Efficient Graph Theory Based Load Flow Solver for DC Distribution Networks Considering DC/DC Converter Models

Zahid Javid, Tao Xue, Karaagac Ulas, Ilhan Kocar

Research output: Chapter in book / Conference proceedingConference article published in proceeding or bookAcademic researchpeer-review

2 Citations (Scopus)

Abstract

This paper proposes a load flow (LF) solver for DC distribution networks by incorporating generic DC/DC converter models for buck, boost, and buck-boost operations. A generic LF solver is formulated using the developed DC/DC converter models by taking advantage of graph theory for DC grids. The proposed method is based on Laplacian Matrix (LM) formulation. Due to non-linearities induced by constant power terminals (CPTs) and distributed generators (DGs), the proposed formulation will be solved iteratively. Instead of using classical bus power injections, the summation of line flows is employed in LF calculation to account for connections to buses with different converter operations. The main advantage of this formulation is that the Laplacian Matrix for a given DC network needs to form only once before starting the iterative procedure, and it will remain constant throughout the process. The proposed method utilizes an improved LM technique, so it has no topology constraints. To validate the proposed method, the modified IEEE 33 bus test feeder is simulated in MATLAB with different configurations and loading conditions. The accuracy of the proposed method is validated by comparing the results with Electromagnetic Transient (EMT) simulations. The results show that the proposed method can handle all DC/DC converter operations and can provide a fast LF solution for DC distribution networks.

Original languageEnglish
Title of host publicationProceedings of the 9th International Conference on Power Electronics Systems and Applications, PESA 2022
EditorsKa-wai Eric Cheng
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9781665486682
DOIs
Publication statusPublished - Sept 2022
Event9th International Conference on Power Electronics Systems and Applications, PESA 2022 - Hong Kong, Hong Kong
Duration: 20 Sept 202222 Sept 2022

Publication series

NameProceedings of the 9th International Conference on Power Electronics Systems and Applications, PESA 2022

Conference

Conference9th International Conference on Power Electronics Systems and Applications, PESA 2022
Country/TerritoryHong Kong
CityHong Kong
Period20/09/2222/09/22

Keywords

  • DC distribution networks
  • DC/DC converters
  • Graph Theory
  • Laplacian Matrix
  • Load Flow

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Control and Optimization
  • Energy Engineering and Power Technology

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