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A 2D hybrid analytical electromagnetic model of the dual-stator axial-field flux-switching permanent magnet motor 双定子轴向磁场磁通开关永磁电机的二维混合分析电磁模型
IF 1.7 4区 工程技术 Q2 Engineering Pub Date : 2023-11-05 DOI: 10.1049/elp2.12385
Fariba Farrokh, Abolfazl Vahedi, Hossein Torkaman, Mahdi Banejad, Vahid Zamani Faradonbeh

The two-dimensional (2D) analytical model for the calculation of the components of the flux density distribution in the air gap in a dual-stator axial-field flux-switching permanent magnet (PM) motor (DSAFFSPM) is presented. The novelties of this study are deriving a 2D hybrid analytical model and replacing the rotor teeth with some surface currents for the calculation of air-gap magnetic flux density for the first time in the DSAFFSPM motor. The 2D analytical model for DSAFFSPMs is more challenging due to the doubly salient structure and inner PM of the stator. 1D analytical interior PMs are first transferred to the bore of the stator body using the magnetic equivalent circuit model (MEC). Next, the effects of the rotor teeth are taken into consideration by injecting virtual surface currents for 2D analytical model. Applying boundary conditions and solving the Laplace/Poisson equations, the vertical and tangential flux components of the flux density distribution in the air-gap DSAFFSPM motor are computed. The verification of the proposed method and the obtained results are validated by the 3D finite element method.

本文介绍了计算双定子轴向磁通开关永磁(PM)电机(DSAFFSPM)气隙磁通密度分布成分的二维(2D)分析模型。本研究的新颖之处在于首次在 DSAFFSPM 电机中推导出二维混合分析模型,并用一些表面电流代替转子齿来计算气隙磁通密度。由于定子的双突出结构和内部 PM,DSAFFSPM 的二维分析模型更具挑战性。首先使用磁等效电路模型 (MEC) 将一维分析内部 PM 转移到定子机身内孔。然后,在二维分析模型中注入虚拟表面电流,以考虑转子齿的影响。应用边界条件并求解拉普拉斯/泊松方程,计算出了气隙 DSAFFSPM 电机中磁通密度分布的垂直和切向磁通分量。三维有限元法验证了所提方法和所得结果。
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引用次数: 0
Modified magnetic equivalent circuit of double-stator single-rotor axial flux permanent magnet machine considering stator radial-end flux-leakage 考虑定子径向端漏磁通的双定子单转子轴向磁通永磁机的修正磁等效电路
IF 1.7 4区 工程技术 Q2 Engineering Pub Date : 2023-11-01 DOI: 10.1049/elp2.12379
Jixuan Chen, Wei Hua, Lingyun Shao, Zhongze Wu, Xueyi Yan, Wentao Zhang

A modified non-linear magnetic equivalent circuit (MEC) model is presented for double-stator single-rotor axial flux permanent magnet (AFPM) (DSSR-AFPM) machine considering stator radial-end flux-leakage, which is severer under a heavier load. Compared to the conventional MEC model for DSSR-AFPM machine, the proposed model can predict the electromagnetic performance more accurately when the machine operates under a heavy load. The proposed MEC model is verified by the finite element analysis (FEA) on a 24-slot/20-pole DSSR-AFPM machine. The comparison results show that the relative error between the proposed MEC model and FEA is <4% for back electromotive force and <5% for average electromagnetic torque, respectively. Specifically, the relative error of the average torque for the modified MEC model is 4.92% at 28.30 Arms/mm2 slot current density, which is lower than the conventional MEC model, that is, 7.75%.

本文针对双定子单转子轴向磁通永磁(AFPM)(DSSR-AFPM)机器提出了一种改进的非线性磁等效电路(MEC)模型,该模型考虑到了定子径向端漏磁通(在重负载下漏磁通更为严重)。与 DSSR-AFPM 机器的传统 MEC 模型相比,所提出的模型能更准确地预测机器在重负载下运行时的电磁性能。通过对 24 槽/20 极 DSSR-AFPM 机器进行有限元分析 (FEA) 验证了所提出的 MEC 模型。比较结果表明,所提出的 MEC 模型与有限元分析之间在反向电动势和平均电磁转矩方面的相对误差分别为 <4%和 <5%。具体而言,在 28.30 Arms/mm2 槽电流密度条件下,改进的 MEC 模型的平均扭矩相对误差为 4.92%,低于传统 MEC 模型的 7.75%。
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引用次数: 0
Incorporating the coupled effects of slot opening, armature reaction and saturation in the model of the airgap flux density distribution of permanent magnet synchronous machines 在永磁同步电机气隙磁通密度分布模型中纳入槽口开度、电枢反应和饱和的耦合效应
IF 1.7 4区 工程技术 Q2 Engineering Pub Date : 2023-11-01 DOI: 10.1049/elp2.12384
Mojtaba Babaei, Mojtaba Feyzi, Abbas Nazari Marashi

