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Linear switched system modelling and analysis for the servo system 伺服系统的线性开关系统建模与分析
IF 1.7 4区 工程技术 Q2 Engineering Pub Date : 2023-11-28 DOI: 10.1049/elp2.12395
Qian Zhang, Qianqian Ma, Heng Yang, Wenping Cao, Qunjing Wang

Aiming at resolving the parameter uncertainty of the servo system under multi-working conditions, a flatness-based switched linear system model is proposed. Firstly, a fifth-order linear switched discrete-time system with uncertain parameters is established. The flatness properties of switched system is described and a de Bruijn's graph-based framework is introduced for graphical description of the switched system. In addition, non-linear bode diagrams are obtained via sweeping signals with multiple amplitudes. The discrete equations of the electromechanical servo system are established by the bode plots. The unknown parameters of the subsystems in switched model are identified by the simulated annealing algorithm, and compared with the least squares method to verify the accuracy of the identified parameters. Finally, the simulation model and experimental platform are constructed to verify the effectiveness of the proposed method. The switched model is compared with the classical transfer function model and single subsystems. The results indicate that the resolution of parameter uncertainty in servo systems is effective. The accuracy of the established switched model is about 99.5%. The accuracy of the switched linear system model of the electromechanical servo system is verified and the proposed modelling method is validated.

为了解决伺服系统在多工况条件下的参数不确定性问题,本文提出了一种基于平差的开关线性系统模型。首先,建立了一个参数不确定的五阶线性开关离散时间系统。描述了开关系统的平坦度特性,并引入了基于 de Bruijn 图的框架对开关系统进行图形描述。此外,还通过扫描多振幅信号获得了非线性博德图。机电伺服系统的离散方程由波特图建立。通过模拟退火算法确定切换模型中各子系统的未知参数,并与最小二乘法进行比较,以验证所确定参数的准确性。最后,构建了仿真模型和实验平台,以验证所提方法的有效性。将开关模型与经典传递函数模型和单一子系统进行了比较。结果表明,伺服系统中参数不确定性的解决是有效的。已建立的开关模型的精确度约为 99.5%。验证了机电伺服系统开关线性系统模型的准确性,并验证了所提出的建模方法。
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引用次数: 0
Stator winding fault detection of induction motors using fast Fourier transform on rotor slot harmonics and least square analysis of the Park's vectors 利用转子槽谐波的快速傅里叶变换和帕克矢量的最小平方分析检测感应电动机的定子绕组故障
IF 1.7 4区 工程技术 Q2 Engineering Pub Date : 2023-11-22 DOI: 10.1049/elp2.12394
Teymoor Ghanbari, Abbas Mehraban

An efficient method for the detection of the stator winding faults (SWFs) of induction motors was dealt based on Park's vector of rotor slot harmonics (RSHs). The induced harmonic voltages of the RSHs in the stator windings are the supreme signatures for fault detection, which can be monitored in the motor currents. Using such a signature, unbalanced supply voltage and stator windings fault situations could be segregated straightforwardly. On the other hand, despite some merits, Park's vector analysis-based methods suffer from low sensitivity and unreliability in the case of low-severity faults. To have the advantages of both methods while tackling the shortcomings, Park's vector approach and the RSH signatures are combined in the proposed method. The RSHs are extracted using the fast Fourier transform method and the least squared approach is employed for pattern recognition. Different experimental results under various scenarios, even in the case of low severity faults, confirm that the locus of Park's vector is an elliptical shape in SWFs, while it is shapeless in other cases, such as healthy and unbalanced supply voltage cases.

