Data driven approach towards more efficient Newton-Raphson power flow calculation for distribution grids

• URL: http://arxiv.org/abs/2504.11650v1
• Date: Tue, 15 Apr 2025 22:37:55 GMT
• Title: Data driven approach towards more efficient Newton-Raphson power flow calculation for distribution grids
• Authors: Shengyuan Yan, Farzad Vazinram, Zeynab Kaseb, Lindsay Spoor, Jochen Stiasny, Betul Mamudi, Amirhossein Heydarian Ardakani, Ugochukwu Orji, Pedro P. Vergara, Yu Xiang, Jerry Guo,
• Abstract summary: Power flow (PF) calculations are fundamental to power system analysis to ensure stable and reliable grid operation.<n>The Newton-Raphson (NR) method is commonly used for PF analysis due to its rapid convergence when properly.<n>This work proposes strategies to improve NR, hence minimizing iterations and avoiding divergence.
• Score: 1.6396659596758738
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Power flow (PF) calculations are fundamental to power system analysis to ensure stable and reliable grid operation. The Newton-Raphson (NR) method is commonly used for PF analysis due to its rapid convergence when initialized properly. However, as power grids operate closer to their capacity limits, ill-conditioned cases and convergence issues pose significant challenges. This work, therefore, addresses these challenges by proposing strategies to improve NR initialization, hence minimizing iterations and avoiding divergence. We explore three approaches: (i) an analytical method that estimates the basin of attraction using mathematical bounds on voltages, (ii) Two data-driven models leveraging supervised learning or physics-informed neural networks (PINNs) to predict optimal initial guesses, and (iii) a reinforcement learning (RL) approach that incrementally adjusts voltages to accelerate convergence. These methods are tested on benchmark systems. This research is particularly relevant for modern power systems, where high penetration of renewables and decentralized generation require robust and scalable PF solutions. In experiments, all three proposed methods demonstrate a strong ability to provide an initial guess for Newton-Raphson method to converge with fewer steps. The findings provide a pathway for more efficient real-time grid operations, which, in turn, support the transition toward smarter and more resilient electricity networks.

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