基于Pareto优化理论的多目标超椭梯度线圈设计

发布时间：2018-04-15 00:15

本文选题：梯度线圈 + 流函数　；参考：《物理学报》2017年09期

【摘要】：磁共振系统梯度线圈设计是一个多目标优化问题,在设计时需要综合考虑能耗、磁场能、线性度等设计要求.这些设计要求通常难以同时获得极小解,因此在设计梯度线圈时需要权衡线圈的各方面的设计需求.本文基于柱面可展性和流函数设计方法,结合Pareto优化方法实现了在超椭圆柱设计表面上梯度线圈的多目标设计.分别分析了磁场能、能耗目标对梯度线圈线性度、线圈构型的影响;并在Pareto解空间中分析各目标的相互变化关系,通过数值算例验证了该方法在超椭梯度线圈设计时的有效性与灵活性.优化结果显示,在满足线性度误差小于5%,能耗与磁场能分别小于用户设定值的设计约束下,梯度线圈的多目标设计存在多个局部优化解.该方法可以直观地比较相同目标函数值的情况下各单目标的具体表现,有利于实现不同的设计要求下梯度线圈的最终定型设计.
[Abstract]:Magnetic resonance gradient coil system design is a multi-objective optimization problem, when the design needs to consider energy, magnetic field energy, linearity and other design requirements. These requirements are often difficult to simultaneously obtain minimal, so the design demand the trade-off needs in the design of gradient coil coil. The cylindrical developable and stream function the design method based on the combination of Pareto optimization method in multi-objective design of super elliptic cylinder design on the surface gradient coil are analyzed. The magnetic field energy and energy consumption target of gradient coil linearity, influence of coil configuration; and in the Pareto solution of the relationship between the variation analysis of the target space, the numerical results show that the proposed the method is effective and flexible in superelliptical gradient coil design. The optimization results show that to meet the linearity error is less than 5%, energy consumption and magnetic field are less than the preset value. There are multiple local optimization solutions for multi-objective design of gradient coils under the constraint of the meter. This method can visually compare the performance of each single target under the same objective function value, which is beneficial to achieve the final design of the gradient coil under different design requirements.

【作者单位】：中国科学院长春光学精密机械与物理研究所;中国科学院大学;德国弗莱堡大学医学院医学中心放射学系;
【基金】：国家自然科学基金(批准号:51675506,51275504) 吉林省科技发展计划(批准号:20140519007JH) 欧洲研究理事会ERC启动基金RANGEmri 282345项目资助的课题~~
【分类号】：O482.531;O441.2

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