Six-phase electrically excitation synchronous wind generator (SP-EESWG) is a special kind of variable speed constant frequency wind generator. Based on the mathematic models of each part, a steady-state model for SP-EESWG is proposed and applied to power flow analysis by taking the utilization characteristics of wind energy, the steady-state characteristics of AC-DC-AC circuit, and the Maximum Power Point Tracking (MPPT), the excitation voltage control, as well as the unity-power factor control into consideration. A single-machine infinite-bus system and the IEEE14-bus system including SP-EESWGs is used to verify the model proposed. Simulation results also prove that the widely used simplified power flow models for wind generators, especially the first- and second-order model, cannot be applied to steady-state analysis of SP-EESWG because of the large errors presented, and the third-order model can be used as an alternative of the model proposed only for the steady state under or near the rated wind speed.