Analysis of the Distributions of Displacement and Eddy Currents in the Ferrite Core of an Electromagnetic Transducer Using the 2D Approach of the Edge Element Method and the Harmonic Balance Method

Wojciech Ludowicz,Rafał M Wojciechowski

doi:10.3390/en14133980

Wojciech Ludowicz, Rafał M Wojciechowski

Open Access

https://doi.org/10.3390/en14133980

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Journal: Energies	Publication Date: Jul 2, 2021
Citations: 6	License type: CC BY 4.0

Affiliation: Poznań University of Technology

Abstract

The negative impact of the displacement currents on the operation of electromagnetic converters results in additional losses and faster insulation degradation, as well as the self-resonance phenomenon. Effective measurement of the dielectric displacement currents in converters is quite complex; thus, advanced simulation programs should be used. However, currently, they do not enable the analysis of the systems in terms of the displacement currents distribution. In order to elaborate an effective tool for analyzing the distribution of the displacement currents by means of the Finite Element Method, we have decided to supplement the well-known reluctance-conductance network model with an additional capacitance model. In the paper, equations for the linked reluctance-conductance-capacitance network model have been presented and discussed in detail. Moreover, we introduce in the algorithm the Harmonic Balance Finite Element Method (HBFEM) and the Fixed-Point Method. This approach enables us to create a field model of electromagnetic converters, which includes the electromagnetic core’s saturation effect. The application of these methods for the reluctance-conductance-capacitance model of the finite element has allowed us to develop a practical tool ensuring complex analysis of the magnetic flux, eddy, and the displacement currents’ distribution in electromagnetic converters with an axial symmetrical structure.

Highlights

The process of miniaturization of electronics systems, which has been observed for over 20 years in electrical engineering and electronics, has resulted in many designers creating new prototypes, striving for their continuous miniaturization while maintaining both sufficiently high power and efficiency
By increasing the frequency of the source, the designers have been able to develop new types of electromagnetic converters that operate with frequencies reaching tens or hundreds of kilohertz, such as medium- and high-frequency transformers operating in Dual
While conducting our research on the design of electromagnetic converters, we have studied multiple open literature positions and noticed that there are a few works discussing methods that enable the analysis of distribution of the displacement and eddy currents in electromagnetic converters [9,10,11,12,13]

Summary

Introduction

The process of miniaturization of electronics systems, which has been observed for over 20 years in electrical engineering and electronics, has resulted in many designers creating new prototypes, striving for their continuous miniaturization while maintaining both sufficiently high power and efficiency. By increasing the frequency of the source, the designers have been able to develop new types of electromagnetic converters that operate with frequencies reaching tens or hundreds of kilohertz (kHz), such as medium- and high-frequency transformers operating in Dual. A few attempts can be observed to develop electromagnetic converters, of which the operation is based on the use of the conductivity currents and the dielectric displacement currents, for example the high-frequency capacitive- 4.0/).

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Conclusion