Parameter Identification and Application Guide of a Computational Efficient Control-Oriented Ferromagnetic Transformer Core Model

Atherton (JA) model, are physically motivated and well-established but often exhibit numerical instability and high computational demand. This limits their applicability in large-scale simulation studies or real-time applications. The proposed control-oriented model captures the nonlinear magnetic effects, saturation, hysteresis, and eddy current losses, while maintaining a numerically robust and computationally lightweight structure. The key contribution is a structured and automated parameter identification procedure that combines standardised transformer measurements with numerical optimisation. Winding resistance, unsaturated inductance, eddy current losses, and leakage inductance are identified using established test methods, while saturation and hysteresis parameters are optimized using DC hysteresis measurements. Additionally, a computerapplication allowing the user to experience the effect of parameter changes on the current or the hysteresis shape, is presented. The validation results demonstrate that the model accurately reproduces distorted current waveforms, including higher‑order harmonics and inrush phenomena, thereby confirming its suitability for transient simulation use cases.