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Keywords = ironless linear permanent magnet motor

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16 pages, 5382 KiB  
Article
Eddy Current Braking Force Analysis of a Water-Cooled Ironless Linear Permanent Magnet Synchronous Motor
by Mengyao Wang, Lu Zhang, Kai Yang, Junjie Xu and Chunyu Du
Energies 2023, 16(15), 5826; https://doi.org/10.3390/en16155826 - 6 Aug 2023
Viewed by 1020
Abstract
The ironless linear permanent magnet synchronous motor (ILPMSM) is highly compact, easy to control, and exhibits minimal thrust fluctuations, making it an ideal choice for direct loading applications requiring precise positioning accuracy in linear motor test rigs. To address the issue of temperature [...] Read more.
The ironless linear permanent magnet synchronous motor (ILPMSM) is highly compact, easy to control, and exhibits minimal thrust fluctuations, making it an ideal choice for direct loading applications requiring precise positioning accuracy in linear motor test rigs. To address the issue of temperature rise resulting from increased primary winding current and to simultaneously enhance thrust density while minimizing thrust fluctuations, this paper introduces a bilateral-type ILPMSM with a cooling water jacket integrated between the dual-layer windings of the primary movers. The primary winding of the motor adopts a dual-layer coreless structure where the upper and lower windings are closely spaced and cooled by a non-conductive metal cooling water jacket, while the dual-sided secondary employs a Halbach permanent magnet array. The motor’s overall braking force is a combination of the electromagnetic braking force generated by the energized windings and the eddy current braking force induced on the cooling water jacket. This paper specifically focuses on the analysis of the eddy current braking force. Initially, the motor’s geometry and working principle are presented. Subsequently, the equivalent magnetization intensity method is employed to determine the no-load air gap magnetic density resulting from the Halbach array. An analytical model is then developed to derive expressions for the eddy current density and braking force induced in the water-cooling jacket. The accuracy of the analytical method is validated through finite element analysis. Then, a comparative analysis of the braking forces in two primary cooling structures, namely the inter-cooled type and the two-side cooled type ILPMSM, is conducted. Moreover, the characteristics of the eddy current braking force are thoroughly examined concerning motor size parameters and operating conditions. This paper provides a solid theoretical foundation for the subsequent optimization design of the proposed motor. Full article
(This article belongs to the Special Issue Advanced Permanent-Magnet Machines for Electric Vehicles)
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Figure 1

Figure 1
<p>The geometry of the proposed ILPMSM: (<b>a</b>) 3D assembly drawing; (<b>b</b>) 2D electromagnetic structure.</p>
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<p>The geometry of the Primary: (<b>a</b>) partial cross-section; (<b>b</b>) cooling water paths.</p>
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<p>The analytical model of ILPMSM.</p>
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<p>The analytical model of braking force.</p>
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<p>The FEA-simulation model of the ILPMSM with an intermediate water-cooled jacket: (<b>a</b>) 2D FEA-simulation model; (<b>b</b>) sectional views of the topology.</p>
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<p>Prototype photos for the ILPMSM with an intermediate water-cooled jacket: (<b>a</b>) the water path side of the cooling water jacket; (<b>b</b>) the primary coil side of the cooling water jacket; (<b>c</b>) the primary prototype before potting; (<b>d</b>) the secondary prototype.</p>
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<p>FEA and analytical comparison of eddy current braking.</p>
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<p>The influence of cooling water slotting on eddy current braking force by FEA.</p>
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<p>The FEA model of the ILPMSM with two-side water-cooling jacket.</p>
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<p>Comparison of eddy current braking force between analytical and FEA: (<b>a</b>) two-side water cooling ILPMSM; (<b>b</b>) comparison between two cooling structures of ILPMSM.</p>
