A mixed integer programming model

which can be used in microgrid intra-day scheduling

is put forward in order to conciliate further the desired attributes of accuracy and computational performance in existing intra-day scheduling model. The model of storage battery charge/discharge process

which considers charge/discharge cycles and aging cost

is proposed. Compared with the conventional model for microgrid economical dispatching

the linearized constraint model

such as power flow with voltage amplitude limitation

branch capacity based on Cartesian geometry

transferring power and power factor of point of common couple et al

is established. The numerical results of case studies demonstrate that the proposed model and its solution are of the fast convergence and independent of initial points

and the storage battery model is in line with the practical engineering

overcoming the limitations of the existing model

which accelerates deterioration due to switching frequently between charge and discharge of storage battery. This work is supported by National Natural Science Foundation of China (No. 51307063)

National Key Technology Research and Development Program of China (No. 2013BAA01B02) and Specialized Research Fund for the Doctoral Program of Higher Education (SRFDP) of China (No. 20120172120042).