modelEddyCurrent

For modelling of eddy current in a conductive magnetic flux tube

Extends from Interfaces.TwoPort (Interface component including flux balance equation), Modelica.Electrical.Analog.Interfaces.ConditionalHeatPort (Partial model to include a conditional HeatPort in order to describe the power loss via a thermal network).

Information

Eddy currents are induced in a conductive magnetic flux tube when the flux changes with time. This causes a magnetic voltage drop in addition to the voltage drop that is due to the reluctance of this flux tube. The eddy current component can be thought of as a short-circuited secondary winding of a transformer with only one turn. Its resistance is calculated from the geometry and resistivity of the eddy current path.

Partitioning of a solid conductive cylinder or prism into several hollow cylinders or separate nested prisms and modelling of each of these flux tubes connected in parallel with a series connection of a reluctance element and an eddy current component can model the delayed buildup of the magnetic field in the complete flux tube from the outer to the inner sections. Please refer to [Ka08] for an illustration.

Parameters

TypeNameDefaultDescription
BooleanuseHeatPort (from ConditionalHeatPort)false= true, if heatPort is enabled
SI.TemperatureT (from ConditionalHeatPort)293.15Fixed device temperature if useHeatPort = false
BooleanuseConductancefalseUse conductance instead of geometry data and rho
SI.ConductanceG1/0.098e-6Equivalent loss conductance G=A/rho/l
SI.Resistivityrho0.098e-6Resistivity of flux tube material (default: Iron at 20degC)
SI.Lengthl1Average length of eddy current path
SI.AreaA1Cross sectional area of eddy current path
SI.ResistanceRrho*l/AElectrical resistance of eddy current path

Connectors

TypeNameDefaultDescription
FluxTubes.Interfaces.PositiveMagneticPortport_p (from TwoPortElementary)Positive magnetic port
FluxTubes.Interfaces.NegativeMagneticPortport_n (from TwoPortElementary)Negative magnetic port
Modelica.Thermal.HeatTransfer.Interfaces.HeatPort_aheatPort (from ConditionalHeatPort)Conditional heat port

Components

TypeNameDefaultDescription
SI.MagneticPotentialDifferenceV_m (from TwoPortExtended)Magnetic potential difference of ports
SI.MagneticFluxPhi (from TwoPortExtended)Magnetic flux from port_p to port_n
SI.PowerLossPower (from ConditionalHeatPort)Loss power leaving component via heatPort
SI.TemperatureT_heatPort (from ConditionalHeatPort)Temperature of heatPort

Revisions

Version 3.2.2, 2014-01-15 (Christian Kral)
  • Added parameter useConductance including alternative parameterization