Considering that the traditional local-world evolving network model cannot fully reflect the characteristics of real-world power grids, this Letter proposes a new evolving model based on geographical location clusters. The proposed model takes into account the geographical locations and degree values of nodes, and the growth process is in line with the characteristics of the power grid. Compared with the characteristics of real-world power grids, the results show that the proposed model can simulate the degree distribution of China's power grids when the number of nodes is small. When the number of nodes exceeds 800, our model can simulate the USA western power grid's degree distribution. And the average distances and clustering coefficients of the proposed model are close to that of the real world power grids. All these properties confirm the validity and rationality of our model.