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Topology and parameter optimization of IPM motor considering mechanical strength by stress and connection constraints 考虑应力和连接约束的机械强度的 IPM 电机拓扑和参数优化
Pub Date : 2024-06-28 DOI: 10.1108/compel-11-2023-0551
Kou Takenouchi, Shingo Hiruma, Takeshi Mifune, Tetsuji Matsuo

Purpose

The purpose of this study is to apply the topology and parameter optimization (TPO) to interior permanent magnet (IPM) motors to obtain the optimized shape with higher torque, lower ripple and sufficient mechanical strength.

Design/methodology/approach

The constraints regarding the maximum stress, connectivity and mesh quality were considered to achieve not only high electrical performance but also high mechanical strength. To enhance the accuracy of the finite element analysis of the elastic analysis, this paper used body-fitted mesh adaptation technique to avoid the stress concentration.

Findings

The proposed method in this study resulted in feasible shapes with sufficiently high strength compared to previous studies. It is also shown that TPO yielded IPM motors with higher torque compared to topology optimization (TO) with fixed parameters.

Practical implications

Different from the existing studies on topology optimization of IPM motors, the mechanical strength is even considered by evaluating the stress values. Therefore, in the practical phase, geometries can be designed that are less likely to be damaged due to deformation, even in the high-speed rotation range.

Originality/value

This paper performed TO and parameter optimization (PO) simultaneously, considering not only the electrical performance but also the mechanical strength. Furthermore, the mechanical strength was evaluated more precisely by devising the elastic analysis conditions and mesh generation.

目的本研究旨在将拓扑和参数优化(TPO)应用于内部永磁(IPM)电机,以获得具有更高扭矩、更低纹波和足够机械强度的优化形状。为了提高弹性分析的有限元分析精度,本文采用了体贴合网格适应技术,以避免应力集中。研究结果与之前的研究相比,本研究中提出的方法得到了具有足够高强度的可行形状。实际意义与现有的 IPM 电机拓扑优化研究不同,本研究甚至通过评估应力值来考虑机械强度。因此,在实际应用阶段,即使在高速旋转范围内,也能设计出不易因变形而损坏的几何形状。此外,通过设计弹性分析条件和网格生成,对机械强度进行了更精确的评估。
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引用次数: 0
A new stress tensor approach for application to the conductor surface 应用于导体表面的新应力张量方法
Pub Date : 2024-06-26 DOI: 10.1108/compel-10-2023-0543
Bojana Petkovć, Marek Ziolkowski, Hannes Toepfer, Jens Haueisen

Purpose

The purpose of this paper is to derive a new stress tensor for calculating the Lorentz force acting on an arbitrarily shaped nonmagnetic conductive specimen moving in the field of a permanent magnet. The stress tensor allows for a transition from a volume to a surface integral for force calculation.

Design/methodology/approach

This paper derives a new stress tensor which consists of two parts: the first part corresponds to the scaled Poynting vector and the second part corresponds to the velocity term. This paper converts the triple integral over the volume of the conductor to a double integral over its surface, where the subintegral functions are continuous through the different compartments of the model. Numerical results and comparison to the standard volume discretization using the finite element method are given.

Findings

This paper evaluated the performance of the new stress tensor computation on a thick and thin cuboid, a thin disk, a sphere and a thin cuboid containing a surface defect. The integrals are valid for any geometry of the specimen and the position and orientation of the magnet. The normalized root mean square errors are below 0.26% with respect to a reference finite element solution applying volume integration.

Originality/value

Tensor elements are continuous throughout the model, allowing integration directly over the conductor surface.

