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Knowledge Based Cloud FE Simulation of Sheet Metal Forming Processes

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An Iterative Error Correction Procedure for Single Sheet Testers Using FEM 3D Model.

Robert Krobot^1,2, Martin Dadić²

¹DEIF A/S, Frisenborgvej 33, 7800 Skive, Denmark.

Sensors (Basel, Switzerland)

|June 27, 2025

Summary

This summary is machine-generated.

This study introduces a new method to accurately measure magnetic properties of electric steels. The finite element model (FEM) and Single Sheet Tester (SST) improve BH curve and power loss measurements for electrical machine design.

Keywords:

BH curve FEM 3D analysis core losses electrical steel iterative procedures single sheet tester steepest descent

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Area of Science:

Materials Science
Electrical Engineering
Computational Electromagnetics

Background:

Accurate determination of magnetic properties, specifically the single-valued BH curve and power loss curve for electric steels, is crucial for designing efficient electrical machines and transformers.
Existing methods may have limitations in precision, necessitating improved measurement techniques.

Purpose of the Study:

To propose and validate a correction procedure for measuring the anhysteretic BH curve and power losses of electric steels.
To enhance the accuracy of magnetic property measurements using a combination of finite element modeling and experimental data.

Main Methods:

Development of a 3D finite element model (FEM) of the Single Sheet Tester (SST) compliant with the IEC 60404-3 standard.
Iterative correction of initial BH and power loss curves (derived from magnetic equivalent circuits theory) using measured data fed into the FEM.
Application of the steepest descent algorithm for the iterative correction process, with stopping criteria based on the difference between simulated and measured global variables (power loss, induced voltage, primary current).

Main Results:

Significant reduction in root mean squared errors for the BH curve, from 1.85 A/m to 42.88 × 10^-3 A/m.
Substantial decrease in root mean squared errors for the power loss curve, from 44.5 × 10^-4 W/kg to 7.28 × 10^-4 W/kg.
Validation of the proposed correction procedure through improved accuracy in magnetic property determination.

Conclusions:

The proposed iterative correction procedure effectively enhances the accuracy of BH curve and power loss measurements for electric steels.
The integration of FEM with experimental data from an SST apparatus provides a robust method for refining magnetic material characterization.
This improved accuracy is vital for optimizing the design and performance of electrical machines and transformers.