 4 Butler matrix fabricated on Rogers RO3210 and resonating in Ku band. Butler matrix is well suited for satellite and aircraft antenna applications as a feeding network for phase array systems. So, this basic feed design process of antennas is studied using Petri nets for better understating the designing process and removal of any deadlocks occurring during designing and feeding of antennas. It is accomplished by analyzing the behavioral and structural properties of Petri nets. A Butler matrix divides the power amplitude into four equal parts and provides a progressive phase difference of 45˚. Therefore, its components, 0 db coupler, 3 db coupler, and phase shifters, have also been designed and simulated. After designing the components, firstly these components are joined to form a matrix design which is simulated and fabricated in ANSYS HFSS. Secondly, the designed structure is analyzed for structural and behavioral properties using Petri net's graphical and mathematical properties. After analyzing the process, the feed design can be modified further according to user requirements, and deadlock can be removed by checking the difference between the simulated and measured results of design. Likewise, here the matrix has been compared and found to be following the same pattern. The overall size of the matrix is 5.58 × 7.43 cm², which is further suitable for the user's feeding requirements and applications.

1. El-Tager, A. M. and M. A. Eleiwa, "Design and implementation of a smart antenna using Butler matrix for ISM-band," Progress In Electromagnetics Research Symposium, Beijing, 2009. Google Scholar

2. Kilani, M. B., M. Nedil, N. Kandil, and T. A. Denidni, "Design of conformal microstrip Butler matrix at 2.4 GHz," IEEE International Symposium on Antennas and Propagation, Chicago, 2012. Google Scholar

3. Alam, M. M., "Microstrip antenna array with four port Butler matrix for switched beam base station application," 12th International Conference on Computer and Information Technology (ICCIT), Dhaka, 2009. Google Scholar

4. Pandey, A. K., "Design of a compact high-power phased array for 5G FD-MIMO system at 29 GHz," Asia-Pacific Microwave Conference, New Delhi, 2016. Google Scholar

5. Babale, S. A., S. K. A. Rahim, O. Elijah, and S. I. Orakwue, "Two-dimensional beam-steering phased-array utilizing 2 × 2 Butler matrix," IEEE 3rd International Conference on Electro- Technology for National Development (NIGERCON), Owerri, Nigeria, 2017. Google Scholar

6. Ding, K., X. Fang, Y. Wang, and A. Chen, "Printed dual-layer three-way directional coupler utilized as 3 × 3 beamforming network for orthogonal three-beam antenna array," IEEE Antennas and Wireless Propagation Letters, Vol. 13, 911-914, 2014.
doi:10.1109/LAWP.2014.2321971 Google Scholar

7. Solmain, I., A. Rydosz, S. Gruszczynki, and K. Wincza, "Three beam microstrip antenna arrays fed by 3×3 Butler matrix," 7th IEEE International Symposium on Microwave, Antenna, Propagation, and EMC Technologies (MAPE), Xi'an, China, 2017. Google Scholar

8. Djera, T., N. J. G. Fonseca, and K. Wu, "Design and implementation of a planar 4 × 4 Butler matrix in SIW technology for wide band high power applications," Progress In Electromagnetics Research B, Vol. 35, 29-51, 2011.
doi:10.2528/PIERB11062004 Google Scholar

9. Zhai, Y., X. Fang, K. Ding, and F. He, "Miniaturization design for 8 × 8 Butler matrix based on back-to-back bilayer microstrip," International Journal of Antennas and Propagation, Vol. 2014, 1-7, 2014. Google Scholar

10. Rosati, G. and J. Munn, "Fast prototyping of an 8×8 Butler matrix beamforming network for 5G applications," International Conference on Electromagnetics in Advanced applications, (ICEAA), Verona, Italy, 2017. Google Scholar

11. Lei, S. and L. Jian, "Beam forming networks for triangular grid multi-beam array," IEEE International Conference on Microwave Technology & Computational Electromagnetics, Qingdao, China, 2013. Google Scholar

12. Zulkifli, F. Y., N. Chasanah, and E. T. Rahardjo, "Design of Butler matrix integrated with antenna array for beam forming," International Symposium on Antennas and Propagation (ISAP), Hobart, Australia, 2015. Google Scholar

