Energy Academy

Affinity laws explorer

For centrifugal pumps and fans, power scales with the cube of speed: run at 80% speed and the power falls to about half; at 60%, to about a fifth. Throttling with a damper or valve keeps the motor working hard and destroys the surplus instead. Drag the flow below and compare the two.

The cube law, live — VFD vs damper
0%25%50%75%100%20%40%60%80%100%Flow demand (% of design) — drag anywhere on the chartPower (% of rated)Damper controlVFD70 kW saved
Damper (full speed)
92 kW
VFD (matched speed)
21.6 kW
Saving at this flow
£56,320/yr

Reference example: 100 kW pump or fan running 4,000 h/yr at this flow, electricity £0.20/kWh. Ideal cube law — real drives add roughly 2–5% losses, which barely dents the saving.

Where the saving is real

The cube law pays wherever the flow genuinely varies: heating and cooling pumps that follow the weather, air-handling fans behind dampers, cooling tower fans. It does not pay on loads that always need full output, and a drive on a constant full-speed load only adds its own losses. Our Why VFDs lesson works the economics, and the applications lesson sorts real equipment into the loads that reward a drive and the ones that do not.