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<p>The curve of cooling water jacket thickness <span class="html-italic">h</span><sub>p</sub> with braking force magnitude <span class="html-italic">f</span><sub>x1</sub> and fluctuation <span class="html-italic">f</span><sub>x2</sub>: (<b>a</b>) the curve of <span class="html-italic">f</span><sub>x1</sub> with <span class="html-italic">h</span><sub>p</sub>; (<b>b</b>) the curve of <span class="html-italic">f</span><sub>x2</sub> with <span class="html-italic">h</span><sub>p</sub>.</p>
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<p>The curve of <span class="html-italic">L</span><sub>p</sub>/<span class="html-italic">τ</span> with braking force magnitude <span class="html-italic">f</span><sub>x1</sub> and fluctuation <span class="html-italic">f</span><sub>x2</sub>: (<b>a</b>) the curve of <span class="html-italic">f</span><sub>x1</sub> with <span class="html-italic">L</span><sub>p</sub>/<span class="html-italic">τ</span>; (<b>b</b>) the curve of <span class="html-italic">f</span><sub>x2</sub> with <span class="html-italic">L</span><sub>p</sub>/<span class="html-italic">τ</span>.</p>
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<p>The curve of pole pitch τ and major PM pole pitch ratio <span class="html-italic">α</span><sub>p</sub> with braking force magnitude <span class="html-italic">f</span><sub>x1</sub>: (<b>a</b>) the curve of <span class="html-italic">f</span><sub>x1</sub> with <span class="html-italic">τ</span>; (<b>b</b>) the curve of <span class="html-italic">f</span><sub>x1</sub> with <span class="html-italic">α</span><sub>p</sub>.</p>
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<p>The effect of velocity and materials on eddy current braking force: (<b>a</b>) working speed; (<b>b</b>) material of cooling water jacket.</p>
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19 pages, 11006 KiB  
Article
Accurate Modeling and Optimization of Electromagnetic Forces in an Ironless Halbach-Type Permanent Magnet Synchronous Linear Motor
by Zhaolong Sun, Guangyong Jia, Chuibing Huang, Weichang Zhou, Yinhao Mao and Zhaoran Lei
Energies 2023, 16(15), 5785; https://doi.org/10.3390/en16155785 - 3 Aug 2023
Cited by 1 | Viewed by 1459
Abstract
In order to solve the electromagnetic force optimization problem of a high-power-density ironless Halbach-type permanent magnet synchronous linear motor, this paper adopts an electromagnetic force optimization method based on magnetic field analysis, electromagnetic force modeling, and genetic algorithm optimization: Firstly, the magnetic field [...] Read more.
In order to solve the electromagnetic force optimization problem of a high-power-density ironless Halbach-type permanent magnet synchronous linear motor, this paper adopts an electromagnetic force optimization method based on magnetic field analysis, electromagnetic force modeling, and genetic algorithm optimization: Firstly, the magnetic field of the Halbach permanent magnet array is solved by the combination of the equivalent magnetization strength method and the pseudo-periodic method, which takes into account the influence of the edge effect of the secondary magnetic field, and the magnetic field of the primary winding is solved by Fourier series expansion method. Secondly, the Maxwell tensor method is used to establish the functional relationship between the electromagnetic thrust and the main structural parameters of the unilateral motor. Finally, based on the parameter sensitivity analysis of the optimized variables and the response surface calculation, the optimal combination of the optimized variables to meet the optimization objective is found by a genetic algorithm. This method of the accurate modeling and optimization of an electromagnetic force can accurately calculate the motor air gap magnetic field and electromagnetic thrust, and the optimization speed is fast, which can greatly save time. The optimization results show that, under the premise of constant input power, the unilateral average thrust of the motor is increased by 18.75%, the peak value of thrust fluctuation is decreased by 30.27%, and the results match well with the finite element results, which verifies the correctness of the optimization results of the electromagnetic force and the reasonableness of the optimization method. Full article
(This article belongs to the Section F3: Power Electronics)
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Figure 1

Figure 1
<p>Unilateral structure diagram of IHPMSLM.</p>
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<p>Air-gap Magnetic Field Distribution of the Halbach Permanent Magnet Array.</p>
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<p>Infinitely long Halbach permanent magnet array.</p>
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<p>Unilateral IHPMSLM magnetic field analysis model.</p>
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<p>Analytical model of the Halbach permanent magnet array magnetic field.</p>
