Two different models for the stepper motor in Simscape stepper motor blocks
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I found in Simscape two differnt blocks for the stpper motor
SM block 1
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/1660966/image.png)
SM block 2
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/1660971/image.png)
Before going to the question, In the stepper motor there is the number of rotor teeth (N_ R), and number of pole pairs (p). These two relates to each other as:
p=N_r/2.
As illustrated in Matlab documentation
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/1660976/image.png)
In SM block 1, and and in SM block 2, the electromagnetic torque (T_e), and the back electromotive force (e) are given in two different ways
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/1660981/image.png)
In T_e, R_m usally consdired inf and the term e/R_m is zero
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/1660986/image.png)
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/1660991/image.png)
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/1660996/image.png)
SM block 1 uses the number of rotor teeth (N_r), in the sin /cos terms, while SM block 1 uses the number of pole pairs (p), in the sin /cos terms
The Question: Since the frequency of sin /cos is different in the two models, How these models can be equivalent to each other?
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