Ill-Conditioned Power Flow Analysis Using a Quantized State-Based Approach
Systems and Control
2026-03-04 v1 Systems and Control
Abstract
This paper focuses on power flow analysis through the lens of the Newton flow, a continuous-time formulation of Newton's method. Within this framework, we explore how quantized-state concepts, originally developed as an alternative to time discretization, can be incorporated to govern the evolution of the Newton flow toward the power flow solution. This approach provides a novel perspective on adaptive step-size control and shows how state quantization can enhance robustness in illconditioned cases. The performance of the proposed approach is discussed with the ACTIVSg70k synthetic test system.
Cite
@article{arxiv.2603.02412,
title = {Ill-Conditioned Power Flow Analysis Using a Quantized State-Based Approach},
author = {Liya Huang and Federico Milano and Georgios Tzounas},
journal= {arXiv preprint arXiv:2603.02412},
year = {2026}
}