MICROLEECTRONIC E BOOKS
MICROLEECTRONIC E BOOKS
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ISBN: 9780190853532
Author: SEDRA
Publisher: OXF
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Chapter 5, Problem 5.66P

(a)

To determine

To derive- An expression for per unit change in

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Derive, for both star- and delta-connected systems, an expression for the total power input for a balanced three-phase load in terms of line voltage, line current and power factor. The star-connected secondary of a transformer supplies a delta-connected motor taking a power of 90 kW at a lagging power factor of 0.9. If the volt age between lines is 600 V, calculate the current in the transformer winding and in the motor winding. Draw circuit and phasor diagrams, properly labelled, showing all voltages and currents in the transformer secondary and the motor. ANS:  . 96.2 A, 55.6 A
Deduce the relationship between the phase and the line voltages of a three-phase star-connected generator. If the phase voltage of a three-phase star-connected generator is 200 V, what will be the line voltages: (a) when the phases are correctly connected; (b) when the connections to one of the phases are reversed?  ans:  346 V; 346 V, 200 V, 200 V
Q2: Given a discrete sequence x(n) = [1,-1,2,4, 1, 3,-1,1] and its spectrum X(k): i. Show that: X(k) =G(k)+WH(k) k=0,1,2,3,4,5,6,7 where G(k) = DFT[g(n)] and H(k) = DFT[h(n)], g(n) and h(n) are even and odd components of x(n) respectively. ii. Compute G(k) and H(k) using the method of computation of DFTS of two real sequences. (15 marks)
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