More on the Mechanical Equations:  Rotating Inertia (J) and the Inertia Constant (H)

List of Symbols

 

Rated power [MVA]

Base (rated) electrical angular frequency [rad/s]

Net torque driving the shaft [N*m]

Developed Electric torque [N*m]

Mechanical (load) torque [N*m]

Inertia of all rotating masses

Rotor mechanical speed [rad/s]

Total number of poles for the machine

Damping coefficient

Rated mechanical speed [rad/s]

Per unit value indicator

Determining J and H

 

The net torque driving the shaft is given by;

 

 

and the relationship between electric and mechanical speeds is

 

 

Basic mechanical equation:

 

 

Rated torque (base torque),

 

 

The torque equation in per unit:

 

 

Where,

 

 

 

The per unit values in terms of the electrical speed is:

 

 

 

The inertia constant (H) of the rotating mass system is defined as the stored mechanical energy (E) per rated MVA:

 

 

 

Thus;

 

NOTE:  Expressed in per unit, the mechanical speed and the electrical speed have the same value!