Tellinen Everett Flux Tube
Generic flux tube with ferromagnetic hysteresis based on the Tellinen model and the Everett function
Description
Equations
Variables
Connections
Parameters
Constants
Modelica Standard Library
The Tellinen Everett component is a flux tube of fixed length and cross-sectional area that models ferromagnetic hysteresis based on the Tellinen model and the Everett function. The hysteresis curve is static and is determined by the parameters of the Everett function used by the magnetic material.
The Hysteresis Material parameter specifies a record of parameter values, it should be the instance name of a magnetic material from the palette Magnetic > Material > Hysteresis > Parameter Based. See Magnetic Material with Parameter-based Hysteresis.
The Use default material boolean parameter, when true, sets the Hysteresis Material parameter to hysteresisParameterMaterial1, which corresponds to the default name assigned to a record of the appropriate class. To use a different name, uncheck the box and enter the name for the parameter that appears.
{TheatPort=T;¬useHeatPort
{dHyst=0,k=1100initial⁡dHyst=d⁡−Hstat⁢μ0+hystRdt,k=max⁡1100,hystF−BdiffHystascdHyst=d⁡−Hstat⁢μ0+hystFdt,k=max⁡1100,B−hystRdiffHystotherwise
H=Vml
H=Hstat+Heddy
H2=Hlim−Hc⁡mat
H3=−Hlim−Hc⁡mat
Hlim={−Hsat⁡matHstat<−Hsat⁡matHsat⁡matHsat⁡mat<HstatHstatotherwise
Heddy={eddyCurrentFactor⁢dBdtincludeEddyCurrents0otherwise
P2=Mmat⁢rmat⁢2π⁢arctan⁡qmat⁢H2+1+2⁢Mmat⁢1−rmat1+12⁢exp⁡−p1mat⁢H2+12⁢exp⁡−p2mat⁢H2
P3=Mmat⁢rmat⁢2π⁢arctan⁡qmat⁢H3+1+2⁢Mmat⁢1−rmat1+12⁢exp⁡−p1mat⁢H3+12⁢exp⁡−p2mat⁢H3
Φ=B⁢A=Φp=−Φn
Vm=Vmp−Vmn
asc=0<dHstatdt
hystF=Js+unitT⁢−P1⁢P3+P2⁢P4+μ0⁢Hstat+12⁢eps
hystR=−Js+unitT⁢P1⁢P2−P3⁢P4+μ0⁢Hstat−12⁢eps
LossPower=LossPowerStat+LossPowerEddy
LossPowerEddy=Heddy⁢dBdt⁢V
LossPowerStat=Hstat⁢dBdt⁢V
diffHyst=hystF−hystR
dBdt=k⁢dHyst+μ0⁢dHstatdt
dMagReldt=0
Name
Units
Modelica ID
Vm
A
Magnetic potential difference between both ports
V_m
Φ
Wb
Magnetic flux from port_p to port_n
Phi
LossPower
W
Loss power leaving component via HeatPort
TheatPort
K
Temperature of HeatPort
T_heatPort
H
Am
Magnetic field strength
Hstat
Static (ferromagnetic) portion of the magnetic field strength
Heddy
Dynamic (eddy currents) portion of the magnetic field strength
B
T
Magnetic flux density
MagRel
1
Relative magnetization at initialization (-1..1)
LossPowerStat
Ferromagnetic (static) hysteresis losses
LossPowerEddy
Eddy current losses (dynamic hysteresis losses)
derHstat
Am⁢s
derH_stat
asc
True when derHstat>0
portp
Positive magnetic port
port_p
portn
Negative magnetic port
port_n
heatPort
Conditional heat port
Material
Default
Hysteresis Material
[1]
Parameter-based hysteresis material
mat
Use default material
true
True (checked) uses hysteresisParameterMaterial1 as the name for the material parameter
useDefaultMaterial
[1] hysteresisTableMaterial1
Fixed Geometry
ℓ
110
m
Length in direction of flux
l
1·10−4
m2
Area of cross section
Losses And Heat Parameters
Use Heat Port
false
True (checked) enables heat port
useHeatPort
Include Eddy Currents
True (checked) enables eddy current losses
includeEddyCurrents
σ
mat⋅σ
Sm
Conductivity of core material
sigma
d
5.·10−4
Thickness of lamination
Constant Parameters
V
A⁢ℓ
m3
Volume of FluxTube
293.15
Fixed device temperature if useHeatPort = false
Value
unitT
The component described in this topic is from the Modelica Standard Library. To view the original documentation, which includes author and copyright information, click here.
See Also
Magnetic Hysteresis
Magnetic Library
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