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

Abstract

Here, we introduce 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 highlights 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 findings 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];  [4]
  1. National Renewable Energy Lab. (NREL), Golden, CO (United States)
  2. Univ. of Colorado, Boulder, CO (United States)
  3. National Renewable Energy Lab. (NREL), Golden, CO (United States); City Univ. of Hong Kong (Hong Kong)
  4. California Inst. of Technology (CalTech), Pasadena, CA (United States); Univ. of Colorado, Boulder, CO (United States)
Publication Date:
Research Org.:
National Renewable Energy Laboratory (NREL), Golden, CO (United States); Univ. of Central Florida, Orlando, FL (United States)
Sponsoring Org.:
USDOE Office of Energy Efficiency and Renewable Energy (EERE), Renewable Power Office. Solar Energy Technologies Office
OSTI Identifier:
1572648
Alternate Identifier(s):
OSTI ID: 1820920
Report Number(s):
NREL/JA-5D00-74253
Journal ID: ISSN 0885-8950; MainId:24547;UUID:f9cbca2c-5998-e911-9c24-ac162d87dfe5;MainAdminID:13023
Grant/Contract Number:  
AC36-08GO28308; EE0007998
Resource Type:
Accepted Manuscript
Journal Name:
IEEE Transactions on Power Systems
Additional Journal Information:
Journal Volume: 35; Journal Issue: 3; Journal ID: ISSN 0885-8950
Publisher:
IEEE
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. https://doi.org/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. https://doi.org/10.1109/TPWRS.2019.2948978. https://www.osti.gov/servlets/purl/1572648.
@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 = {Here, we introduce 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 highlights 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 findings 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 = 3,
volume = 35,
place = {United States},
year = {2019},
month = {10}
}

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Figures / Tables:

Fig. 1 Fig. 1: (Left) $ε_i$ ∩ $ε_j$ for two arbitrary nodes $i$, $j$ in the network and their mutual voltage-to-power-injection sensitivity factors $R_{ij}$ , $X_{ij}$ . (Right) Unclustered nodes and root nodes of subtrees along with their connecting lines constitute the reduced network. Two subtrees $τ_h$ and $τ_k$ share the samemore » common $R_{ij}$ and $X_{ij}$ for any of their respective node $i$ and $j$.« less

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Works referenced in this record:

Voltage Control Using Limited Communication
preprint, January 2017


Works referencing / citing this record:

Voltage Regulation Planning for Distribution Networks Using Multi-Scenario Three-Phase Optimal Power Flow
journal, December 2019

  • Baran Junior, Antonio Rubens; Piazza Fernandes, Thelma S.; Borba, Ricardo Augusto
  • Energies, Vol. 13, Issue 1
  • DOI: 10.3390/en13010159

Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.