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<p>Finite element verification of Halbach permanent magnet array air-gap magnetic density analysis results.</p>
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<p>Comparison of magnetic field edge-end effects.</p>
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<p>Analytical model of primary winding magnetic field.</p>
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<p>Finite element verification of magnetic field analysis results of primary six-phase winding air gap.</p>
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<p>Finite element verification of analytical results of air-gap synthesis magnetic field.</p>
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<p>Single-sided IHPMSLM electromagnetic thrust calculation model.</p>
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<p>Electromagnetic force verification.</p>
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<p>Parameter correlation matrix.</p>
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<p>Response surface of average thrust.</p>
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<p>Response surface of thrust fluctuation peak to peak.</p>
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<p>GA flow chart.</p>
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<p>Optimized electromagnetic thrust curve.</p>
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13 pages, 6204 KiB  
Article
Accurate Analytical Models of Armature Reaction Field for Multi-Segment Primaries Ironless PMLSM Based on Subdomain Method
by Fugang Zhang, Haibin Yin and Yufeng Li
Symmetry 2022, 14(10), 2091; https://doi.org/10.3390/sym14102091 - 8 Oct 2022
Viewed by 1233
Abstract
Multi-segment-primary (MSP) ironless Permanent Magnet Linear Synchronous Machine (PMLSM) can be widely applied in long primary, long stroke, and heavy load applications. Therefore, an accurate armature reaction field analysis is very important to control this novel topology motor. In order to simplify the [...] Read more.
Multi-segment-primary (MSP) ironless Permanent Magnet Linear Synchronous Machine (PMLSM) can be widely applied in long primary, long stroke, and heavy load applications. Therefore, an accurate armature reaction field analysis is very important to control this novel topology motor. In order to simplify the research process, a two-segment-primary (TSP) ironless PMLSM in this article was proposed as the smallest unit. The analytical models of the armature reaction field of the motor based on the subdomain method (SDM) were established considering the finite length of the segment-primary (SP) and the interval distance between the TSP. Then, the coupling effect between the TSP and the end effect of the TSP on the armature reaction field were quantitatively analyzed. Furthermore, the coupling inductance between the TSP can be analytically calculated, which is influenced by the coupling effect. To validate the effectiveness of the proposed models, a prototype of the 24s/28p TSP ironless PMLSM was manufactured and tested. It was shown that the proposed models match well with the simulated and experimental results. As well, the maximum variation rate of the end coupling inductance was about 50.13%. Full article
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Figure 1

Figure 1
<p>The structure schematic diagram and subdomain model of the 24s/28p TSP ironless PMLSM.</p>
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<p>Current density distributions of the 24s/28p TSP ironless PMLSM.</p>
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<p>Prototype and armature reaction field simulation: (<b>a</b>) Physical view of the 24s/28p TSP ironless PMLSM; (<b>b</b>) The flux density distribution of armature reaction field simulated by FEM (t = 0.15 s).</p>
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<p>Experimental device and platform: (<b>a</b>) Inductance test; (<b>b</b>) Armature reaction field test.</p>
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<p>Normal and tangential air-gap flux density of the 24s/28p TSP ironless PMLSM in the middle position of the lower air-gap region II (<span class="html-italic">y</span> = 5.4 mm): (<b>a</b>) t = 0 s; (<b>b</b>) t = 0.15 s; (<b>c</b>) t = 0.3 s.</p>
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<p>The normal flux density of the 24s/28p TSP ironless PMLSM in the middle position of the region I between the TSP (<span class="html-italic">y</span> = 9.7 mm).</p>
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<p>Magnetic flux line distribution at the end of the TSP affected by the coupling effect simulated by FEM (t = 0.15 s).</p>
