An electrical model with junction temperature for light-emitting diodes and the impact on conversion efficiency

We present an electrical model for quantum-well light-emitting diodes (LEDs) with a current-spreading layer. The LEDs studied have a multiquantum well (MQW) between p-GaN and the n-GaN grown on sapphire. The model consists of a diode connected with a series resistor resulting from the combined resistance of the p-n junction, contacts, and current spreader. Based upon this model, the I-V curve of the diode itself without the series resistance is extracted from the measured LED I-V curve. The model also includes an empirical diode current equation which was sought by matching the extracted I-V curve. In the seeking process, junction temperature (T_j) rather than case temperature (T_c) was used in the equation. The diode model allows one to calculate the reduction on conversion efficiency caused by the series resistor. Results show that the current-spreading layer causes 20% of the efficiency reduction at T_j=107°C.