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| Teaching Since: | May 2017 |
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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
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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
![]()
(1)
The current iis related to the voltage v1 = v2 = v through
![]()
or
(2)
Then (1) and (2) give
Vcos2 rot
F = - -----.-
e (kl + k2)ro2
It is seen that F. is apparently independent of x, a result which arises from having ignored the leakage
flux.
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