Analytical and Physical Modeling of the Magnetically Active Part of a Linear Electric Generator with Permanent Magnets

Robotics eJournal Pub Date : 2020-06-30 DOI:10.15587/1729-4061.2020.205154

O. Rezinkin, A. Getman, S. Buryakovskiy, Borys Kubrik

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Abstract

Linear electric generators are increasingly used in autonomous systems that require a compact source of electricity and when it is necessary to simplify mechanisms of power systems. To study the characteristics of a linear electric generator, an analytical model of its magnetically active part was proposed. The model is based on the assumption of the periodicity of linear translational motion of the armature relative to the stationary cylindrical winding. Based on the representation of the magnetic field of the generator’s armature by cylindrical harmonics of the scalar potential, the magnetic flux generated by the inductor was analyzed. The inductor design contains several pairwise oppositely oriented cylindrical permanent magnets. The use of representations based on cylindrical harmonics for the magnetic flux and EMF induced in a circular circuit has made it possible to substantiate the rational number of cylindrical armature magnets and their geometric parameters. The losses caused by the technological necessity of using annular magnets instead of solid continuous cylindrical ones with the same overall dimensions were estimated. Analysis of losses of the magnetic flux linkage with the current winding resulting from the presence of technologically necessary clearance between the permanent magnets and the winding sections was carried out. An analysis of arrangement and switching of the winding sections was carried out. It has made it possible to justify the choice of rational cross-sectional dimensions. For experimental verification of the analytically obtained results, a physical model of a linear electric generator with an armature containing permanent cylindrical magnets was designed. Its translational periodic movement was provided through an external electric drive. Analysis of the EMF dependences recorded with a digital oscilloscope with a small (5 %) error has confirmed the obtained analytical results and correctness of the theses underlying the model

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永磁体线性发电机磁活动部分的分析与物理建模

线性发电机越来越多地应用于需要紧凑电源的自治系统中，当有必要简化电力系统的机制时。为了研究线性发电机的特性，建立了线性发电机磁活动部分的解析模型。该模型基于电枢相对于静止圆柱绕组的线性平移运动的周期性假设。在用标量电位的圆柱谐波表示发电机电枢磁场的基础上，分析了电感器产生的磁通量。电感器的设计包含几个成对的相反定向的圆柱形永磁体。利用圆柱谐波表示圆形电路中感应的磁通量和电动势，可以确定圆柱电枢磁体的有理数及其几何参数。估计了采用环形磁体代替整体尺寸相同的固体连续圆柱形磁体的技术必要性所造成的损耗。分析了由于永磁体和绕组部分之间存在技术上必要的间隙而导致的与当前绕组的磁通链的损失。对绕组段的布置和切换进行了分析。它使选择合理的横截面尺寸成为可能。为了对解析得到的结果进行实验验证，设计了含永圆柱磁体电枢的线性发电机的物理模型。它的平移周期运动是通过外部电力驱动提供的。用数字示波器对记录的电动势相关性进行了分析，误差很小(5%)，证实了所获得的分析结果和模型基础论文的正确性

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Robotics eJournal

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