@article{Song2026, 
author = {Wenchao Song and Junjie Lin and Jingbo He and Chao Lu},
title = {PMU-based Linear Power Flow Calculation Method with Minimizing Probability Errors},
year = {2026},
journal = {CSEE Journal of Power and Energy Systems},
volume = {12},
number = {4},
pages = {1914-1925},
keywords = {Integer programming model, linear measurement equation, measurement error, phasor measurement unit, power flow calculation},
url = {https://www.sciopen.com/article/10.17775/CSEEJPES.2023.06990},
doi = {10.17775/CSEEJPES.2023.06990},
abstract = {With large-scale access to renewable energy, long-distance transmission via hybrid AC-DC networks and frequent load fluctuations, measurement-based online power flow calculation needs to be adapted to the volatility and randomness of modern power systems, and high accuracy and real-time performance are required for online power flow. However, the traditional power flow method suffers from lengthy computation, convergence difficulty and inaccuracy caused by RTU asynchronous errors. Therefore, a PMU-based online accurate linear power flow method that minimizes the probability of errors in power flow is proposed to improve accuracy and real-time performance. This power flow method no longer bounds PQ, PV or Vθ buses, and establishes a linear relationship between the voltage and current measurements. To address the problems of complicated PMU measurement errors and the high proportion of low-quality data, a 0–1 integer programming model is established to select a set of linear measurement equations for minimizing probability errors, and a complete method of PMU-based linear power flow calculation is proposed. Finally, the efficacy of the proposed linear power flow calculation method is verified on an IEEE 39 bus system and a large-scale power grid in China.}
}