With the maturity of integrated energy management technology, the establishment of a multi-energy complementary micro-energy network containing a high proportion of renewable energy and energy storage devices has become a development trend. In recent years, the control of carbon emissions is strengthened gradually in China with structural energy adjustment. Therefore, considering the cost of carbon emissions, the economic operation model of a micro-energy network is established with the target of the lowest daily operating cost to adjust the charging/discharging strategies of the energy storage devices, using the commercial software CPLEX. Taking an actual micro-energy network as an example, the effectiveness of the proposed model is verified, and the impact of two different energy storage capacity and charging/discharging power strategies on daily operating cost is analyzed. The results show that the proposed model can consider the impact of carbon emissions, and the operating strategy for multiple energy sources and energy storage devices is optimized to ensure the consumption of renewable energy. It achieves the lowest daily operating cost of the micro-energy network while realizing the multi-energy complement. This work is supported by the National Natural Science Foundation of China (No. 51607091), the University Philosophy and Social Science Research Fund Project of Jiangsu Provincial Department of Education (No. 2017SJB0400), and the Innovation Fund Project of Nanjing Institute of Technology (No. CKJB201908).