Hollow Cylinder Axial Flux Reluctance Force - MapleSim Help

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Hollow Cylinder Axial Flux Reluctance Force

Description

The Hollow Cylinder Axial Flux Reluctance Force component models the generation of a reluctance force from a flux tube consisting of a hollow cylinder with axial flux flow.  The equations are

Vm=ΦRm

Φp+Φn=0

Φ Φp

Rm=1Gm

Gm=μ0μrAl

A= πro2ri2

f=Fm

Fm=12Vm2ⅆGmⅆx

ⅆGmⅆx=μrμ0Al2ⅆldx

B=ΦA

s=l

s=flangessupports

-

Connections

Name

Description

Color

portp

Positive magnetic port

Solid orange

portn

Negative magnetic port

Open orange

flange

Armature connection

Open green

support

Conditional Support Flange

Solid green

Variables

Symbol

Units

Description

Modelica ID

Vm

A

Magnetic potential across component        

V_m

Vmx

A

Magnetic potential at portx, x p,n

port_x.V_m

Φx

Wb

Magnetic flux into portx, x p,n

port_x.Phi

Φ

Wb

Magnetic flux through component

Phi

Rm

H1

Magnetic reluctance

Rm

Gm

H

Magnetic permeance

Gm

B

Wb

Magnetic flux density

B

A

m2

Cross-sectional area

A        

f

N

force on flange

flange.f

Fm

N

Reluctance force

F_m

l

m

Axial length, in direction of flux

l    

s

m

Position of flange

s

Parameters

Symbol

Default

Units

Description

Modelica ID

μr

1

-

Relative magnetic permeability        

mu_r

ro

0.01

m

Outer radius of hollow cylinder cross-section    

r_o

ri

0

m

Inner radius of hollow cylinder cross-section

r_i

dldx

+1

integer

Derivative of flux tube's varying dimension with respect to the armature position. Set to +1 or -1.

dlBydx

useSupport

false

boolean

Enables conditional support flange

support

Initial Conditions

Symbol

Units

Description

Modelica ID

Vm0

A

Magnetic potential across component        

V_m

Φ0

Wb

Magnetic flux through component

Phi

Rm0

H1

Magnetic reluctance

Rm

Gm0

H

Magnetic permeance

Gm

dGmdxy|x0

Hm

Initial change of permeance with length

dGmBydx

B0

Wb

Magnetic flux density

B

Fm0

N

Initial reluctance force

F_m

l0

m

Initial length of air gap

l

s0

m

Initial position of flange

s

See Also

Reluctance Force Flux Tubes

Magnetic Library Overview

The components described in this topic are from the Modelica Standard Library. To view the original documentation, which includes author and copyright information, click here.

 

 

 

 

 


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