Influence of crossover and mutation coefficients on GA optimization of ultrashort pulse duration by criteria of peak voltage maximization in PCB bus

Abstract

Importance of genetic algorithms (GA) usage in the investigation of an ultrashort pulse peak voltage in multiconductor structures of printed circuit boards (PCB) is highlighted. Trapezoidal ultrashort pulse propagation along the conductors of real PCB multiconductor bus was simulated. With the usage of GA, an optimization of the rise, top and fall durations of the ultrashort pulse was made by criteria of peak voltage maximization in the PCB bus. The optimization was launched with the following parameters: the number of chromosomes in population — 5; the number of populations — 26; mutation coefficients — 0.01, 0.03, 0.05 and 0.08 when the crossover coefficient was 0.5; crossover coefficients — 0.1, 0.3, 0.5 and 0.8 when the mutation coefficient was 0.1. A voltage maximum by 38% exceeding the steady state level is revealed and localized with variation of ultrashort rise, top and fall durations when the whole ultrashort pulse duration was near 1.5 ns. An influence of mutation and crossover coefficients variation on the obtained results convergence is shown.