A new analytic model for calculating of the air-gap flux density (AGFD) of surface-mounted permanent magnet synchronous machines (SMPMSMs) is presented. This proposed model is capable to taking into account the effects of magnetic saturation, armature reaction and stator slots opening. Furthermore, the real form of air-gap distribution and spatial distribution of flux density of the PM poles are considered. The armature reaction effect is modeled using phasor diagram analysis of the motor as a function of the load torque, the armature current amplitude, power factor and the inverse air gap length. Also, saturation phenomenon predicted using the new non-linear proposed function in connection with the armature reaction effects and the properties of the lamination material. It is shown that the proposed model capable to predicting acceptably the air gap flux density waveform of the SMPMSMs at lagging and leading power factors and with the load torque variation. The presented analytical approach is verified by the two-dimensional finite-element analysis (FEA) results.

本文提出了一种新的分析模型,用于计算表面贴装式永磁同步电机(SMPMSMs)的气隙磁通密度(AGFD)。该模型能够考虑磁饱和、电枢反作用力和定子槽开口的影响。此外,还考虑了气隙分布的实际形式和永磁极磁通密度的空间分布。电枢反作用是通过电机相量图分析来模拟的,它是负载转矩、电枢电流幅值、功率因数和反气隙长度的函数。此外,还利用新的非线性函数,结合电枢反应效应和层压材料的特性,预测了饱和现象。结果表明,所提出的模型能够预测 SMPMSM 在滞后和领先功率因数以及负载转矩变化时的气隙磁通密度波形。二维有限元分析 (FEA) 结果验证了所提出的分析方法。
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引用次数: 0
Research on dual-winding permanent magnet generator system with integrated dual-channel controller 带集成双通道控制器的双绕组永磁发电机系统研究
IF 1.7 4区 工程技术 Q2 Engineering Pub Date : 2023-10-31 DOI: 10.1049/elp2.12364
Jianbin Han, Zhuoran Zhang

This article presents a dual-winding permanent magnet generator (PMG) system with integrated dual-channel controller to meet the requirements of high power density, high reliability, and high output performance of aircraft electric power system. The dual-winding of the PMG are designed to have the same phase spatially, with which the same rotor position can be applied in independent vector control. In addition, a dual-channel controller is applied to control the two sets of windings, which achieves high-performance control under normal state and fault-tolerant control under fault state. The integrated dual-channel controller integrates two sets of main power circuits into one controller and uses a main control unit, which simplifies the PMG system leading to reduction in the overall volume and weight. Reliability analysis of dual-winding PMG system is proposed to be compared with that of the single-winding PMG system. A dual-winding cooperative control strategy and a fault-tolerant control strategy are proposed to achieve high-performance control of DC-link voltage under normal condition and redundant functions under fault condition. As a result, the reliability of the PMG system is improved. The experimental results validate the effectiveness of the proposed PMG system and the control strategy.

本文介绍了一种集成双通道控制器的双绕组永磁发电机系统,以满足飞机电力系统对高功率密度、高可靠性和高输出性能的要求。永磁发电机的双绕组在空间上具有相同的相位,因此可以对相同的转子位置进行独立的矢量控制。此外,还采用了双通道控制器来控制两组绕组,从而实现了正常状态下的高性能控制和故障状态下的容错控制。集成式双通道控制器将两套主功率电路集成到一个控制器中,并使用一个主控制单元,从而简化了永磁发电机系统,减少了整体体积和重量。提出了双绕组永磁发电机系统的可靠性分析,并与单绕组永磁发电机系统进行了比较。提出了双绕组协同控制策略和容错控制策略,以实现正常情况下对直流链路电压的高性能控制和故障情况下的冗余功能。因此,永磁发电机系统的可靠性得到了提高。实验结果验证了所提出的永磁发电机系统和控制策略的有效性。
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引用次数: 0
Investigation of transmission characteristic for harmonic magnetic gears considering dynamic eccentricity using magnetic equivalent circuit 利用磁性等效电路研究考虑动态偏心的谐波磁齿轮的传动特性
IF 1.7 4区 工程技术 Q2 Engineering Pub Date : 2023-10-26 DOI: 10.1049/elp2.12383
Bingchu Li, Jiahao Shi, Shuangyuan Wang, Chengliang Liu

