1. China Electric Power Research Institute, Beijing 100192, China;2. School of Electrical Engineering, Xi'an Jiaotong University, Xi'an 710049, China;3. State Key Laboratory of Control and Simulation of Power System and Generation Equipments, Tsinghua University, Beijing 100084, China; 4. Department of Electrical Engineering and Computer Science, University of Tennessee, Knoxville, TN 37996-2100, USA; 5. State Grid Beijing Haidian Electric Power Supply Company, Beijing 100195, China

The traditional interval power flow studies have ignored some actual physical constraints, such as output limit constraints of balancing machine, steady-state adjustments of generation, which therefore bring about conservative results. Interval DC power flow models with the consideration of the balancing machine constraints and steady-state adjustments are set up respectively. Furthermore, these problems are solved by optimization method. Moreover, the proposed method could be extended to other interval DC power flow problems including different constraints. Finally, the simulations of 9-bus and IEEE 118-bus system verify the effectiveness of the proposed method and the conservativeness of the traditional interval DC power flow model is reduced.