A Direct Power Flow Algorithm with Self-Adjusted Loss Allocation for Radial Distribution Systems

Document Type : Research article

Authors

1 Department of Electrical Engineering, Faculty of Engineering, Arak University, Arak, Iran

2 Arak University

10.61882/jgeri.2026.2083274.1101
Abstract
Power flow analysis and power loss allocation are essential tasks in the operation and planning of radial distribution systems, especially in the presence of distributed generation. Conventional transmission-oriented power flow methods often face convergence and accuracy issues when applied to distribution networks due to radial topology, high R/X ratios, and bidirectional power flows. In addition, loss allocation is commonly treated as a separate post-processing step rather than being inherently integrated into the power flow formulation. This paper proposes a direct power flow algorithm with a self-adjusted loss allocation mechanism for radial distribution systems. By introducing virtual power variables, the nonlinear lossy power flow problem is reformulated into a lossless-equivalent model, enabling efficient and numerically stable matrix-based computations. The proposed approach inherently captures and allocates power losses to system participants without additional calculations. Simulation results on several standard radial distribution test systems demonstrate close agreement with Newton–Raphson power flow solutions. Furthermore, loss allocation results are validated against the branch current decomposition and superposition-based methods, confirming the accuracy and physical consistency of the proposed framework.

Keywords



Articles in Press, Accepted Manuscript
Available Online from 24 February 2026

  • Receive Date 06 January 2026
  • Revise Date 15 February 2026
  • Accept Date 24 February 2026
  • Publish Date 24 February 2026