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Optimization of a damper system for noise and vibration reduction in a PMSM 优化减振器系统,降低 PMSM 的噪音和振动
Pub Date : 2024-07-08 DOI: 10.1108/compel-11-2023-0579
Sijie Ni, Grégory Bauw, Raphael Romary, Bertrand Cassoret, Jean Le Besnerais

Purpose

This paper aims to optimize passive damper system (PDS) design by configuring its parameters to improve its performance and behavior in permanent magnet synchronous machines (PMSM).

Design/methodology/approach

First, the principle and effectiveness of the PDS are recalled. Second, the impact of different PDS parameters on its operation is analyzed. Third, a multi-objective optimization is proposed to explore a compromise design of PDS. Finally, the transient finite element method simulation is performed to validate the optimized design, which can ensure an excellent noise reduction effect and weaker negative impacts.

Findings

A suitable capacitance value in PDS is a key to realizing the damping effect. A larger copper wire can improve the noise reduction performance of PDS and reduce its Joule losses. A compromise solution obtained from a multi-objective optimization remains the excellent noise reduction and reduces Joule losses.

Originality/value

This paper explores the impact of PDS parameters on its operation and provides an orientation of PDS optimization, which is favorable to extend its application in different electrical machines.

目的 本文旨在通过配置被动阻尼系统(PDS)的参数来优化其设计,从而改善其在永磁同步电机(PMSM)中的性能和表现。其次,分析不同 PDS 参数对其运行的影响。第三,提出了一种多目标优化方法,以探索 PDS 的折中设计方案。最后,通过瞬态有限元法仿真验证了优化设计,该设计可确保出色的降噪效果和较弱的负面影响。较大的铜线可提高 PDS 的降噪性能并降低其焦耳损耗。本文探讨了 PDS 参数对其运行的影响,并提供了 PDS 优化的方向,这有利于扩大其在不同电机中的应用。
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引用次数: 0
Rotor pole and stator tooth shaping in FSPM machines for torque performance optimization 优化 FSPM 机器转子磁极和定子齿形以提高扭矩性能
Pub Date : 2024-07-04 DOI: 10.1108/compel-05-2023-0175
Emrah Cetin, Z.Q. Zhu

Purpose

This study aims to obtain the minimum torque ripple at the maximum average torque for Flux-switching permanent magnet (FSPM) machines.

Design/methodology/approach

This paper is about torque performance optimization of the FSPM machines. To achieve that, finite element analysis and genetic algorithm (GA) are used. Five different designs are simulated, optimized and compared on their air gap flux density, back electromotive force, cogging torque, average torque, torque density and torque ripple.

Findings

After the thousands of iterations, its proved that all proposed shaping techniques have potential for reducing torque ripple and cogging torque, with slightly reduced average torque. The best design is the joint stator and rotor shaping, Design V, which results in the lowest torque ripple and cogging torque. The techniques should be applicable to FSPMs with other stator slot/rotor pole number combinations.

Originality/value

In this paper, rotor pole shaping by notching, chamfering and generic shaping, stator tooth shaping and joint shaping techniques are investigated for 12 s/10p FSPM machines. Rotor and stator flanks are optimized separately and jointly, by using finite element analysis and GA for optimization to achieve maximum average torque and minimum torque ripple. Five different design is implemented and compared, respectively.

目的 本研究旨在获得磁通开关永磁(FSPM)机器在最大平均扭矩下的最小扭矩纹波。为此,采用了有限元分析和遗传算法(GA)。对五种不同的设计进行了模拟、优化,并比较了它们的气隙磁通密度、反向电动势、齿槽转矩、平均转矩、转矩密度和转矩纹波。最佳设计是定子和转子联合整形,即设计 V,它能产生最低的扭矩纹波和齿槽转矩。这些技术应适用于具有其他定子槽/转子磁极数组合的 FSPM。通过使用有限元分析和 GA 进行优化,对转子和定子侧面进行了单独和联合优化,以获得最大的平均转矩和最小的转矩纹波。分别实现了五种不同的设计并进行了比较。
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引用次数: 0
Improved air gap permeance modelling for single-slice magnetic equivalent circuits of skewed induction motors 改进倾斜感应电机单片磁性等效电路的气隙磁导率建模
Pub Date : 2024-07-03 DOI: 10.1108/compel-11-2023-0573
Philip Desenfans, Zifeng Gong, Dries Vanoost, Konstantinos Gryllias, Jeroen Boydens, Herbert De Gersem, Davy Pissoort

