WOLFRAM SYSTEMMODELER

Core

Model of core losses

Wolfram Language

In[1]:=
Click for copyable input
SystemModel["Modelica.Electrical.Machines.Losses.InductionMachines.Core"]
Out[1]:=

Information

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

Core losses can be separated into eddy current and hysteresis losses. The total core losses can thus be expressed as

  P = PRef * (ratioHysteresis * (wRef / w) + 1 - ratioHysteresis) * (V / VRef)^2

where w is the actual angular remagnetization velocity and V is the actual voltage. The term ratioHysteresis is the ratio of the hysteresis losses with respect to the total core losses for the reference voltage and frequency.

In the current implementation hysteresis losses are not considered since complex numbers are not provided in Modelica. Therefore, implicitly ratioHysteresis = 0 is set. For the voltage and frequency range with respect to Fig. 1, the dependency of total core losses on the parameter ratioHysteresis is depicted in Fig. 2. The current implementation has thus the drawback over a model that considers ratioHysteresis > 0:

  • underestimation of the losses in the constant field region (w < wRef)
  • overestimation of the losses in the field weakening region (w > wRef)
corelossesVw.png
Fig. 1: Voltage versus angular velocity
corelossesPcw.png
Fig. 2: Core losses versus angular velocity with parameter ratioHysteresis

Note

In the current implementation it is assumed that ratioHysteresis = 0. This parameter cannot be changed due to compatibility reasons.

See also

Core loss parameters

Connectors (2)

heatPort

Type: HeatPort_a

Description: Optional port to which dissipated losses are transported in form of heat

spacePhasor

Type: SpacePhasor

Description:

Parameters (4)

useHeatPort

Value: false

Type: Boolean

Description: =true, if heatPort is enabled

coreParameters

Value:

Type: CoreParameters

Description:

m

Value: coreParameters.m

Type: Integer

Description: Number of phases

turnsRatio

Value:

Type: Real

Description: Effective number of stator turns / effective number of rotor turns (if used as rotor core)

Components (1)

coreParameters

Type: CoreParameters

Description:

Used in Components (6)

AIM_SquirrelCage

Asynchronous induction machine with squirrel cage rotor

AIM_SlipRing

Asynchronous induction machine with slipring rotor

SM_PermanentMagnet

Permanent magnet synchronous induction machine

SM_ElectricalExcited

Electrical excited synchronous induction machine with damper cage

SM_ReluctanceRotor

Synchronous induction machine with reluctance rotor and damper cage

PartialBasicInductionMachine

Partial model for induction machine