Ill-Conditioned Power Flow Analysis Using a Quantized State-Based Approach

Liya Huang; Federico Milano; Georgios Tzounas

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arXiv · 2603.02412

Ill-Conditioned Power Flow Analysis Using a Quantized State-Based Approach

Liya Huang·Federico Milano·Georgios Tzounas

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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.

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Liya Huang, Federico Milano, Georgios Tzounas. 2026-03-02. Ill-Conditioned Power Flow Analysis Using a Quantized State-Based Approach. https://arxiv.org/abs/2603.02412

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