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Nowadays smart grid and intelligent power consumption community develop rapidly, and the interactive coupling of power system with intelligent community has become more in-depth. Based on differential evolution algorithm, a grid dynamic economic dispatch method with the intelligent community is proposed in this realistic context. The objective function is to minimize generation cost. And multiple constraint conditions are power balance, reserve capacity of electric power system, generator output, generator climbing speeds and et al. The accuracy and validity of the method are validated through analyzing the example of a power system including two intelligent communities.