An LED converter, comprising: a power factor correction, PFC, converter configured to provide a feedback-controlled output voltage, and a switched DC/DC converter supplied by the output voltage of the PFC converter and configured to provide a feedback-controlled output current to output terminals of the LED converter, the output terminals being designed for supplying an LED load, the PFC converter comprising a feedback control unit configured to provide a control signal for operating a switch of the PFC converter such that the output voltage is feedback-controlled to a preset nominal value, and a modulation unit configured to modulate the control signal by superposition with a modulation term, having a modulation frequency and a modulation amplitude, prior to supplying it as a modulated control signal for operating the switch, resulting in a modulated output voltage of the PFC converter, wherein the modulation amplitude of the modulation term depends on an electrical power consumption parameter of the LED load fed to the modulation unit; and wherein the modulation unit is further configured to: selectively apply the modulation only when the value of the electrical power consumption parameter of the LED load is below a preset threshold value, or apply a higher modulation amplitude at lower values of the electrical power consumption parameter of the LED load compared to the modulation amplitude at higher values thereof; and wherein the modulation frequency of the modulation term is higher than an inverse of a time constant τ of a closed-loop voltage control of the PFC converter by at least a preset factor. a power factor correction, PFC, converter configured to provide a feedback-controlled output voltage, and a switched DC/DC converter supplied by the output voltage of the PFC converter and configured to provide a feedback-controlled output current to output terminals of the LED converter, the output terminals being designed for supplying an LED load, the PFC converter comprising a feedback control unit configured to provide a control signal for operating a switch of the PFC converter such that the output voltage is feedback-controlled to a preset nominal value, and a modulation unit configured to modulate the control signal by superposition with a modulation term, having a modulation frequency and a modulation amplitude, prior to supplying it as a modulated control signal for operating the switch, resulting in a modulated output voltage of the PFC converter, wherein the modulation amplitude of the modulation term depends on an electrical power consumption parameter of the LED load fed to the modulation unit; and a feedback control unit configured to provide a control signal for operating a switch of the PFC converter such that the output voltage is feedback-controlled to a preset nominal value, and a modulation unit configured to modulate the control signal by superposition with a modulation term, having a modulation frequency and a modulation amplitude, prior to supplying it as a modulated control signal for operating the switch, resulting in a modulated output voltage of the PFC converter, wherein the modulation unit is further configured to: selectively apply the modulation only when the value of the electrical power consumption parameter of the LED load is below a preset threshold value, or apply a higher modulation amplitude at lower values of the electrical power consumption parameter of the LED load compared to the modulation amplitude at higher values thereof; and wherein the modulation frequency of the modulation term is higher than an inverse of a time constant τ of a closed-loop voltage control of the PFC converter by at least a preset factor. selectively apply the modulation only when the value of the electrical power consumption parameter of the LED load is below a preset threshold value, or apply a higher modulation amplitude at lower values of the electrical power consumption parameter of the LED load compared to the modulation amplitude at higher values thereof; and wherein the modulation frequency of the modulation term is higher than an inverse of a time constant τ of a closed-loop voltage control of the PFC converter by at least a preset factor.