Universal branch model for the solution of optimal power flows in hybrid AC/DC grids

Abraham Alvarez-Bustos, Behzad Kazemtabrizi, Mahmoud Shahbazi, Enrique Acha-Daza

Research output: Contribution to journalArticleScientificpeer-review

1 Citation (Scopus)


This paper presents a universal model formulation for solving Optimal Power Flows for hybrid AC/DC grids. The prowess of the new formulation is that it (i) provides a direct link between AC and DC parts of the grid allowing for solving the entire network within a unified frame of reference (not sequentially) and (ii) can realistically model any element within the AC/DC power grid, ranging from conventional AC transmission lines to multiple types of AC/DC interface devices such as Voltage Source Converters (VSC) by introducing additional control variables. The model is formulated in such a way that it does not make a distinction, from a mathematical perspective, between AC and DC elements and the ensuing optimal power flow (OPF) problem can be solved via model-based optimization solvers as a mathematical programming problem. Simulations carried out using a variety of non-linear gradient-based solvers in AIMMS

Original languageEnglish
Article number106543
JournalInternational Journal of Electrical Power and Energy Systems
Issue numberPart A
Early online date2020
Publication statusPublished - Mar 2021
Publication typeA1 Journal article-refereed


  • AC/DC power systems
  • Control
  • Modelling
  • Optimal power flows
  • Voltage source converter

Publication forum classification

  • Publication forum level 2

ASJC Scopus subject areas

  • Energy Engineering and Power Technology
  • Electrical and Electronic Engineering


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