| 朱徐来,王宗要,张公泉,蒋瑾.三轴亥姆霍兹线圈的优化设计与实现[J].安徽建筑大学学报,2026,34(1):54-62 |
| 三轴亥姆霍兹线圈的优化设计与实现 |
| Optimized Design and Implementation of a Triaxial Helmholtz Coil |
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| DOI： |
| 中文关键词: 亥姆霍兹线圈 非支配排序遗传算法Ⅱ 均匀性优化 功率损耗 |
| 英文关键词: Helmholtz coils Non-Dominated Sorting Genetic Algorithm Ⅱ uniformity optimization power loss |
| 基金项目:国家自然科学基金面上项目（52278191）；安徽省高等学校自然科学研究重点项目（2022AH050245）；安徽建筑大学引进人才（博士）科研启动项目（2022QDZ33） |
| 作者 | 单位 | | 朱徐来 | Anhui Province Key Laboratory of Intelligent Building and Building Energy-saving,Hefei 230022,China；School of Electronic and Information Engineering,Anhui Jianzhu University,Hefei 230022,China | | 王宗要 | Anhui Province Key Laboratory of Intelligent Building and Building Energy-saving,Hefei 230022,China；School of Electronic and Information Engineering,Anhui Jianzhu University,Hefei 230022,China | | 张公泉 | Anhui Province Key Laboratory of Intelligent Building and Building Energy-saving,Hefei 230022,China；School of Electronic and Information Engineering,Anhui Jianzhu University,Hefei 230022,China | | 蒋瑾 | School of Environment and Energy Engineering,Anhui Jianzhu University,Hefei 230601,China |
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| 中文摘要: |
| 三轴亥姆霍兹线圈作为一种典型的均匀磁场发生装置，现有研究主要聚焦于磁场均匀性的优化，而对目标范围内的大体积均匀磁场的优化缺乏系统性探讨。针对这一问题，本文采用基于非支配排序遗传算法Ⅱ的多目标优化方法，以线圈几何参数与激励电流为优化变量，同时以磁场均匀性、导体体积及总功率损耗最小化为优化目标，实现了目标范围内均匀磁场线圈参数的全局优化。此外，本文还推导了可快速计算的实用公式，显著提升了设计效率。实验中优化的三轴亥姆霍兹线圈的总功率损耗仅相当于传统线圈42% ~ 45%，导体体积相当于传统线圈40% ~ 43%，同时磁场均匀性降低了 0.10 ~ 0.22。通过 MATLAB数值仿真与 Ansys有限元分析的双重验证，证实了该优化方法的有效性与工程适用性。 |
| 英文摘要: |
| The three-axis Helmholtz coil, a prominent device for generating uniform magnetic fields, has primarily focused on optimizing field uniformity in existing research; however, it lacks a systematic exploration of how to optimize large-volume uniform magnetic fields within the desired range. To address this gap, the present paper employs a multi-objective optimization method based on the NonDominated Sorting Genetic Algorithm Ⅱ, utilizing coil geometry parameters and excitation current as the optimization variables. The objectives of this study include maximizing magnetic field uniformity, minimizing conductor volume, and reducing total power loss. The ultimate aim is to achieve global optimization of the coil parameters within the target range. Furthermore, this study presents practical formulas that can be calculated expeditiously, thereby significantly enhancing design efficiency. The experimental findings demonstrate that the total power loss of the optimized three-axis Helmholtz coil is 42% to 45% of that of traditional coils, while the conductor volume corresponds to 40% to 43% of traditional values. Concurrently, the magnetic field uniformity undergoes a decline, ranging from 0.10 to 0.22. The efficacy and engineering applicability of this optimization approach are substantiated by dual verification through MATLAB numerical simulations and ANSYS finite element analysis. |
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