13. Zhou, C., J. Fu, H. Sun, and Q. Wu, "A novel compact dual-band Butler matrix design," 3rd Asia-Pacific Conference on Antennas and Propagation, Harbin, China, 2014. Google Scholar

14. Lazovic, L., A. Jovanovic, B. Lutovac, and V. Rubezic, "The application of graph theory for the design of reconfigurable fractal antenna," 2016 24th Telecommunications Forum (TELFOR), Belgrade, Sweden, 2016. Google Scholar

15. Prakash, V., S. Kumawat, and P. Singh, "Circuital analysis of coaxial fed rectangular and U-slot patch antenna," International Conference on Computing, Communication and Automation (ICCCA2016), Greater, Noida, 2016. Google Scholar

16. Prakash, V., S. Kumawat, and P. Singh, "Design and analysis of full and half mode substrate integrated waveguide planar leaky wave antenna with continuous beam scanning in X-Ku band," Frequenz, Vol. 73, No. 5, 171-178, 2019.
doi:10.1515/freq-2018-0212 Google Scholar

17. Ren, H., B. Arigong, M. Zhou, J. Ding, and H. Zhang, "A novel design of 4×4 Butler matrix with relatively flexible phase differences," IEEE Antennas and Wireless Propagation Letters, Vol. 15, 1277-1280, 2016.
doi:10.1109/LAWP.2015.2504719 Google Scholar

18. Wang, W., Z. Qu, Z. Shen, L. Lou, K. Tang, and Y. Zheng, "Design of broadband phased array antenna at X-band," 2017 Progress In Electromagnetics Research Symposium — Fall (PIERS — FALL), Singapore, Singapore, Nov. 19–22, 2017. Google Scholar

19. Chu, H. N. and T.-G. Ma, "An extended 4 × 4 Butler matrix with enhanced beam controllability and widened spatial coverage," IEEE Transactions on Microwave Theory and Techniques, Vol. 66, No. 3, 1301-1311, 2018.
doi:10.1109/TMTT.2017.2772815 Google Scholar

20. Yao, Y.-L., F.-S. Zhang, and F. Zhang, "A new approach to design circularly polarized beam-steering antenna arrays without phase shift circuits," IEEE Transactions on Antennas and Propagation, Vol. 66, No. 5, 2354-2364, 2018.
doi:10.1109/TAP.2018.2811839 Google Scholar

21. Murata, T., "Petri nets: Properties, analysis and applications," Proceedings of the IEEE, Vol. 77, 541-580, 1982. Google Scholar

22. Kumawat, S. and G. N. Purohit, "Total span of farm workflow using Petri net with resource sharing," Int. J. Business Process Integration and Management, Vol. 8, 160-171, 2017.
doi:10.1504/IJBPIM.2017.085395 Google Scholar

23. Kumawat, S., "Weighted directed graph: A Petri Net based method of extraction of closed weighted directed Euler trail," International Journal of Services, Economics and management, Vol. 4, No. 3, 252-264, 2012.
doi:10.1504/IJSEM.2012.048622 Google Scholar

24. Shareef, A. and Y. Zhu, "Effective Stochastic modelling of energy constrained wireless sensor networks," Journal Computer Network and Communication, 2012. Google Scholar

25. Di Martino, C., Resiliency assessment of wireless sensor networks: A holistic approach, Ph.D. Thesis, Federico II, University of Naples, Italy, 2009.

26. Yahya, B., J. Ben-Othman, L. Mokdad, and S. Diagne, "Performance evaluation of a medium access control protocol for wireless sensor networks using Petri Nets," HET-NET’s 2010, 335-354, 2010. Google Scholar

27. Gupta, S., S. Kumawat, and G. P. Singh, "Fuzzy Petri Net representation of fuzzy production propositions of a rule based system," Communications in Computer and Information Science, Springer CCIS, Advances in Computing and Data Sciences, 197-210, 2019. Google Scholar

28. Gupta, S., G. P. Singh, and S. Kumawat, "Petri Net recommender system to model metabolic pathway of polyhydroxyalkanoates," International Journal of Knowledge and Systems Science (IJKSS) IGI Global Editorial Discovery, Vol. 10, No. 2, 18, 2019. Google Scholar

Dr. Ved Prakash

Dr. Sonal Dahiya

Dr. Sunita Kumawat

Dr. Priti Singh