Detent force of linear motor (LM) is composed of end force ($F_{end}$) and cogging force ($F_{slot}$) . 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 ($F_{DF}$)
FEM result of detent force is as follows,
2. Infinitely long right end ($F_l$)
FEM result of left end force is as follows,
3. Infinitely long left end ($F_r$)
FEM result of right end force is as follows,
4. force synthesis
Combine $F_l$ and $F_r$ into $F_{l+r}$ , and compare with $F_{DF}$ .