Harmonic magnetic gears (HMGs) have the advantage of lubrication-free, high speed ratio and high torque density, which make it an attractive solution for safety critical applications. Due to eccentricity caused by machining and assembly, HMG suffers from dynamic eccentricity (DE) in operation, however, its effect on HMG performance is still unknown. Transmission characteristic of HMG under DE is studied. First, a magnetic equivalent circuit (MEC) model of HMG is proposed to build the magnetic coupling torque analytically, and the geometry of air gap is analysed parametrically to derive its equivalent reluctances. Flux density and coupling torque can be acquired by solving MEC equations. The accuracy of the MEC model is verified by finite element method. To study the transmission characteristic, an electromechanical coupling simulation framework for HMG is constructed, motion trajectories of rotors are investigated in case of DE, the output torque in locked-rotor condition and speed response in continuous operation can be derived by simulation. It is found that torque ripples that have the same frequency with input rotor are induced by DE; the results are then verified in the experiment. This paper provides a theoretical guidance for the design and condition monitoring of HMG.

谐波磁力齿轮(HMG)具有无润滑、高速比和高扭矩密度的优点,这使其成为安全关键应用的一种极具吸引力的解决方案。由于加工和装配造成的偏心,谐波磁齿轮在运行中会出现动态偏心(DE),但其对谐波磁齿轮性能的影响尚不清楚。本文研究了动态偏心情况下 HMG 的传动特性。首先,我们提出了一个 HMG 的磁等效电路 (MEC) 模型,以分析建立磁耦合力矩,并对气隙的几何形状进行了参数分析,从而推导出其等效磁阻。通过求解 MEC 方程,可获得磁通密度和耦合转矩。有限元法验证了 MEC 模型的准确性。为了研究传动特性,构建了一个用于 HMG 的机电耦合仿真框架,研究了 DE 情况下转子的运动轨迹,通过仿真得出了锁定转子条件下的输出转矩和连续运行时的速度响应。研究发现,DE 会诱发与输入转子频率相同的扭矩波纹,并在实验中验证了这些结果。本文为调速发电机的设计和状态监测提供了理论指导。
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引用次数: 0
AC losses calculation of parallel multi-strand flat wire windings for automotive drive motor 汽车驱动电机并联多股扁线绕组的交流损耗计算
IF 1.7 4区 工程技术 Q2 Engineering Pub Date : 2023-10-26 DOI: 10.1049/elp2.12371
Peipei Yang, Yanping Liang, Jia Liu, Ke Zhang

Automobile drive motor with flat wire winding has improved the slot fill factor and efficiency. However, under the current environment of drive motors development to high frequency and voltage, the increase in winding AC loss has weakened those advantages. Accurate analysis of AC loss and the design of high-performance windings have become the key issues and difficulties in the design process of drive motors. Based on the winding AC loss generation mechanism, the authors propose a winding AC loss analysis method, which can effectively separate DC loss, eddy current loss, and circulating current loss. The method is used to analyse winding AC loss of 60 kW flat wire winding permanent magnet synchronous motor (PMSM). In addition, parallel multi-strand flat wire windings are proposed to reduce the winding AC loss and eliminate the limitation of the magnetic load of the motor on the selection of winding layers. The AC loss of the parallel multi-strand flat wire windings at different frequencies is calculated, which demonstrates the effectiveness of the proposed winding topology in reducing the winding AC loss. In addition, the correctness of the simulation model was verified through experiments, and the loss calculation method was verified through finite element analysis.

采用扁线绕组的汽车驱动电机提高了槽填充系数和效率。然而,在当前驱动电机向高频率、高电压发展的环境下,绕组交流损耗的增加削弱了这些优势。准确分析交流损耗、设计高性能绕组已成为驱动电机设计过程中的重点和难点。作者基于绕组交流损耗的产生机理,提出了一种绕组交流损耗分析方法,该方法能有效分离直流损耗、涡流损耗和环流损耗。该方法用于分析 60 kW 扁线绕组永磁同步电机(PMSM)的绕组交流损耗。此外,还提出了并联多股扁线绕组,以降低绕组交流损耗,消除电机磁负荷对绕组层数选择的限制。计算了并联多股扁线绕组在不同频率下的交流损耗,证明了所提出的绕组拓扑结构在降低绕组交流损耗方面的有效性。此外,还通过实验验证了仿真模型的正确性,并通过有限元分析验证了损耗计算方法。
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引用次数: 0
A review on the field-modulated magnetic gears: Development status, potential applications, and existent challenges 场调制磁齿轮综述:发展现状、潜在应用和现有挑战
IF 1.7 4区 工程技术 Q2 Engineering Pub Date : 2023-10-26 DOI: 10.1049/elp2.12365
Bo Yan, Xianglin Li, Xiuhe Wang, Yubo Yang

