3.20 For the three-phase half-wave fully controlled rectifier shown in Fig.3.67, the load consists of a resistance and a very large inductance. The inductance is so large that the output current i, can be assumed to be continuous and ripple-free. For triggering angle α = 30°. a Three-phase b supply io Fig.3.67. C no (a) Draw the waveforms of v, and io. (b) Prove that the d.c. power delivered to the load is given by: Pac = 0.684 Vm R cos²α R (c) Determine the mean value of the output voltage, current and d.c. power if phase voltage is Van = 220 V (rms), a = 30° and R = 50 ohms. [Ans: (c) 121.6 V, 6.08 A, 740 W]

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3.20 For the three-phase half-wave fully controlled rectifier shown in Fig.3.67,
the load consists of a resistance and a very large inductance. The
inductance is so large that the output current i, can be assumed to be
continuous and ripple-free. For triggering angle α = 30°.
a
Three-phase b
supply
io
Fig.3.67.
C
no
(a) Draw the waveforms of v, and io.
(b) Prove that the d.c. power delivered to the load is given by:
Pac = 0.684
Vm
R
cos²α
R
(c) Determine the mean value of the output voltage, current and d.c.
power if phase voltage is Van = 220 V (rms), a = 30° and R = 50
ohms.
[Ans: (c) 121.6 V, 6.08 A, 740 W]
Transcribed Image Text:3.20 For the three-phase half-wave fully controlled rectifier shown in Fig.3.67, the load consists of a resistance and a very large inductance. The inductance is so large that the output current i, can be assumed to be continuous and ripple-free. For triggering angle α = 30°. a Three-phase b supply io Fig.3.67. C no (a) Draw the waveforms of v, and io. (b) Prove that the d.c. power delivered to the load is given by: Pac = 0.684 Vm R cos²α R (c) Determine the mean value of the output voltage, current and d.c. power if phase voltage is Van = 220 V (rms), a = 30° and R = 50 ohms. [Ans: (c) 121.6 V, 6.08 A, 740 W]
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