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非对称齿磁阻式旋转变压器的研究
Research on Variable Reluctance Resolver with Asymmetric Teeth on the Stator
【作者】 邹鹏;
【作者基本信息】 哈尔滨工业大学 , 电气工程, 2012, 硕士
【摘要】 磁阻式旋转变压器作为电磁式位置传感器,因其结构简单、可靠性高、输出电压幅值高和价格便宜等优点,广泛地应用在交流伺服系统和电动车领域。但是当微小尺寸的磁阻式旋转变压器应用于狭小空间时,若定子齿数过多,绕组下线将十分困难。因此,本文研究了一种定子齿数最少的新型结构磁阻式旋转变压器,对非对称齿磁阻式旋转变压器的工作原理、数值分析、结构优化、误差分析与实验测试等问题进行了研究。本文首先采用解析分析的方法研究了非对称齿磁阻式旋转变压器的工作原理。在转子极对数与相邻齿间机械角度的配合规律基础上,得出了定子四齿磁阻式旋转变压器的结构。为了消除非有效电势对输出绕组感应电势的影响,引入了补偿齿和补偿绕组,得出了非对称齿磁阻式旋转变压器的结构。针对正余弦补偿绕组匝数的计算问题,推导出了解析计算的表达式。采用有限元计算的方法对定子四齿磁阻式旋转变压器和非对称齿磁阻式旋转变压器进行了研究,分析了两种磁阻式旋转变压器的气隙磁导和输出绕组感应电势。计算结果表明,非对称齿磁阻式旋转变压器可以输出两相正交、幅值相等的正余弦信号。通过解析表达式计算得到的正余弦补偿绕组匝数与有限元计算筛选结果相吻合,证明了解析分析和数值分析的正确性。理论上,补偿齿的空间位置具有任意性。研究了非对称齿磁阻式旋转变压器的结构优化问题,采用有限元计算的方法对气隙长度、转子形状、定子齿宽和定子补偿齿高等参数进行了优化。在得到各个参数局部最优值的基础上,分析了局部最优值与全局最优值之间的关系,得出了非对称齿磁阻式旋转变压器的综合优化方案。最后分析了工艺性误差对非对称齿磁阻式旋转变压器精度的影响,采用有限元计算的方法得到了转子偏心、定子偏心、混合偏心、激磁绕组偏移和输出绕组偏移时的电气误差曲线。通过对实验样机的测试,得到了输出绕组感应电势的实测波形和零位误差曲线。
【Abstract】 As electromagnetic rotor position sensor of motor, variable reluctance (VR)resolver, which has simple structure, small axial dimension, high reliability, highamplitude of output voltage, low cost and relatively high precision, is widely used inAC governor system with high dynamic performance and electric vehicle.Unfortunately, when VR resolvers are applied in a small and narrow space, insertingcoils is of great difficulty because thin copper wires are too fragile and the spaceinside the resolver for inserting coils manually is too limited to accomplish thataccurately and conveniently as a result of too many tooth on the stator. Thus, a novelVR resolver with asymmetric teeth on the stator, which has a minimal number ofactive teeth and the simplest structure, is proposed to reduce the size of the devicewhile simplifying its construction. The principle, numerical analysis, structureoptimization, error analysis and experimental test of the novel VR resolver areresearched.First of all, the working principle of VR resolver with asymmetric tooth on thestator is studied by analytical method in this paper. Based on the principle ofslot-pole combination, the VR resolver with four teeth on the stator is obtained. Inorder to eliminate the effect of the null voltage, the asymmetric tooth andcompensating coils are brought and the VR resolver with asymmetric teeth on thestator is proposed. By deducing the analytical expression, the number of turns of theSIN and COS compensating coils can be calculated theoretically.Based on Finite Element Analysis (FEA), the VR resolver with four teeth onthe stator and VR resolver with asymmetric tooth on the stator is researched. Theair-gap permeance and output voltages of these two resolvers are analyzed. Thecomputing results show that the VR resolver with asymmetric teeth on the stator caninduce two amplitude-equal output voltages in quadrature. The analytical results andcalculations of the turns of SIN and COS compensating coils are nearly identical.Those results prove the validities of analytical method and FEA. The locationchosen for the asymmetric tooth on the stator is arbitrary theoretically.The structure optimization of VR resolver with asymmetric tooth on the statoris studied. Based on FEA, the length of air-gap, the shape of rotor, the width of teethon the stator and the height of compensating tooth are optimized. After each localoptimum is acquired and the relation of local optimum and global optimum areanalyzed, the global optimum of VR resolver with asymmetric tooth on the stator isresearched.Finally, the effects of technology errors of VR resolver with asymmetric tooth on the stator are investigated. Based on FEA, the electric error curves of statoreccentricity, rotor eccentricity, hybrid eccentricity, the move of reference windingsand the move of signal wingdings are computed. The prototype is manufactured andtested. The waveforms of output voltages of signal windings are recored by TEKoscilloscope. The zero-error curve is measured by high-precision digital gratingoptical dividing head.
【Key words】 variable reluctance resolver; asymmetric tooth; compensating coil; erroranalysis; structure optimization;
- 【网络出版投稿人】 哈尔滨工业大学 【网络出版年期】2014年 04期
- 【分类号】TM383.2
- 【被引频次】9
- 【下载频次】490