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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

Description

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.

Equations

{TheatPort=T;¬useHeatPort

{dHyst=0,k=1100initialdHyst=dHstatμ0+hystRdt,k=max1100,hystFBdiffHystascdHyst=dHstatμ0+hystFdt,k=max1100,BhystRdiffHystotherwise

H=Vml

H=Hstat+Heddy

H2=HlimHcmat

H3=HlimHcmat

Hlim&equals;{HsatmatHstat<HsatmatHsatmatHsatmat<HstatHstatotherwise

Heddy&equals;{eddyCurrentFactordBdtincludeEddyCurrents0otherwise

P2&equals;Mmatrmat2πarctanqmatH2&plus;1&plus;2Mmat1rmat1&plus;12expp1matH2&plus;12expp2matH2

P3&equals;Mmatrmat2πarctanqmatH3&plus;1&plus;2Mmat1rmat1&plus;12expp1matH3&plus;12expp2matH3

Φ&equals;BA&equals;Φp&equals;Φn

Vm&equals;VmpVmn

asc&equals;0<dHstatdt

hystF&equals;Js&plus;unitTP1P3&plus;P2P4&plus;μ0Hstat&plus;12eps

hystR&equals;Js&plus;unitTP1P2P3P4&plus;μ0Hstat12eps

LossPower&equals;LossPowerStat&plus;LossPowerEddy

LossPowerEddy&equals;HeddydBdtV

LossPowerStat&equals;HstatdBdtV

diffHyst&equals;hystFhystR

dBdt&equals;kdHyst&plus;μ0dHstatdt

dMagReldt&equals;0

Variables

Name

Units

Description

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

LossPower

TheatPort

K

Temperature of HeatPort

T_heatPort

H

Am

Magnetic field strength

H

Hstat

Am

Static (ferromagnetic) portion of the magnetic field strength

Hstat

Heddy

Am

Dynamic (eddy currents) portion of the magnetic field strength

Heddy

B

T

Magnetic flux density

B

MagRel

1

Relative magnetization at initialization (-1..1)

MagRel

LossPowerStat

W

Ferromagnetic (static) hysteresis losses

LossPowerStat

LossPowerEddy

W

Eddy current losses (dynamic hysteresis losses)

LossPowerEddy

derHstat

Ams

 

derH_stat

asc

 

True when derHstat&gt;0

asc

Connections

Name

Description

Modelica ID

portp

Positive magnetic port

port_p

portn

Negative magnetic port

port_n

heatPort

Conditional heat port

heatPort

Parameters

Material

Name

Default

Units

Description

Modelica ID

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

Name

Default

Units

Description

Modelica ID

110

m

Length in direction of flux

l

A

1·10−4

m2

Area of cross section

A

Losses And Heat Parameters

Name

Default

Units

Description

Modelica ID

Use Heat Port

false

 

True (checked) enables heat port

useHeatPort

Include Eddy Currents

false

 

True (checked) enables eddy current losses

includeEddyCurrents

σ

matσ

Sm

Conductivity of core material

sigma

d

5.·10−4

m

Thickness of lamination

d

Constant Parameters

Name

Default

Units

Description

Modelica ID

V

A

m3

Volume of FluxTube

V

T

293.15

K

Fixed device temperature if useHeatPort = false

T

Constants

Name

Value

Units

Description

Modelica ID

unitT

1

T

 

unitT

Modelica Standard Library

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