Modeling of Hysteresis Losses in Ferromagnetic Laminations Under Mechanical Stress

Abstract

A novel approach for predicting magnetic hysteresis loops and losses in ferromagnetic laminations under mechanical stress is presented. The model is based on combining a Helmholtz free energy -based anhysteretic magnetoelastic constitutive law to a vector Jiles-Atherton hysteresis model. This paper focuses only on unidirectional and parallel magnetic fields and stresses, albeit the model is developed in full 3-D configuration in order to account also for strains perpendicular to the loading direction. The model parameters are fitted to magnetization curve measurements under compressive and tensile stresses. Both the hysteresis loops and losses are modeled accurately for stresses ranging from -50 to 80 MPa.

Influence of magnetic forces and magnetostriction on the vibration behavior of an induction motor

“…In order to couple the magnetic and elastic properties of the material, the constitutive equations are formulated from a Helmholtz free energy density ψ [6][7][8][9]. For an isotropic magneto-elastic material, ψ is expressed as a function of five scalar invariants, which depend on the magnetic flux density vector B and total strain tensor ε:…”

“…This method has been studied and further developed in various researches. For example, in [7], this model is extended to include magnetic hysteresis, and in [8,9], the coupling in electrical steel sheets under biaxial and multiaxial stress is presented using the same model.…”

Magnetomechanical Model for Hysteresis in Electrical Steel Sheet

“…Another additional term, proportional to the magnetization whose coefficient tends to zero for the tensile stress, was added to the effective field. Nevertheless, measurements in NO Fe-Si single steel sheets under alternative flux density and coaxial applied stress from -35 MPa until 100 MPa demonstrates two phenomena [3], [20]. First is a slight improvement in the permeability at small tensile stresses and the second is the local bowing of the BH loop for high compressive stress and low value of the magnetization [1].…”

“…This phenomenological model is popularly known as the Jiles-Atherton (JA) model. The JA model for magnetic hysteresis is simple and popular amongst the research community [9], [18]- [20]. Mechanical phenomena such as magnetostriction can be correlated to the magnetic phenomena using the JA model in order to study the effect of stress on the magnetic behavior of a magnetic material [21]- [23].…”

Dynamic Modeling of a Serial Link Robot Laminated with Plastic Film

“…Over the past few decades, several researchers have studied models of laminated structures. In magnetics, modeling of hysteresis losses [26][27][28], eddy current losses [29,30], and temperature effects [31] for magnetic laminations have been proposed under some conditions. Depending on those conditions, a 1-D model [32], a 2-D finite-element model [33], and a 3-D finite-element model [34] have been selected to analyze the laminated structure performance.…”