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CreateCoil

Guides

  • Creating Coils

Tech Notes

  • Physics of Creating Simple, Discrete Coils

Symbols

  • DesToErr
  • EllipseCoilPlot3D
  • EllipseCoilPlot
  • EllipseFieldPlot2D
  • EllipseFieldPlot
  • FindEllipseCoil
  • FindLoopCoil
  • FindSaddleCoilAxial
  • FindSaddleCoilAzimuthal
  • FindSaddleCoil
  • HarmonicFieldPlot
  • LoopCoilPlot3D
  • LoopCoilPlot
  • LoopFieldPlot2D
  • LoopFieldPlot
  • SaddleCoilPlot3D
  • SaddleCoilPlot
  • SaddleFieldPlot2D
  • SaddleFieldPlot
NoahH`CreateCoil`
EllipseFieldPlot2D
​
EllipseFieldPlot2D
[{{
χ
c1
,
ψ
c1
},{
χ
c2
,
ψ
c2
},…},{
i
χ1
,
i
χ2
,…},
ρ
c
,{n,m}]
plots each of the
B
x
,
B
y
and
B
z
field components over the
x
z
-plane, generated by the ellipse-based coil with axial separations
χ
c1
,
χ
c2
,
…
, ellipse extents
ψ
c1
,
ψ
c2
,
…
, turn ratios
i
χ1
,
i
χ2
,
…
, radius
ρ
c
and target field harmonic of order
n
and degree
m
.
​
​
EllipseFieldPlot2D
[{Coilχc[1]
χ
c1
,Coilχc[2]
χ
c2
,…,Coilψc[1]
ψ
c1
,Coilψc[2]
ψ
c2
,…},…]
is an alternative way of specifying the axial separations
χc
1
,
χc
2
,
…
and ellipse extents
ψ
c1
,
ψ
c2
,
…
.
​
Details and Options

Examples  
(7)
Basic Examples  
(2)
Plot each of the
B
x
,
B
y
and
B
z
field components over the
x
z
-plane, generated by the ellipse-based coil optimised for the
B
1, 1
(i.e.
n=1
,
m=1
) field harmonic, and with a radius of 0.1 metres:
In[1]:=
EllipseFieldPlot2D
[{{0.46,0.40}},{1},0.1,{1,1}]
Out[1]=

,
,

​
Directly use the output of
FindEllipseCoil
:
In[1]:=
sols=
FindEllipseCoil
[{1,-1},{2,1},{0.1,1.32},{0.1,0.5},"CoilsReturned"3]
Out[1]=
{{Coilχc[1]0.464584,Coilχc[2]0.596781,Coilψc[1]0.282267,Coilψc[2]0.499178,DesToErr3.51843},{Coilχc[1]0.465795,Coilχc[2]0.595184,Coilψc[1]0.283759,Coilψc[2]0.496138,DesToErr3.51223},{Coilχc[1]0.467115,Coilχc[2]0.593459,Coilψc[1]0.285394,Coilψc[2]0.492857,DesToErr3.50568}}
In[2]:=
EllipseFieldPlot2D
[First[sols],{1,-1},0.1,{2,1},ImageSize200]
Out[2]=

,
,

Inspect the center of the field:
In[3]:=
EllipseFieldPlot2D
[First[sols],{1,-1},0.1,{2,1},​​ImageSize200,"ρcPlotPadding"-0.5]
Out[3]=

,
,

Options  
(5)

SeeAlso
FindEllipseCoil
 
▪
EllipseCoilPlot
 
▪
EllipseFieldPlot
 
▪
HarmonicFieldPlot
 
▪
LoopFieldPlot2D
 
▪
SaddleFieldPlot2D

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