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Title: Accelerated Voltage Regulation in Multi-Phase Distribution Networks Based on Hierarchical Distributed Algorithm

Abstract

We propose a hierarchical distributed algorithm to solve optimal power flow (OPF) problems that aim at dispatching controllable distributed energy resources (DERs) for voltage regulation at minimum cost. The proposed algorithm features unprecedented scalability to large multi-phase distribution networks by jointly exploring the tree/subtrees structure of a large radial distribution network and the structure of the linearized distribution power flow (LinDistFlow) model to derive a hierarchical, distributed implementation of the primal-dual gradient algorithm that solves OPF. The proposed implementation significantly reduces the computation loads compared to the centrally coordinated implementation of the same primal-dual algorithm without compromising optimality. Numerical results on a 4,521-node test feeder show that the designed algorithm achieves more than 10-fold acceleration in the speed of convergence compared to the centrally coordinated primal-dual algorithm through reducing and distributing computational loads.

Authors:
 [1];  [2];  [3];  [2]
  1. National Renewable Energy Laboratory (NREL), Golden, CO (United States)
  2. University of Colorado
  3. Chinese University of Hong Kong
Publication Date:
Research Org.:
National Renewable Energy Lab. (NREL), Golden, CO (United States)
Sponsoring Org.:
USDOE Office of Energy Efficiency and Renewable Energy (EERE), Solar Energy Technologies Office (EE-4S)
OSTI Identifier:
1572648
Report Number(s):
NREL/JA-5D00-74253
DOE Contract Number:  
AC36-08GO28308
Resource Type:
Journal Article
Journal Name:
IEEE Transactions on Power Systems
Additional Journal Information:
Journal Name: IEEE Transactions on Power Systems
Country of Publication:
United States
Language:
English
Subject:
24 POWER TRANSMISSION AND DISTRIBUTION; optimal control; distributed algorithms; voltage control; large-scale systems

Citation Formats

Zhou, Xinyang, Liu, Zhiyuan, Zhao, Changhong, and Chen, Lijun. Accelerated Voltage Regulation in Multi-Phase Distribution Networks Based on Hierarchical Distributed Algorithm. United States: N. p., 2019. Web. doi:10.1109/TPWRS.2019.2948978.
Zhou, Xinyang, Liu, Zhiyuan, Zhao, Changhong, & Chen, Lijun. Accelerated Voltage Regulation in Multi-Phase Distribution Networks Based on Hierarchical Distributed Algorithm. United States. doi:10.1109/TPWRS.2019.2948978.
Zhou, Xinyang, Liu, Zhiyuan, Zhao, Changhong, and Chen, Lijun. Tue . "Accelerated Voltage Regulation in Multi-Phase Distribution Networks Based on Hierarchical Distributed Algorithm". United States. doi:10.1109/TPWRS.2019.2948978.
@article{osti_1572648,
title = {Accelerated Voltage Regulation in Multi-Phase Distribution Networks Based on Hierarchical Distributed Algorithm},
author = {Zhou, Xinyang and Liu, Zhiyuan and Zhao, Changhong and Chen, Lijun},
abstractNote = {We propose a hierarchical distributed algorithm to solve optimal power flow (OPF) problems that aim at dispatching controllable distributed energy resources (DERs) for voltage regulation at minimum cost. The proposed algorithm features unprecedented scalability to large multi-phase distribution networks by jointly exploring the tree/subtrees structure of a large radial distribution network and the structure of the linearized distribution power flow (LinDistFlow) model to derive a hierarchical, distributed implementation of the primal-dual gradient algorithm that solves OPF. The proposed implementation significantly reduces the computation loads compared to the centrally coordinated implementation of the same primal-dual algorithm without compromising optimality. Numerical results on a 4,521-node test feeder show that the designed algorithm achieves more than 10-fold acceleration in the speed of convergence compared to the centrally coordinated primal-dual algorithm through reducing and distributing computational loads.},
doi = {10.1109/TPWRS.2019.2948978},
journal = {IEEE Transactions on Power Systems},
number = ,
volume = ,
place = {United States},
year = {2019},
month = {10}
}