摘要

Alternating current (ac) power flow (PF) presents difficulties for power system analysis and optimization due to its non-linearity. Progress has been made to approximately linearize ac PF in recent decades. However, few studies have reported the simultaneous accurate approximation of reactive power and transmission losses. To bridge this gap, this paper investigates the linear approximation of ac PF considering the accuracy of the reactive load flows and transmission losses. Using the logarithmic transform of voltage magnitudes, a linear PF (LPF) model involving tap changers and phase shifters is derived from the approximation analysis of general branch flows. Transmission power loss and loss-concerned complex branch flow are also formulated. Cold-start and warm-start LPF calculation methods associated with injection compensation are also developed. Numerical simulations are performed to compare the proposed models and several state-of-the-art LPF models using 25 practical-scale test systems. The simulation results demonstrate the advantages of the proposed model over the other models for approximating voltage magnitudes, branch flows, and power losses. The effectiveness of using proper compensation injection in improving the solution accuracy is also verified.