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Shark -new motor design concept for energy saving- applied to - VBN

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36<br />

Chapter 2 Linear analysis of the <strong>Shark</strong> switched Reluctance Mo<strong>to</strong>r<br />

If the length, l shk , of the <strong>Shark</strong> profile remains constant then the inductance and the <strong>energy</strong> gains<br />

both increases with the increasing height, h shk , of the profiles.<br />

<strong>energy</strong> gain<br />

10<br />

9<br />

8<br />

7<br />

6<br />

5<br />

4<br />

3<br />

2<br />

h shk /g=15 square profile<br />

h shk /g=1<br />

elliptic profile<br />

trapezoid profile (k=0.3)<br />

saw profile<br />

square profile<br />

elliptic profile<br />

trapezoid profile (k=0.3)<br />

saw profile<br />

1<br />

0 5 10 15 20<br />

l /g<br />

shk<br />

25 30 35 40<br />

Fig.2.22 Illustration of the <strong>energy</strong> gain variation as a function of the length and height of the <strong>Shark</strong> profile<br />

According <strong>to</strong> this linearised analysis the square wave profile exhibits the best magnetic<br />

per<strong>for</strong>mances compared <strong>to</strong> the other shapes of <strong>Shark</strong> teeth analysed. The best per<strong>for</strong>mances of the<br />

square wave profile are obtained <strong>for</strong> large β , which is equivalent <strong>to</strong> a large ratio of the height <strong>to</strong><br />

the length of the profile. This may be seen in Fig.2.19, Fig.2.20, Fig.2.21 and Fig.2.22. This means<br />

that the optimum <strong>Shark</strong> configuration comprises a square wave air gap whose teeth are as high and<br />

narrow as possible. However, when selecting these dimensions there will be some limitations.<br />

The height of the <strong>Shark</strong> teeth is limited as the presence of the <strong>Shark</strong> teeth reduces the available<br />

winding area. In this project, the height h shk of the <strong>Shark</strong> profile was limited <strong>to</strong> about 20 [%] of the<br />

height of the sta<strong>to</strong>r pole. For the SRM, with the dimensions given in Appendix B1, this limit is 4.5<br />

[mm]. The length of the <strong>Shark</strong> <strong>to</strong>oth is limited by the lamination thickness. The shortest square<br />

wave <strong>Shark</strong> <strong>to</strong>oth that could be built has the length lshk = 3 ⋅ llam<br />

, where l lam is the thickness of the<br />

lamination as shown in Fig.2.23.

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