Abstract：In order to ensure the minimum carbon emission and optimal power distribution of the hybrid

energy storage microgrid under the constraint of carbon footprint，a distributed coordinated control algorithm of the hybrid energy storage microgrid under the constraint of carbon footprint was proposed. Based on the whole life

carbon footprint of mixed energy，the distributed coordinated control objective function of hybrid energy storage

microgrid with minimum carbon emissions and optimal constant volume of mixed energy was constructed，and the

constraint conditions were determined. On this basis，combining with the uncertain characteristics of hybrid energy

storage microgrid，the objective function was rewritten to form a two-stage brodding optimization and coordination control model. Adopting column and constraint generation algorithm to solve the model，obtain the optimal solution of the objective function. The test results show that，after the application of this method，the carbon footprint coefficient is lower than 9.0，the power distribution result of ultracapacitor is about 4.8 MW，the maximum value of network loss power and maximum voltage deviation is 0.42 MW⋅h and 0.067 V respectively. The indirect and direct carbon emissions are significantly reduced，and the charged state of the hybrid energy storage system is effectively improved.

      Key words：carbon footprint constraint；mixed energy storage；micro power grid；distributed；coordinated

control；carbon footprint coefficient