Abstract：In view of the fact that the original high-dimensional nonlinear power flow model cannot be applied

to the linear planning of distribution network，and the existing linear power flow model has the problem of weak

universality，a calculation method of distribution network linear power flow was proposed considering the static

characteristics of load voltage and PV nodes. Based on the power flow equation in polar coordinates，the proposed

method decoupled the voltage amplitude and phase angle of the power flow equation using the characteristics of the distribution network. According to the control characteristics of PV nodes，a linear power flow calculation model

with PV nodes was derived. The proposed model not only considered the static characteristics of PV nodes and load

voltages，but also considered the adaptability to overload and weak loop networks. It could solve the voltage

distribution of distribution networks without iteration. The simulation results show that the proposed method has

high accuracy and versatility，and can be used for rapid analysis of distribution networks.

      Key words：distribution network；linear power flow；load voltage static characteristic；overload；rapid

analysis