This work suggests to optimize the geometry of a quadrupole magnet by means of a genetic algorithm adapted to solve multi-objective optimization problems. To that end, a non-domination sorting genetic algorithm known as NSGA-III is used. The optimization objectives are chosen such that a high magnetic field quality in the aperture of the magnet is guaranteed, while simultaneously the magnet design remains cost-efficient. The field quality is computed using a magnetostatic finite element model of the quadrupole, the results of which are post-processed and integrated into the optimization algorithm. An extensive analysis of the optimization results is performed, including Pareto front movements and identification of best designs.

翻译：这项工作建议通过一种适应于解决多目标优化问题的遗传算法,优化四极磁铁的几何学。 为此,使用了一种称为NSGA-III的非授精分类遗传算法。 选择优化目标是为了保证磁铁孔径的高磁场质量,同时磁铁设计仍然具有成本效益。 实地质量是使用四极磁铁磁控有限元素模型计算的,该模型的结果经过后处理并纳入优化算法。 对优化结果进行了广泛分析,包括Pareto前方移动和确定最佳设计。