Hysteresis losses

Wolfram Language



This information is part of the Modelica Standard Library maintained by the Modelica Association.

Hysteresis power losses

The total power loss (LossPower) of an hysteresis flux tube element is the sum of the power loss due to the static ferromagnetic hysteresis (LossPowerStat) and the power loss due to eddy currents (LossPowerEddy).

The two components LossPowerStat and LossPowerEddy can be calculated as follows.

Where σcl is the classical eddy current factor (see UsersGuide.Hysteresis.DynamicHysteresis) and V the volume of the core material. The equations show that LossPowerStat acts as power sink and power source (magnetic energy storage) whereas LossPowerEddy is always positive (Power sink). By means of an simple example the following figures show the time course of the magnetic flux density, the magnetic field strength and the hysteresis losses. The pulsating course of the power loss (see Fig. 3c) makes it difficult to estimate an average loss. For this reason, the hysteresis flux tube elements are capable of directly computing the moving average of the power losses. Therefore, t_avg of the "LossesAndHeat" tab of the elements parameter dialog may be adjusted to set an adequate time interval (see Fig. 3d).

Fig. 1: Diagram of a simple transformer with ferromagnetic core (model available at Examples.Hysteresis.SinglePhaseTransformerWithHysteresis1)
Fig. 2: Simulated total dynamic hysteresis loop with its static and eddy current fractions
Fig. 3: Simulated outputs of the Core component of Fig. 1