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an investigation of dual stator winding induction machines

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The clock diagram <strong>of</strong> the <strong>dual</strong> <strong>stator</strong> <strong>winding</strong> <strong>induction</strong> machine is given in Figure<br />

3.2. The turn <strong>an</strong>d <strong>winding</strong> functions <strong>of</strong> the ABC <strong>winding</strong> set are shown in Figure 3.3 (I)<br />

<strong>an</strong>d Figure 3.3 (II) respectively, where C s1<br />

is the number <strong>of</strong> coils per slot for the ABC<br />

<strong>winding</strong> set <strong>an</strong>d C s1<br />

= N s1<br />

6 . N s1<br />

is the number <strong>of</strong> turns per phase.<br />

For phase A, the self-induct<strong>an</strong>ce is:<br />

2π<br />

1<br />

LAA = µ 0rl<br />

∫ ⋅ nA<br />

A<br />

g<br />

0 0<br />

( θ ) ⋅ N ( θ ) ⋅ dθ<br />

98<br />

(3.37)<br />

Since the turn function <strong>of</strong> phase A is a piecewise linear equation, the integration c<strong>an</strong><br />

only be done in each linear region <strong>an</strong>d the results <strong>of</strong> each linear region are added to<br />

obtain the final result.<br />

Y<br />

Y<br />

− X<br />

− X<br />

− Z<br />

− Z<br />

B<br />

− A<br />

− A<br />

− A<br />

− A<br />

−Y<br />

X B<br />

X B<br />

B<br />

B<br />

−Y<br />

B<br />

Z<br />

− C<br />

Figure 3.2 The clock diagram <strong>of</strong> <strong>dual</strong> <strong>stator</strong> <strong>winding</strong> <strong>induction</strong> machine<br />

Z<br />

− C<br />

− X<br />

− C<br />

− X<br />

− C<br />

− C<br />

Y<br />

− C<br />

Y<br />

A<br />

− Z<br />

A<br />

− Z<br />

Z<br />

− A<br />

− B<br />

Z<br />

Z<br />

− A<br />

C<br />

− B<br />

Z<br />

− B<br />

−Y<br />

C<br />

− B − X<br />

−Y<br />

C<br />

X<br />

C<br />

X<br />

C<br />

− Z<br />

C<br />

− Z<br />

−<br />

B<br />

Y<br />

− B<br />

Y<br />

− X<br />

A<br />

A<br />

A<br />

A<br />

X<br />

X<br />

−Y<br />

− Y

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