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Community-contributed installable additions to the Wolfram Language
NoahH`CreateCoil`
FindSaddleCoil  |
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Details and Options
Examples
(18)
Basic Examples
(2)
Optimise a pair of arc groups to generate the (i.e. , ) field harmonic, with a normalised separation between 0.01 and 3, and with one azimuthal extent per saddle:
B
1, 1
n=1
m=1
In[1]:=
 | FindSaddleCoil |
Out[1]=
AxialSeparations{{Coilχc[1]2.,DesToErr542.649}},AzimuthalExtents{{Coilϕc[1]1.0472},{Coilϕc[1]2.0944}}
An of axial separations and azimuthal extents has been returned, given that the optimisation of separations and extents is orthogonal.
Optimise four pairs of arc groups, of turn ratios 1, -1, 1 and -1, to generate the (i.e. , ) field harmonic, with normalised separations between 0.1 and 2.56 and two azimuthal extents per saddle.
B
2, 1
n=2
m=1
First, we can use to examine the Cartesian components of the desired field along the -, - and -axes:
x
y
z
In[1]:=
| HarmonicFieldPlot |
Out[1]=
,
,
Now find coils which aim to generate this field:
In[2]:=
sols=
[{1,-1,1,-1},{2,1},2,{0.1,2.56}]
 | FindSaddleCoil |
Out[2]=
AxialSeparations{{Coilχc[1]0.2995,Coilχc[2]0.417035,Coilχc[3]0.654955,Coilχc[4]2.5558,DesToErr13.2438},{Coilχc[1]0.299514,Coilχc[2]0.417045,Coilχc[3]0.654995,Coilχc[4]2.54896,DesToErr13.2418},{Coilχc[1]0.299538,Coilχc[2]0.417063,Coilχc[3]0.655069,Coilχc[4]2.53669,DesToErr13.2381},{Coilχc[1]0.299551,Coilχc[2]0.417072,Coilχc[3]0.655106,Coilχc[4]2.5307,DesToErr13.2361},{Coilχc[1]0.299573,Coilχc[2]0.417088,Coilχc[3]0.655173,Coilχc[4]2.52024,DesToErr13.2325},{Coilχc[1]0.299573,Coilχc[2]0.417088,Coilχc[3]0.655174,Coilχc[4]2.52007,DesToErr13.2325},{Coilχc[1]0.299589,Coilχc[2]0.4171,Coilχc[3]0.655223,Coilχc[4]2.51282,DesToErr13.2299},{Coilχc[1]0.299595,Coilχc[2]0.417104,Coilχc[3]0.655239,Coilχc[4]2.51045,DesToErr13.229},{Coilχc[1]0.299609,Coilχc[2]0.417115,Coilχc[3]0.655283,Coilχc[4]2.50396,DesToErr13.2265},{Coilχc[1]0.299623,Coilχc[2]0.417124,Coilχc[3]0.655324,Coilχc[4]2.49811,DesToErr13.2242}},AzimuthalExtents{{Coilϕc[1]0.733038,Coilϕc[2]1.36136},{Coilϕc[1]0.10472,Coilϕc[2]1.15192}}
In[3]:=
| SaddleFieldPlot |
Out[3]=
,
,
In[4]:=
| SaddleFieldPlot2D |
Out[4]=
,
,
In[5]:=
| SaddleCoilPlot |
Out[5]=
Contents cannot be rendered at this time; please try again later or download this notebook for full functionality »
In[6]:=
| SaddleCoilPlot3D |
Out[6]=
