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

Fuente: arXiv
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Hauptverfasser: Huang, Liya, Milano, Federico, Tzounas, Georgios
Format: Preprint
Veröffentlicht: 2026
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author Huang, Liya
Milano, Federico
Tzounas, Georgios
author_facet Huang, Liya
Milano, Federico
Tzounas, Georgios
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2603_02412
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Ill-Conditioned Power Flow Analysis Using a Quantized State-Based Approach
Huang, Liya
Milano, Federico
Tzounas, Georgios
Systems and Control
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.
title Ill-Conditioned Power Flow Analysis Using a Quantized State-Based Approach
topic Systems and Control
url https://arxiv.org/abs/2603.02412