End Force Calculation of Linear Motor
date
Sep 28, 2023
slug
endforce
status
Published
tags
motor
summary
End Force Cal.
type
Post
Reference
[1] 彭兵,张囡,夏加宽等.永磁直线电机端部效应力的解析计算[J].中国电机工程学报,2016,36(02):547-553.DOI:10.13334/j.0258-8013.pcsee.2016.02.028.
Detent force of linear motor (LM) is composed of end force () and cogging force () . Detent force is easily to be obtained by finite element method (FEM) . End force can be calculated by subtracting cogging force from detent force. So, end force can be obtained using slotless model.
1. Slotless model ()
![notion image](https://www.notion.so/image/https%3A%2F%2Fprod-files-secure.s3.us-west-2.amazonaws.com%2Fd43c2ae5-795b-41fc-bd85-677c84876bde%2Fce263fa9-31ec-40fa-a184-729b34efb600%2FUntitled.png?table=block&id=7bfd6e88-2d6f-4886-bd3f-3eb7a3bb1f88&cache=v2)
FEM result of detent force is as follows,
![notion image](https://www.notion.so/image/https%3A%2F%2Fprod-files-secure.s3.us-west-2.amazonaws.com%2Fd43c2ae5-795b-41fc-bd85-677c84876bde%2F7aee21f8-2e23-499b-b264-8f4dd47cdc4d%2FUntitled.png?table=block&id=9f783fb7-8200-4e28-8247-932e68d16a8b&cache=v2)
2. Infinitely long right end ()
![notion image](https://www.notion.so/image/https%3A%2F%2Fprod-files-secure.s3.us-west-2.amazonaws.com%2Fd43c2ae5-795b-41fc-bd85-677c84876bde%2F41bf1b9a-fc11-48e8-a710-5010c4ec17ff%2FUntitled.png?table=block&id=322725b8-5b46-4738-99e1-445b121ebd2a&cache=v2)
FEM result of left end force is as follows,
![notion image](https://www.notion.so/image/https%3A%2F%2Fprod-files-secure.s3.us-west-2.amazonaws.com%2Fd43c2ae5-795b-41fc-bd85-677c84876bde%2F6340f9fc-cc12-48b5-8768-65985f6ac518%2FUntitled.png?table=block&id=be640a99-ad5e-4dc0-bd18-22336ecb7a35&cache=v2)
3. Infinitely long left end ()
![notion image](https://www.notion.so/image/https%3A%2F%2Fprod-files-secure.s3.us-west-2.amazonaws.com%2Fd43c2ae5-795b-41fc-bd85-677c84876bde%2F1546d5b6-6d61-48b0-b139-0c1dacef1cec%2FUntitled.png?table=block&id=8b22bdc5-31c6-4b3d-8919-c6e591d56041&cache=v2)
FEM result of right end force is as follows,
![notion image](https://www.notion.so/image/https%3A%2F%2Fprod-files-secure.s3.us-west-2.amazonaws.com%2Fd43c2ae5-795b-41fc-bd85-677c84876bde%2F74c5309a-47b6-4f34-97d9-70a0b42ceb4a%2FUntitled.png?table=block&id=b56f9e86-ad55-4e4f-a297-79e61d5c29d3&cache=v2)
4. force synthesis
Combine and into , and compare with .
![notion image](https://www.notion.so/image/https%3A%2F%2Fprod-files-secure.s3.us-west-2.amazonaws.com%2Fd43c2ae5-795b-41fc-bd85-677c84876bde%2F0ed9ef47-89e1-4ee4-ab1a-11d0a84eae18%2FFigure_1.png?table=block&id=fa8078a9-621d-476e-b4a7-9abd393181e1&cache=v2)