Wind speeds of different wind turbines in a big wind farm always have correlations because of their close geographical location. This paper builds wind speed model by t-copula function and uses rank correlation matrix to measure the correlation of wind speeds. The case study of IEEE-39 bus system and Yunnan Power Grid shows that wind speed correlation has certain effect on the transient stability of power system.Taking wind speed correlation into consideration makes the analysis of systems transient stability more close to reality.