The mathematical models of micro gas turbines with different control modes and operation modes are introduced. Simulations for the micro gas turbines with different operation modes are implemented in PSCAD/EMTDC platform. The simulation results show that the dynamic response performance of micro gas turbines are satisfied for the cases of power reference value changing in grid-connected operation mode and load demand changing in island operation mode. The output power of the both cases can track demand changing quickly and the duration of transient process is short.