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

TL;DR

This paper introduces a novel quantized-state approach to power flow analysis using Newton flow, improving robustness and adaptive control in ill-conditioned systems, demonstrated on a large synthetic test system.

Contribution

It presents a new quantized-state method for power flow analysis that enhances robustness and adaptive step-size control in ill-conditioned scenarios.

Findings

Improved robustness in ill-conditioned power flow cases.

Effective adaptive step-size control via state quantization.

Validated approach on ACTIVSg70k test system.

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.