The invention provides an LED converter for operating a load comprising at least one LED series with at least one LED, preferably with multiple LEDs, wherein the LED converter on the primary side comprises a resonant converter supplied with a direct current voltage. Said converter has a half-bridge constructed of two reciprocally clocked switches and providing a supply voltage for the LED series through a serial/parallel resonance circuit connected to the midpoint of said bridge. The LED converter has a control unit that is arranged for adjusting the clocking frequency of the half bridge. To control or regulate the power transferred by the LED converter to the LED series, the control unit is arranged to vary the frequency of the clocking in a frequency corridor that is delimited on at least one side, and to vary the amplitude of the direct current voltage supplying the resonant converter if a change of the load and/or the change of a setpoint value for the power would lead to a frequency operating point outside the frequency corridor.