基于匝数气隙双分段的改进绕组函数解析分析方法*

doi:10.11985/2023.04.008

电气工程学报 ›› 2023, Vol. 18 ›› Issue (4): 66-73.doi: 10.11985/2023.04.008

• 特邀专栏:轻量化高可靠永磁电机系统 • 上一篇下一篇

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基于匝数气隙双分段的改进绕组函数解析分析方法^*

倪荣刚¹(), 蔡亚倩²(), 韩思雨¹(), 赵咏¹()

1.青岛大学电气工程学院青岛 266071
2.大连海事大学船舶电气工程学院大连 116026

收稿日期:2023-08-31 修回日期:2024-04-01 出版日期:2023-12-25 发布日期:2024-01-12
通讯作者: 倪荣刚，男，1987年生，副教授，硕士研究生导师。主要研究方向为电机设计与控制。E-mail：nirg@qdu.edu.cn
作者简介:蔡亚倩，女，1997年生，博士研究生。主要研究方向为电机分析设计。E-mail：caiyaqian2022@163.com
韩思雨，女，1999年生，硕士研究生。主要研究方向为电机分析设计。E-mail：2863438207@qq.com
赵咏，男，2001年生，硕士研究生。主要研究方向为电机分析设计。E-mail：zy077900@163.com
基金资助:
*国家自然科学基金(51907094);国家自然科学基金(52277057);山东省高等学校青创科技计划创新团队(2022KJ150)

Modified Winding Function Analytical Analysis Method Based on Segmentation of Both Coil and Air Gap Distributions

NI Ronggang¹(), CAI Yaqian²(), HAN Siyu¹(), ZHAO Yong¹()

1. College of Electrical Engineering, Qingdao University, Qingdao 266071
2. College of Marine Electrical Engineering, Dalian Maritime University, Dalian 116026

Received:2023-08-31 Revised:2024-04-01 Online:2023-12-25 Published:2024-01-12

摘要/Abstract

摘要：

可变磁阻旋转变压器由于其耐高温、受机械振动影响小、结构简单等优点广泛应用于恶劣工作环境的转子位置检测。此前工作提出了一种内定子变磁阻旋转变压器径向集成在永磁同步电机中的混合双定子电机结构，并采用改进绕组函数法(Modified winding function approach，MWFA)对其磁场分布和电磁参数进行解析分析。然而，解析计算得到的气隙磁通密度在槽开口处与有限元分析结果相比仍存在偏差。为此，提出分段绕组函数法(Segmented winding function method，SWFM)，通过考虑磁场和绕组的实际分布，对气隙和线圈匝数函数进行分段处理，进一步提高解析计算结果的精确性。利用该方法计算气隙磁通密度和励磁绕组自感，并将SWFM和MWFA结果与有限元分析进行对比，验证所提方法的有效性。

关键词: 气隙磁通密度, 改进绕组函数法, 励磁绕组自感, 可变磁阻旋转变压器, 分段绕组函数法

Abstract:

Variable reluctance resolvers(VVRs) have been widely used as position sensors in harsh working conditions because of their advantages in high temperature resistance, insensitity to mechanical vibration, simple structure and so on. In previous work, a hybrid dual-stator machine with an inner-stator VRR radially integrated in a permanent magnet synchronous machine(PMSM) is proposed. The magnetic field distribution and the electromagnetic parameters of the internal machine are analyzed via the modified winding function approach(MWFA). However, the calculated distribution of air gap flux density differed from the finite element analysis(FEA) result at the slot opening. To solve this problem, the segmented winding function method(SWFM) is proposed, where both the air gap length and the coil distribution function are segmented considering the actual distributions of magnetic field and coils so that to achieve more precise analytical approach. With the proposed method, the air gap flux density and the self-inductance of the excitation winding are calculated, and the analytical results of both the SWFM and the MWFA are compared with FEA to verify the accuracy of the proposed method.

Key words: Air gap flux density, modified winding function approach, self-inductance of the excitation winding, variable reluctance resolver, segmented winding function method

中图分类号:

TM351

倪荣刚, 蔡亚倩, 韩思雨, 赵咏. 基于匝数气隙双分段的改进绕组函数解析分析方法^*[J]. 电气工程学报, 2023, 18(4): 66-73.

NI Ronggang, CAI Yaqian, HAN Siyu, ZHAO Yong. Modified Winding Function Analytical Analysis Method Based on Segmentation of Both Coil and Air Gap Distributions[J]. Journal of Electrical Engineering, 2023, 18(4): 66-73.

图/表 11

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参数	数值
定子槽数Z	8
定子绕组极对数p_w	2
励磁绕组最大线圈匝数N_exc	8
正弦绕组最大线圈匝数N_sin	16
余弦绕组最大线圈匝数N_cos	16
定子外半径R_so/mm	25
气隙长度最大值g_max/mm	2.4
气隙长度最小值g_min/mm	0.6
定子轴向长度L_ef/mm	100

参数	数值	参数	数值
B_s/mm	10	B_s0/mm	3
H_s0/mm	1	α_s/(°)	63
H_s1/mm	1.78	L_s1/mm	3.927
H_s2/mm	2.92	L_s2/mm	1.683

基于匝数气隙双分段的改进绕组函数解析分析方法^*

Modified Winding Function Analytical Analysis Method Based on Segmentation of Both Coil and Air Gap Distributions

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