Selection of Variable Frequency Drives

The size of a variable frequency drive (VFD) should be based on motor voltage and current and not on the torque or power rating. The voltage and full load current information can be taken from motor nameplate or datasheet.

Induction Electric Motor Nameplate

While the motor can be rated for more than one input voltage, the input voltage required for the particular application that is critical. VFDs are rated on design specific voltage range, hence, it is vital to assess the application for the amount of current it will draw and the speed at which it will be operating.

Calculations

The following equations help show the VFD power flow from AC to DC to AC to motor shaft power.

1. VFD Input Power (AC), PIN
P_IN = sqrt{3}*I_IN*V_IN*PF_IN
Where:
PIN = AC input power to the VFD
IIN = AC input current to the VFD
VIN = AC input voltage to the VFD
PFIN = AC input power factor to the VFD

2. VFD DC Power (DC), PDC
P_DC = I_DC*V_DC
Where:
PDC = VFD DC power
IDC = VFD DC current
VDC = VFD DC voltage

3. VFD Output Power (AC), POUT
P_OUT = sqrt{3}*I_OUT*V_OUT*PF_OUT
Where:
POUT = VFD AC output power
IOUT = VFD AC output current
VOUT = VFD AC output voltage
PFOUT = VFD AC output power factor

4. Motor Shaft (Output) Power, Pshaft
P_motor={P_shaft}/{eta_motor} = {sqrt{3}*V_motor*I_motor*PF_motor}/{eta_motor}
Where:
Pmotor = Motor input power
Pshaft = Motor output power
ηmotor = Motor efficiency
Vmotor = Motor terminal voltage
Imotor = Motor current
PFmotor = Motor power factor

Equations (2) and (3) from the above equations are related to the VFD.Hence the equations can be summarized as
P_IN = {P_out}/{eta_VFD} = {P_shaft}/{{eta_VFD}*{eta_motor}} = {sqrt{3}*V_motor*I_motor*PF_motor}/{{eta_VFD}*{eta_motor}}

Examples will be provided in the next article.

See also  Cable Shield and Outer Sheath Grounding (Earthing)