基于 Park 的转子槽谐波(RSH)矢量,提出了一种检测感应电机定子绕组故障(SWF)的有效方法。定子绕组中 RSHs 的感应谐波电压是故障检测的最高特征,可在电机电流中监测到。利用这种特征,可以直接区分不平衡电源电压和定子绕组故障情况。另一方面,Park 基于矢量分析的方法尽管有一些优点,但在低严重性故障情况下灵敏度低且不可靠。为了兼具这两种方法的优点,同时解决其缺点,Park 的矢量方法和 RSH 签名被结合到所提出的方法中。使用快速傅立叶变换方法提取 RSH,并采用最小平方法进行模式识别。各种情况下的不同实验结果(即使是低严重性故障)证实,在 SWF 中,Park's 向量的位置是椭圆形的,而在其他情况下,如健康和不平衡电源电压情况下,它是无形的。
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引用次数: 0
Mutual inductance calculation for rectangular and circular coils with parallel axes 平行轴矩形和圆形线圈的互感计算
IF 1.7 4区 工程技术 Q2 Engineering Pub Date : 2023-11-21 DOI: 10.1049/elp2.12396
Dongze Yu, Baichao Chen, Yao Luo, Xinglong Zhou, Yue Yu, Xinyi Yang, Yike Xiang
Simple and practical methods have been provided for the mutual inductance between rectangular and circular coils with parallel axes. The 2D Integral solution is given for the coils without the axial overlap. To improve the efficacy of the proposed approach for the partial or full axial overlap, the series solution derived by the truncated region eigenfunction expansion (TREE) is provided. Both integral and TREE expressions show very high accuracy through comparison with the finite element method simulation and experiment results. Numerical comparisons reveal that the TREE solution is the most efficient while keeping sufficient accuracy, and it is also applicable to all sorts of coil positions.
为平行轴的矩形和圆形线圈之间的互感提供了简单实用的方法。对于无轴向重叠的线圈,给出了二维积分解法。为了提高所提方法对部分或全部轴向重叠的有效性,我们提供了通过截断区域特征函数展开(TREE)得出的串联解。通过与有限元法模拟和实验结果的比较,积分表达式和 TREE 表达式都显示出非常高的精度。数值比较表明,TREE 解法在保持足够精度的同时效率最高,而且适用于各种线圈位置。
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引用次数: 0
Enhanced robust diagnosis of multiple-type demagnetisation fault for permanent magnet synchronous motor based on D-axis magnetic network model using magnetic field reconstruction 基于 D 轴磁网络模型的永磁同步电机多类型退磁故障鲁棒诊断(使用磁场重构技术
IF 1.7 4区 工程技术 Q2 Engineering Pub Date : 2023-11-20 DOI: 10.1049/elp2.12391
Wang He, Jun Hang, Shichuan Ding

Demagnetisation fault (DF) is a common rotor fault in the permanent magnet synchronous motor (PMSM). DF can cause obvious changes in the magnetic field of PMSMs. As a result, previous DF diagnosis methods mainly depends on magnetic field analysis. However, conventional analysis methods based on the magnetic potential-permeability method, sub-domain method and magnetic equivalent circuit method are not suitable for DF condition. In addition, DF diagnosis is further complicated by various operating conditions. To address these issues, a robust DF diagnosis method is proposed for PMSM based on d-axis magnetic network model using magnetic field reconstruction. The proposed fault diagnosis method employs magnetic field reconstruction to obtain the radial air-gap flux density under the open-circuit condition. Subsequently, a d-axis magnetic network is established to solve the demagnetisation coefficient matrix in the DF state. Finally, the effectiveness of the proposed method is validated through simulations and experiments. Both results demonstrate that the proposed method can accurately recognise uniform DF and partial DF with multiple demagnetised permanent magnets, exhibiting great robustness against different operating conditions.

退磁故障(DF)是永磁同步电机(PMSM)中常见的转子故障。DF 会导致 PMSM 的磁场发生明显变化。因此,以往的 DF 诊断方法主要依赖于磁场分析。然而,基于磁势渗透法、子域法和磁等效电路法的传统分析方法并不适用于 DF 状态。此外,各种运行条件也使 DF 诊断变得更加复杂。为解决这些问题,我们提出了一种基于 d 轴磁网络模型的 PMSM 故障诊断方法。所提出的故障诊断方法利用磁场重构来获取开路条件下的径向气隙磁通密度。随后,建立一个 d 轴磁网络,以求解 DF 状态下的退磁系数矩阵。最后,通过模拟和实验验证了所提方法的有效性。这两项结果表明,所提出的方法可以准确识别多块退磁永磁体的均匀 DF 和部分 DF,并在不同的运行条件下表现出很强的鲁棒性。
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引用次数: 0
Dynamic multi-agent dc-bus reconfiguration in modular motor drives with a stacked polyphase bridge converter 采用叠加式多相桥式转换器的模块化电机驱动器中的动态多代理直流母线重新配置
IF 1.7 4区 工程技术 Q2 Engineering Pub Date : 2023-11-16 DOI: 10.1049/elp2.12376
Lynn Verkroost, Alexander Vande Ghinste, Lorrana Faria da Rocha, Jeroen D. M. De Kooning, Frederik De Belie, Peter Sergeant, Pål Keim Olsen, Hendrik Vansompel

