By Richard T. Smith (Auth.)
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The other wave actually degrades the performance of the machine by producing an oscillatory torque. Stability of operation of this simple machine is also quite an interesting development. Consider first the case of dc current in winding s and no current in winding r. Then T =- L llsin20. e 2 When 0 = 0 there is no torque. However, if the rotor is displaced slightly from this position, a torque is developed which tends to restore the rotor to position 0 = 0 . In other words, 0 = 0 is a stable equilibrium position of the rotor.
Calculate the terminal voltages e. 23. 2. Examine the average torque for negative steady speeds, 0 = — cot + 8. 24. 2. Find the torque T , including effects of L . 25. 3. Verify (6). 26. 4. 27. The salient pole rotor machine shown has only 3 windings—a and b stationary and in space quadrature, and / on the rotor. Winding / is shorted as shown. L is the self-inductance of / and M is the e ff 4 Introduction 55 maximum mutual inductance between a and / , and b and / . The rotor position is given by 0 = co(l — s)t + 8, where s and S are constants, t is in seconds, and co is a constant in radians per second.
16) are the equations we need to solve many problems involving the commutator machine. 1 Consider a dc machine with one set of brushes, in the g-axis, and only one other winding — / . Then the above equations reduce to, assuming steady state operation (all d/dt 's = 0, except pa = v — constant) (i) pfd (2) = ffd fd x L l +,= (3) fd= (4) e - ri + $ v. q (5) d The electrical power supplied to the machine is tfifd + q( e ~ 1 q) = ' fd + ( ~ Wfd l H q + V)( " * q) (*) The first two terms on the RHS of (7) are resistance losses.
Analysis of Electrical Machines by Richard T. Smith (Auth.)