Assignment 1
1.1
Calculate the harmonics of a full-wave rectified sine wave whose first
half cycle is described by v(t ) Vm sin Zt . If the load is a 1-: resistor,
determine the average load power as a sum of harmonics powers.
1.2
Find the total harmonic distortion of the square-wave voltage
shown in Fig. 1(b) generated by the inverter of Fig. 1(a).
vs
(a)
V
t
0
vo
t
0
(b)
Fig. 1
1
1.3
Fig. 2 depicts ac-dc conversion based on point-on-wave control (phase
control). If the ac source voltage is 120 V and the load is resistive with
a resistance of 1.2 :, calculate the average power delivered by the
source for a delay angle D
S
2
radians.
vs
S 2
0
3S 2
S
2S
Zt
vo
0
Zt
D
Fig. 2
2
1.4
Fig. 3(a) illustrates an ac-ac converter with point-on-wave control
(phase control). If the ac source is 240 V and the load is resistive with
a resistance of 5.76 :, calculate the average power absorbed by the
load and the source power factor for a delay angle of D
S
6
radians.
(a)
S 2
0
vs
S
3S 2
2S
Zt
vo
0
Zt
D
(b)
Fig. 3
3