As part of a project, I am designing a reaction wheel system for a nano-satellite. I am now researching on how to determine the nominal speed of the reaction wheel. I have characterized the deadzone of my motor with the flywheel attached, and found that I would be optimal to not have the nominal speed at zero to avoid the problems cause by the zero-speed crossing. I have tried searching for some research papers on how to determine the nominal speed and I wasn't able to find anything useful.
Here are my thoughts on how the nominal speed should be chosen:
My motor has a speed range of 100-4800RPM, if you factor in the deadzone region. I think it should be sufficient to set the nominal to set the speed in the middle, ( (4800-100)/2 + 100 = 2450RPM ). As this would allow the same amount of torque to be generated in either direction, and desaturation in both directions would be required equally as frequently as each other. However, although this logic does sound correct, the justification sounds too weak.
Are there any other methods to determine the nominal reaction wheel speed?