This paper presents a comprehensive mathematical analysis and simulation of trench IGBT with the help of PIN-PNP combinational model. Since trench IGBT is characteristically influenced by PIN diode, it may be almost impossible to analyze the trench IGBT using PNP-MOS modeling methods, even PIN-MOS techniques which neglect the hole current components coming into p-base region. A new PIN-PNP complementary cooperational model is developed in order to make up the drawbacks of existing models. It would allow us to make qualitative analysis as well as simulation about switching and on-state characteristics of 1,700 V trench IGBT. Moreover, if we improve the PIN diode effects through the optimization of trench structure, trench IGBT is expected to be one of the most promising devices in the not only high-voltage but also high speed switching device field.