About this calculator
This calculator determines the VFD operating frequency needed to achieve a target fan RPM based on the motor nameplate RPM and frequency. It uses the linear relationship between motor speed and frequency. Use it when setting up a VFD for a direct-drive fan or when adjusting fan speed to meet changed airflow requirements. For a belt-driven fan, enter the fan's RPM at full line frequency in place of Motor RPM, since the sheaves change the ratio between motor and fan speed.
Use when You need to determine VFD frequency setting based on fan and motor RPM.
Formula Operating Hz = Motor Frequency × (Fan RPM ÷ Motor RPM)
Variables
Fan RPM Desired fan speed in RPMMotor RPM Motor nameplate speed in RPMMotor Frequency Motor nameplate frequency in Hz (default 60)
Fan RPM
Desired fan rotational speed
Motor RPM
Motor nameplate speed at full frequency
Motor Frequency (Hz)
Line frequency -- typically 60 Hz (US) or 50 Hz

Operating Frequency (Hz) —

How does VFD frequency set fan speed?

A variable frequency drive (VFD) changes motor speed by changing the frequency of the power it supplies. An induction motor's speed is proportional to that frequency, so a motor rated 1,760 RPM at 60 Hz runs at about 1,467 RPM at 50 Hz and 880 RPM at 30 Hz. For a direct-drive fan the fan turns at motor speed, so the frequency for a target fan speed is: Hz = Motor Hz × (Fan RPM ÷ Motor RPM). For a belt-driven fan the sheaves set a fixed ratio between motor and fan speed, so use the fan's speed at full line frequency in place of the motor RPM. Because airflow is proportional to fan speed, the same ratio also gives the frequency for a new airflow target: New Hz = Base Hz × (New CFM ÷ Base CFM). Pressure and power then follow the fan affinity laws, which is why slowing a fan with a VFD saves so much energy. Most drives also have minimum and maximum frequency limits, and running a standard motor well below about 20 Hz can overheat it without an inverter-duty rating.