In order to reduce the energy consumed by mechatronic systems, the power normally dissipated when decelerating in a position control should be stored for subsequent regeneration into a super-capacitor using power electronics[11].If this is done, the consumed energy becomes equal to the dissipated energy due to the mechanical friction of the transmission and the ohmic resistance of the motor. These friction and Joule losses are dependent on the transmission ratio and the velocity function. There are many papers for determining the reduction ratio of gears, however few papers for discussing the optimal transmission ratio of a ball screwnut used in a linear actuator