volume | PIER Journals

Abstract

Central force optimization (CFO) is a new simple deterministic multi-dimensional search evolutionary algorithm (EA) inspired by gravitational kinematics. This paper evaluates CFO's performance and provides further examples on its effectiveness. A new scheme, the acceleration clipping, is introduced, which enhances CFO's global search ability while maintaining its simplicity. The improved CFO algorithm is applied to the optimal design of two different wideband microstrip patch antennas. Specifically, a microstrip line fed E-shaped patch antenna and a coaxial line fed double-E-shaped patch antenna are designed and optimized using the CFO method. CFO's performance on these antennas is compared to that of the differential evolution (DE) optimization. Both the CFO and DE methods are interfaced with the full-wave IE3D software. It is found that the CFO results are very close to those obtained using the DE technique.

1. Formato, R. A., "Central force optimization: A new metaheuristic with application in applied electromagnetics ," Progress In Electromagnetics Research, Vol. 77, 425-491, 2007.
doi:10.2528/PIER07082403 Google Scholar

2. Formato, R. A., "Central force optimization: A new nature inspired computational framework for multidimensional search and optimization ," Studies in Computational Intelligence (SCI), N. Krasnogor, G. Nicosia, M. Pavone, and D. Pelta (eds.), Vol. 129, 221-238, Springer-Verlag Heidelberg, 2008 (ISBN 978-3-540-78986-4). Google Scholar

3. Formato, R. A., "Central force optimization: A new gradient-like metaheuristic for multidimensional search and optimization ," Int. J. Bio-Inspired Computation, Vol. 1, No. 4, 217-238, 2009.
doi:10.1504/IJBIC.2009.024721 Google Scholar

4. Formato, R. A., "Central force optimization: A new deterministic gradient-like optimization metaheuristic ," OPSEARCH, J. of the Operations Research Society of India (ORSI), Vol. 46, No. 1, 25-51, 2009. Google Scholar

5. Qubati, G. M., R. A. Formato, and N. I. Dib, "Antenna Benchmark performance and array synthesis using central force optimization ," IET Microwaves, Antennas & Propagation, Vol. 4, No. 5, 583-592, 2010.
doi:10.1049/iet-map.2009.0147 Google Scholar

6. Formato, R. A., "Improved CFO algorithm for antenna optimization," Progress In Electromagnetics Research B, Vol. 19, 405-425, 2010.
doi:10.2528/PIERB09112309 Google Scholar

7. Feoktistov, V., "Differential Evolution, in Search of Solutions," Springer Science, 2006. Google Scholar

8. Storn, R. and K. Price, "Differential evolution --- A simple and efficient adaptive scheme for global optimization over continuous spaces," Tech. Rep. TR-95-012, Berkeley, CA, 1995. Google Scholar

9. Storn, R. and K. Price, "Differential evolution --- A simple and efficient heuristic for global optimization over continuous spaces," Journal of Global Optimization, Vol. 11, No. 4, 341-359, Dec. 1997.
doi:10.1023/A:1008202821328 Google Scholar

10. Robinson, J. and Y. Rahmat-Samii, "Particle swarm optimization in electromagnetics," IEEE Transactions on Antennas and Propagation, Vol. 52, No. 2, 397-407, 2004.
doi:10.1109/TAP.2004.823969 Google Scholar

11. Rajo-Iglesias, E. and O. Quevedo-Teruel, "Linear array synthesis using an ant-colony optimization-based algorithm," IEEE Ant. Prop. Mag., Vol. 49, No. 2, 70-79, Apr. 2007.
doi:10.1109/MAP.2007.376644 Google Scholar

12. Panduro, M., A. Mendez, R. Dominguez, and G. Romero, "Design of non-uniform circular antenna arrays for side lobe reduction using the method of genetic algorithms," Int. J. Electron. Commun. (AEU), Vol. 60, 713-717, 2006.
doi:10.1016/j.aeue.2006.03.006 Google Scholar

13. Qubati, G., Central force optimization method and its application to the design of antennas, Master thesis, Jordan University of Science and Technology (JUST).

14. Trelea, I., "The particle swarm optimization algorithm: Conver-gence analysis and parameter selection," Information Processing Letters, Vol. 85, 317-325, 2003.
doi:10.1016/S0020-0190(02)00447-7 Google Scholar

15., Zeland Software, Inc., www.zeland.com.

16. Yang, F., X. Zhang, X. Ye, and Y. Rahmat-Samii, "Wide-band E-shaped patch antennas for wireless communications," IEEE Transactions on Antennas and Propagation, Vol. 49, No. 7, 1094-1100, Jul. 2001.
doi:10.1109/8.933489 Google Scholar

17. Ge, Y., K. Esselle, and T. Bird, "E-shaped patch antennas for high speed wireless networks," IEEE Transactions on Antennas and Propagation, Vol. 52, No. 12, 3213-3219, Dec. 2004.
doi:10.1109/TAP.2004.836412 Google Scholar

18. Jin, N. and Y. Rahmat-Samii, "Parallel Particle Swarm Optimization and Finite-Di®erence Time-Domain (PSO/FDTD) algorithm for multiband and wide-band patch antenna designs," IEEE Transactions on Antennas and Propagation, Vol. 53, No. 11, 3459-3468, Nov. 2005.
doi:10.1109/TAP.2005.858842 Google Scholar

19. Liu, X., Y. Chen, Y. Jiao, and F. Zhang, "Modified particle swarm optimization for patch antenna design based on IE3D," Journal of Electromagnetic Waves and Applications, Vol. 21, No. 13, 1819-1828, 2007. Google Scholar

Dr. Gubran M. Qubati

Prof. Nihad I. Dib