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an investigation of dual stator winding induction machines

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∫ H ⋅ dl = ∫ J ⋅ ds = N ⋅ I<br />

(3.8)<br />

O<br />

S<br />

where, O is a closed boundary <strong>of</strong> area S , N is the number <strong>of</strong> conductors carrying<br />

current I .<br />

Definition 3.4:<br />

The Magneto-Motive Force (MMF) <strong>of</strong> <strong>an</strong>y closed path C is defined as:<br />

F = ∫ J ⋅ ds = N ⋅ I<br />

(3.9)<br />

c<br />

S<br />

where, S , N <strong>an</strong>d I are as defined in definition 3.3.<br />

Definition 3.5:<br />

The magnetic flux passing through the area S is defined as:<br />

φ s = ∫ B ⋅ ds<br />

(3.10)<br />

S<br />

If there are N coincident conductors bounding the area S , the linkage flux c<strong>an</strong> be<br />

expressed as:<br />

ψ s = N ⋅∫<br />

B ⋅ ds<br />

(3.11)<br />

S<br />

Definition 3.6: Faraday's Law<br />

Faraday's law is very import<strong>an</strong>t since it gives a way to underst<strong>an</strong>d <strong>an</strong>d explain the<br />

links between magnetic field <strong>an</strong>d electric field. It c<strong>an</strong> be expressed as:<br />

d dψ<br />

∫ E ⋅ dl = − B ⋅ ds = −<br />

dt ∫<br />

(3.12)<br />

dt<br />

O<br />

S<br />

89

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