Electric machine

1. An electric machine, comprising:

a first carrier having electromagnetic elements;

a second carrier having electromagnetic elements defining magnetic poles, the second carrier being arranged to move relative to the first carrier

an airgap between the first carrier and the second carrier;

the electromagnetic elements of the first carrier including a plurality of electric conductor layers, the electric conductor layers being formed of anodized aluminum conductors having corner gaps, the corner gaps being coated with a coating;

the electromagnetic elements of the first carrier include posts, with slots between the posts, one or more of the electric conductor layers arranged through each slot, the posts of the first carrier having a post height in mm;

the first carrier and the second carrier together define a size of the electric machine;

the magnetic poles have a pole pitch S in mm; and

the size of the electric machine, pole pitch and post height are selected to fall within a region in a space defined by size, pole pitch and post height, the region being defined by either

1) a first union of:

a) a first surface defined by a first set of inequalities for a first size of electric machine;

b) a second surface defined by a second set of inequalities for a second size of electric machine; and

c) a set defined as containing all points lying on line segments having a first end point on the first surface and a second end point on the second surface;

the first set of inequalities and the second set of inequalities being respectively sets of inequalities A and B, or B and C, or C and D, in which the set of inequalities A is for a size of 25 mm, the set of inequalities B is for a size of 50 mm, the set of inequalities C is for a size of 100 mm, the set of inequalities D is for a size of 200 mm; or

2) a second union of a surface as defined by set of inequalities D and a corresponding set of all points with size greater than the surface but with pole pitch and post height corresponding to points within the surface;

where

A is selected from the group of sets of inequalities consisting of:

Set A1:

Post Height>

−1.070*S + 2.002 

for

0.572 < S < 1.189

 1.175*S + −0.667

for

1.189 < S < 2.269

13.502*S − 28.637

for

2.269 < S < 2.500

Post Height<

−5.898*S + 19.863

for

1.970 < S < 2.500

0.229*S + 7.794

for

1.349 < S < 1.970

7.607*S − 2.160

for

0.723 < S < 1.349

11.430*S − 4.924 

for

0.572 < S < 0.723

Set A2:

Post Height>

−1.340*S + 2.305 

for

0.619 < S < 1.120

1.100*S − 0.429

for

1.120 < S < 2.074

3.830*S − 6.082

for

2.074 < S < 2.269

Post Height<

−69.510*S + 160.318

for

2.222 < S < 2.269

−3.430*S + 13.492

for

1.667 < S < 2.222

2.830*S + 3.056

for

1.133 < S < 1.667

8.650*S − 3.545

for

0.619 < S < 1.133

Set A3:

Post Height>

−4.160*S + 5.032 

for

0.723 < S < 0.967

0.839*S + 0.198

for

0.967 < S < 1.692

2.713*S − 2.973

for

1.692 < S < 1.939

Post Height<

−53.233*S + 105.506

for

1.879 < S < 1.939

−1.406*S + 8.122 

for

1.465 < S < 1.879

3.898*S + 0.353

for

1.035 < S < 1.465

7.535*S − 3.412

for

0.723 < S < 1.035

B is selected from the group of sets of inequalities consisting of:

Set B1:

Post Height>

0.254*S + 0.462

for

0.319 < S < 3.667

 2.665*S + −8.380

for

3.667 < S < 5.000

Post Height<

−18.282*S + 96.357 

for

4.500 < S < 5.000

−4.663*S + 35.071

for

2.738 < S < 4.500

 2.585*S + 15.227

for

1.447 < S < 2.738

16.013*S − 4.204 

for

0.319 < S < 1.447

Set B2:

Post Height>

0.269*S + 0.456

for

0.380 < S < 3.016

3.051*S − 7.936

for

3.016 < S < 4.167

Post Height<

−14.766*S + 66.309 

for

3.667 < S < 4.167

−3.952*S + 26.654

for

2.315 < S < 3.667

 3.108*S + 10.310

for

1.278 < S < 2.315

14.542*S − 4.303 

for

0.389 < S < 1.278

88.444*S − 33.051

for

0.380 < S < 0.389

Set B3:

