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Modular modeling for large-signal simulations of a multi-machine AC grid with MTDC interconnection


The so-called Multi-Terminal DC (MTDC) grid has
been addressed with the development of Voltage Source
Converter (VSC)(1). The VSC-based MTDC grid is expected
to enhance stability and reliability of existing AC
grids(2) and is considered as an effective solution for enabling
the massive integration of offshore wind farms(3).
Most of practical MTDC grids are now in the planning
phase, therefore it is relevant to rely on the socalled
model-based approach to synthesis and analysis of
static/dynamic performances for interconnected systems
of AC/MTDC grids. For this, it is required to construct a
generic mathematical model capturing the physical characteristics
of a target MTDC grid and to integrate it with
conventional models of AC grids.
In Ref. (4), the second author’s group reported a
modularity-based modeling for large-signal study of an interconnected
system of AC/MTDC grids and showed its
transient simulations for two network topologies of the
MTDC grid. The modularity-based modeling of interconnected
AC/MTDC systems aids their synthesis and analysis
by decomposing it into structural modules (e.g. VSC,
synchronous generator, AC line, DC line) and by exploring
the patterns of interconnection that yield the overall
performance of a system such as economic efficiency (optimality)
and physical stability. The authors of Ref. (5)
generalized the idea in Ref. (4) by introducing the idea of
sharing variables and graph-based representation to formulate
the so-called model of nonlinear differential-algebraic
In this report, we apply the modularity-based modeling
in Ref. (5) to the IEEE 9-bus system including a VSCbased
MTDC grid of all-to-all coupling and evaluated its
effectiveness for large-signal simulations and assessment
for a multi-machine power grid.


Academic chapter/article/Conference paper


  • Research Council of Norway (RCN) / 284217




  • Naoki Kawamoto
  • Yoshihiko Susuki
  • Atsushi Ishigame
  • Tsuyoshi Funaki
  • Salvatore D'Arco
  • Denis Mende
  • David Sebastian Stock


  • Japan
  • SINTEF Energy Research / Energisystemer
  • Fraunhofer-Gesellschaft zur Förderung der angewandten Forschung e.V.




Institution of Electrical Engineers of Japan (IEEJ)


Proceedings of IEEJ Power and Energy Society Annual Meeting

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