By Richard T. Smith (Auth.)
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Sample text
The stator (rotor) coils are 77/2 radians apart in their magnetic axes. The windings are actually distributed (not shown) to assure that the following inductance expressions apply quite accurately: Ka M af M bf o = bb = L L = L Kg = MsinO L = Mcos 0 ff = - Mcos0 M bg gg M =0=M fg ab — Msin0. Let us assume the following operating conditions: i — I ]fl cos cot (a balanced 2 phase set of currents) i = ijl sin co/ a a b i — I {l cos [(to — v)t + 0\ f f (a balanced 2 phase set (1) (2) (3) of currents) i = - l {l in[(co -v)t g f + 6] s 8 — vt — 8 (rotor speed constant at v).
5 (for the 2-winding case) in terms of the first equivalent circuit parameters, and turns ratio. 17. A transformer has three windings on the same core. Load impedance 3 + j4 is on winding 3; |/ | = 10; e, = 10/0°; /, = 3 0 / 3 0 ° ; #, = 100, and N =500. Find the phasor voltage and current of each winding. r 2 ? 18. For a certain electromagnet, the relation among current, plunger position, and flux linkages has been experimentally found to be where a, b, and d are positive constants. Derive an expression for the force applied to the plunger by the electrical system.
X 2 Introduction 49 40010 300- 3 4 7 v. 8. 08 ohms. 9. A two-winding transformer is connected as shown. Verify the equivalent circuit connections, and solve for the input-output voltage and current relationships for an "ideal" transformer. 10. = ^ * 2 2 \ > e, + 2 £ ^ out — ~ 5 1 1 o u t Two "ideal" transformers, of turns ratios N /N and N /N , are connected as shown. Find the current / (a) when switch a is open; (b) when switch a is closed. The 10 ohms is entirely reactive. N —100, x 2 3 4 } # 2 =300,^3=200,^4=50.