Glossary of Motor Terms
Dynamic equation
In motor technology, the dynamic equation refers to the differential equation that governs the various aspects of motion associated with motor behavior, i.e., start-up, acceleration, slew, deceleration, and also vibrations. The dynamic equation for a DC motor can be obtained by combining the kinetic equation governing mechanical parts and voltage equation governing voltage-current relations as follows. The equation below is the equation of angular speed ω of the motor. The rotor angle θ is computed as the integration of ω.
where τM is a system parameter known as the mechanical time constant and defined by
while τE is the electrical time constant given by
ω= angular speed
V = applied voltage
La = winding inductance
Ra = winding resistance
KE = Back-emf constant