Hi,
Here is how i am doing the calculations 3200rpm ÷ 60sec ÷ 2 gear ratio x 500 encoder cpr = 53000Hz
Close but don't divide by 2 for the gear reduction. If the encoder is monted on the ballscrew it would be correct but you want to put the encoder on the servo, the shaft
for it and the mounting holes are already provided.
So if you are convinced that you want to run it at 3200 rpm it will require a pulse stream of 106 kHz. I see the CNCDrive servo drives have a rather crude electronic gearing
mechanism which could be used to bring the pulse rate required to comfortably within the UC300 capabilities.
The bottom line is that the hardware you have proposed will work. Is it the best combination for the money?
For instance:
The Keling servo is rated at 7.8A continuous with a torque constant of 0.1895 Nm/A thus rated torque is 7.8 x 0.1895=1.478Nm.
At 3000 rpm which is (3000/60)X 2 XPI=314.15 radian/sec for rated power output of 314.15 X1.478 = 463 W.
You could therefore expect a 400W AC servo to perform very siimilary to the DC servo you have proposed which would be cheaper than the DC servos.
Alternately you could go for a 750W AC servo such as the link above and the extra torque would mean you don't have to have any gear/belt reduction
for a traverse speed of 30m/minute for very similar money.
Brushed DC servos are old school stuff, AC servos are the current and have been for 15 years.
Craig