Purpose

When rotor and stator teeth are close, the connecting air gap flux tube's cross-sectional area exceeds the tooth overlap area. This flux fringing effect is disregarded in the air gap permeance calculation of single-slice magnetic equivalent circuits (MECs) of electric motors with skewed rotors. This paper aims to extend an air gap permeance calculation method incorporating flux fringing for unskewed rotors to skewed and radially eccentric rotors.

Design/methodology/approach

Assuming axial independence, the unskewed air gap permeance is rotated according to the skew and integrated along the axial dimension, resulting in a first method. The integral is approximated analytically, resulting in a second method. Results are compared to a commonly used reference method and validated using a non-linear finite element method (FEM) simulation.

Findings

The proposed methods provide better alignment with the FEM validation compared to the reference method for skewed rotors and common rotor eccentricity, i.e. below 50% of the air gap length. The analytical method is shown to be competitive with the reference method regarding computational time cost.

Originality/value

Two novel air gap permeance methods are proposed for single-slice MECs with skewed rotors. Their characteristics are discussed and validated.

目的当转子和定子齿接近时,连接气隙磁通管的横截面积超过齿重叠面积。在计算具有倾斜转子的电机的单片磁性等效电路 (MEC) 的气隙磁导率时,忽略了这种磁通环效应。本文旨在将不偏斜转子的气隙磁导率计算方法纳入磁通量边缘效应,并将其扩展到偏斜和径向偏心转子。假设轴向独立,则根据偏斜旋转不偏斜气隙磁导率并沿轴向积分,从而得到第一种方法。对积分进行近似分析,得出第二种方法。结果与常用的参考方法进行了比较,并通过非线性有限元法(FEM)模拟进行了验证。对于倾斜转子和普通转子偏心率(即气隙长度的 50%以下),与参考方法相比,所提出的方法能更好地与 FEM 验证保持一致。在计算时间成本方面,分析方法与参考方法不相上下。原创性/价值针对具有倾斜转子的单片 MEC,提出了两种新型气隙渗透方法。讨论并验证了这两种方法的特点。
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引用次数: 0
Optimization on frequency constraints with FFT using automatic differentiation on hybrid ODE applications 在混合 ODE 应用中利用 FFT 自动微分对频率约束进行优化
Pub Date : 2024-07-03 DOI: 10.1108/compel-10-2023-0540
Lucas Agobert, Benoit Delinchant, Laurent Gerbaud

Purpose

This study aims to optimize electrical systems represented by ordinary differential equations and events, using their frequency spectrum is an important purpose for designers, especially to calculate harmonics.

Design/methodology/approach

This paper presents a methodology to achieve this, by using a gradient-based optimization algorithm. The paper proposes to use a time simulation of the electrical system, and then to compute its frequency spectrum in the optimization loop.

Findings

The paper shows how to proceed efficiently to compute the frequency spectrum of an electrical system to include it in an optimization loop. Derivatives of the frequency spectrum such as the optimization inputs can also be calculated. This is possible even if the sized system behavior cannot be defined a priori, e.g. when there are static converters or electrical devices with natural switching.

Originality/value

Using an efficient sequential quadratic programming optimizer, automatic differentiation is used to compute the model gradients. Frequency spectrum derivatives with respect to the optimization inputs are calculated by an analytical formula. The methodology uses a “white-box” approach so that automatic differentiation and the differential equations simulator can be used, unlike most state-of-the-art simulators.

