Kron Reduction Based on Node Ordering Optimization for Distribution Network Dispatching with Flexible Loads

Kron reduction is a general tool of network simplification for flow calculation. With a growing number of flexible loads appearing in distribution networks, traditional Kron reduction cannot be widely used in control and scheduling due to the elimination of controllable and variable load buses. Ther...

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Main Authors: Huihui Song, Linkun Han, Yichen Wang, Weifeng Wen, Yanbin Qu
Format: Article
Language:English
Published: MDPI AG 2022-04-01
Series:Energies
Subjects:
Online Access:https://www.mdpi.com/1996-1073/15/8/2964
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author Huihui Song
Linkun Han
Yichen Wang
Weifeng Wen
Yanbin Qu
author_facet Huihui Song
Linkun Han
Yichen Wang
Weifeng Wen
Yanbin Qu
author_sort Huihui Song
collection DOAJ
description Kron reduction is a general tool of network simplification for flow calculation. With a growing number of flexible loads appearing in distribution networks, traditional Kron reduction cannot be widely used in control and scheduling due to the elimination of controllable and variable load buses. Therefore, this paper proposes an improved Kron reduction based on node ordering optimization whose principles guarantee that all the boundary nodes are retained eventually after eliminating the first row and the first column in every step according to the order, thereby making it possible to take full advantage of their potential to meet different requirements in power system calculation and dispatching. The proposed method is verified via simulation models of IEEE 5-bus and 30-bus systems through illustrating the dynamic consistency of the output active power of the generator nodes and the power flow data of preserved nodes before and after reduction.
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spelling doaj.art-6ff16fba0f3e416cbc3bfa3f9c605de92023-12-01T20:51:04ZengMDPI AGEnergies1996-10732022-04-01158296410.3390/en15082964Kron Reduction Based on Node Ordering Optimization for Distribution Network Dispatching with Flexible LoadsHuihui Song0Linkun Han1Yichen Wang2Weifeng Wen3Yanbin Qu4School of New Energy, Harbin Institute of Technology, Weihai 264209, ChinaState Grid Tai’an Electric Power Company, Tai’an 271000, ChinaSchool of Electrical and Electronic Engineering, Nanyang Technological University, 50 Nanyang Avenue, Singapore 639798, SingaporeSchool of New Energy, Harbin Institute of Technology, Weihai 264209, ChinaSchool of New Energy, Harbin Institute of Technology, Weihai 264209, ChinaKron reduction is a general tool of network simplification for flow calculation. With a growing number of flexible loads appearing in distribution networks, traditional Kron reduction cannot be widely used in control and scheduling due to the elimination of controllable and variable load buses. Therefore, this paper proposes an improved Kron reduction based on node ordering optimization whose principles guarantee that all the boundary nodes are retained eventually after eliminating the first row and the first column in every step according to the order, thereby making it possible to take full advantage of their potential to meet different requirements in power system calculation and dispatching. The proposed method is verified via simulation models of IEEE 5-bus and 30-bus systems through illustrating the dynamic consistency of the output active power of the generator nodes and the power flow data of preserved nodes before and after reduction.https://www.mdpi.com/1996-1073/15/8/2964Kron reductionnode ordering optimizationflexible loadsdistribution network dispatchinggraph theory
spellingShingle Huihui Song
Linkun Han
Yichen Wang
Weifeng Wen
Yanbin Qu
Kron Reduction Based on Node Ordering Optimization for Distribution Network Dispatching with Flexible Loads
Energies
Kron reduction
node ordering optimization
flexible loads
distribution network dispatching
graph theory
title Kron Reduction Based on Node Ordering Optimization for Distribution Network Dispatching with Flexible Loads
title_full Kron Reduction Based on Node Ordering Optimization for Distribution Network Dispatching with Flexible Loads
title_fullStr Kron Reduction Based on Node Ordering Optimization for Distribution Network Dispatching with Flexible Loads
title_full_unstemmed Kron Reduction Based on Node Ordering Optimization for Distribution Network Dispatching with Flexible Loads
title_short Kron Reduction Based on Node Ordering Optimization for Distribution Network Dispatching with Flexible Loads
title_sort kron reduction based on node ordering optimization for distribution network dispatching with flexible loads
topic Kron reduction
node ordering optimization
flexible loads
distribution network dispatching
graph theory
url https://www.mdpi.com/1996-1073/15/8/2964
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