本文旨在推导出一种新的应力张量,用于计算作用在永磁体磁场中移动的任意形状非磁性导电试样上的洛伦兹力。本文推导出一种新的应力张量,它由两部分组成:第一部分对应于缩放的 Poynting 向量,第二部分对应于速度项。本文将导体体积上的三重积分转换为导体表面上的双重积分,其中的子积分函数在模型的不同区间内是连续的。本文给出了数值结果,并与使用有限元法进行的标准体积离散化进行了比较。研究结果 本文评估了新应力张量计算在厚薄立方体、薄圆盘、球体和含有表面缺陷的薄立方体上的性能。积分对试样的任何几何形状以及磁铁的位置和方向都有效。与采用体积积分的参考有限元解法相比,归一化均方根误差低于 0.26%。
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引用次数: 0
Investigation of shaded pole stator topology for low power AC motors design 用于低功率交流电机设计的罩极定子拓扑结构研究
Pub Date : 2024-06-26 DOI: 10.1108/compel-11-2023-0567
Lidija Petkovska, Goga Vladimir Cvetkovski

Purpose

This paper aims to investigate the features of single phase shaded pole stator with squirrel–cage rotor or permanent magnet rotor, that leads to an investigation of these topoloties as induction motor or synchronous motor. The comparative analysis is realised for the following three topologies: single phase shaded pole induction motor (SPIM) with squirrel–cage rotor, the second topology (single phase synchronous motor) has the same stator configuration but with permanent magnet rotor and the third investigated topology is similar to the second one, where the stator poles instead of iron steel are made of soft composite material.

Design/methodology/approach

The investigation in this work starts with a performance analysis of single-phase SPIM. Afterwards for the same stator topology the squirrel rotor is replaced with a two-pole permanent magnet rotor and the same performance analysis is realised for this topology. Finally, the second topology is improved bay replacing the iron steel stator poles with stator poles made of soft magnetic composite material and performance analysis is realised for this third type of topology as well. The performance analysis of all topologies is realised by implementation of finite element method and finite element analysis.

Findings

The presented data and diagrams from the realized investigation show that single phase synchronous motor with shaded pole stator has an improved characteristics in comparison with the initial single-phase SPIM. Finally, the third topology realized on the bases of the single-phase synchronous motor has the best performance characteristics due to the implementation of soft magnetic material in the realization of the stator poles. The proposed methodology for structural and performance improvement of a single-phase SPIM topology opens the possibility for additive manufacturing application and significant cost reduction.

Originality/value

The focus was put on exploration the possibilities of the single-phase shaded pole stator topology for application in low-power and low-cost single phase self-starting motors. By simple replacement of the squirrel–cage rotor, in the reference AKO-16 motor, with one-piece ferrite permanent magnet rotor, the self-starting single phase synchronous motor was derived. In the next step, owing to simplify the SPPM motor production process and manufacturing, the stator poles instead of iron steel lamination were made of soft composite material Somaloy®. It opens the possibility for additive manufacturing application and significant cost reduction.

目的 本文旨在研究带有鼠笼式转子或永磁转子的单相罩极定子的特点,从而研究这些拓扑结构是感应电机还是同步电机。比较分析针对以下三种拓扑结构进行:带有鼠笼式转子的单相罩极感应电机(SPIM);第二种拓扑结构(单相同步电机)具有相同的定子结构,但带有永磁转子;第三种拓扑结构与第二种拓扑结构类似,其定子磁极由软复合材料制成,而非钢铁。然后,在相同的定子拓扑结构中,用两极永磁转子取代鼠笼转子,并对这种拓扑结构进行相同的性能分析。最后,对第二种拓扑结构进行了改进,用软磁复合材料制成的定子磁极取代了钢铁定子磁极,并对第三种拓扑结构进行了性能分析。所有拓扑结构的性能分析都是通过实施有限元法和有限元分析实现的。 研究结果从已实现的研究中获得的数据和图表显示,与最初的单相 SPIM 相比,带有罩极定子的单相同步电机具有更好的特性。最后,在单相同步电机基础上实现的第三种拓扑结构由于在实现定子磁极时采用了软磁材料,因此具有最佳的性能特征。所提出的改进单相 SPIM 拓扑结构和性能的方法为增材制造应用和大幅降低成本提供了可能。 原创性/价值 重点探索了单相罩极定子拓扑结构在低功率、低成本单相自启动电机中应用的可能性。通过用一体式铁氧体永磁转子简单替换参考 AKO-16 电机中的鼠笼式转子,得出了自启动单相同步电机。下一步,为了简化 SPPM 电机的生产流程和制造,定子磁极由软质复合材料 Somaloy® 制成,而非铁钢层压材料。这为增材制造应用和大幅降低成本提供了可能。
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引用次数: 0
Novel multi-material topology optimization method for multi-segmented permanent magnet motors 用于多分段永磁电机的新型多材料拓扑优化方法
Pub Date : 2024-06-24 DOI: 10.1108/compel-10-2023-0492
Yuki Hidaka

Purpose

The purpose of this paper is to develop a novel optimization method that can improve the convergence of the multi-material topology.

