Dynamics of Electrical Drives

When an electric motor rotates, it is usually connected to a load which has a rotational or translational motion. The speed of the motor may be different from that of the load. To analyze the relation among the drives and loads, the concept of dynamics of electrical drives is introduced.
We can describe the dynamics of electrical drive easily by the following instant.
Here,
J = Polar moment of inertia of motor load
W_m = Instantaneous angular velocity
T = Instantaneous value of developed motor torque
T₁ = Instantaneous value of load torque referred to motor shaft

Now, from the fundamental torque equation - 

For drives with constant inertia,

So, the above equation states that the motor torque is balanced by load torque and a dynamic torque J(dω_m/dt). This torque component is termed as dynamic torque as it is only present during the transient operations. From this equation, we can determine whether the drive is accelerating or decelerating. Such as during accelerating motor supplies load torque and additional torque component essentially. So, the torque, balancing the Dynamics of electrical braking is very helpful.