The electrothermal characteristics of a high voltage LIGBT(Lateral Insulated Gate Bipolar Transistor) using thin silicon on insulator (SOI) and silicon on sapphire (SOS) such as thermal conductivity and sink is analyzed by MEDICI. The device simulations demonstrate that the thermal conductivity of the buried oxide is an important parameter for modeling of the thermal behavior of SOI devices. In this paper we simulated the thermal conductivity and temperature distribution of a SOI LIGBT with an insulator layer of SiO$_2$ and $Al_2$O$_3$ at before and after latch-up and verified that the SOI LIGBT with the $Al_2$O$_3$ insulator had good thermal conductivity and reliability.