For sub-regional power grid dispatching problem, a multi-node network model based on different objectives is given. Network model is based on the theory of complex networks and composed of power generation terminal, middle terminal, utilization terminal, connecting edges, etc. The graphic description and mathematic description of the network model are made separately and the corresponding mathematic model is established. Genetic algorithm is used to solve the two regions numerical examples based on the model. The two regions take the smallest carbon emission for the first single sub-objective, and minimize the cost of purchasing electricity and coal consumption for the second dual sub-objective. The weighted method is used to combine the two sub-objective into a single objective to solve. The electricity distribution result meeting the scheduling target is calculated by programming optimization. Calculation results show that the main network achieves sub-regional dispatching with two sub-regions taking environmental and economic dispatch as objectives respectively.