目的 本研究旨在优化由常微分方程和事件表示的电气系统,使用其频谱是设计人员的一个重要目的,尤其是计算谐波。研究结果本文展示了如何高效地计算电气系统的频谱,并将其纳入优化环路。还可以计算频谱的衍生物,如优化输入。原创性/价值利用高效的顺序二次编程优化器,通过自动微分来计算模型梯度。相对于优化输入的频谱导数是通过分析公式计算得出的。该方法采用 "白盒 "方法,因此可以使用自动微分和微分方程模拟器,这与大多数最先进的模拟器不同。
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引用次数: 0
Improved design-oriented analytical modelling of flux switching PM machines 改进磁通开关永磁机械的设计导向分析模型
Pub Date : 2024-07-03 DOI: 10.1108/compel-12-2023-0614
Anis Abdelkefi, Amal Souissi, Imen Abdennadher

Purpose

This paper aims at the analytical formulation of the electromagnetic features of flux switching permanent magnet (PM) machines with emphasis on the PM air gap flux density and armature magnetic reaction.

Design/methodology/approach

The PM air gap flux density is formulated considering three different analytical models. These differ by the incorporation of the air gap magnetic saliency level from the stator side. In addition, the armature magnetic reaction is investigated based on a simplified magnetic reluctance circuit that considers the flux switching permanent magnet machines magnetic circuit geometry specification. Then, the no- and on-load torque is predicted based on the two air gap flux densities.

Findings

It has been found that the PM air gap flux density considering the stator saliencies with trapezoidal magnetomotive force waveform presents the highest accuracy. Despite the simplicity of the magnetic equivalent circuit-based approach, the predicted air gap armature magnetic reaction is in good agreement with the finite element analysis (FEA) one. These lead to the analytical predictions of the no- and on-load torque which is characterized by an acceptable accuracy.

Research limitations/implications

This work should be extended to experimental validation of the FEA results regarding the torque production generation.

Originality/value

The paper proposes an improved design-oriented analytical approach with emphasis on the PM air gap flux density and the armature magnetic reaction of flux switching PM machines.

目的 本文旨在对磁通开关永磁(PM)机器的电磁特性进行分析表述,重点是永磁气隙磁通密度和电枢磁反应。这些模型的不同之处在于纳入了定子侧的气隙磁性突出水平。此外,电枢磁反应的研究基于简化的磁阻电路,该电路考虑了磁通开关永磁电机磁路的几何规格。研究结果发现,考虑到定子突出度的永磁气隙磁通密度与梯形磁动力波形具有最高的精度。尽管基于磁等效电路的方法比较简单,但气隙电枢磁反应的预测结果与有限元分析(FEA)结果非常一致。原创性/价值 本文提出了一种改进的面向设计的分析方法,重点关注永磁气隙磁通密度和磁通开关永磁机械的电枢磁反应。
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引用次数: 0
Sensitivity analysis with various parameters in undermoded reverberation chambers 欠压混响室中各种参数的灵敏度分析
Pub Date : 2024-07-03 DOI: 10.1108/compel-11-2023-0585
Anett Kenderes, Szabolcs Gyimóthy, Péter Tamás Benk

Purpose

The purpose of this paper is to investigate the influence of measurement uncertainties and the environment characteristics themselves on the desired field uniformity (FU) in reverberation chambers (RCs) by means of state-of-the-art global sensitivity analysis techniques. There are many quantities to describe the FU. The authors attempted to inspect many of the most important ones in two different orientations of the stirrer (horizontal, vertical).

Design/methodology/approach

Surrogate modelling techniques are involved to compute the Sobol’ indices efficiently with a modest number of required electromagnetic (EM) simulations. This can be only achieved if the behaviour of an appropriately chosen output quantity is predictable in such a way, which enables to extract useful information. Therefore, this choice should be made with extra care of the stochastic fluctuations, which have to be as low as possible. To this end, in this paper, various figures of merit are investigated.

Findings

This method can provide useful knowledge in the lower frequency range, where the ideal properties of the EM field in RCs cannot be established, and the importance of the setup parameters can vary from configuration to configuration.

