Study of power flow algorithm of AC/DC distribution system including VSC-MTDC

Haifeng Liang*, Xiaoling Zhao, Xiaolei Yu, Yajing Gao, Jin Yang

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


In recent years, distributed generation and a large number of sensitive AC and DC loads have been connected to distribution networks, which introduce a series of challenges to distribution network operators (DNOs). In addition, the advantages of DC distribution networks, such as the energy conservation and emission reduction, mean that the voltage source converter based multi-terminal direct current (VSC-MTDC) for AC/DC distribution systems demonstrates a great potential, hence drawing growing research interest. In this paper, considering losses of the reactor, the filter and the converter, a mathematical model of VSC-HVDC for the load flow analysis is derived. An AC/DC distribution network architecture has been built, based on which the differences in modified equations of the VSC-MTDC-based network under different control modes are analyzed. In addition, corresponding interface functions under five control modes are provided, and a back/forward iterative algorithm which is applied to power flow calculation of the AC/DC distribution system including VSC-MTDC is proposed. Finally, by calculating the power flow of the modified IEEE14 AC/DC distribution network, the efficiency and validity of the model and algorithm are evaluated. With various distributed generations connected to the network at appropriate locations, power flow results show that network losses and utilization of transmission networks are effectively reduced.

Original languageEnglish
Pages (from-to)8391-8405
Number of pages15
Issue number8
Publication statusPublished - 7 Aug 2015

Bibliographical note

This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).


  • Back/forward iterative algorithm
  • Distribution systems
  • Interface functions
  • Mathematical model
  • MTDC
  • Voltage source converter


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