I looked at the datasheet some more trying to figure out how the supply voltage effects the output voltage even though they are not directly linked and couldn't find much. The trip current is set by Vref/(8*Rsense) and Rsense appears to be a combination of 2 external resistors. Basically what I'm not getting is that I've read that if you increase the supply voltage then you can drive the motors faster to the trip current but I'm not seeing where the correlation lies since the supply voltage is not the voltage used to calculate the current. Otherwise there wouldn't be any benefit of using a 24v supply over a 12v but I know that it is better to use a higher voltage.
Anyway I'd like to reiterate that I would like to make sure the rest of my math logic outside of the drivers is good to go or not that way as we continue to hash out the details of the driver I can keep a big picture perspective. Ultimately I know that a faster time constant for a motor would appear to be best because the current/torque can build up faster BUT being able to actually calculate these things would let me figure out if a more powerful motor might be better even if it has a slower time constant but more than made up for it in torque. For example a smaller motor with a faster time constant that could reach it's rated current within some period of time 'X' compared to a larger motor where in that same time period 'X' it only reached 50% of it's rated current/torque but that torque being higher than the smaller motor. In that situation the more powerful motor would actually produce more torque. Thanks again!
Anyway I'd like to reiterate that I would like to make sure the rest of my math logic outside of the drivers is good to go or not that way as we continue to hash out the details of the driver I can keep a big picture perspective. Ultimately I know that a faster time constant for a motor would appear to be best because the current/torque can build up faster BUT being able to actually calculate these things would let me figure out if a more powerful motor might be better even if it has a slower time constant but more than made up for it in torque. For example a smaller motor with a faster time constant that could reach it's rated current within some period of time 'X' compared to a larger motor where in that same time period 'X' it only reached 50% of it's rated current/torque but that torque being higher than the smaller motor. In that situation the more powerful motor would actually produce more torque. Thanks again!