Investigating Continuous Power Flow Solutions of IEEE-14 Bus System
Bin Liu, Feng Liu, Bingxu Zhai, Haibo Lan
TL;DR
This paper explores the multiple solutions of power flow equations in the IEEE-14 bus system using a combined SDP relaxation and RLT method, revealing continuous solutions and contributing to understanding the geometry of power flow equations.
Contribution
It introduces a novel approach combining SDP relaxation and RLT to find continuous solutions for power flow equations in the IEEE-14 bus system.
Findings
Identified two continuous solutions for the IEEE-14 bus system
Demonstrated the effectiveness of the combined SDP and RLT method
Provided insights into the multiplicity and geometry of power flow solutions
Abstract
This letter focuses on the multiplicity of power flow (PF) equations and presents two continuous solutions for widely studied IEEE-14 bus system. The continuous solutions are located by a method combining the semidefinite program (SDP) relaxation and reformulation linearization technique (RLT). Although the observation is non-trivial, it is of interest to researchers investigating the geometry or multiplicity nature of PF equations.
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Taxonomy
TopicsPower System Optimization and Stability · Optimal Power Flow Distribution · Smart Grid Security and Resilience