A method of driving a number of high-power light-emitting diodes (LEDs) which are divided into two or more groups, each group being separately energizable by a corresponding one of the power supplies, includes: a) energizing or deenergizing a supply current from the corresponding one of the power supplies into a first one of the groups; b) waiting for a predetermined wait time period; and c) repeating step a) and b) for a second one of the groups. Besides, a supply unit for performing the method comprises a control input, a control unit, and at least two power supplies for correspondingly feeding the two or more LEDs groups.