围绕金属管适配器的同轴线圈中的阻抗变化
Yao Luo1,2, Xinyi Yang1,2
1State Key Laboratory of Power Grid Environmental Protection, School of Electrical Engineering and Automation, Wuhan University, Wuhan 430072, China.
Sensors (Basel, Switzerland)
|October 14, 2023
概括
研究人员研究了金属管周围的感应线圈中的阻抗变化. 一种经过修改的截断区域自函数扩展 (TREE) 方法,与有限元素方法 (FEM) 相结合,克服了准确结果的数值挑战.
科学领域:
- 电磁学 电磁学 电磁学 电磁学
- 计算物理 计算物理
背景情况:
- 在导电材料周围的感应线圈中调查阻抗变化对于非破坏性测试和无线电力传输等应用至关重要.
- 截断区域自函数扩展 (TREE) 方法是一种强大的分析技术,用于解决电磁边界值问题.
- 传统的TREE在应用于具有多个材料接口的复杂几何形状时面临数值不稳定性,例如空气-金属区域.
研究的目的:
- 为了解决传统TREE方法在分析围绕金属管的感应线圈阻抗方面的局限性.
- 开发一种强大而高效的数值方法,用于在此类配置中进行准确的阻抗计算.
- 根据已建立的数值技术验证拟议的方法.
主要方法:
- 该研究采用了修改后的截断区域自身函数扩展 (TREE) 方法.
- 引入了一种规范化程序,以处理空气-金属多子域区域中自函数的数值溢出.
- 使用1D有限元法 (FEM) 来获得数值自函数.
- 克伦肖-库蒂斯二次法则是为了有效地整合数值固有函数而实施的.
主要成果:
- 修改后的TREE方法成功克服了传统方法所遇到的数值溢出问题.
- 从FEM获得的数值固有函数被有效地规范化,用于TREE框架内.
- 开发的算法在计算涉及数值自函数的整数方面表现出高效率.
- 使用提议的TREE-FEM方法进行的模拟显示与传统FEM结果有很好的一致性.
结论:
- 一种结合TREE和FEM的强大和高效的数值方法已成功开发,用于分析金属管周围的感应线圈阻抗.
- 规范化程序有效地解决了数值不稳定性,将TREE方法的适用性扩展到复杂的电磁问题.
- 拟议的方法为涉及导电几何体的电磁模拟提供了一个计算效率高,准确的替代方案.
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