As a type of magnetic device being able to realize contact-free power transmission together with sufficient volumetric torque density, the field-modulated magnetic gear (FMMG) has become a promising alternative to the mechanical gear having rigid construction yet suffering lots of issues generated by the continuous teeth friction. The conventional magnetic gears (MGs) that behave as simple copies of their mechanical counterparts and can be roughly defined as origination of the FMMG are briefly introduced at first. Subsequently, the topology and material advancements proposed to improve operational performance of the FMMG are comprehensively summarised so as to clarify its current development status. Finally, potential applications of the FMMG due to its inherent advantages are compared against the existent challenges. The review aims to provide referable guidelines for researchers working at the field of high-performance MGs.

磁场调制磁齿轮(FMMG)作为一种能够实现无接触动力传输和足够体积扭矩密度的磁性装置,已成为具有刚性结构但因持续齿摩擦而产生大量问题的机械齿轮的一种有前途的替代品。本文首先简要介绍了传统的磁齿轮(MGs),这些齿轮是机械齿轮的简单复制品,可以粗略地定义为 FMMG 的起源。随后,全面总结了为提高 FMMG 运行性能而提出的拓扑结构和材料进步,以阐明其目前的发展状况。最后,将 FMMG 因其固有优势而具有的潜在应用与现有挑战进行了比较。本综述旨在为高性能 MG 领域的研究人员提供可参考的指南。
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引用次数: 0
Short-circuit current difference of parallel strands in winding turns and its influence on the distribution of electromagnetic force 绕组匝数平行股的短路电流差及其对电磁力分布的影响
IF 1.7 4区 工程技术 Q2 Engineering Pub Date : 2023-10-25 DOI: 10.1049/elp2.12377
Yi Zhao, Jian Si, Mingkai Jin, Tao Wen, Penghong Guo, Weijiang Chen

Transformer winding turns often consist of multiple parallel strands. The spatial position variation of each strand affects the leakage inductance of each branch, resulting in an uneven distribution of short-circuit currents within the winding turns. And this unevenness persists even when transposition structures are implemented. Traditional methods in transformer analysis frequently overlooked the distribution characteristics of short-circuit currents when calculating electromagnetic forces. A frequency-domain calculation method for analysing the current distribution in winding turns was proposed, with a deviation of less than 3% compared to existing analysis methods. Two typical 110 kV transformer models were utilised to investigate the influence of uneven current distribution on the spatial distribution of electromagnetic forces. The spatial distribution of short-circuit electromagnetic forces in low-voltage (LV) windings exhibited significant changes, with maximum change rates of 10% and 61.2% for axial and radial electromagnetic force, respectively, in a LV winding with 4 parallel strands. The research also analysed how strand radial width and axial height affect current distribution unevenness and proposed specific design principles to mitigate these disparities in winding design. The findings offer valuable insights for selecting structural parameters and assessing short-circuit stability during transformer design.

变压器绕组匝数通常由多条并联支线组成。各股的空间位置变化会影响各分支的漏感,从而导致绕组匝内短路电流分布不均。即使采用换位结构,这种不均匀性也会持续存在。传统的变压器分析方法在计算电磁力时经常忽略短路电流的分布特性。本文提出了一种分析绕组匝间电流分布的频域计算方法,与现有分析方法相比,偏差小于 3%。利用两个典型的 110 kV 变压器模型研究了电流分布不均对电磁力空间分布的影响。低压(LV)绕组中短路电磁力的空间分布发生了显著变化,在 4 股并联的低压绕组中,轴向电磁力和径向电磁力的最大变化率分别为 10%和 61.2%。研究还分析了绞线径向宽度和轴向高度如何影响电流分布的不均匀性,并提出了具体的设计原则,以减少绕组设计中的这些差异。研究结果为变压器设计过程中选择结构参数和评估短路稳定性提供了宝贵的见解。
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引用次数: 0
A peak time shifting phenomenon in transformer axial short-circuit electromagnetic force due to the coupling of electromagnetic-axial vibration 电磁-轴振动耦合导致的变压器轴向短路电磁力峰值时移现象
IF 1.7 4区 工程技术 Q2 Engineering Pub Date : 2023-10-24 DOI: 10.1049/elp2.12381
Yi Zhao, Mingkai Jin, Tao Wen, Penghong Guo, Weijiang Chen

