# Parameter Estimation for the Basic Zirka-Moroz History-Dependent Hysteresis Model for Electrical Steels

## TL;DR

This paper explains how to estimate parameters for a hysteresis model used to describe magnetization in electrical steels, focusing on its accuracy and challenges.

## Contribution

The paper provides a detailed analysis of a two-step parameter estimation procedure for the Zirka-Moroz hysteresis model using real-world data.

## Key findings

- The two-step procedure was applied to non-oriented and grain-oriented electrical steels.
- Estimated parameters were compared to reference values for non-oriented steels.
- The analysis highlights the model's capabilities and limitations for different steel types.

## Abstract

History-dependent hysteresis models can potentially describe magnetization curves of all orders accurately. This property is essential for modeling magnetization and power loss in magnetic components subjected to distorted excitation waveforms, which result in complex magnetization patterns such as offset minor loops. The basic Zirka–Moroz history-dependent hysteresis model offers a good balance between the model’s complexity and accuracy. However, estimating the model’s parameters can be challenging. This research provides insight into the parameter estimation procedure for the discussed hysteresis model. Based on the measured first-order reversal curves, the fundamental two-step parameter estimation procedure was employed and analyzed for two non-oriented and one grain-oriented electrical steel types used widely in contemporary electric drives and electromagnetic devices. For each sample evaluated, two sets of parameters were estimated and compared to the reference parameters recommended for non-oriented electrical steels. The performed analysis is essential for gaining a comprehensive understanding of the capabilities, challenges, requirements, and limitations associated with estimating the parameters and performance of the analyzed model for specific electrical steel types.