Design/methodology/approach

In the proposed method, the optimization procedure is divided into two steps. In the first step, a global search is performed to probabilistically determine the material distribution of multi-segmented magnets. In the second step, the design area is limited and a local search is performed to determine the detailed magnet shape.

Findings

Because the first optimization step determines the arrangement of the magnetization vectors according to the rotational position, as in a d-axis flux concentration orientation, the optimal solution can be obtained with a smaller volume of magnets than the conventional method.

Research limitations/implications

Because a few case studies are considered in this paper, additional verification is required, such as application to different types of motors, to clarify scalability.

Practical implications

The solution obtained using the proposed method has a smaller amount of magnet than the solution obtained using the conventional method and can fully satisfy the average torque constraint.

Originality/value

The proposed method differs from the conventional method in that the material distribution is determined according to the probability function in the first optimization step.

设计/方法/途径在所提出的方法中,优化过程分为两步。第一步,进行全局搜索,以概率方式确定多段磁体的材料分布。研究结果由于第一个优化步骤根据旋转位置确定磁化矢量的排列,如 d 轴磁通量集中方向,因此与传统方法相比,可以用较小的磁体体积获得最优解。研究限制/意义由于本文只考虑了几个案例研究,因此还需要更多的验证,如应用于不同类型的电机,以明确可扩展性。实用意义与使用传统方法获得的解决方案相比,使用建议方法获得的解决方案具有更小的磁体量,并能完全满足平均扭矩约束。
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引用次数: 0
A hybrid analysis method for calculating the cogging torque of consequent pole hybrid excitation synchronous machine 计算后极混合励磁同步机齿槽转矩的混合分析方法
Pub Date : 2024-06-14 DOI: 10.1108/compel-08-2023-0366
Jie Wu, Kang Wang, Ming Zhang, Leilei Guo, Yongpeng Shen, Mingjie Wang, Jitao Zhang, Vaclav Snasel

Purpose

When solving the cogging torque of complex electromagnetic structures, such as consequent pole hybrid excitation synchronous (CPHES) machine, traditional methods have a huge computational complexity. The notable feature of CPHES machine is the symmetric range of field-strengthening and field-weakening, but this type of machine is destined to be equipped with a complex electromagnetic structure. The purpose of this paper is to propose a hybrid analysis method to quickly and accurately solve the cogging torque of complex 3D electromagnetic structure, which is applicable to CPHES machine with different magnetic pole shapings.

Design/methodology/approach

In this paper, a hybrid method for calculating the cogging torque of CPHES machine is proposed, which considers three commonly used pole shapings. Firstly, through magnetic field analysis, the complex 3D finite element analysis (FEA) is simplified to 2D field computing. Secondly, the discretization method is used to obtain the distribution of permeance and permeance differential along the circumference of the air-gap, taking into account the effect of slots. Finally, the cogging torque of the whole motor is obtained by using the idea of modular calculation and the symmetry of the rotor structure.

Findings

This method is applicable to different pole shapings. The experimental results show that the proposed method is consistent with 3D FEA and experimental measured results, and the average calculation time is reduced from 8 h to 4 min.

Originality/value

This paper proposes a new concept for calculating cogging torque, which is a hybrid calculation of dimension reduction and discretization modules. Based on magnetic field analysis, the 3D problem is simplified into a 2D issue, reducing computational complexity. Based on the symmetry of the machine structure, a modeling method for discretized analytical models is proposed to calculate the cogging torque of the machine.