Accurately calculating axial electromagnetic force is essential to analyse transformer winding axial stability. Prior research has mainly focused on the effect of winding structure on static axial electromagnetic force and studying vibration by substituting the static force in a time-varying function. However, the coupling effect between axial electromagnetic force and winding vibration has not been addressed, and no calculation method for the axial electromagnetic force that considers both winding meso-structures and vibration coupling effects has been proposed. Previously the authors presented an electromagnetic force calculation model that considers winding structure characteristics, and an iterative algorithm for magnetic-structure coupling calculation. Currently, the winding vibration model was first proposed and the dynamic calculation method was formulated. By applying the method to a typical 110kV transformer, the spatial-temporal distribution of winding axial short-circuit electromagnetic force was obtained. It was found that the peak value of the axial short-circuit electromagnetic force of some windings appears at the second or third peak moment of the short-circuit current, which is called as peak time shift phenomenon. Further stress analysis indicates that existing evaluation methods may overestimate the short-circuit resistance of windings by only considering short-circuit electromagnetic force under maximum peak of short-circuit current.

准确计算轴向电磁力对于分析变压器绕组的轴向稳定性至关重要。之前的研究主要集中在绕组结构对静态轴向电磁力的影响,以及通过将静态力代入时变函数来研究振动。然而,轴向电磁力与绕组振动之间的耦合效应尚未得到解决,也没有提出同时考虑绕组中间结构和振动耦合效应的轴向电磁力计算方法。在此之前,作者提出了考虑绕组结构特征的电磁力计算模型,以及磁结构耦合计算的迭代算法。目前,首先提出了绕组振动模型,并制定了动态计算方法。将该方法应用于典型的 110kV 变压器,得到了绕组轴向短路电磁力的时空分布。结果发现,部分绕组轴向短路电磁力的峰值出现在短路电流的第二或第三个峰值时刻,即峰值时移现象。进一步的应力分析表明,现有的评估方法只考虑短路电流最大峰值下的短路电磁力,可能会高估绕组的短路电阻。
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引用次数: 0
High proportion and large value harmonic current influence on the magnetic field, loss and temperature distribution for ultrahigh voltage converter transformer 高比例、大数值谐波电流对特高压换流变压器磁场、损耗和温度分布的影响
IF 1.7 4区 工程技术 Q2 Engineering Pub Date : 2023-10-18 DOI: 10.1049/elp2.12382
Cong Liu, Jian Hao, Ruijin Liao, Fan Yang, Wenping Li, Zhiwei Li

The temperature distribution of ultrahigh voltage (UHV) converter transformer is the key to its service life, allowable load and safe operation. The influence of a high-proportion and large-value harmonic current on the magnetic field, loss and temperature distribution of a UHV converter transformer is studied. A new calculation method is proposed to determine the winding temperature under the combined actions of multiple key factors. First, the skin effect of UHV converter transformer winding under high proportion and high current harmonics is analysed extensively. It is found that the increase of harmonic current frequency leads to exponential increase of winding loss and temperature by changing skin depth. Second, based on the superposition principle, a calculation method for winding loss considering harmonic current and different load rates is developed. The temperature distribution under different harmonic current frequencies and contents is obtained. The winding losses and temperature under different harmonic currents are quantified. Finally, a new calculation method is proposed for the converter transformer winding temperature, considering the combined actions of factors such as load rate, cooling oil inlet rate and temperature, harmonic current frequency and content. Experimental verification showed an error of only 0.58 K in the actual transformer hotspot temperature, confirming the effectiveness of this method. This method is of great significance for temperature control and safe operation of UHV converter transformers.

特高压(UHV)换流变压器的温度分布是其使用寿命、允许负载和安全运行的关键。本文研究了高比例、大数值谐波电流对特高压换流变压器磁场、损耗和温度分布的影响。提出了一种新的计算方法,以确定多种关键因素综合作用下的绕组温度。首先,广泛分析了特高压换流变压器绕组在高比例和高电流谐波下的集肤效应。研究发现,谐波电流频率的增加会通过集肤深度的变化导致绕组损耗和温度的指数增加。其次,基于叠加原理,开发了一种考虑谐波电流和不同负载率的绕组损耗计算方法。得出了不同谐波电流频率和含量下的温度分布。量化了不同谐波电流下的绕组损耗和温度。最后,考虑到负载率、冷却油入口率和温度、谐波电流频率和含量等因素的综合作用,提出了一种新的变流器变压器绕组温度计算方法。实验验证表明,实际变压器热点温度误差仅为 0.58 K,证实了该方法的有效性。该方法对特高压换流变压器的温度控制和安全运行具有重要意义。
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引用次数: 0
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Iet Electric Power Applications
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