Work

Sufficient Conditions for Exact Semi-definite Relaxation of Optimal Power Flow in Unbalanced Multiphase Radial Networks

Year: 2019

Type: conference-paper

Abstract: This paper proves that in an unbalanced multi-phase network with a tree topology, the semi-definite programming relaxation of optimal power flow problems is exact when critical buses are not adjacent to each other. Here a critical bus either contributes directly to the cost function or is where an injection constraint is tight at optimality. Our result generalizes a sufficient condition for exact relaxation in single-phase tree networks to tree networks with arbitrary number of phases.

Source: IEEE Conference on Decision and Control (CDC)

DOI: 10.1109/cdc40024.2019.9029827

Authors: Fengyu Zhou, Yue Chen, Steven H. Low

Institutions: California Institute of Technology, State Key Laboratory of Power System Operation and Control, Tsinghua University

Language: English

Topic: Optimal Power Flow Distribution

Subfield: Electrical and Electronic Engineering

Field: Engineering

Domain: Physical Sciences

SDG: Affordable and clean energy

Open Access status: green

OpenAlex ID: W3011390476

FWCI: 2.772

Cites: 27

Cited by: 11

Related to: 10