This paper aims to analyze the dynamic operations of a low-voltage microgrid with various distributed energy resources. The sample system is composed of a low-voltage microgrid 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 microgrid dynamic simulation system in the Matlab/Simulink environment. The system dynamic operations of the proposed microgrid are discussed. The results are expected to provide distribution engineers with the necessary information on the dynamic characteristics of the AC low-voltage microgrids. Further, the results are helpful for the development of microgrids in Taiwan.