China Mechanical Engineering ›› 2025, Vol. 36 ›› Issue (11): 2486-2491.DOI: 10.3969/j.issn.1004-132X.2025.11.002
Zhaoyi LU1,2(
), Hongzi FEI1, Hu YU2, Guihou ZHOU2, Depeng ZENG1, Wanyou LI1
Received:2025-06-18
Online:2025-11-25
Published:2025-12-09
Contact:
Zhaoyi LU
卢肇义1,2(
), 费红姿1, 余虎2, 周贵厚2, 曾德鹏1, 李玩幽1
通讯作者:
卢肇义
作者简介:卢肇义*(通信作者),男,1994年生,博士研究生。研究方向为舰船电力推进系统减振降噪技术。E-mail:348798061@qq.com。
基金资助:CLC Number:
Zhaoyi LU, Hongzi FEI, Hu YU, Guihou ZHOU, Depeng ZENG, Wanyou LI. Inversion Method-based Equivalent Modeling of Stators in Permanent Magnet Motors[J]. China Mechanical Engineering, 2025, 36(11): 2486-2491.
卢肇义, 费红姿, 余虎, 周贵厚, 曾德鹏, 李玩幽. 基于反演法的永磁电机定子等效建模方法[J]. 中国机械工程, 2025, 36(11): 2486-2491.
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URL: https://www.cmemo.org.cn/EN/10.3969/j.issn.1004-132X.2025.11.002
| 仪器设备名称 | 型号规格 |
|---|---|
| LMS多通道数据采集仪 | LMS SCL20-SIG System,128 通道 |
| LMS模态测试分析软件 | Test.Lab中Impact Testing、Modal Analysis、Geometry等相关模块 |
| 加速度传感器 | PCB,ICP供电 |
| 激励力锤 | BK8206-001,ICP供电,灵敏度11.4 mV/N |
| 卷尺 | 量程3 m,分度值1 mm |
Tab.1 Main instrumentation equipment
| 仪器设备名称 | 型号规格 |
|---|---|
| LMS多通道数据采集仪 | LMS SCL20-SIG System,128 通道 |
| LMS模态测试分析软件 | Test.Lab中Impact Testing、Modal Analysis、Geometry等相关模块 |
| 加速度传感器 | PCB,ICP供电 |
| 激励力锤 | BK8206-001,ICP供电,灵敏度11.4 mV/N |
| 卷尺 | 量程3 m,分度值1 mm |
| 序号 | 模态阶次(径向m阶,轴向n阶) | 模态试验 频率/Hz | 仿真计算频率/Hz | 误差 |
|---|---|---|---|---|
| 1 | (2,0) | 263.75 | 264.25 | 0.19% |
| 2 | (2,0) | 268.95 | 264.67 | 1.59% |
| 3 | (3,0) | 721.35 | 725.97 | 0.64% |
| 4 | (3,0) | 731.93 | 726.11 | 0.80% |
| 5 | (4,0) | 1362.04 | 1338.1 | 1.76% |
| 6 | (4,0) | 1364.66 | 1338.4 | 1.92% |
Tab.2 Inversion results of stator core model
| 序号 | 模态阶次(径向m阶,轴向n阶) | 模态试验 频率/Hz | 仿真计算频率/Hz | 误差 |
|---|---|---|---|---|
| 1 | (2,0) | 263.75 | 264.25 | 0.19% |
| 2 | (2,0) | 268.95 | 264.67 | 1.59% |
| 3 | (3,0) | 721.35 | 725.97 | 0.64% |
| 4 | (3,0) | 731.93 | 726.11 | 0.80% |
| 5 | (4,0) | 1362.04 | 1338.1 | 1.76% |
| 6 | (4,0) | 1364.66 | 1338.4 | 1.92% |
| 反演过程 | 密度/(kg·m-3) | 弹性模量/GPa | 泊松比 | 误差 |
|---|---|---|---|---|
| 初始值 | 7850 | 184.0 | 0.3 | 6%以内 |
| 反演值 | 7850 | 176.6 | 0.3 | 5%以内 |
Tab.3 Mechanical parameters of stator core and inversion procedure
| 反演过程 | 密度/(kg·m-3) | 弹性模量/GPa | 泊松比 | 误差 |
|---|---|---|---|---|
| 初始值 | 7850 | 184.0 | 0.3 | 6%以内 |
| 反演值 | 7850 | 176.6 | 0.3 | 5%以内 |
模态阶次 (径向m阶,轴向n阶) | 试验值/Hz | 仿真值/Hz | 误差/% | ||
|---|---|---|---|---|---|
| 等效质量 | 等效模型 | 等效质量 | 等效模型 | ||
| (2,0) | 266.57 | 233.96 | 263.18 | 12.23 | 1.27 |
| (2,0) | 272.58 | 234.33 | 263.52 | 14.03 | 3.33 |
| (3,0) | 738.26 | 638.61 | 719.58 | 13.50 | 2.53 |
| (3,0) | 743.19 | 638.72 | 719.69 | 14.06 | 3.16 |
| (4,0) | 1294.47 | 1167.60 | 1325.90 | 9.80 | 2.43 |
| (4,0) | 1307.34 | 1167.80 | 1326.50 | 10.67 | 1.47 |
Tab.4 Modal simulation results comparison of two modeling methods
模态阶次 (径向m阶,轴向n阶) | 试验值/Hz | 仿真值/Hz | 误差/% | ||
|---|---|---|---|---|---|
| 等效质量 | 等效模型 | 等效质量 | 等效模型 | ||
| (2,0) | 266.57 | 233.96 | 263.18 | 12.23 | 1.27 |
| (2,0) | 272.58 | 234.33 | 263.52 | 14.03 | 3.33 |
| (3,0) | 738.26 | 638.61 | 719.58 | 13.50 | 2.53 |
| (3,0) | 743.19 | 638.72 | 719.69 | 14.06 | 3.16 |
| (4,0) | 1294.47 | 1167.60 | 1325.90 | 9.80 | 2.43 |
| (4,0) | 1307.34 | 1167.80 | 1326.50 | 10.67 | 1.47 |
反演 过程 | 等效密度/ (kg·m-3) | 等效弹性模量/MPa | 泊松比 | 误差 |
|---|---|---|---|---|
| 初始值 | 4323.2 | 800 | 0.3 | 8%以内 |
| 反演值 | 4323.2 | 1000 | 0.3 | 5%以内 |
Tab.5 Key parameters of winding equivalent model and inversion procedure
反演 过程 | 等效密度/ (kg·m-3) | 等效弹性模量/MPa | 泊松比 | 误差 |
|---|---|---|---|---|
| 初始值 | 4323.2 | 800 | 0.3 | 8%以内 |
| 反演值 | 4323.2 | 1000 | 0.3 | 5%以内 |
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