NoahH/CreateCoil | Paclet Repository

NoahH`CreateCoil`

FindLoopCoil

FindLoopCoil [{ i χ1 , i χ2 ,…},n,{ χ cmin , χ cmax }]
	returns, for loop pairs of turn ratios i χ1 , i χ2 , … , axial separations between χ c min and χ c max optimised to generate the field harmonic of order n .

Details and Options



Examples

(14)

Basic Examples

(3)

Optimise a Helmholtz pair to generate the

n=1

field harmonic, with a normalised separation between 0.01 and 1:

In[1]:=

FindLoopCoil

[{1},1,{0.01,1}]

Out[1]=

Optimise an anti-Helmholtz pair (also known as a Maxwell coil) to generate the

n=2

field harmonic, with a normalised separation between 0.01 and 1:

In[1]:=

FindLoopCoil

[{1},2,{0.01,1}]

Out[1]=

Optimise three loop pairs, of turn ratios 1, -2 and 2, to generate the

2, 0

(i.e.

n=2

) field harmonic, with normalised separations between 0.1 and

First, we can use

HarmonicFieldPlot

to examine the Cartesian components of the desired field along the

- and

-axes:

In[1]:=

HarmonicFieldPlot

[{2,0},ImageSizeSmall]

Out[1]=





Now find coils which aim to generate this field:

In[2]:=

sols=

FindLoopCoil

{1,-2,2},2,0.1,

2

Out[2]=

{{Coilχc[1]0.554372,Coilχc[2]0.674766,Coilχc[3]0.866025,DesToErr34.5198},{Coilχc[1]0.5531,Coilχc[2]0.673608,Coilχc[3]0.865142,DesToErr33.5852},{Coilχc[1]0.552599,Coilχc[2]0.673065,Coilχc[3]0.864629,DesToErr33.2277},{Coilχc[1]0.551441,Coilχc[2]0.671812,Coilχc[3]0.863445,DesToErr32.4277},{Coilχc[1]0.549406,Coilχc[2]0.669616,Coilχc[3]0.861379,DesToErr31.1048},{Coilχc[1]0.549032,Coilχc[2]0.669214,Coilχc[3]0.861001,DesToErr30.8729},{Coilχc[1]0.547837,Coilχc[2]0.66793,Coilχc[3]0.859797,DesToErr30.1515},{Coilχc[1]0.546613,Coilχc[2]0.666618,Coilχc[3]0.858569,DesToErr29.4437},{Coilχc[1]0.545779,Coilχc[2]0.665726,Coilχc[3]0.857737,DesToErr28.9793},{Coilχc[1]0.543812,Coilχc[2]0.663628,Coilχc[3]0.855782,DesToErr27.9345}}

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