WOLFRAM SYSTEM MODELER

EddyCurrent

For modelling of eddy current in a conductive magnetic flux tube

Wolfram Language

In[1]:=
SystemModel["Modelica.Magnetic.QuasiStatic.FluxTubes.Basic.EddyCurrent"]
Out[1]:=

Information

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

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 then determined by the geometry and resistivity of the eddy current path. Alternatively, a total conductance parameter can be used.

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 (8)

useHeatPort

Value: false

Type: Boolean

Description: = true, if heatPort is enabled

T

Value: 273.15

Type: Temperature (K)

Description: Fixed device temperature if useHeatPort = false

useConductance

Value: false

Type: Boolean

Description: Use conductance instead of geometry data and rho

G

Value: 1 / 0.098e-6

Type: Conductance (S)

Description: Equivalent loss conductance G=A/rho/l

rho

Value: 0.098e-6

Type: Resistivity (Ω⋅m)

Description: Resistivity of flux tube material (default: Iron at 20degC)

l

Value: 1

Type: Length (m)

Description: Average length of eddy current path

A

Value: 1

Type: Area (m²)

Description: Cross sectional area of eddy current path

R

Value: rho * l / A

Type: Resistance (Ω)

Description: Electrical resistance of eddy current path

Connectors (3)

port_p

Type: PositiveMagneticPort

Description: Positive quasi-static magnetic port

port_n

Type: NegativeMagneticPort

Description: Negative quasi-static magnetic port

heatPort

Type: HeatPort_a

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

Components (3)

V_m

Type: ComplexMagneticPotentialDifference

Description: Magnetic potential difference of both ports

Phi

Type: ComplexMagneticFlux

Description: Magnetic flux from port_p to port_n

j

Type: Complex

Description: Complex number with overloaded operators

Used in Examples (1)

GeneralLeakage

Modelica.Magnetic.QuasiStatic.FluxTubes.Examples.Leakage

Magnetic circuit with generic leakage mode