In this paper, we have developed digital models of mechatronic drives for robots and production machines for the most common laws of acceleration variation and typical loads. The examples show that there is a minimum peak instantaneous power in the areas of acceleration and dynamic braking at certain values of additional parameters for all motion laws under consideration and for the given cycle time and travel. Such parameters include the acceleration/deceleration times, the coefficient of exceeded minimum possible acceleration or the coefficient of uniform motion. Based on studying mathematical models, we have proposed methods for assessing the effectiveness of selecting motion laws and their parameters with respect to the lowest maximum power consumption. The relationship between the maximum instantaneous power and the drive power consumption for different motion laws has been established.