Geometry of power flows and convex-relaxed power flows in distribution networks with high penetration of renewables

Shaojun Huang; Qiuwei Wu; Haoran Zhao; Zhaoxi Liu

doi:10.1016/j.egypro.2016.10.134

Geometry of power flows and convex-relaxed power flows in distribution networks with high penetration of renewables

Shaojun Huang, Qiuwei Wu, Haoran Zhao, Zhaoxi Liu

Research output: Contribution to journal › Journal article › Research › peer-review

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Abstract

Renewable energies are increasingly integrated in electric distribution networks and will cause severe overvoltage issues. Smart grid technologies make it possible to use coordinated control to mitigate the overvoltage issues and the optimal power flow (OPF) method is proven to be efficient in the applications such as curtailment management and reactive power control. Nonconvex nature of the OPF makes it difficult to solve and convex
relaxation is a promising method to solve the OPF very efficiently. This paper investigates the geometry of the power flows and the convex-relaxed power flows when high penetration level of renewables is present in the distribution networks. The geometry study helps understand the fundamental nature of the OPF and its convex-relaxed problem, such as the second-order cone programming (SOCP) problem. A case study based on a three-node system is used to illustrate the geometry profile of the feasible sub-injection (injection of nodes excluding the root/substation node) region

Original language	English
Journal	Energy Procedia
Volume	100
Number of pages	8
ISSN	1876-6102
DOIs	https://doi.org/10.1016/j.egypro.2016.10.134
Publication status	Published - 2016
Event	3rd International Conference on Power and Energy Systems Engineering - Kyushu Institute of Technology, Kitakyushu, Japan Duration: 8 Sep 2016 → 12 Sep 2016

Conference

Conference	3rd International Conference on Power and Energy Systems Engineering
Location	Kyushu Institute of Technology
Country	Japan
City	Kitakyushu
Period	08/09/2016 → 12/09/2016

Bibliographical note

Keywords

Power flow
Convex relaxation
Distribution network
Distributed energy resources

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10.1016/j.egypro.2016.10.134

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@article{06f0310e35774535bcf345fdf39d86d0,

title = "Geometry of power flows and convex-relaxed power flows in distribution networks with high penetration of renewables",

abstract = "Renewable energies are increasingly integrated in electric distribution networks and will cause severe overvoltage issues. Smart grid technologies make it possible to use coordinated control to mitigate the overvoltage issues and the optimal power flow (OPF) method is proven to be efficient in the applications such as curtailment management and reactive power control. Nonconvex nature of the OPF makes it difficult to solve and convexrelaxation is a promising method to solve the OPF very efficiently. This paper investigates the geometry of the power flows and the convex-relaxed power flows when high penetration level of renewables is present in the distribution networks. The geometry study helps understand the fundamental nature of the OPF and its convex-relaxed problem, such as the second-order cone programming (SOCP) problem. A case study based on a three-node system is used to illustrate the geometry profile of the feasible sub-injection (injection of nodes excluding the root/substation node) region",

keywords = "Power flow, Convex relaxation, Distribution network, Distributed energy resources",

author = "Shaojun Huang and Qiuwei Wu and Haoran Zhao and Zhaoxi Liu",

note = "{\textcopyright} 2016 The Authors. Published by Elsevier Ltd. This is an open access article under the CC BY-NC-ND license; 3rd International Conference on Power and Energy Systems Engineering, CPESE 2016 ; Conference date: 08-09-2016 Through 12-09-2016",

year = "2016",

doi = "10.1016/j.egypro.2016.10.134",

language = "English",

volume = "100",

journal = "Energy Procedia",

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TY - JOUR

T1 - Geometry of power flows and convex-relaxed power flows in distribution networks with high penetration of renewables

AU - Huang, Shaojun

AU - Wu, Qiuwei

AU - Zhao, Haoran

AU - Liu, Zhaoxi

PY - 2016

Y1 - 2016

N2 - Renewable energies are increasingly integrated in electric distribution networks and will cause severe overvoltage issues. Smart grid technologies make it possible to use coordinated control to mitigate the overvoltage issues and the optimal power flow (OPF) method is proven to be efficient in the applications such as curtailment management and reactive power control. Nonconvex nature of the OPF makes it difficult to solve and convexrelaxation is a promising method to solve the OPF very efficiently. This paper investigates the geometry of the power flows and the convex-relaxed power flows when high penetration level of renewables is present in the distribution networks. The geometry study helps understand the fundamental nature of the OPF and its convex-relaxed problem, such as the second-order cone programming (SOCP) problem. A case study based on a three-node system is used to illustrate the geometry profile of the feasible sub-injection (injection of nodes excluding the root/substation node) region

AB - Renewable energies are increasingly integrated in electric distribution networks and will cause severe overvoltage issues. Smart grid technologies make it possible to use coordinated control to mitigate the overvoltage issues and the optimal power flow (OPF) method is proven to be efficient in the applications such as curtailment management and reactive power control. Nonconvex nature of the OPF makes it difficult to solve and convexrelaxation is a promising method to solve the OPF very efficiently. This paper investigates the geometry of the power flows and the convex-relaxed power flows when high penetration level of renewables is present in the distribution networks. The geometry study helps understand the fundamental nature of the OPF and its convex-relaxed problem, such as the second-order cone programming (SOCP) problem. A case study based on a three-node system is used to illustrate the geometry profile of the feasible sub-injection (injection of nodes excluding the root/substation node) region

KW - Power flow

KW - Convex relaxation

KW - Distribution network

KW - Distributed energy resources

U2 - 10.1016/j.egypro.2016.10.134

DO - 10.1016/j.egypro.2016.10.134

M3 - Journal article

VL - 100

JO - Energy Procedia

JF - Energy Procedia

SN - 1876-6102

T2 - 3rd International Conference on Power and Energy Systems Engineering

Y2 - 8 September 2016 through 12 September 2016

ER -