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The city is playing an important role in the social economic development. The research on influencing factors, formation mechanisms and problems in the development of cities, especially the relationship between urban electric power and economy growth, is significant to make urban development strategy and complete the urban electric power planning. In this paper, based on the maximum entropy method, it gives an elementary study and discussion of interaction between the electric power and the economy cycles in Chinese typical cities. The results show that the electricity consumption and economy growth has a long-term cointegration. Their cycles are becoming longer and their main cycle is 8-9 years. According to the results, there are some differences among the cities which require each city need to have itself measures to solve problems. The cycles of electric power and the economy growth should be considered in the city load forecasting and planning to improve the precision.