Speed of a Cumulative Compound DC Motor

AI Thread Summary
The discussion centers on the speed equation for a Cumulative Compound DC motor, specifically the formula ω = K(Vt - IA[RA + RF)/(\PhiP + \PhiS). Participants question how to calculate the constant K and whether the terminal voltage Vt should be replaced with armature voltage Ea. There is also debate about the nature of torque-speed curves, with opinions suggesting they are neither perfectly linear nor exponentially decaying, as they may vary based on the motor's internal friction and design. Understanding the formula and its variables is essential for accurate analysis. The conversation highlights the complexity of motor performance characteristics.
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I came across an equation for the Speed ω in Radians/seconds of a Cumulative Compound DC motor.

ω= K(Vt-IA[RA+RF)/(\PhiP+\PhiS)

  • How would we calculate K in this equation?
  • Shouldn't the Terminal Voltage Vt be replaced by Armature Voltage Ea?
  • I came across a lot of varying torque speed curves. WIll the curve be exponentially decaying or linear?
 
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Maybe you should explain your formula and the used variables, or at least give its source.
My guess: K is some constant given by the geometry of the motor.

I came across a lot of varying torque speed curves. WIll the curve be exponentially decaying or linear?
I don't think that any of these curves are perfectly exponentially or linear. In addition, it might depend on the motor (e.g. how its internal friction depends on the angular velocity).
 

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