Electromechanical Dynamics (Part 1).0046

Electromechanical Dynamics (Part 1).0046 - except that Lm =...

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Circuit Theory directed radially outward and consider 0 < 0 < 7r, H, - N il - N 2 2 for 0 < < 0, Nzi 1 ± Nzi, H r = N i N 2 , for 0 < < 7, 2g Nji, - N 2 i H r = - 2g , for n < <7r +O, Nji, + N2i H,= - N 2 i for 7r + 0 < < 2 r. The flux linkages with the two windings can be found from the integrals , = fNIoH,.R do, A2 = N2Po HrlR do. Evaluation of these integrals yields I1 = Lli 1 + Lmi 2 , A, = Lmi 1 + Lzi 2 , where L, = N 1 2 Lo, L 2 = N 2 2 Lo, Lm = LN,N 2 ( I--2), for 0< < T, iPolRp L 2g Similar arguments show that for -rT < < 0 the terminal relations have the same form
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Unformatted text preview: except that Lm = LoNiN 2 I + -Note that only the mutual inductance Lm is a function of angular displacement 0 because the geometry seen by each coil individually does not change with 0; thus the self-inductances are constants. The mutual inductance is sketched as a function of 0 in Fig. 2.1.4.-L o N 1 N 2 Fig. 2.1.4 Mutual inductance Lm as a function of 0. A-PDF Split DEMO : Purchase from www.A-PDF.com to remove the watermark...
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This note was uploaded on 02/10/2012 for the course MECE 4371 taught by Professor Liu during the Fall '11 term at University of Houston.

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