A LED driving arrangement has a main converter stage and a power commutation stage in parallel with an LED unit. An energy divert mode of operation is used during which a set current is provided to the LED unit, and the main converter stage is used to deliver a current larger than the set current. The power commutation stage is used to divert energy from the LED unit and return the diverted energy to an input to the main converter. The remaining set current is delivered to the LED unit. This enables deeper dimming than the dimming level applied to the main converter stage, but without requiring an additional switch mode power converter.