Post Height>

0.191*S + 0.626

for

0.472 < S < 2.181

2.135*S − 3.613

for

2.181 < S < 3.095

 53.475*S − 162.511

for

3.095 < S < 3.175

Post Height<

−5.095*S + 23.450

for

2.222 < S < 3.175

 0.805*S + 10.339

for

1.381 < S < 2.222

10.251*S − 2.706 

for

0.572 < S < 1.381

24.420*S − 10.810

for

0.472 < S < 0.572

C is selected from the group of sets of inequalities consisting of:

Set C1:

Post Height>

0.322*S + 0.359

for

0.233 < S < 6.667

 2.202*S − 12.179

for

6.667 < S < 8.333

Post Height<

−25.555*S + 219.122

for

7.778 < S < 8.333

−5.585*S + 63.794

for

4.000 < S < 7.778

 3.214*S + 28.600

for

1.793 < S < 4.000

21.749*S − 4.633 

for

0.233 < S < 1.793

Set C2:

Post Height>

0.277*S + 0.593

for

0.250 < S < 5.182

 2.342*S − 10.111

for

5.182 < S < 7.222

Post Height<

−13.149*S + 101.763

for

6.111 < S < 7.222

−4.885*S + 51.265

for

3.333 < S < 6.111

 4.291*S + 20.680

for

1.520 < S < 3.333

20.788*S − 4.395 

for

0.251 < S < 1.520

161.000*S − 39.588 

for

0.250 < S < 0.251

Set C3:

Post Height>

0.277*S + 0.591

for

0.278 < S < 4.425

1.916*S − 6.663

for

4.425 < S < 6.111

Post Height<

−21.337*S + 135.438

for

5.556 < S < 6.111

−4.985*S + 44.588

for

3.175 < S < 5.556

 2.749*S + 20.031

for

1.560 < S < 3.175

18.321*S − 4.260 

for

0.278 < S < 1.560

and

D is selected from the group of sets of inequalities consisting of:

Set D1:

Post Height>

0.257*S + 0.327

for

0.208 < S < 7.778

 1.977*S − 13.044

for

7.778 < S < 9.444

Post Height<

−36.195 *S + 347.445  

for

8.889 < S < 9.444

−5.777 *S + 77.062  

for

4.833 < S < 8.889

 1.950 *S + 39.718

for

2.222 < S < 4.833

20.301 *S + −1.058

for

0.389 < S < 2.222

34.481 *S + −6.574

for

0.208 < S < 0.389

Set D2:

Post Height>

0.322 *S + 0.359

for

0.233 < S < 6.667

    2.202 *S + −12.179

for

6.667 < S < 8.333

Post Height<

−25.555 *S + 219.122

for

7.778 < S < 8.333

−5.585 *S + 63.794

for

4.000 < S < 7.778

 3.214 *S + 28.600

for

1.793 < S < 4.000

  21.749*S + −4.633

for

0.233 < S < 1.793

Set D3:

Post Height >

0.212 *S + 0.600 

for

0.264 < S < 4.833

 3.017 *S + −12.960

for

4.833 < S < 6.667

Post Height<

−12.356 *S + 89.531 

for

5.556 < S < 6.667

−4.551 *S + 46.170 

for

3.175 < S < 5.556

3.850 *S + 19.496

for

1.502 < S < 3.175

19.751 *S + −4.387 

for

0.264 < S < 1.502.

2. The electric machine of claim 1 in which the coating comprises a dielectric coating.

3. The electric machine of claim 2 in which the coating comprises a polymeric coating.

4. The electric machine of claim 3 in which the coating comprises a varnish.

5. The electric machine of claim 4 in which each electric conductor layer further comprises a pair of contact tabs.

6. The electric machine of claim 5 in which the pair of contact tabs comprise aluminum.

7. The electric machine of claim 1 in which the anodized aluminum conductors also have one or more surfaces and the surfaces are also coated with the coating.

8. The electric machine of claim 1 in which the electric machine comprises an axial flux machine, radial flux machine or transverse flux machine.