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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
3.7.                           A two-winding system has its inductances given by
Â
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where k1 and k2 are constants. Neglecting the winding resistances, derive an expression for the electrical force (as a function of x) when both windings are connected to the same voltage  source,
V = V,n Sin rot.
Because L11  = L22  and L12  = L21,we havei1  = i2  = i.  Hence the stored magnetic  energy is
Wm =        L11i  +      L2ii + L1i1i2 = (L11 + L12)i 2
and the electrical force is
Â
![]()
(1)
Â
The current iis related  to the voltage v1  = v2  = v through
Â
Â
Â
Â
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or
Â
Â
(2)
Â
Â
Then (1) and (2) give
Â
Â
Vcos2Â Â rot
FÂ Â = Â - Â -----.-
e                  (kl  + k2)ro2
Â
It is seen that F. is apparently independent of x, a result which arises from having ignored the  leakage
flux.
Â
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