Author(s)

Jyrki Penttonen^1,2*, Muhammad Shafiq², Matti Lehtonen¹

¹Department of Electrical Engineering, Aalto University, Espoo, Finland.
²Vensum Ltd., Helsinki, Finland.

The use of reluctance networks has been a conventional practice to analyze transformer structures. Basic transformer structures can be well analyzed by using the magnetic-electric analogues discovered by Heaviside in the 19^th century. However, as power transformer structures are getting more complex today, it has been recognized that changing transformer structures cannot be accurately analyzed using the current reluctance network methods. This paper presents a novel method in which the magnetic reluctance network or arbitrary complexity and the surrounding electrical networks can be analyzed as a single network. The method presented provides a straightforward mapping table for systematically linking the electric lumped elements to magnetic circuit elements. The methodology is validated by analyzing several practical transformer structures. The proposed method allows the analysis of coupled inductor of any complexity, linear or non-linear.

Power Transformer, Coupled Inductor, Reluctance Networks, Electromagnetic Modeling

Penttonen, J. , Shafiq, M. and Lehtonen, M. (2017) Reluctance Network Analysis for Complex Coupled Inductors. Journal of Power and Energy Engineering, 5, 1-14. doi: 10.4236/jpee.2017.51001.