An organic electroluminescent display system comprising at least one organic-light-emitting diode (OLED), a zener diode in series to the organic light-emitting diode, a rectification diode, and a capacitor used as a memory device. During a frame period of the display device, there are address and light emission periods. A reverse bias voltage is applied across the organic light-emitting diode during the address period to prevent metal migration into the organic layers of the OLED. Current mode data programming is used to address the display device. During the light emission period, charge previously stored in selected capacitors during the address period supplies a forward current for the OLEDs. A ramp waveform applied to the row electrode during the light emission period, forces the capacitor to discharge through the OLED and controls the forward current level. This keeps the operation of the OLEDs in their area of maximum performance.