Originality/value

Considering the current research tendencies related to RCs, the application of the method of Sobol’ indices to RCs is unique, which has only been done by the authors of this work so far. The main contribution presented in the paper is the thorough investigation of the effect of configuration parameters on the statistical properties of RCs through many output quantities describing the FU.

本文旨在通过最先进的全局灵敏度分析技术,研究测量不确定性和环境特性本身对混响室(RC)中所需场均匀度(FU)的影响。有许多量可以描述场均匀性。作者试图在搅拌器的两个不同方向(水平、垂直)检查其中许多最重要的量。设计/方法/途径采用代用建模技术,可以在所需电磁(EM)模拟数量不多的情况下高效计算索博尔指数。只有在适当选择的输出量的行为是可预测的情况下才能实现这一目标,从而提取有用的信息。因此,在进行选择时应格外注意随机波动,并尽可能将其降低。原创性/价值考虑到当前与遥控装置相关的研究趋势,将索波尔指数方法应用于遥控装置是独一无二的,迄今为止只有这项工作的作者做到了这一点。本文的主要贡献在于通过描述 FU 的许多输出量,深入研究了配置参数对 RC 统计特性的影响。
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引用次数: 0
Multimaterial filtering applied to the topology optimization of a permanent magnet synchronous machine 应用于永磁同步电机拓扑优化的多材料滤波技术
Pub Date : 2024-07-02 DOI: 10.1108/compel-10-2023-0546
Théodore Cherrière, Sami Hlioui, François Louf, Luc Laurent

Purpose

This study aims to propose a general methodology to handle multimaterial filtering for density-based topology optimization containing periodic or antiperiodic boundary conditions, which are expected to reduce the simulation time of electrical machines. The optimization of the material distribution in a permanent magnet synchronous machine rotor illustrates the relevance of this approach.

Design/methodology/approach

The optimization algorithm relies on an augmented Lagrangian with a projected gradient descent. The 2D finite element method computes the physical and adjoint states to evaluate the objective function and its sensitivities. Concerning regularization, a mathematical development leads to a multimaterial convolution filtering methodology that is consistent with the boundary conditions and helps eliminate artifacts.

Findings

The method behaves as expected and shows the superiority of multimaterial topology optimization over bimaterial topology optimization for the chosen test case. Unlike the standard approach that uses a cropped convolution kernel, the proposed methodology does not artificially reflect the limits of the simulation domain in the optimized material distribution.

Originality/value

Although filtering is a standard tool in topology optimization, no attention has previously been paid to the influence of periodic or antiperiodic boundary conditions when dealing with different natures of materials. The comparison between the bimaterial and multimaterial topology optimization of a permanent magnet machine rotor without symmetry constraints constitutes another originality of this work.

目的本研究旨在提出一种通用方法,用于处理基于密度的拓扑优化的多材料滤波,该方法包含周期性或反周期性边界条件,有望缩短电机的仿真时间。永磁同步电机转子中材料分布的优化说明了这种方法的相关性。设计/方法/途径该优化算法依赖于具有投影梯度下降的增强拉格朗日。二维有限元法计算物理状态和临界状态,以评估目标函数及其敏感性。在正则化方面,数学的发展导致了一种多材料卷积滤波方法,该方法与边界条件一致,并有助于消除伪影。研究结果该方法的表现符合预期,并显示出在所选测试案例中,多材料拓扑优化优于双材料拓扑优化。与使用裁剪卷积核的标准方法不同,所提出的方法不会人为地在优化的材料分布中反映出模拟域的限制。原创性/价值虽然过滤是拓扑优化的标准工具,但在处理不同性质的材料时,以前从未关注过周期或反周期边界条件的影响。在没有对称约束的情况下,对永磁机器转子进行双材料和多材料拓扑优化的比较构成了这项工作的另一个原创性。
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引用次数: 0
Approach for sizing by optimization of an electrical drive considering a multiphysics and multidynamics behaviour 考虑多物理场和多动力学行为的电气传动优化选型方法
Pub Date : 2024-07-02 DOI: 10.1108/compel-10-2023-0521
Robin Thomas, Laurent Gerbaud, Herve Chazal, Lauric Garbuio

Purpose

This paper aims to describe a modelling and solving methodology of a (static converter–electric motor–control) system for its sizing by optimization, considering the dynamic thermal heating of the machine.

