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A three-phase half-wave controlled converter is fed from a 3-phase, 400 V source and is connected to a load which takes a constant current of 36 A. Find,the value of average output voltage and average current rating of SCR for a firing angle of 30°.
- a)234 V, 36 A
- b)234 V, 12 A
- c)135 V, 36 A
- d)135 V, 12 A
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
A three-phase half-wave controlled converter is fed from a 3-phase, 40...
Vo = (3√3/2π) x Vmp x cosα = 233.874 V.
Ia = Io/3 = 12 A.
Ia = Io/3 = 12 A.
Most Upvoted Answer
A three-phase half-wave controlled converter is fed from a 3-phase, 40...
Degrees.
Solution:
Given, Vm = 400 V (peak value of input voltage)
IL = 36 A (load current)
α = 30 degrees (firing angle)
The average output voltage of the half-wave controlled converter is given by:
Vo(avg) = (2/π) * Vm * cos(α)
Vo(avg) = (2/π) * 400 * cos(30)
Vo(avg) = 231.13 V
Therefore, the average output voltage of the converter is 231.13 V.
The average current rating of the SCR can be calculated using the formula:
IL(avg) = Io(avg) / √3
where Io(avg) is the average output current of the converter.
The average output current of the half-wave controlled converter can be calculated as follows:
Io(avg) = (2/π) * IL * (1 + cos(α))
Io(avg) = (2/π) * 36 * (1 + cos(30))
Io(avg) = 41.72 A
Therefore, the average current rating of the SCR is:
IL(avg) = 41.72 / √3
IL(avg) = 24.08 A
Therefore, the average current rating of the SCR for a firing angle of 30 degrees is 24.08 A.
Solution:
Given, Vm = 400 V (peak value of input voltage)
IL = 36 A (load current)
α = 30 degrees (firing angle)
The average output voltage of the half-wave controlled converter is given by:
Vo(avg) = (2/π) * Vm * cos(α)
Vo(avg) = (2/π) * 400 * cos(30)
Vo(avg) = 231.13 V
Therefore, the average output voltage of the converter is 231.13 V.
The average current rating of the SCR can be calculated using the formula:
IL(avg) = Io(avg) / √3
where Io(avg) is the average output current of the converter.
The average output current of the half-wave controlled converter can be calculated as follows:
Io(avg) = (2/π) * IL * (1 + cos(α))
Io(avg) = (2/π) * 36 * (1 + cos(30))
Io(avg) = 41.72 A
Therefore, the average current rating of the SCR is:
IL(avg) = 41.72 / √3
IL(avg) = 24.08 A
Therefore, the average current rating of the SCR for a firing angle of 30 degrees is 24.08 A.
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A three-phase half-wave controlled converter is fed from a 3-phase, 400 V source and is connected to a load which takes a constant current of 36 A. Find,the value of average output voltage and average current rating of SCR for a firing angle of 30°.a)234 V, 36 Ab)234 V, 12 Ac)135 V, 36 Ad)135 V, 12 ACorrect answer is option 'B'. Can you explain this answer?
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