Fractional derivatives for the core losses prediction: State of the art and beyond

B Ducharne, G Sebald - Journal of Magnetism and Magnetic Materials, 2022 - Elsevier
The core losses prediction in laminated magnetic circuits has generated relentless scientific
research efforts. In this domain, the almost forty years old Statistical Theory of Losses (STL) …

On the relay coupling of three fractional-order oscillators with time-delay consideration: Global and cluster synchronizations

R Kengne, R Tchitnga, S Mabekou, BRW Tekam… - Chaos, Solitons & …, 2018 - Elsevier
The relay coupling of three fractional-order two-stage oscillators in the presence of time
delay has been explored theoretically, numerically and analogically. The global stabilization …

Analytical prediction model of energy losses in soft magnetic materials over broadband frequency range

R Liu, L Li - IEEE Transactions on Power Electronics, 2020 - ieeexplore.ieee.org
Accurately and efficiently estimating the energy losses in electrical steels over a large
frequency bandwidth, particularly in the high-frequency regimes, is of great significance for …

Dynamic magnetic scalar hysteresis lump model based on Jiles–Atherton quasi-static hysteresis model extended with dynamic fractional derivative contribution

B Zhang, B Gupta, B Ducharne… - IEEE Transactions …, 2018 - ieeexplore.ieee.org
Accurate and simple magnetic material law is necessary to correctly model the complete
electromagnetic systems. In this paper, a new formulation based on the scalar quasi-static …

Induction heating-based low-frequency alternating magnetic field: High potential of ferromagnetic composites for medical applications

Z ** and excited by a non-ideal motor
MV Varanis, AM Tusset, JM Balthazar, G Litak… - Journal of the Franklin …, 2020 - Elsevier
This paper deals with a non-ideal system with memory by possessing a fractional dam**
term. The system is characterized by additional cubic nonlinearity. Based on the time series …

Preisach's model extended with dynamic fractional derivation contribution

B Zhang, B Gupta, B Ducharne… - IEEE Transactions …, 2017 - ieeexplore.ieee.org
Accurate and simple magnetic material behavior law is necessary to correctly model
complete electromagnetic systems. In this paper, a new formulation based on the scalar …