Study on Power Flow Linearization Based on Error Correction of Voltage Profiles

Power flow linearization can tackle the challenges attributed to the inherent nonconvexities of power flow equations. Different linear models have been widely utilized in various power system applications. During the derivation, the common assumptions are flat voltage profiles and zero angle differences of branches. However, when the assumptions are not satisfied enough, the approximation of linear models deteriorates. Hence, this paper proposes a power flow linearization method based on error correction of voltage profiles. The coefficients of related terms in the linearized power flow equations are corrected according to a rough estimate of voltage profiles. The proposed method is tested extensively on benchmark systems. The results show the approximate accuracy of power flow linearization improves if the coefficients are selected appropriately. A guideline on selecting coefficients is concluded for both transmission and distribution systems.