目的在求解复杂电磁结构(如随极混合励磁同步机(CPHES))的齿槽转矩时,传统方法的计算复杂度非常高。CPHES 机器的显著特点是场强和场弱的对称范围,但这种机器注定要配备复杂的电磁结构。本文旨在提出一种混合分析方法,快速准确地求解复杂三维电磁结构的齿槽转矩,该方法适用于不同磁极形状的 CPHES 机器。首先,通过磁场分析,将复杂的三维有限元分析(FEA)简化为二维磁场计算。其次,考虑到槽的影响,采用离散化方法获得磁导率和磁导率差沿气隙圆周的分布。最后,利用模块化计算的思想和转子结构的对称性,得到了整个电机的齿槽转矩。实验结果表明,提出的方法与三维有限元分析和实验测量结果一致,平均计算时间从 8 小时缩短到 4 分钟。基于磁场分析,三维问题被简化为二维问题,从而降低了计算复杂度。基于机器结构的对称性,提出了离散化分析模型的建模方法,用于计算机器的齿槽转矩。
{"title":"A hybrid analysis method for calculating the cogging torque of consequent pole hybrid excitation synchronous machine","authors":"Jie Wu, Kang Wang, Ming Zhang, Leilei Guo, Yongpeng Shen, Mingjie Wang, Jitao Zhang, Vaclav Snasel","doi":"10.1108/compel-08-2023-0366","DOIUrl":"https://doi.org/10.1108/compel-08-2023-0366","url":null,"abstract":"<h3>Purpose</h3>\u0000<p>When solving the cogging torque of complex electromagnetic structures, such as consequent pole hybrid excitation synchronous (CPHES) machine, traditional methods have a huge computational complexity. The notable feature of CPHES machine is the symmetric range of field-strengthening and field-weakening, but this type of machine is destined to be equipped with a complex electromagnetic structure. The purpose of this paper is to propose a hybrid analysis method to quickly and accurately solve the cogging torque of complex 3D electromagnetic structure, which is applicable to CPHES machine with different magnetic pole shapings.</p><!--/ Abstract__block -->\u0000<h3>Design/methodology/approach</h3>\u0000<p>In this paper, a hybrid method for calculating the cogging torque of CPHES machine is proposed, which considers three commonly used pole shapings. Firstly, through magnetic field analysis, the complex 3D finite element analysis (FEA) is simplified to 2D field computing. Secondly, the discretization method is used to obtain the distribution of permeance and permeance differential along the circumference of the air-gap, taking into account the effect of slots. Finally, the cogging torque of the whole motor is obtained by using the idea of modular calculation and the symmetry of the rotor structure.</p><!--/ Abstract__block -->\u0000<h3>Findings</h3>\u0000<p>This method is applicable to different pole shapings. The experimental results show that the proposed method is consistent with 3D FEA and experimental measured results, and the average calculation time is reduced from 8 h to 4 min.</p><!--/ Abstract__block -->\u0000<h3>Originality/value</h3>\u0000<p>This paper proposes a new concept for calculating cogging torque, which is a hybrid calculation of dimension reduction and discretization modules. Based on magnetic field analysis, the 3D problem is simplified into a 2D issue, reducing computational complexity. Based on the symmetry of the machine structure, a modeling method for discretized analytical models is proposed to calculate the cogging torque of the machine.</p><!--/ Abstract__block -->","PeriodicalId":501376,"journal":{"name":"COMPEL","volume":"14 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141506171","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Non-linear impedance boundary condition from linear piecewise B-H curve applied to induction heating systems 应用于感应加热系统的线性片断 B-H 曲线非线性阻抗边界条件
Pub Date : 2024-06-13 DOI: 10.1108/compel-09-2023-0428
José Ortega, Óscar Lahuerta, Claudio Carretero, Juan Pablo Martínez, Jesús Acero

Purpose

This paper aims to apply the non-linear impedance boundary condition (IBC) for a linear piecewise B–H curve in frequency domain simulations to find the equivalent impedance of a simple induction heating system model.

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 IBC. This is suitable to be used in electromagnetic systems involving high conductive materials at medium frequencies, as it occurs in an induction heating system.

