A new poly-Si thin-film transistor (TFT) device simulator for quasi three-dimensional temperature analysis has been developed. In this simulator, the influences of the grain boundaries are incorporated into the mobility model when the basic semiconductor equations are solved. Furthermore, we have taken into account the self-heating effect owing to a small thermal conductivity of the insulating substrate using quasi three-dimensional temperature analysis. We could accurately analyze the temperature rise effect and the avalanche short-channel effect in the short-channel poly-Si TFT.