Tellinen Hard
Generic flux tube with hard magnetic hysteresis based on the Tellinen model and simple tanh functions
Description
Equations
Variables
Connections
Parameters
Modelica Standard Library
The Tellinen Hard component is a flux tube element with fixed length and cross-sectional area for modeling the ferromagnetic (static) hysteresis of hard magnetic materials. The ferromagnetic hysteresis behavior is defined by the Tellinen hysteresis model. The shape of the limiting hysteresis loop is described by simple hyperbolic tangent functions with four parameters.
Φ=Φp=−Φn=B⁢A
Vm=Vmp−Vmn
H=Vmℓ=Hstat+Heddy
Heddy={σ⁢d212⁢dBdtInclude eddy currents0otherwise
H0=12⁢log⁡1+μ0⁢HcBr1−μ0⁢HcBr+M⁢Hc
hystF=Js⁢tanh⁡Hstat⁢M+H0Hunit+μ0⁢Hstat+12⁢eps
hystR=Js⁢tanh⁡Hstat⁢M−H0Hunit+μ0⁢Hstat−12⁢eps
{dHyst=0,k=1100initialdHyst=ddt−Hstat⁢μ0+hystR,k=max⁡1100,hystF−BΔhyst0<dHstatdtdHyst=ddt−Hstat⁢μ0+hystF,k=max⁡1100,B−hystRΔhystotherwise
LossPower=LossPowerstat+LossPowereddy
LossPowereddy=Heddy⁢dBdt⁢V
LossPowerstat=Hstat⁢dBdt⁢V
Δhyst=hystF−hystR
dBdt=k⁢dHyst+μ0⁢dHstatdt
dMagReldt=0
Thp={TheatPortUse Heat PortTotherwise
Name
Units
Modelica ID
B
T
Magnetic flux density
dHyst
Ts
Slope of the limiting hysteresis branch
H
Am
Magnetic field strength
Heddy
Dynamic (eddy currents) portion of the magnetic field strength
Hstat
Static (ferromagnetic) portion of the magnetic field strength
LossPower
W
Loss power leaving component via HeatPort
LossPowereddy
Eddy current losses (dynamic hysteresis losses)
LossPowerEddy
LossPowerstat
Ferromagnetic (static) hysteresis losses
LossPowerStat
MagRel
1
Relative magnetization at initialization (-1..1)
Φ
Wb
Magnetic flux from port_p to port_n
Phi
TheatPort
K
Temperature of HeatPort
T_heatPort
Vm
A
Magnetic potential difference between both ports
V_m
portp
Positive magnetic port
port_p
portn
Negative magnetic port
port_n
heatPort
Conditional heat port
Hystersis
Default
Br
1.2
Remanence
Hc
5·105
Coercitivity
μ0 multiplier
M
10⁢HunitHc
Slope of tanh function
Fixed Geometry
ℓ
0.1
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
1·107
Sm
Conductivity of core material
sigma
d
5·10−4
Thickness of lamination
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
Download Help Document