OPTIMIZATION OF LPDA EXCITATIONS AND THE PBM ANTENNA BENCHMARKS USING SHADE AND L-SHADE ALGORITHMS

The SHADE and L-SHADE variants of the Differential Evolution global search and optimization algorithm are used to compute optimized excitations for a Log Periodic Dipole Array antenna and to numerically solve the Pantoja-Bretones-Martin suite of antenna benchmark problems. Comparison to published data shows that SHADE and L-SHADE both are effective and efficient algorithms for solving the array excitation problem and the Pantoja-Bretones-Martin wire antenna benchmarks. L-SHADE clearly is more efficient on the array problem, but overall on the benchmarks the opposite is true, albeit to a lesser degree. The data support the view that neither algorithm is generally better than the other for the type of wire antenna problems considered here. Rather, which algorithm is more efficient is highly dependent on the specific antenna being optimized. In terms of the quality of their solutions, however, both algorithms accurately return the benchmarks’ known global optima while both converge on different optimal array excitations that result in very similar objective function fitnesses.

[1]  Yong-Chang Jiao,et al.  Synthesis of Some Low Sidelobe Linear Arrays Using Hybrid Differential Evolution Algorithm Integrated With Convex Programming , 2017, IEEE Antennas and Wireless Propagation Letters.

[2]  Jing J. Liang,et al.  Problem Definitions and Evaluation Criteria for the CEC 2005 Special Session on Real-Parameter Optimization , 2005 .

[3]  E. Jordan,et al.  Electromagnetic Waves and Radiating Systems , 1951 .

[4]  Zahra Atlasbaf,et al.  OPTIMIZATION OF SIDE LOBE LEVEL AND FIXING QUASI-NULLS IN BOTH OF THE SUM AND DIFFERENCE PATTERNS BY USING CONTINUOUS ANT COLONY OPTIMIZATION (ACO) METHOD , 2008 .

[5]  Arnob Ghosh,et al.  OPTIMIZATION OF ANTENNA CONFIGURATION WITH A FITNESS-ADAPTIVE DIFFERENTIAL EVOLUTION ALGORITHM , 2010 .

[6]  Alex S. Fukunaga,et al.  Improving the search performance of SHADE using linear population size reduction , 2014, 2014 IEEE Congress on Evolutionary Computation (CEC).

[7]  Rainer Storn,et al.  Differential Evolution – A Simple and Efficient Heuristic for global Optimization over Continuous Spaces , 1997, J. Glob. Optim..

[8]  Lei Chang,et al.  A Hybrid Method Based on Differential Evolution and Continuous Ant Colony Optimization and its Application on Wideband Antenna Design , 2012 .

[9]  Omar A. Saraereh,et al.  Bio-Inspired Algorithms Applied on Microstrip Patch Antennas: a Review , 2016 .

[10]  Jian Yang On Conditions for Constant Radiation Characteristics for Log-Periodic Array Antennas , 2010, IEEE Transactions on Antennas and Propagation.

[11]  Li Yu,et al.  A novel differential evolution algorithm using local abstract convex underestimate strategy for global optimization , 2016, Comput. Oper. Res..

[12]  Bhaskar Gupta,et al.  Performance Comparison of Differential Evolution, Particle Swarm Optimization and Genetic Algorithm in the Design of Circularly Polarized Microstrip Antennas , 2014, IEEE Transactions on Antennas and Propagation.

[13]  Constantine A. Balanis,et al.  Antenna Theory: Analysis and Design , 1982 .

[14]  Aliakbar Dastranj,et al.  Optimization of a Printed UWB Antenna: Application of the invasive weed optimization algorithm in antenna design. , 2017, IEEE Antennas and Propagation Magazine.

[15]  P. Spandana,et al.  Optimization of Linear Antennas - A Survey , 2017 .

[16]  Ponnuthurai N. Suganthan,et al.  Recent advances in differential evolution - An updated survey , 2016, Swarm Evol. Comput..

[17]  A. Hoorfar Evolutionary Programming in Electromagnetic Optimization: A Review , 2007, IEEE Transactions on Antennas and Propagation.

[18]  Li Zhang,et al.  Worst-Case Tolerance Synthesis for Low-Sidelobe Sparse Linear Arrays Using a Novel Self-Adaptive Hybrid Differential Evolution Algorithm , 2016 .

[19]  Jose Basterrechea,et al.  Synthesis of Planar Arrays Using a Modified Particle Swarm Optimization Algorithm by Introducing a Selection Operator and Elitism , 2009 .

[20]  Robert Lehmensiek,et al.  Constant Radiation Characteristics for Log-Periodic Dipole Array Antennas , 2014, IEEE Transactions on Antennas and Propagation.

[21]  M. F. Pantoja,et al.  Benchmark Antenna Problems for Evolutionary Optimization Algorithms , 2007, IEEE Transactions on Antennas and Propagation.

[22]  Sotirios Goudos,et al.  Antenna Design Using Binary Differential Evolution: Application to discrete-valued design problems. , 2017, IEEE Antennas and Propagation Magazine.

[23]  E.J. Rothwell,et al.  Investigation of Simulated annealing, ant-colony optimization, and genetic algorithms for self-structuring antennas , 2004, IEEE Transactions on Antennas and Propagation.

[24]  P. Rocca,et al.  Differential Evolution as Applied to Electromagnetics , 2011, IEEE Antennas and Propagation Magazine.

[25]  Ponnuthurai Nagaratnam Suganthan,et al.  Problem Definitions and Evaluation Criteria for the CEC 2014 Special Session and Competition on Single Objective Real-Parameter Numerical Optimization , 2014 .

[26]  Alex S. Fukunaga,et al.  Success-history based parameter adaptation for Differential Evolution , 2013, 2013 IEEE Congress on Evolutionary Computation.

[27]  Dongho Kim,et al.  A Mobile Communication Base Station Antenna Using a Genetic Algorithm Based Fabry-Pérot Resonance Optimization , 2012, IEEE Transactions on Antennas and Propagation.

[28]  Y. Kuwahara,et al.  Multiobjective optimization design of Yagi-Uda antenna , 2005, IEEE Transactions on Antennas and Propagation.

[29]  G. Gary Wang,et al.  Survey of modeling and optimization strategies to solve high-dimensional design problems with computationally-expensive black-box functions , 2010 .

[30]  R. Storn,et al.  Differential Evolution - A simple and efficient adaptive scheme for global optimization over continuous spaces , 2004 .

[31]  D. Isbell,et al.  Log periodic dipole arrays , 1960 .

[32]  Carlos A. Brizuela,et al.  A Comparison of Genetic Algorithms, Particle Swarm Optimization and the Differential Evolution Method for the Design of Scannable Circular Antenna Arrays , 2009 .

[33]  G. Mazzarella,et al.  Evolutionary Design of Wide-Band Parasitic Dipole Arrays , 2011, IEEE Transactions on Antennas and Propagation.

[34]  Arthur C. Sanderson,et al.  JADE: Adaptive Differential Evolution With Optional External Archive , 2009, IEEE Transactions on Evolutionary Computation.

[35]  Robert Lehmensiek,et al.  Optimization of Log-Periodic Dipole Array Antennas for Wideband Omnidirectional Radiation , 2015, IEEE Transactions on Antennas and Propagation.

[36]  Eric Michielssen,et al.  Genetic algorithm optimization applied to electromagnetics: a review , 1997 .