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This research examines optimal operation of microgrid systems. Microgrids are disaggregated from main transmission grid. Microgrids are able to integrate distributed renewable energy, take advantage of waste heat, provide higher power reliability, reduce electricity transmission loss, and decrease greenhouse gas emissions. The study considers solar power, wind power, biomass power, gas turbine, fuel cell generators, power storage, heat storage device, electricity demand, and heat demand in microgrid system. In the paper, an optimization model of the microgrid system is proposed and the optimal operating strategy of the system is presented. A case study of optimization model is analyzed in a microgrid system by Institute of Nuclear Energy Research (INER) in Taiwan. Additionally, the impact of power demand and battery capacity in microgrid system is measured.