A stacked polyphase bridge converter consists of multiple standard, three-phase two-level voltage source inverters connected in series to the same dc voltage source. The authors present a decentralised and dynamic dc-bus reconfiguration strategy for this type of converter. The innovation of the proposed strategy lies in its ability to isolate or reactivate one of the inverters in the series connection online, even in motoring mode, enabling increased fault tolerance and an extended speed range. Both the required hardware alterations and the multi-agent control strategy are addressed. Its major benefits compared to the state-of-the-art are that only two additional active, unidirectional semiconductor switches are required per inverter, and that the control is based on local computations, local measurements and neighbour-to-neighbour communication only. Hence, the scalability and reliability of the hardware are extended towards the control. Simulations and experimental results on a 4 kW modular axial-flux PMSM prove the feasibility of the concept, and validate that the dc-bus can be reconfigured in 100 ms, without torque interruption.

叠加式多相桥式转换器由多个串联到同一直流电压源的标准三相两电平电压源逆变器组成。作者为这种转换器提出了一种分散式动态直流母线重新配置策略。所提策略的创新之处在于,它能够在线隔离或重新激活串联连接中的一个逆变器,即使在电机模式下也是如此,从而提高了容错能力,扩大了速度范围。所需的硬件改动和多代理控制策略都得到了解决。与最先进的技术相比,它的主要优点是每个逆变器只需增加两个有源单向半导体开关,而且控制仅基于本地计算、本地测量和邻近通信。因此,硬件的可扩展性和可靠性也扩展到了控制方面。对 4 千瓦模块化轴向通量 PMSM 的模拟和实验结果证明了这一概念的可行性,并验证了直流母线可在 100 毫秒内重新配置,且不会出现转矩中断。
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引用次数: 0
Electromagnetic design of an ultra-high-speed bearingless permanent magnet synchronous motor 超高速无轴承永磁同步电机的电磁设计
IF 1.7 4区 工程技术 Q2 Engineering Pub Date : 2023-11-15 DOI: 10.1049/elp2.12388
Wang Xiaoyuan, Li Na, Li Tianyuan, Xu Yuhao

Aiming at the problem of high-speed motors being limited by multiple physical fields, which makes it difficult to achieve ultra-high-speed stable operation and develop towards higher speeds and higher power, an ultra-high-speed bearingless permanent magnet synchronous motor (UBPMSM) is proposed. Based on the mathematical model of suspension force for the bearingless permanent magnet motor considering the rotor eccentricity and load condition, the electromagnetic design method for UBPMSM is proposed. According to this method, the topology, torque system and suspension force system of a 10 kw 100k r/min UBPMSM are theoretically designed. The finite element method (FEM) is used to analyse the electromagnetic performance, which verifies the correctness of the proposed design method for UBPMSM. Further analysis and selection of winding span combinations are conducted to obtain better torque and suspension performance.

针对高速电机受多重物理场限制,难以实现超高速稳定运行并向更高速度、更大功率方向发展的问题,提出了一种超高速无轴承永磁同步电机(UBPMSM)。在考虑转子偏心率和负载条件的无轴承永磁电机悬挂力数学模型的基础上,提出了 UBPMSM 的电磁设计方法。根据该方法,对 10 kw 100k r/min 无轴承永磁电机的拓扑结构、转矩系统和悬挂力系统进行了理论设计。使用有限元法(FEM)分析了电磁性能,验证了所提出的 UBPMSM 设计方法的正确性。为了获得更好的扭矩和悬浮性能,还对绕组跨距组合进行了进一步分析和选择。
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引用次数: 0
Simultaneous improvement of cogging torque and torque density in axial flux-switching permanent magnet motor 同时提高轴向磁通开关永磁电机的齿槽转矩和转矩密度
IF 1.7 4区 工程技术 Q2 Engineering Pub Date : 2023-11-15 DOI: 10.1049/elp2.12390
Hamid Ebrahimi, Hossein Torkaman, Hamid Javadi

