Hollow Cylinder Circumferential Flux - MapleSim Help
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Hollow Cylinder Circumferential Flux

Hollow cylinder with circumferential flux; fixed shape; linear or non-linear material characteristics

 

Description

Equations

Variables

Connections

Parameters

Modelica Standard Library

Description

The Hollow Cylinder Circumferential Flux component models a flux tube consisting of a hollow cylinder with circumferential flux flow.

If the boolean parameter Nonlinear Permeability is true, the component uses a material parameter to specify the Soft Magnetic Material. A record of that class, with the appropriate name, must exist in the model, either at the same or higher level.

The Use default material boolean parameter, when true, sets the name of the material parameter to SoftMaterial1, 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 in the parameter that appears.

Equations

A=lrori

B=ΦA

Gm=μ0μrAro+ri2α

H=Bμ0μr

Rm=1Gm

Φ=Φp=Φn

Vm=VmpVmn=RmΦ

μr={μrapproxB,materialNonlinear Permeabilityμrconstotherwise

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

Rm

H−1

Magnetic reluctance

R_m

Gm

H

Magnetic permeance

G_m

B

T

Magnetic flux density

B

A

m2

Cross-sectional area penetrated by magnetic flux

A

H

Am

Magnetic field strength

H

μr

1

Relative magnetic permeability

mu_r

Connections

Name

Description

Modelica ID

portp

Positive magnetic port

port_p

portn

Negative magnetic port

port_n

Parameters

Name

Default

Units

Description

Modelica ID

0.02

m

Width (orthogonal to flux direction)

l

ri

0.01

m

Inner radius of hollow cylinder

r_i

ro

0.02

m

Outer radius of hollow cylinder

r_o

α

π2

rad

Angle of cylinder section

alpha

Nonlinear Permeability

true

 

True (checked) means μr is non-linear, otherwise it is constant

nonLinearPermeability

Use default material

true

 

True (checked) uses softMaterial1 as the name for the material parameter

useDefaultMaterial

μr,const

1

1

Constant relative permeability; used if Nonlinear Permeability is false

mu_rConst

material

 

 

Soft Magnetic Material; used if Nonlinear Permeability is true

material

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 Fixed Shapes

Magnetic Library

Soft Magnetic Material