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This paper aims to analyze the dynamic operations of a low-voltage micro grid with various distributed energy resources. The sample system is composed of a low-voltage micro grid with a 30 kVA micro-hydro generator, a 30 kVA diesel engine generator, a 30 kVA gas engine generator, and a 15 kVA micro-wind turbine generator as well as loads. The dynamic models of individual components are established and tested to ensure accuracy, and then the aforementioned components are integrated to form a micro grid dynamic simulation system in the Matlab/Simulink environment. The system dynamic operations of the proposed micro grid are discussed. The results are expected to provide distribution engineers with the necessary information on the dynamic characteristics of the AC low-voltage micro grids. Further, the results are helpful for the development of micro grids in Taiwan.