Axial Flux-Switching Permanent Magnet motors are broadly used in various industrial applications due to their high torque density and low rotor inertia. However, one major drawback of these motors is their cogging torque, which results in torque ripple and vibration. Existing methods for reducing cogging torque have often led to a decrease in useful electromagnetic torque, thereby compromising motor efficiency. To address this issue, a novel hybrid structure for the simultaneous improvement of cogging torque and electromagnetic torque in Axial Flux-Switching Permanent Magnet motors is presented. The proposed structure combines the optimal arc coefficient of the rotor pole technique with the notching rotor technique, resulting in a new motor configuration that exhibits both reduced cogging torque and increased torque density. Analytical equations for calculating cogging torque are derived, and 3D finite element analysis is conducted to evaluate the effectiveness of the proposed structure design. Furthermore, the optimal values of the arc coefficient and forming angle of the rotor pole are determined using the Taguchi analysis. Comparing the results of the optimal motor structure with the previous design shows that the new structure can improve the cogging torque, average electromagnetic torque, torque ripple, torque density, and peak torque output of the motor, which confirms the effectiveness of the proposed structure.

轴向磁通开关永磁电机具有扭矩密度高、转子惯性小的特点,因此被广泛应用于各种工业领域。然而,这些电机的一个主要缺点是齿槽转矩,这会导致转矩纹波和振动。现有的减小齿槽转矩的方法往往会导致有用电磁转矩的减小,从而影响电机效率。为解决这一问题,本文提出了一种新型混合结构,可同时改善轴向磁通开关永磁电机的齿槽转矩和电磁转矩。所提出的结构将转子磁极的最佳弧系数技术与缺口转子技术相结合,从而产生了一种既能降低齿槽转矩又能提高转矩密度的新型电机结构。推导出了计算齿槽转矩的分析方程,并进行了三维有限元分析,以评估拟议结构设计的有效性。此外,还利用田口分析法确定了转子磁极的圆弧系数和成型角的最佳值。将最佳电机结构的结果与之前的设计进行比较后发现,新结构可以改善电机的齿槽转矩、平均电磁转矩、转矩纹波、转矩密度和峰值转矩输出,这证实了所提结构的有效性。
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引用次数: 0
Analytical model of no-load axial force for electric propulsion conical motor in electric aircraft 电动飞机锥形电机空载轴向力分析模型
IF 1.7 4区 工程技术 Q2 Engineering Pub Date : 2023-11-14 DOI: 10.1049/elp2.12392
Yukun Fan, Peixin Liang, Lihao Liang, Dian Zhang, Weiguo Liu, Xiaoke Zhang

In the field of electric aircraft, the axial force of the conical motor is used to offset propeller thrust and reduce bearing wear. For the problem of accurate calculation of the no-load axial force of the conical motor, combined with the characteristics that the rotor magnetic bridge of the hybrid conical inner-mounted permanent magnet synchronous motor (HC-IPMSM) is easy to be saturated and difficult to be calculated analytically, an equivalent analytical calculation method is proposed. According to the principle of constant air-gap magnetic flux, the HC-IPMSM is equivalent to many cylindrical surface-mounted permanent magnet synchronous motors (CY-SPMSM), and an analytical model is gained. Combining with the scalar magnetic potential Laplace equation and Poisson equation, the air-gap flux density distribution on the rotor surface is calculated. And finally, the no-load axial force of the motor is obtained by using the cone angle and the Maxwell stress method. Simulation and experiments verify the correctness and validity of the analytical model.

在电动飞机领域,锥形电机的轴向力用于抵消螺旋桨推力和减少轴承磨损。针对锥形电机空载轴向力的精确计算问题,结合混合式锥形内装永磁同步电机(HC-IPMSM)转子磁桥易饱和、难以解析计算的特点,提出了一种等效解析计算方法。根据气隙磁通恒定的原理,HC-IPMSM 等同于许多圆柱形表面安装永磁同步电机(CY-SPMSM),并得到了一个解析模型。结合标量磁势拉普拉斯方程和泊松方程,计算了转子表面的气隙磁通密度分布。最后,利用锥角和麦克斯韦应力法获得了电机的空载轴向力。仿真和实验验证了分析模型的正确性和有效性。
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引用次数: 0
Parameter identification of transformer lumped element network model through genetic algorithm-based gray-box modelling technique 通过基于遗传算法的灰盒建模技术识别变压器叠加元件网络模型的参数
IF 1.7 4区 工程技术 Q2 Engineering Pub Date : 2023-11-09 DOI: 10.1049/elp2.12387
Bozhi Cheng, Yaoxian Yang, Shuhang Shen, Zhongdong Wang, Peter Crossley, Gordon Wilson, Andrew Fieldsend-Roxborough

