Lifting Model-Based Interval Analysis for DC Power Flow in Presence of Uncertain Network Reactance and Power Injections

This brief develops a novel interval power flow model in the presence of both uncertain network reactance and power injections. To reduce the interval growth of the interval operators, the traditional DC power flow equations are lifted into a higher dimensional space, where the admittance matrix is split into three parts and interval linear equations are with a higher dimension. Furthermore, an iteration method is designed to solve the proposed model and the convergence is strictly proved and guaranteed. Numerical studies on several test systems show the effectiveness of the proposed model.