Calculation of no load losses in an induction motor using an inverse vector Preisach model and an eddy current loss model

Abstract

This paper deals with the direct inclusion of vector hysteresis and eddy current losses in a 2D finite element (FE) time stepping analysis. It is shown that a vector Preisach model can be inverted in an efficient way by means of the Newton-Raphson method and that it thus can easily be included in the Newton-Raphson iterations of the FE equations. The eddy current losses are accounted for by considering an additional conductivity matrix in the FE equations. The method is applied to the no load simulation of an induction motor. The calculation results are discussed and compared to measurements.

On the Modeling of Magnetic Hysteresis in Electrical Machines

“…The integration limits that must be used in the integrals of Eqs. (14) and (15) are also shown in this table.…”

“…Most researchers working with hysteresis models tackle the inversion of the Preisach model with an iterative method such as [15]. Field H is the solution to the non-lineal equation B.H; H pas / D B, where H pas is the field history so far calculated.…”

Dynamical Models for Eddy Current in Ferromagnetic Cores Introduced in an FE-Tuned Magnetic Equivalent Circuit of an Electromagnetic Relay

“…The first model comes from the magnetic-field diffusion (3) reduced to a 1-D formulation [5], [7], [8] (3)…”

“…The second model arises out of the first one. A simple method to homogenize the magnetic diffusion equation along the study domain is developed in several works [6], [7]. This homogenization allows obtaining a simple (4) associating the output and input of the searched magnetic component (4) where is the averaged flux density over the cross section of the sheet, is the excitation field on the surface of the sheet, is the magnetization field associated with calculated from the static material law (the relation between and is provided by Jiles-Atherton's static hysteretic model).…”

Experimental setup for the measurement of induction motor cage currents

“…This phenomenon is emphasized under synchronous noload conditions, giving rise to unexpected rotor Joule losses (additional losses). The knowledge of these losses is essential, mainly under electronically controlled supply, for a correct estimation of iron losses and definitely for a reliable prediction of the energetic behavior of the machine under different operating conditions [1,2]. The evaluation of the rotor additional losses can be obtained by numerical electromagnetic field solutions [3], but an experimental verification is welcome.…”