Design/methodology/approach

The electrical drive sizing model is composed of two simulators (electrical and thermal) that are co-simulated with a master−slave relationship for the time step management. The computation is stopped according to simulation criteria.

Findings

This paper details a methodology to represent and size an electrical drive using a multiphysics and multidynamics approach. The thermal simulator is the master and calls the electrical system simulator at a fixed exchange time step. The two simulators use a dedicated dynamic time solver with adaptive time step and event management. The simulation automatically stops on pre-established criteria, avoiding useless simulations.

Research limitations/implications

This paper aims to present a generic methodology for the sizing by optimization of electrical drives with a multiphysics approach, so the precision and computation time highly depend on the modelling method of each components. A genetic multiobjective optimization algorithm is used.

Practical implications

The methodology can be applied to size electrical drives operating in a thermally limited zone. The power electronics converter and electrical machine can be easily adapted by modifying their sub-model, without impacting the global model and simulation principle.

Originality/value

The approach enables to compute a maximum operating duration before reaching thermal limits and to use it as an optimization constraint. These system considerations allow to over constrain the electrical machine, enabling to size a smaller machine while guaranteeing the same output performances.

设计/方法/途径 电气传动装置尺寸模型由两个模拟器(电气模拟器和热模拟器)组成,这两个模拟器通过时间步长管理的主从关系共同模拟。计算根据仿真标准停止。 研究结果本文详细介绍了一种使用多物理场和多动力学方法表示和确定电气传动装置尺寸的方法。热模拟器是主模拟器,以固定的交换时间步长调用电气系统模拟器。这两个模拟器使用专用的动态时间求解器,具有自适应时间步长和事件管理功能。模拟根据预先设定的标准自动停止,避免了无用的模拟。研究局限/影响本文旨在介绍一种通过多物理场方法优化电气传动装置大小的通用方法,因此精度和计算时间在很大程度上取决于每个组件的建模方法。该方法可用于确定在热限制区域运行的电气传动装置的尺寸。通过修改子模型,可以轻松调整电力电子变流器和电机,而不会影响整体模型和仿真原理。原创性/价值该方法可以计算出达到热限制之前的最大运行持续时间,并将其作为优化约束条件。这些系统考虑因素允许对电机进行过度约束,从而在保证相同输出性能的前提下缩小电机尺寸。
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引用次数: 0
Investigation of a novel intensifying-flux hybrid excited permanent magnet machine for electric vehicles 电动汽车用新型增流混合励磁永磁机的研究
Pub Date : 2024-07-01 DOI: 10.1108/compel-11-2023-0572
Ruipan Lu, Zhangqi Liu, Xiping Liu, Baoyu Sun, Jiangwei Liang

Purpose

To address the issues of the insufficient output torque associated with the application of intensifying-flux permanent magnet (PM) machines in electric vehicles, this paper aims to propose an intensifying-flux hybrid excitation PM machine. It is possible to adjust the air gap magnetic field by adjusting the field current in the excitation winding, thereby increasing the torque output capability and speed range of the machine.

Design/methodology/approach

First, a novel intensifying-flux hybrid excited permanent magnet synchronous machine (IF-HEPMSM) is proposed on the basis of intensifying-flux permanent magnet synchronous machine (IF-PMSM) and an equivalent magnetic circuit model is established. Second, the tooth width and yoke thickness of the machine stator are optimized to ensure the overload capacity of the machine while effectively improving the wide flux regulation range. Furthermore, the electromagnetic characteristics of the IF-HEPMSM are investigated and compared with the IF-PMSM and conventional permanent magnet synchronous machine (PMSM) by using finite element simulations.

Findings

The id of IF-HEPMSM and IF-PMSM is greater than zero low-speed magnetizing current. And the flux-weakening current of the IF-HEPMSM is 18% and 3% smaller than of the conventional PMSM and IF-PMSM.

