Electromagnetic design of MRI superconducting magnet based on novel hybrid optimization methods

IF 1.3 3区物理与天体物理 Q4 PHYSICS, APPLIED Physica C-superconductivity and Its Applications Pub Date : 2024-02-02 DOI:10.1016/j.physc.2023.1354425

Yunhao Mei , Qingyun Liu , Huiyu Du , Yufu Zhou , Zhengrong Liu , Lei Mo , Bensheng Qiu , Qing Zhang

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Abstract

This paper proposes a novel hybrid optimization algorithm that combines linear programming (LP), genetic algorithm (GA), and nonlinear programming (NLP) to achieve the optimal design of highly homogeneous superconducting magnets for MRI systems. Initially, the predetermined rectangular region is divided into an array of superconductor coils. Then, linear programming is utilized to minimize the consumption of superconducting conductors as the objective function and to obtain the nonzero current regions by considering the field peak-to-peak uniformity in the diameter of the spherical volume (DSV) and the range of the 5 Gauss stray field as constraints. Subsequently, the genetic algorithm is employed to convert the nonzero current regions into coils with rectangular cross-sections. Finally, the NLP is applied to adjust the position of each coil to obtain the magnet criteria. An illustrative example is provided: an actively shielded MRI superconducting magnet with a center field strength of 1.5 T. The effectiveness of this optimization method is demonstrated through the design, electromagnetic analysis, and stress analysis conducted on this example.

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基于新型混合优化方法的磁共振成像超导磁体电磁设计

本文提出了一种结合线性规划（LP）、遗传算法（GA）和非线性规划（NLP）的新型混合优化算法，以实现磁共振成像系统中高度均匀超导磁体的优化设计。首先，将预定的矩形区域划分为超导线圈阵列。然后，利用线性规划将超导导体的消耗量最小化作为目标函数，并将球形体积直径（DSV）中的磁场峰峰值均匀性和 5 高斯杂散磁场的范围作为约束条件，从而获得非零电流区域。随后，采用遗传算法将非零电流区域转换为矩形截面的线圈。最后，应用 NLP 调整每个线圈的位置，以获得磁体标准。本文提供了一个示例：中心场强为 1.5 T 的主动屏蔽磁共振成像超导磁体。通过对该示例进行设计、电磁分析和应力分析，证明了该优化方法的有效性。

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来源期刊

Physica C-superconductivity and Its Applications 物理-物理：应用

CiteScore

2.70

自引率

11.80%

发文量

102

审稿时长

66 days

期刊介绍： Physica C (Superconductivity and its Applications) publishes peer-reviewed papers on novel developments in the field of superconductivity. Topics include discovery of new superconducting materials and elucidation of their mechanisms, physics of vortex matter, enhancement of critical properties of superconductors, identification of novel properties and processing methods that improve their performance and promote new routes to applications of superconductivity. The main goal of the journal is to publish: 1. Papers that substantially increase the understanding of the fundamental aspects and mechanisms of superconductivity and vortex matter through theoretical and experimental methods. 2. Papers that report on novel physical properties and processing of materials that substantially enhance their critical performance. 3. Papers that promote new or improved routes to applications of superconductivity and/or superconducting materials, and proof-of-concept novel proto-type superconducting devices. The editors of the journal will select papers that are well written and based on thorough research that provide truly novel insights.