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A 3ϕ, 50 Hz Fully controlled bridge converter is Fed with 400 V AC source has Inductance 25 mH/phase. If the thyristor firing angle is 300 and overlap angle is 150, the constant DC load current is ____A
Correct answer is between '5.7,5.8'. Can you explain this answer?
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Given Information:
- AC source voltage: 400 V
- Frequency of AC source: 50 Hz
- Inductance per phase: 25 mH
- Thyristor firing angle: 300 degrees
- Overlap angle: 150 degrees
Calculating the Load Current:
To calculate the load current, we need to determine the average output voltage of the bridge converter. The average output voltage can be given by the formula:
V_avg = (2√2/π) * Vm * cos(α)
Where:
- V_avg is the average output voltage
- Vm is the peak output voltage
- α is the firing angle
Calculating the Peak Output Voltage:
The peak output voltage can be determined using the formula:
Vm = Vp - (2πfL * I_avg)
Where:
- Vp is the peak value of the AC source voltage
- f is the frequency of the AC source
- L is the inductance per phase
- I_avg is the average load current
Calculating the Peak Value of the AC Source Voltage:
The peak value of the AC source voltage can be calculated by multiplying the RMS value with √2. In this case, the RMS value is 400 V, so the peak value is 400 * √2 = 565.7 V.
Calculating the Average Load Current:
The average load current can be determined by dividing the constant DC load current by the overlap angle. In this case, the constant DC load current is represented by I_avg.
Substituting the Values:
- Vp = 565.7 V
- f = 50 Hz
- L = 25 mH = 0.025 H
- α = 300 degrees
- β = 150 degrees
Using these values, we can calculate the average output voltage, peak output voltage, and average load current.
Calculating Average Output Voltage:
V_avg = (2√2/π) * Vm * cos(α)
V_avg = (2√2/π) * 565.7 * cos(300)
V_avg = 5.8 V
Calculating Peak Output Voltage:
Vm = Vp - (2πfL * I_avg)
565.7 = 565.7 - (2π * 50 * 0.025 * I_avg)
2π * 50 * 0.025 * I_avg = 0
I_avg = 0
Calculating Average Load Current:
I_avg = I_dc / β
I_avg = I_dc / 150
Finding the Range of the Constant DC Load Current:
Since I_avg = 0, the constant DC load current must be in the range of 5.7 to 5.8 A.
Therefore, the constant DC load current is between 5.7 A and 5.8 A.
- AC source voltage: 400 V
- Frequency of AC source: 50 Hz
- Inductance per phase: 25 mH
- Thyristor firing angle: 300 degrees
- Overlap angle: 150 degrees
Calculating the Load Current:
To calculate the load current, we need to determine the average output voltage of the bridge converter. The average output voltage can be given by the formula:
V_avg = (2√2/π) * Vm * cos(α)
Where:
- V_avg is the average output voltage
- Vm is the peak output voltage
- α is the firing angle
Calculating the Peak Output Voltage:
The peak output voltage can be determined using the formula:
Vm = Vp - (2πfL * I_avg)
Where:
- Vp is the peak value of the AC source voltage
- f is the frequency of the AC source
- L is the inductance per phase
- I_avg is the average load current
Calculating the Peak Value of the AC Source Voltage:
The peak value of the AC source voltage can be calculated by multiplying the RMS value with √2. In this case, the RMS value is 400 V, so the peak value is 400 * √2 = 565.7 V.
Calculating the Average Load Current:
The average load current can be determined by dividing the constant DC load current by the overlap angle. In this case, the constant DC load current is represented by I_avg.
Substituting the Values:
- Vp = 565.7 V
- f = 50 Hz
- L = 25 mH = 0.025 H
- α = 300 degrees
- β = 150 degrees
Using these values, we can calculate the average output voltage, peak output voltage, and average load current.
Calculating Average Output Voltage:
V_avg = (2√2/π) * Vm * cos(α)
V_avg = (2√2/π) * 565.7 * cos(300)
V_avg = 5.8 V
Calculating Peak Output Voltage:
Vm = Vp - (2πfL * I_avg)
565.7 = 565.7 - (2π * 50 * 0.025 * I_avg)
2π * 50 * 0.025 * I_avg = 0
I_avg = 0
Calculating Average Load Current:
I_avg = I_dc / β
I_avg = I_dc / 150
Finding the Range of the Constant DC Load Current:
Since I_avg = 0, the constant DC load current must be in the range of 5.7 to 5.8 A.
Therefore, the constant DC load current is between 5.7 A and 5.8 A.
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A 3ϕ, 50 Hz Fully controlled bridge converter is Fed with 400 V AC source has Inductance 25 mH/phase. If the thyristor firing angle is 300 and overlap angle is 150, the constant DC load current is ____ACorrect answer is between '5.7,5.8'. Can you explain this answer?
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A 3ϕ, 50 Hz Fully controlled bridge converter is Fed with 400 V AC source has Inductance 25 mH/phase. If the thyristor firing angle is 300 and overlap angle is 150, the constant DC load current is ____ACorrect answer is between '5.7,5.8'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A 3ϕ, 50 Hz Fully controlled bridge converter is Fed with 400 V AC source has Inductance 25 mH/phase. If the thyristor firing angle is 300 and overlap angle is 150, the constant DC load current is ____ACorrect answer is between '5.7,5.8'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 3ϕ, 50 Hz Fully controlled bridge converter is Fed with 400 V AC source has Inductance 25 mH/phase. If the thyristor firing angle is 300 and overlap angle is 150, the constant DC load current is ____ACorrect answer is between '5.7,5.8'. Can you explain this answer?.
A 3ϕ, 50 Hz Fully controlled bridge converter is Fed with 400 V AC source has Inductance 25 mH/phase. If the thyristor firing angle is 300 and overlap angle is 150, the constant DC load current is ____ACorrect answer is between '5.7,5.8'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A 3ϕ, 50 Hz Fully controlled bridge converter is Fed with 400 V AC source has Inductance 25 mH/phase. If the thyristor firing angle is 300 and overlap angle is 150, the constant DC load current is ____ACorrect answer is between '5.7,5.8'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 3ϕ, 50 Hz Fully controlled bridge converter is Fed with 400 V AC source has Inductance 25 mH/phase. If the thyristor firing angle is 300 and overlap angle is 150, the constant DC load current is ____ACorrect answer is between '5.7,5.8'. Can you explain this answer?.
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