# Magnetic equivalent circuit of MF transformers: modeling and parameter uncertainties

Magnetic equivalent circuit of MF transformers: modeling and parameter uncertainties Medium-frequency (MF) transformers are extensively used in power electronic converters. Accordingly, accurate models of such devices are required, especially for the magnetic equivalent circuit. Literature documents many different methods to calculate the magnetizing and leakage inductances of transformers, where, however, few comparisons exist between the methods. Furthermore, the impact of underlying hypotheses and parameter uncertainties is usually neglected. This paper analyzes nine different models, ranging from simple analytical expressions to 3D detailed numerical simulations. The accuracy of the different methods is assessed by means of Monte Carlo simulations and linearized statistical models. The experimental results, conducted with a $$100\,{\hbox {kHz}}$$ 100 kHz / $$20\,{\hbox {kW}}$$ 20 kW MF transformer employed in a $$400\,{\hbox {V}}$$ 400 V  DC distribution system isolation, are in agreement with the simulations (below 14% inaccuracy for all the considered methods). It is concluded that, considering typical tolerances, analytical models are accurate enough for most applications and that the tolerance analysis can be conducted with linearized models. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Electrical Engineering (Archiv fur Elektrotechnik) Springer Journals

# Magnetic equivalent circuit of MF transformers: modeling and parameter uncertainties

Electrical Engineering (Archiv fur Elektrotechnik), Volume 100 (4) – May 30, 2018
15 pages

/lp/springer_journal/magnetic-equivalent-circuit-of-mf-transformers-modeling-and-parameter-80wcGodl0o
Publisher
Springer Journals
Subject
Engineering; Electrical Engineering; Power Electronics, Electrical Machines and Networks; Energy Policy, Economics and Management
ISSN
0948-7921
eISSN
1432-0487
D.O.I.
10.1007/s00202-018-0701-0
Publisher site
See Article on Publisher Site

### Abstract

Medium-frequency (MF) transformers are extensively used in power electronic converters. Accordingly, accurate models of such devices are required, especially for the magnetic equivalent circuit. Literature documents many different methods to calculate the magnetizing and leakage inductances of transformers, where, however, few comparisons exist between the methods. Furthermore, the impact of underlying hypotheses and parameter uncertainties is usually neglected. This paper analyzes nine different models, ranging from simple analytical expressions to 3D detailed numerical simulations. The accuracy of the different methods is assessed by means of Monte Carlo simulations and linearized statistical models. The experimental results, conducted with a $$100\,{\hbox {kHz}}$$ 100 kHz / $$20\,{\hbox {kW}}$$ 20 kW MF transformer employed in a $$400\,{\hbox {V}}$$ 400 V  DC distribution system isolation, are in agreement with the simulations (below 14% inaccuracy for all the considered methods). It is concluded that, considering typical tolerances, analytical models are accurate enough for most applications and that the tolerance analysis can be conducted with linearized models.

### Journal

Electrical Engineering (Archiv fur Elektrotechnik)Springer Journals

Published: May 30, 2018

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