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

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.

Electromagnetic Design and Analysis in Electrical Power Conversion and Usage

“…Paper [5] presents variety of results, including displacement and eddy current densities in the ferrite cores. To aid visualization, they also provide the time domain behaviour at several points in each core.…”

“…Paper [5] is interested in the challenges of maintaining voltage quality in distribution networks, given that the increasing inclusion of renewable energy is completed using inverters, which can cause significant deformation of the output signals, while harmonics can be caused by nonlinear loads connected to the supply system.…”

“…This is then passed through (a) the tested voltage transformer and (b) a reference voltage divider, providing a highly accurate output with low distortion. Rather than a graphical presentation of the results, the authors determine an error metric using the tested voltage output and the reference voltage divider output, according to Equation (2) (modified from Equation ( 8) in [5]).…”

Finite element analysis and experimental verification of high reliability synchronous reluctance machine

“…In further research, a field model of the motor under consideration was developed. In the analysis of SynRM machines, due to the strong influence of the core nonlinearity, field models based on the Finite Element Analysis (FEM) are commonly used [21,31]. The use of advanced simulation techniques reduces the cost and time of building and testing motor prototypes.…”

Application of the Harmonic Balance Method for Spatial Harmonic Interactions Analysis in Axial Flux PM Generators

“…The Harmonic Balance Method (HBM) [26][27][28][29][30][31][32][33] gives the possibility of analyzing solutions of mathematic model equations of electrical machines in case of periodic variation of their coefficients; it is a simple extension of the symbolic method and leads to algebraization of the machine description in steady states. This approach is competitive with FEM analysis and allows to combine the electromagnetic phenomena occurring in the process of energy conversion in electrical machines.…”