Summary

Alternating current (AC)/multi-terminal direct current (MTDC) hybrid power systems (HPSs) play a crucial role in enabling long-distance power transmission and flexible interconnections between AC grids. However, the challenges that HPSs encountered are numerous, with stability and harmonic issues being particularly prominent. Traditional electromagnetic transient (EMT) tools have struggled to accommodate small-signal stability problems and the potential issues of the optimal interactions among converters. To address this gap, HARMONY (“HARMONic stabilitY assessment of PE-penetrated power systems”) has been developed for the advanced simulation and analysis of interconnected AC/MTDC HPSs as a comprehensive mathematical framework based on C++ programming language. The primary goals of Harmony are to provide faster and trusted stability analyses, and address the analytical difficulties associated with converter control dynamics, converter-driven stability, and interoperability in HPSs. This framework is intended to be open source, therefore broadening collaboration for researchers, and to contribute to the community of power systems engineers.

In this paper, we demonstrate two core functionalities featured in HARMONY, that are optimal power flow (OPF) and harmonic stability analyses (HAS). The underlying analysis models and computational methodologies for both functionalities are presented in detail to help future readers and users gain a clear understanding of mathematical fundamentals of HARMONY.

Furthermore, we introduce the integrated framework of OPF and HAS designed in

HARMONY, along with representative printed analysis results, to demonstrate the appealing capabilities of HARMONY.

Additional informations

Publication type Session Materials
Reference B4_10277_2026
Publication year
Publisher CIGRE
Country Netherlands, The
Study committees
File size 1 MB
Price for non member 30 €
Price for member 30 €

Authors

LEKIĆ Aleksandra - Delft University of Technology; KERMANSARAVI Azadeh - The Hague University of Applied Sciences; LI Haixiao - Delft University of Technology; LARES Yasel Quintero - Delft University of Technology; ALSARAYREH Saif - Delft University of Technology; DIMITROVSKI Robert - TenneT TSO GmbH

Keywords

Multi-terminal DC, harmonic stability analysis, optimal power flow, open source

Advanced simulation framework for AC/MTDC power systems