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

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.

Figures (7)

• Figure 1: Local convergence region, FEM.
• Figure 2: Local convergence region, bem.
• Figure 3: Well-initialized case: FEM and bem-J iterations.
• Figure 4: Well-initialized case: BEM-J-QSS iterations.
• Figure 5: Iterations of $\theta_{bus2}$ with bem-J$_{1}$ and bem-J$_{1}$-QSS, $\alpha = 1.35$.