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Embedding AC Power Flow in the Complex Plane Part II: A Reliable Framework for Voltage Collapse Analysis

2016/09/01 by Sina Sadeghi Baghsorkhi, Baghsorkhi, Sina S., Sergey Pavlovich Suetin +1
Engineering · #FOS: Electrical engineering #Optimal Power Flow Distribution #Power System Optimization and Stability #Power System Reliability and Maintenance #Smart Grid Security and Resilience #Systems and Control (eess.SY) #electronic engineering #information engineering

paper · pdf · doi:10.48550/arxiv.1609.01211

openalex publication_date 2016/09/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

Part II of this paper elaborates on the unique capability of the proposed power flow analysis framework to obtain the true solution corresponding to the stable operating point of a network. It explains the significance of obtaining the true solution for an accurate assessment of the voltage collapse margin. This feature distinguishes the framework from all iterative and non-iterative heuristic approaches as demonstrated in the context of a 7-bus network with Newton-Raphson, its variants and semidefinite and moment-based relaxations of power flow. Another important feature of this framework is that it obtains the true solution when it exists and declares its non-existence otherwise. This is demonstrated in the context of small networks and in comparison with heuristic approaches. This paper also explores how the proposed framework detects a limit-induced bifurcation where a network controller reaching its limit can initiate voltage collapse.

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