Organic light emitting diode arrangement Organic light emitting diode arrangements (1) are, to protect them against an effect of a switch-on, provided with circuits (31-36) for, during a first time interval that follows a switch-on, limiting a current through the organic light emitting diode arrangement (1) more and for, during a second time interval that follows the first time interval, limiting the current less. The circuit (31-36) may be passive such as a negative temperature coefficient resistor (31) or a series inductor (32) possibly with a freewheel diode (40) or may be active such as a switchable resistor (33) that is not bridged during the first time interval and that is bridged during the second time interval or a switchable resistor that is bridged in response to a detection of a value of the current exceeding a threshold value or such as a part of a converter (63) that is controlled in response to a detection of a value of the current.