Findings

A reduction of the computational cost of electromagnetic simulation through the application of the IBC. The model based on linear piecewise B–H curve simplifies the electromagnetic description, and it can facilitate the identification of the induction load characteristics from experimental measurements.

Practical implications

This work is performed to assess the feasibility of using the non-linear boundary impedance condition of materials with linear piecewise B–H curve to simulate in the frequency domain with a reduced computational cost compared to time domain simulations.

Originality/value

In this paper, the use of the non-linear boundary impedance condition to describe materials with B–H curve by segments, which can approximate any dependence without hysteresis, has been studied. The results are compared with computationally more expensive time domain simulations.

目的 本文旨在将非线性阻抗边界条件(IBC)应用于频域仿真中的线性片断 B-H 曲线,以找出简单感应加热系统模型的等效阻抗。这适用于中等频率下涉及高导电材料的电磁系统,如感应加热系统。基于线性片断 B-H 曲线的模型简化了电磁描述,并有助于通过实验测量确定感应负载特性。这项工作旨在评估使用具有线性片断 B-H 曲线的材料非线性边界阻抗条件进行频域仿真的可行性,与时域仿真相比,可降低计算成本。原创性/价值本文研究了使用非线性边界阻抗条件来描述分段 B-H 曲线的材料,它可以近似于任何无滞后的依赖关系。研究结果与计算成本更高的时域模拟进行了比较。
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引用次数: 0
Lorentz force-based assessment of the torque production of TFPM machines 基于洛伦兹力评估 TFPM 机器产生的扭矩
Pub Date : 2024-06-11 DOI: 10.1108/compel-09-2023-0452
Ahmed Masmoudi

Purpose

The purpose of this paper is to introduce an aid for teaching transverse flux permanent magnet machines (TFPMs) with emphasis on their torque production.

Design/methodology/approach

The Lorentz force law is applied to fictitious current loops emulating the permanent magnets (PMs) mounted on the rotor according to different arrangements; the air gap flux density is created by the armature current.

Findings

Implemented in a master lecture on special AC machines, the proposed approach has revealed a renewed interest in electromagnetic fundamentals for pedagogical purposes. It makes simple the explanation of the principle of operation of a class of AC machines reputed by the complexity of their magnetic circuits. The latter incorporates axially stacked decoupled sub-circuits, one per phase generating alternating magnetic fields. More specifically, there is common air gap, shared by the machine phases, in which a rotating magnetic field is created by the superposition of the PM contribution and the armature one.

Research limitations/implications

Accounting for the complexity of the magnetic circuits and the three-dimensional (3D) flux paths characterizing TFPMs, a 3D finite element analysis (FEA) is required for the validation of the analytical predictions. Nevertheless, such a 3D FEA validation is far from being obvious to be carried on within a master lecture.

Originality/value

While the basis of Lorentz forces resulting from fictitious current loops emulating PMs has been considered in some referenced papers, its simple and pedagogical application to assess the torque production of several TFPM concepts represents the added value of the present paper.

目的本文旨在介绍一种用于横向磁通永磁机械(TFPMs)教学的辅助工具,重点是其扭矩的产生。设计/方法/途径将洛伦兹力定律应用于根据不同布置安装在转子上的永磁体(PMs)的虚构电流环;气隙磁通密度由电枢电流产生。它简化了以磁路复杂而著称的一类交流电机工作原理的解释。后者包含轴向堆叠的去耦子电路,每相一个,产生交变磁场。更具体地说,机器各相之间有一个共用气隙,其中的旋转磁场是由永磁发电机的贡献和电枢的贡献叠加产生的。考虑到磁路的复杂性和 TFPM 的三维(3D)磁通路径特征,需要进行三维有限元分析 (FEA),以验证分析预测。尽管如此,这种三维有限元分析验证远非在一次大师讲座中就能完成。原创性/价值虽然一些参考文献中已经考虑了模拟永磁体的虚构电流回路所产生的洛伦兹力的基础,但将其简单地应用于教学,以评估几个 TFPM 概念所产生的扭矩,则体现了本文的附加价值。
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引用次数: 0
Magnetostatic analysis by BEM for multiply connected problem 利用 BEM 对多重连接问题进行磁静力分析
Pub Date : 2024-06-11 DOI: 10.1108/compel-11-2023-0577
Kazuhisa Ishibashi, Zoran Andjelic, Christian Lage, Paolo Di Barba

Purpose

The purpose of this study is to demonstrate the novel approach in treating multiply connected problems in magnetostatic.