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<p>Flux density distribution in the middle position of the lower air-gap region II varying with different interval distances (<span class="html-italic">y</span> = 5.4 mm, t = 0.15 s): (<b>a</b>) Tangential air-gap flux density; (<b>b</b>) Normal air-gap flux density.</p>
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<p>Normal flux density distribution in the middle position of the armature winding region I between the TSP varying with different interval distances (<span class="html-italic">y</span> = 9.7 mm, t = 0.15 s).</p>
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<p>Comparisons of end coupling inductance <span class="html-italic">M<sub>AC</sub></span> variation versus different interval distances.</p>
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4240 KiB  
Article
Investigation of an Ironless Permanent Magnet Linear Synchronous Motor with Cooling System
by Lu Zhang, Baoquan Kou, Yinxi Jin, Yusheng Chen and Yanjie Liu
Appl. Sci. 2016, 6(12), 422; https://doi.org/10.3390/app6120422 - 10 Dec 2016
Cited by 5 | Viewed by 11777
Abstract
In this paper, a novel ironless linear synchronous motor with a cooling system is proposed. Firstly, the topology of this ironless linear synchronous motor with a cooling system is introduced. Flux density in the cooling system is obtained analytically by the separation of [...] Read more.
In this paper, a novel ironless linear synchronous motor with a cooling system is proposed. Firstly, the topology of this ironless linear synchronous motor with a cooling system is introduced. Flux density in the cooling system is obtained analytically by the separation of variables method according to the boundary conditions. The eddy current braking force induced by the cooling system is calculated and validated by finite element method. Then, the influence of the motor parameters on the eddy current braking force is investigated. At last, a prototype is manufactured and some experiments are carried out with the prototype. The experiment results are validated by finite element analyzed results. Full article
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Figure 1
<p>The novel ironless linear synchronous motor with cooling system.</p>
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<p>The analytical model of the permanent magnet linear synchronous motors (PMLSM).</p>
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<p>The analytical model of eddy current braking force.</p>
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<p>The finite element simulation model of the PMLSM.</p>
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<p>Comparison of eddy current braking force <span class="html-italic">F<sub>x</sub></span><sub>2</sub> between analytical and simulation.</p>
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<p>The cooling jacket with slots.</p>
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<p>Comparison of eddy current braking force <span class="html-italic">F</span><sub>x2</sub> between slots ignored and slots considered.</p>
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<p>The curves of the two-eddy current braking force density along with the change of <span class="html-italic">h<sub>p</sub></span>. (<b>a</b>) The curve of <span class="html-italic">f</span><sub>x1</sub> along with the change of <span class="html-italic">h<sub>p</sub></span>; (<b>b</b>) The curve of <span class="html-italic">f</span><sub>x2</sub> along with the change of <span class="html-italic">h<sub>p</sub></span>.</p>
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<p>The curves of the two-eddy current braking force density along with the change of <span class="html-italic">L<sub>p</sub></span>/τ. (<b>a</b>) The curve of <span class="html-italic">f</span><sub>x1</sub> along with the change of <span class="html-italic">L<sub>p</sub></span>/τ; (<b>b</b>) The curve of <span class="html-italic">f</span><sub>x2</sub> along with the change of <span class="html-italic">L<sub>p</sub></span>/τ.</p>
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<p>Photos of the prototype. (<b>a</b>) The coils and cooling jacket; (<b>b</b>) The stator; (<b>c</b>) The prototype motor.</p>
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<p>The test platform of the LSM.</p>
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<p>The measured no-load back-EMF waveform.</p>
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<p>Comparison of the no-load back-EMF waveform between the simulation result and experiment result.</p>
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<p>Comparison of the static thrust waveform between simulation result and experiment result.</p>
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