In view of the influence of the uncertainty of distributed PV(photovoltaic) output on the loop closing operation of new distribution network

a distributionally robust optimization model of load balancing in new distribution network considering loop closing current constraints is proposed. Firstly

considering the steady-state constraint and transient constraints of the loop closing current of new distribution network

the optimal operation model of load balancing of new distribution network is established. On this basis

K-means clustering is used to cluster the historical data of distributed PV output

and a representative typical scenario is obtained. Then

the constraints of 1-norm and ∞-norm on confidence interval are considered at the same time

and a distributionally robust optimization model of load balancing in new distribution network considering loop closing current constraints is established. Finally

the column and constraint generation (CCG) algorithm is used to solve the model

and an example is analyzed on the improved IEEE-99 node to verify the effectiveness of the proposed model.