With the rapid increase of China’s total power demand and the implementation of the dual carbon target, the contradiction between power supply and demand is becoming more and more serious. Orderly use of electricity is an important mean to alleviate the contradiction between supply and demand in peak hours of power supply system. In order to fully tap the user’s ordered power consumption potential, a limitable load model based on the inner box approximation model is proposed. The user aggregation model is obtained by Minkowski Sum, which effectively simplifies the computational complexity of large-scale user planning and reduces the risk of user electricity information exposure. Furthermore, the power company establishes a multi-objective optimal scheduling model considering the value of emergency error peak avoidance, fairness and social impact of users when implementing orderly power consumption plan, in order to minimize the impact of lack of electricity on social economy and residents’lives. Finally, the effectiveness of the proposed model is verified by simulation, and its advantages in computing efficiency and privacy security are analyzed with an example.