Design/methodology/approach

The new double layer approach (DLA) to be proposed is based on the use of the exciting double layer on the cut-surface. Applying Ampere’s circuital law to the circuital path along a toroidal core of M–C model, this paper derives unified exciting potential (UEP) from the common exciting potential. The UEP is applicable to the simply or M–C analysis. To check the effectiveness of the UEP, this paper analyze typical M–C problems and compares the results with those of other benchmark problems and also those obtained by surface charge method (SCM). Because the SCM encounters a cancellation error, this paper overcomes this problem by using the concept of direct boundary element method (BEM).

Findings

Using the improved DLA, this paper analyzed a typical multiply connected model and compared the results with those of the SCM, which has been improved to overcome cancellation errors. This paper has confirmed that the results obtained by the improved DLA are the same as those obtained by the improved SCM and Steklov–Poincaré operator formulation, tested at the well-known benchmark problems given in Andjelic et al. (2010). From these results, this paper concluded that the Improved DLA works well and that the improved SCM becomes available for analyzing both the simply and multiply connected problems.

Originality/value

Expanding a concept of the exciting double layer on the cut-surface, this paper improve the DLA to analyze the M–C problems. Applying Ampere’s circuital law to the full circuital path along the toroidal core of M–C problem, this paper derive UEP from the original exciting potential to get the governing BIE. The BIE is applicable to either simply or multiply connected analysis.

设计/方法/方法本文提出的新双层方法(DLA)基于切割面上的激励双层。本文将安培环路定律应用于 M-C 模型环形铁芯的环路路径,从公共激磁势推导出统一激磁势(UEP)。UEP 适用于简单或 M-C 分析。为了检验 UEP 的有效性,本文分析了典型的 M-C 问题,并将结果与其他基准问题和表面电荷法(SCM)得到的结果进行了比较。由于 SCM 会出现抵消误差,本文通过使用直接边界元法 (BEM) 的概念克服了这一问题。研究结果本文使用改进的 DLA 分析了一个典型的多重连接模型,并将结果与 SCM 的结果进行了比较。通过对 Andjelic 等人(2010 年)中给出的著名基准问题进行测试,本文证实改进 DLA 所获得的结果与改进 SCM 和 Steklov-Poincaré 算子公式所获得的结果相同。从这些结果中,本文得出结论:改进的 DLA 运行良好,改进的 SCM 可用于分析简单连接和多重连接问题。本文将安培环路定律应用于 M-C 问题的环形磁芯全环路,并从原始激磁势推导出 UEP,从而得到支配 BIE。BIE 既适用于简单连接分析,也适用于多重连接分析。
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引用次数: 0
Influence of welding-induced mechanical stress on the electromagnetic properties of magnetic lamination 焊接引起的机械应力对磁性层压板电磁特性的影响
Pub Date : 2024-06-05 DOI: 10.1108/compel-11-2023-0561
David Ukwungwu, Sobhan Emadmostoufi, Uwe Reisgen, Kay Hameyer

Purpose

This paper aims to analyze the influence of welding-induced mechanical stress of a magnetic core material on the performance behavior of a permanent magnet excited synchronous machine (PMSM). Welding, interlocking, clinching and the use of adhesives are state-of-the-art packaging technologies used in the manufacturing of electrical machines. However, the packaging processes degrade the electromagnetic properties of the electric steel sheets, thereby decreasing the performance and achievable range of the electric vehicle.

Design/methodology/approach

In this paper, an approach that maps the local changes in magnetic properties due to welding induced stress with the stress values is developed. The welding process induces internal stress inside the steel sheet due to the diffusion of thermal energy into the sheets. Other effects are the changes in the micro structures of the steel sheets (grain sizes). These induced mechanical stresses lead to significant deterioration of the electromagnetic properties. They also lead to an increase in iron loss attributed to steel lamination.

