Stepper motor current/torque model

AI Thread Summary
The discussion focuses on modeling the torque behavior of a stepper motor based on current pulse characteristics, which resemble trapezoids in the time domain. The user proposes integrating the current over time to derive average current for different RPMs, while considering the longest pulse length at low RPMs. They also explore the impact of PWM duty cycle on current capping and question how voltage, inductance, and winding resistance affect current rise and fall times. Additionally, there are inquiries about the relationship between the magnetic field profiles of the rotor and stator, as well as clarification on the meaning of RPS. The conversation emphasizes the interplay between current, magnetic fields, and motor performance.
liquidFuzz
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TL;DR Summary
Is it possible to model torque based on current in coils?
I've set up an expression for the current in a stepper motor coil. Each current pulse resembles a trapezoid in the time domain. Now I'm trying to figure out how to best use this to model the torque behavior for different RPS. My ide was to integrate over time to get the whole pulse

\int_{t0}^{t1} i_1(t) dt + \int_{t1}^{t2} i_2(t) dt + \int_{t2}^{t3} i_3(t) dt

However I'm not interested in the charge, I*t. Thus I figured I could divide the result with pulse length of the longest pulse possible, i.e. a pulse at low RPS, thus getting a average current for a pulse at different RPS. Does this make any sense..?

Edit, one more thing, the current is capped by altering the pwm ON cycle in the duty cycle. This made me think I should try to find the pwm with the highest ON with of the pwm signal.
 
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liquidFuzz said:
I've set up an expression for the current in a stepper motor coil. Each current pulse resembles a trapezoid in the time domain.
Does the voltage and inductance of the winding decide the rise and fall time of the current pulse ?
Does the resistance of the winding limit the current, or is that done only by PWM.

The motor torque is the product of the current and the magnetic field from the poles.
Is the permanent magnetic field of the rotor also a trapezoidal profile ?
How does the wound stator magnetic field profile react with the rotor PM pole profile ?

Does RPS mean Radians or Revolutions Per Second, or should it be poles/second ?
 
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