Hollow Cylinder Radial Flux
Hollow cylinder with radial flux; constant permeability
Description
Equations
Variables
Connections
Parameters
Modelica Standard Library
The Hollow Cylinder Radial Flux Reluctance Force (or Hollow Cylinder Radial Flux) component models the generation of a reluctance force from a flux tube consisting of a hollow cylinder with radial flux flow.
Aavg=ℓ⁢π⁢ro+ri
Bavg=ΦAavg
Fm=12⁢Vm2⁢dGmdx
Gm=2⁢π⁢μ0⁢μr⁢ℓlog⁡rori
Rm=1Gm
Φ=Φp=−Φn
Vm=Vmp−Vmn=Rm⁢Φ
dGmdx=2⁢π⁢μ0⁢μrlog⁡rori⁢dℓdx
fflange=−Fm
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
Fm
N
Reluctance force
F_m
s
m
Distance between flange and support
Rm
H−1
Magnetic reluctance
R_m
Gm
H
Magnetic permeance
G_m
dGmdx
Hm
Derivative of permeance with respect to armature position
dGmBydx
ℓ
Axial length (orthogonal to direction of flux)
l
Bavg
T
Average flux density (at arithmetic mean radius)
B_avg
portp
Positive magnetic port
port_p
portn
Negative magnetic port
port_n
flange
Generated reluctance force at armature position
support
Conditional Support Flange
Default
μr
1
Relative magnetic permeability
mu_r
dℓdx
Derivative of flux tube's varying dimension with respect to armature position; set to +1 or -1
dl/dx
ri
0.01
Inner radius of hollow cylinder
r_i
ro
0.015
Outer radius of hollow cylinder
r_o
Use Support
false
True (checked) enables the support flange
useSupport
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 Force
Magnetic Library
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