考虑端部效应的电磁直线执行器解析建模方法
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国家自然科学基金(52375105,52305265,52411540234);山东省自然科学基金(ZR2022YQ51,ZR2023ME177);山东省重大科技创新工程项目(2023CXGC010211)


Analytical modeling method for electromagnetic linear actuators considering end effects
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    摘要:

    针对动圈式电磁直线执行器端盖的高导磁特性会引起端部磁场畸变,使执行器的推力产生波动,从而导致解析不准确的问题,提出了一种伪周期法与磁矢势法结合的磁场解析建模方法。考虑到端部效应,在伪周期内向永磁体及绕组阵列两侧扩展虚拟阵列以补偿端部磁路,并以傅里叶级数的形式推导出开路及电枢反应的磁场分布解析式;在此基础上,通过洛伦兹力法推导出电磁推力的解析表达式。结果表明:与有限元值相比,忽略端盖时推力解析值的最大误差为9.04%,而考虑端部效应时推力解析值的最大误差为3.97%,验证了所提方法的有效性;实验平均相对误差为3.77%,验证了所提方法的正确性。该方法能有效考虑端盖对磁场畸变的影响,为快速精确地求解电磁直线执行器电磁特性、优化结构参数及控制过程提供了理论参考。

    Abstract:

    In order to solve the problem of magnetic field distortion caused by the high magnetic permeability of the end cover of moving coil electromagnetic linear actuator, which leads to fluctuations in the thrust of actuator and the inaccuracy of the analytical solution, a magnetic field analytical modeling method combining the pseudo-period method and the magnetic vector potential method was proposed. Considering the end effect, the virtual array was extended to both sides of the permanent magnet and winding array in the pseudo-period to compensate the end magnetic circuit, and the analytical expressions of the magnetic field distribution of the open circuit and armature reaction were derived in the form of Fourier series. On this basis, the analytical expression of electromagnetic thrust was derived by Lorentz force method. The results show that compared with finite element simulation, the maximum error of the analyzed thrust value is 9.04% when ignoring the end cap, while the maximum error of the analyzed thrust value is 3.97% when considering the end effect, which verifies the effectiveness of the proposed method; the average relative error of the experiment is 3.77%, which verifies the correctness of the proposed method. This method can effectively consider the influence of the end cap on the magnetic field distortion, which provides theoretical reference for solving the electromagnetic characteristics of the electromagnetic linear actuator quickly and accurately, optimizing the structural parameters and the control process.

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李钰鑫,李 波,葛文庆,陆佳瑜,陈杰炜.考虑端部效应的电磁直线执行器解析建模方法[J].河北科技大学学报,2025,46(4):366-374

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  • 收稿日期:2025-01-08
  • 最后修改日期:2025-03-10
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  • 在线发布日期: 2025-07-25
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