Modelica.Magnetic.FluxTubes.Basic

Basic elements of magnetic network models

Information

Extends from Modelica.Icons.Package (Icon for standard packages).

Package Content

NameDescription
Modelica.Magnetic.FluxTubes.Basic.Ground Ground Zero magnetic potential
Modelica.Magnetic.FluxTubes.Basic.ElectroMagneticConverter ElectroMagneticConverter Electro-magnetic energy conversion
Modelica.Magnetic.FluxTubes.Basic.ConstantReluctance ConstantReluctance Constant reluctance
Modelica.Magnetic.FluxTubes.Basic.LeakageWithCoefficient LeakageWithCoefficient Leakage reluctance with respect to the reluctance of a useful flux path (not for dynamic simulation of actuators)
Modelica.Magnetic.FluxTubes.Basic.EddyCurrent EddyCurrent For modelling of eddy current in a conductive magnetic flux tube

Modelica.Magnetic.FluxTubes.Basic.Ground Modelica.Magnetic.FluxTubes.Basic.Ground

Zero magnetic potential

Information


The magnetic potential at the magnetic ground node is zero. Every magnetic network model must contain at least one magnetic ground object.

Connectors

NameDescription
port 

Modelica.Magnetic.FluxTubes.Basic.ElectroMagneticConverter Modelica.Magnetic.FluxTubes.Basic.ElectroMagneticConverter

Electro-magnetic energy conversion

Information


The electro-magnetic energy conversion is given by Ampere's law and Faraday's law respectively:

    V_m = i * N
    N * dΦ/dt = -v

V_m is the magnetomotive force that is supplied to the connected magnetic circuit, Φ is the magnetic flux through the associated branch of this magnetic circuit. The negative sign of the induced voltage v is due to Lenz's law.

The flux linkage Ψ and the static inductance L_stat = |Ψ/i| are calculated for information only. Note that L_stat is set to |Ψ/eps| if |i| < eps (= 100*Modelica.Constants.eps).

Parameters

NameDescription
NNumber of turns

Connectors

NameDescription
port_pPositive magnetic port
port_nNegative magnetic port
pPositive electric pin
nNegative electric pin

Modelica.Magnetic.FluxTubes.Basic.ConstantReluctance Modelica.Magnetic.FluxTubes.Basic.ConstantReluctance

Constant reluctance

Information


This constant reluctance is provided for test purposes and simple magnetic network models. The reluctance is not calculated from geometry and permeability of a flux tube, but is provided as a parameter.

Extends from Modelica.Magnetic.FluxTubes.Interfaces.PartialTwoPorts (Partial component with magnetic potential difference between two magnetic ports p and n and magnetic flux Phi from p to n).

Parameters

NameDescription
R_mMagnetic reluctance [H-1]
Initialization
PhiMagnetic flux from port_p to port_n [Wb]

Connectors

NameDescription
port_pPositive magnetic port
port_nNegative magnetic port

Modelica.Magnetic.FluxTubes.Basic.LeakageWithCoefficient Modelica.Magnetic.FluxTubes.Basic.LeakageWithCoefficient

Leakage reluctance with respect to the reluctance of a useful flux path (not for dynamic simulation of actuators)

Information


Differently from the flux tube elements of package Shapes.Leakage that are calculated from their geometry, this leakage reluctance is calculated with reference to the total reluctance of a useful flux path. Please refer to the Parameters section for an illustration of the resulting magnetic network. Exploiting Kirchhoff's generalized current law, the leakage reluctance is calculated by means of a coupling coefficient c_usefulFlux.

Attention:

This element must not be used for dynamic simulation of electro-magneto-mechanical actuators, where the shape of at least one flux tube element with reluctance force generation in the useful flux path changes with armature motion (e.g., air gap). This change results in a non-zero derivative dG_m/dx of those elements permeance G_m with respect to armature position x, which in turn will lead to a non-zero derivative of the leakage permeance with respect to armature position. This would generate a reluctance force in the leakage element that is not accounted for properly. Shapes.Force.LeakageAroundPoles provides a simple leakage reluctance with force generation.

Extends from Modelica.Magnetic.FluxTubes.Interfaces.PartialLeakage (Base class for leakage flux tubes with position-independent permeance and hence no force generation; mu_r=1).

Parameters

NameDescription
c_usefulFluxRatio useful flux/(leakage flux + useful flux) = useful flux/total flux [1]
Initialization
PhiMagnetic flux from port_p to port_n [Wb]
Reference reluctance
R_mUsefulTotTotal reluctance of useful flux path as reference [H-1]

Connectors

NameDescription
port_pPositive magnetic port
port_nNegative magnetic port

Modelica.Magnetic.FluxTubes.Basic.EddyCurrent Modelica.Magnetic.FluxTubes.Basic.EddyCurrent

For modelling of eddy current in a conductive magnetic flux tube

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.

Extends from Modelica.Magnetic.FluxTubes.Interfaces.PartialTwoPorts (Partial component with magnetic potential difference between two magnetic ports p and n and magnetic flux Phi from p to n), Modelica.Electrical.Analog.Interfaces.ConditionalHeatPort (Partial model to include a conditional HeatPort in order to describe the power loss via a thermal network).

Parameters

NameDescription
useHeatPort=true, if HeatPort is enabled
TFixed device temperature if useHeatPort = false [K]
rhoResistivity of flux tube material (default: Iron at 20degC) [Ohm.m]
lAverage length of eddy current path [m]
ACross sectional area of eddy current path [m2]
Initialization
PhiMagnetic flux from port_p to port_n [Wb]

Connectors

NameDescription
port_pPositive magnetic port
port_nNegative magnetic port
heatPort 

Automatically generated Mon Sep 23 17:20:37 2013.