Practical implications

Aiming at the problems of IF-PMSM applied to electric vehicles, this paper proposes an IF-HEPMSM. The air gap magnetic field is adjusted by controlling the current of the excitation winding to improve the reliability of the machine. Therefore, the IF-HEPMSM combines the advantages of high-power density and high efficiency of the PMSM and the controllable magnetic field of the electro-excitation machine, which is of great engineering value when applied in the field of electric vehicles.

Originality/value

The proposed IF-HEPMSM offers better flux regulation capability with electromagnetic characteristics analysis and maps of dq-axis current as compared to IF-PMSM and conventional PMSM. Moreover, the improvement of the torque can make up for the shortcomings of the insufficient torque output capability of the IF-PMSM.

目的 为解决电动汽车中应用的增磁通永磁(PM)机输出扭矩不足的问题,本文旨在提出一种增磁通混合励磁永磁机。设计/方法/途径首先,在增力磁通永磁同步机(IF-PMSM)的基础上提出了一种新型增力磁通混合励磁永磁同步机(IF-HEPMSM),并建立了等效磁路模型。其次,优化了机器定子的齿宽和轭厚,在保证机器过载能力的同时,有效改善了宽磁通调节范围。此外,还研究了 IF-HEPMSM 的电磁特性,并通过有限元仿真将其与 IF-PMSM 和传统永磁同步电机 (PMSM) 进行了比较。实际意义针对应用于电动汽车的 IF-PMSM 存在的问题,本文提出了一种 IF-HEPMSM。通过控制励磁绕组的电流来调整气隙磁场,从而提高机器的可靠性。因此,IF-HEPMSM 结合了 PMSM 的高功率密度和高效率以及电励磁机的可控磁场等优点,在电动汽车领域的应用具有重要的工程价值。原创性/价值与 IF-PMSM 和传统 PMSM 相比,所提出的 IF-HEPMSM 通过电磁特性分析和 dq 轴电流图,具有更好的磁通调节能力。此外,转矩的提高弥补了 IF-PMSM 转矩输出能力不足的缺点。
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引用次数: 0
Fröhlich model characterization of magnetic properties of the induction heating load 弗洛里希模型表征感应加热负载的磁特性
Pub Date : 2024-06-28 DOI: 10.1108/compel-09-2023-0427
Óscar Lahuerta, José Ortega, Claudio Carretero, Juan Pablo Martínez, Jesús Acero

Purpose

The purpose of this paper is the identification of the magnetic characteristics of the induction load by means of the BH curve proposed by Fröhlich.

Design/methodology/approach

An electromagnetic description of the inductor system is performed to substitute the effects of the induction load, for a mathematical condition, the so-called impedance boundary condition (IBC).

Findings

A significant reduction in the computational cost of electromagnetic simulation has been achieved through the use of the IBC, resulting in a computation time approximately 400 times faster than time domain simulation. Moreover, an alternative method has been developed to experimentally identify the parameters that determine the magnetic behavior of the induction load. Finally, further research has been conducted to understand the relationship between the equivalent impedance of an induction load and the excitation current level.

Practical implications

This work is performed to achieve a better understanding of the fundamentals involved in the electromagnetic modeling of an induction heating system.

Originality/value

This paper introduces the dependence on the excitation level based on a first harmonic approximation and extends the IBC to nonlinear magnetic materials which allows the identification of the magnetic characteristics of the induction load.

本文的目的是通过 Fröhlich 提出的 B-H 曲线确定感应负载的磁特性。研究结果通过使用 IBC,显著降低了电磁模拟的计算成本,计算时间比时域模拟快约 400 倍。此外,还开发了一种替代方法,用于通过实验确定决定感应负载磁行为的参数。最后,还进行了进一步的研究,以了解感应负载的等效阻抗与激励电流水平之间的关系。原创性/价值本文介绍了基于一次谐波近似的激励水平依赖性,并将 IBC 扩展到非线性磁性材料,从而确定了感应负载的磁特性。
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引用次数: 0
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