The lumped element network model has been proven to be an efficient tool for the interpretation of transformer Frequency Response Analysis. However, it is challenging to obtain parameters of the model if transformer design information is unavailable. In such a case, optimisation algorithms can be used for gray-box model parameter estimation. A methodology is developed by the authors to establish a transformer network model without winding design data, and instead, end-to-end open circuit Frequency Response and other terminal test results are utilised; and Genetic Algorithm is applied to approximate the unknown parameters of the model. The modelling approach developed is independent of the unit number of the network model and therefore guarantees the accuracy of optimisation. Furthermore, it can deal with transformers with a complicated winding structure such as interleaved disc type winding. Two single windings, helical and interleaved disc type, and a single-phase 144/13 kV 60 MVA transformer are used to demonstrate the method. FRA spectra produced by the best estimated gray-box model and the corresponding white-box model are compared. The main features in amplitude and phase spectra are well matched, with low values of Relative Standard Deviation, for both single windings and transformer. Estimated electrical parameters show a high consistency with reference values, which are calculated based on winding design data. This validates the methodology and gives confidence to apply grey-box modelling for FRA interpretation.

实践证明,叠加元件网络模型是解释变压器频率响应分析的有效工具。然而,如果变压器设计信息不可用,要获得模型参数就很困难。在这种情况下,优化算法可用于灰盒模型参数估计。作者开发了一种方法,在没有绕组设计数据的情况下建立变压器网络模型,并利用端到端开路频率响应和其他终端测试结果;同时应用遗传算法来近似模型的未知参数。所开发的建模方法与网络模型的单元数无关,因此能保证优化的准确性。此外,它还能处理绕组结构复杂的变压器,如交错盘式绕组。两种单绕组(螺旋式和交错盘式)和一台单相 144/13 千伏 60 兆伏安变压器被用来演示该方法。比较了最佳估计灰盒模型和相应白盒模型产生的 FRA 频谱。对于单绕组和变压器,幅值谱和相位谱的主要特征匹配良好,相对标准偏差值较低。估算的电气参数与根据绕组设计数据计算得出的参考值高度一致。这验证了该方法的有效性,并为应用灰盒模型解释 FRA 提供了信心。
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引用次数: 0
Comprehensive study on in-plane eddy-current loss in permanent-magnet synchronous machines 永磁同步电机面内涡流损耗综合研究
IF 1.7 4区 工程技术 Q2 Engineering Pub Date : 2023-11-05 DOI: 10.1049/elp2.12386
Hideki Ohguchi, Shion Takigawa, Satoshi Imamori

In-plane eddy-current loss in permanent-magnet synchronous machines has been comprehensively and analytically studied by using three-dimensional (3D) finite element method. Considering the accuracy and calculation time, the electrical conductivity in the stack direction should be set to zero in 3D analysis. Stacking factor is also an important analytical parameter in this kind of calculation. The influences of slot number and coil-end height have been clarified. Harmonics caused by an inverter in pulse-width-modulation or one-pulse mode result in additional in-plane eddy-current loss, which is independent of the slot number. This behaviour can be explained by a theoretical equation of the eddy-current loss. These results are useful for the analysis and design of highly efficient electrical machines.

采用三维(3D)有限元法对永磁同步电机的面内涡流损耗进行了全面的分析研究。考虑到精度和计算时间,在三维分析中应将叠层方向的电导率设为零。叠层因子也是此类计算中的一个重要分析参数。槽数和线圈端部高度的影响已得到澄清。在脉宽调制或单脉冲模式下,逆变器产生的谐波会导致额外的面内涡流损耗,这与槽数无关。涡流损耗的理论方程可以解释这种行为。这些结果有助于分析和设计高效电机。
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引用次数: 0
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Iet Electric Power Applications
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