Abstract
The modeling of a ferromagnetic core coil magnetic hysteresis has been considered. The measurement basis consisted of waveforms that have been recorded for various levels of the iron core saturation levels. The investigated models included classical cases as well as models including a nonlinear fractional coil. The possibilities of solutions for transient problems including such models have been recalled. The details of the estimation process have been described next, where each model evaluation made use of an original methodology dealing with periodic steady states. The influence of the model response on parameter changes has also been studied. Further on the parameter estimation procedure has been described, and the results for the various models have been presented.
Highlights
1.1 Ferromagnetic core coil modelingThe modeling of distinct circuit elements is important due to the need for simulations of real phenomena of electrical engineering in power systems and electronic circuits
In the study—fractional derivatives have been applied. They are a part of the mathematical field of fractional calculus [15,16], which includes definitions of both fractional derivatives and integrals
The investigations of this paper concerned the modeling of a ferromagnetic core coil response, where an emphasis has been put on the reflection of the hysteresis
Summary
The modeling of distinct circuit elements is important due to the need for simulations of real phenomena of electrical engineering in power systems and electronic circuits. An element category, which is challenging when it comes to modeling, comprises of iron-core coils and transformers. This is largely caused by the need to reflect magnetic hystereses, which is especially difficult during transient states or nonsinusoidal responses with a significant contribution of higher harmonics. Often models are built with the B–H relationship in mind, which is applicable in electromagnetic field analyses This paper concerns another category applied in modeling, which is a circuit approach, from which one can reconstruct a ψ-i relationship. This approach is useful when considering an element as a whole (for practical uses), when characteristics of inductive devices (e.g., transformers, fluxgate sensors) are investigated, instead of considering the physical properties of a material [14]. The circuit element approach has an advantage that it can be directly confronted with measurements performed on the modeled element
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