An Enhanced Ellipsoid Method for Electromagnetic Devices Optimization and Design

This paper proposes a novel ellipsoid method for the optimization of electromagnetic constrained problems. Unlike the classical method, which can apply only one cut per iteration, this novel algorithm can employ multiple cuts simultaneously. This improves the convergence rate while preserving all theoretical guarantees of the original method. The design of modelled reflector antennas for optimal coverage of the Brazilian, Chinese, and American territories is presented. These problems have 38 control variables and numerous constraints (18, 11, and 12). Several results are presented for the enhanced and classical ellipsoid methods, as well as for stochastic algorithms. They assert the efficiency of the introduced technique.