[Objective] Aiming at the coordination and optimization problem between operation economy and user satisfaction caused by the high proportion of wind and solar energy access to the distribution network

as well as the uncertainty of wind and solar output

a two-stage distributionally robust optimal dispatch method considering user satisfaction constraints in demand response for active distribution networks is proposed

to achieve coordinated optimization of economic efficiency and user satisfaction. [Methods] An optimization model for distribution network reconfiguration was developed

which considered demand response and user satisfaction. The model aimed to minimize comprehensive costs

including network loss cost

wind and solar curtailment cost

electricity purchase cost

user compensation cost

and switch operation penalty cost. The Frank-Copula function was introduced to characterize the correlation between wind and photovoltaic power output. Typical scenario sets were generated using the K-means clustering method. A distributionally robust optimization model was then constructed based on confidence intervals of 1-norm and ∞-norm. A two-stage solution approach was adopted: the first stage determined the status of branch switching and energy storage

while the second stage optimized the power dispatch and demand response strategies. The column-and-constraint generation algorithm was employed to solve the established model. [Results] Taking the IEEE 33-node distribution network as an example

four scenarios were set up for simulation

and the results showed that the proposed method could effectively improve the clean energy consumption rate

reduce the operating cost

smooth the load curve

and take into account the user’s power satisfaction. Secondly

the sensitivity of the fuzzy set of the split blue rod was analyzed

and the results showed that the confidence interval increased

the uncertainty of wind and solar output increased

the conservatism of the model becomed higher

and the cost also increased. [Conclusion] The distribution network sub-blue rod optimization model considering user satisfaction in demand response significantly improves the operation economy and user satisfaction of the distribution network

and provides an effective way to solve the problem of high proportion of wind and solar energy access.