Findings

A low speed (city), a high-speed (highway) and WLTC-c3 driving cycle will be used to analyze the effects of the induced stresses on the machine efficiency at the different operating conditions. A high-speed PMSM with a maximum speed of 26,000 min−1 and maximum torque of 130 Nm is designed for this study.

Originality/value

The value of this study is in the development of a local varying modeling approach that analyses the influence of weld-induced stress on the performance of electrical machines. Its originality is evident in the mapping methodology. This will enable an application dependent improvement possibilities due to the understanding of the impact of weld-induced stress on the electromagnetic properties of weld-packaged core.

本文旨在分析磁芯材料焊接引起的机械应力对永磁同步电机(PMSM)性能行为的影响。焊接、联锁、夹紧和使用粘合剂是电机制造中使用的最先进的封装技术。然而,这些封装工艺会降低电动钢板的电磁特性,从而降低电动汽车的性能和可实现的续航里程。设计/方法/途径本文开发了一种方法,可将焊接引起的应力导致的磁特性局部变化与应力值进行映射。由于热能扩散到钢板中,焊接过程会在钢板内部产生内应力。其他影响还包括钢板微观结构(晶粒尺寸)的变化。这些诱发的机械应力会导致电磁性能显著下降。研究结果 将使用低速(城市)、高速(高速公路)和 WLTC-c3 驱动循环来分析不同运行条件下诱导应力对机器效率的影响。本研究设计了一台最大速度为 26,000 min-1、最大扭矩为 130 Nm 的高速 PMSM。原创性/价值本研究的价值在于开发了一种局部变化建模方法,用于分析焊接诱导应力对电机性能的影响。其独创性体现在绘图方法上。由于了解了焊接应力对焊接封装铁芯电磁特性的影响,因此可以根据应用情况进行改进。
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引用次数: 0
Galerkin-FEM approach for dynamic recovering of the plate profile in electrostatic MEMS with fringing field 采用 Galerkin-FEM 方法动态恢复带边缘场的静电微机电系统中的板轮廓
Pub Date : 2024-05-31 DOI: 10.1108/compel-11-2023-0556
Mario Versaci, Giovanni Angiulli, Luisa Angela Fattorusso, Paolo Di Barba, Alessandra Jannelli

Purpose

Based on previous results of the existence, uniqueness, and regularity conditions for a continuous dynamic model for a parallel-plate electrostatic micro-electron-mechanical-systems with the fringing field, the purpose of this paper concerns a Galerkin-FEM procedure for deformable element deflection recovery. The deflection profiles are reconstructed by assigning the dielectric properties of the moving element. Furthermore, the device’s use conditions and the deformable element’s mechanical stresses are presented and discussed.

Design/methodology/approach

The Galerkin-FEM approach is based on weighted residuals, where the integrals appearing in the solution equation have been solved using the Crank–Nicolson algorithm.

Findings

Based on the connection between the fringing field and the electrostatic force, the proposed approach reconstructs the deflection of the deformable element, satisfying the conditions of existence, uniqueness and regularity. The influence of the electromechanical properties of the deformable plate on the method has also been considered and evaluated.

Research limitations/implications

The developed analytical model focused on a rectangular geometry.

Practical implications

The device studied is suitable for industrial and biomedical applications.

Originality/value

This paper proposed numerical approach characterized by low CPU time enables the creation of virtual prototypes that can be analyzed with significant cost reduction and increased productivity.

本文的目的是根据先前关于具有边缘场的平行板静电微电子机械系统连续动态模型的存在性、唯一性和正则性条件的研究结果,提出一种可变形元件挠度恢复的 Galerkin-FEM 程序。通过指定运动元件的介电特性来重建挠度曲线。研究结果基于边缘场和静电力之间的联系,所提出的方法重建了可变形元件的挠度,满足了存在性、唯一性和规则性条件。还考虑并评估了可变形板的机电特性对该方法的影响。研究局限性/意义所开发的分析模型侧重于矩形几何体。
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