Conference article

A Fundamental Time-Domain and Linearized Eigenvalue Analysis of Coalesced Power Transmission and Unbalanced Distribution Grids using Modelica and the OpenIPSL

Marcelo de C. Fernandes
Dept. of Electrical, Computer and Systems Engineering, Rensselaer Polytechnic Institute, USA

Luigi Vanfretti
Dept. of Electrical, Computer and Systems Engineering, Rensselaer Polytechnic Institute, USA

Janaína G. de Oliveira
Dept. of Electrical Energy, Federal University of Juiz de Fora, Brazil

Maxime Baudette
Grid Integration Group, Energy Storage & Distributed Resources Division, Lawrence Berkeley National Laboratory, Berkeley, CA, USA

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Published in: Proceedings of the 13th International Modelica Conference, Regensburg, Germany, March 4–6, 2019

Linköping Electronic Conference Proceedings 157:63, p. 10

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Published: 2019-02-01

ISBN: 978-91-7685-122-7

ISSN: 1650-3686 (print), 1650-3740 (online)


This paper present mathematical modeling and implementation in Modelica language of a coalesced electric power transmission and distribution system model. To this end, a newly developed feature in OpenIPSL that allows to amalgamate power transmission and distribution networks at the equation level is described, two different sample power systems are assembled and three simulations are performed for each of them in a Modelica-compliant software. Dynamic simulations are carried out to perform comparisons between different modeling approaches for a distribution feeder and among different load characteristics. Moreover, each simulation is linearized using a script in ten specific time instants and an eigenvalue comparison is performed. Results show that the conventional positive sequence models may lead to errors about the dynamic behavior of the entire system, specially when considering unbalances in distribution networks.


Modelica, Power Systems, Hybrid Models, Linearization, Eigenvalues, Transmission Networks, Distribution Networks


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