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A 3 phase half wave fully controlled converter is connected to a 220v line supply.the load current is constant at 30A and independent of firing angle.the thyristor have a forward voltage drop of 1.2v,determine the mean load voltage at firing angle of 45°,current rating of the thyristor,peak reverse voltage rating of the thyristor and average peak dissipation in each thyristor?
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A 3 phase half wave fully controlled converter is connected to a 220v ...
Mean Load Voltage Calculation
To determine the mean load voltage (\( V_{avg} \)) for a 3-phase half-wave fully controlled converter at a firing angle (\( \alpha \)) of 45°, we can use the formula:
\[
V_{avg} = \frac{3 \sqrt{3}}{\pi} V_{L} \cos(\alpha) - V_{F}
\]
Where:
- \( V_{L} = 220V \) (line voltage)
- \( V_{F} = 1.2V \) (voltage drop across thyristor)
- \( \alpha = 45° \)
Calculating \( V_{avg} \):
\[
V_{avg} = \frac{3 \sqrt{3}}{\pi} \times 220 \times \cos(45°) - 1.2
\]
\[
V_{avg} = \frac{3 \sqrt{3}}{\pi} \times 220 \times \frac{1}{\sqrt{2}} - 1.2 \approx 113.32V
\]
Current Rating of the Thyristor
- The load current is given as 30A.
- Thus, the current rating of each thyristor should be at least 30A, considering a safety margin of 25-30%.
Peak Reverse Voltage Rating of the Thyristor
- The peak reverse voltage (\( V_{R} \)) for a 3-phase thyristor is calculated as:
\[
V_{R} = \sqrt{3} \times V_{L}
\]
\[
V_{R} = \sqrt{3} \times 220 \approx 381V
\]
Average Peak Dissipation in Each Thyristor
- Average power dissipation (\( P_{avg} \)) in each thyristor can be calculated as:
\[
P_{avg} = I_{load} \times V_{F} = 30A \times 1.2V = 36W
\]
In summary:
- Mean Load Voltage: \( 113.32V \)
- Thyristor Current Rating: \( \approx 30A \)
- Peak Reverse Voltage Rating: \( \approx 381V \)
- Average Peak Dissipation: \( 36W \) per thyristor.
To determine the mean load voltage (\( V_{avg} \)) for a 3-phase half-wave fully controlled converter at a firing angle (\( \alpha \)) of 45°, we can use the formula:
\[
V_{avg} = \frac{3 \sqrt{3}}{\pi} V_{L} \cos(\alpha) - V_{F}
\]
Where:
- \( V_{L} = 220V \) (line voltage)
- \( V_{F} = 1.2V \) (voltage drop across thyristor)
- \( \alpha = 45° \)
Calculating \( V_{avg} \):
\[
V_{avg} = \frac{3 \sqrt{3}}{\pi} \times 220 \times \cos(45°) - 1.2
\]
\[
V_{avg} = \frac{3 \sqrt{3}}{\pi} \times 220 \times \frac{1}{\sqrt{2}} - 1.2 \approx 113.32V
\]
Current Rating of the Thyristor
- The load current is given as 30A.
- Thus, the current rating of each thyristor should be at least 30A, considering a safety margin of 25-30%.
Peak Reverse Voltage Rating of the Thyristor
- The peak reverse voltage (\( V_{R} \)) for a 3-phase thyristor is calculated as:
\[
V_{R} = \sqrt{3} \times V_{L}
\]
\[
V_{R} = \sqrt{3} \times 220 \approx 381V
\]
Average Peak Dissipation in Each Thyristor
- Average power dissipation (\( P_{avg} \)) in each thyristor can be calculated as:
\[
P_{avg} = I_{load} \times V_{F} = 30A \times 1.2V = 36W
\]
In summary:
- Mean Load Voltage: \( 113.32V \)
- Thyristor Current Rating: \( \approx 30A \)
- Peak Reverse Voltage Rating: \( \approx 381V \)
- Average Peak Dissipation: \( 36W \) per thyristor.
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A 3 phase half wave fully controlled converter is connected to a 220v line supply.the load current is constant at 30A and independent of firing angle.the thyristor have a forward voltage drop of 1.2v,determine the mean load voltage at firing angle of 45°,current rating of the thyristor,peak reverse voltage rating of the thyristor and average peak dissipation in each thyristor?
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A 3 phase half wave fully controlled converter is connected to a 220v line supply.the load current is constant at 30A and independent of firing angle.the thyristor have a forward voltage drop of 1.2v,determine the mean load voltage at firing angle of 45°,current rating of the thyristor,peak reverse voltage rating of the thyristor and average peak dissipation in each thyristor? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A 3 phase half wave fully controlled converter is connected to a 220v line supply.the load current is constant at 30A and independent of firing angle.the thyristor have a forward voltage drop of 1.2v,determine the mean load voltage at firing angle of 45°,current rating of the thyristor,peak reverse voltage rating of the thyristor and average peak dissipation in each thyristor? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 3 phase half wave fully controlled converter is connected to a 220v line supply.the load current is constant at 30A and independent of firing angle.the thyristor have a forward voltage drop of 1.2v,determine the mean load voltage at firing angle of 45°,current rating of the thyristor,peak reverse voltage rating of the thyristor and average peak dissipation in each thyristor?.
A 3 phase half wave fully controlled converter is connected to a 220v line supply.the load current is constant at 30A and independent of firing angle.the thyristor have a forward voltage drop of 1.2v,determine the mean load voltage at firing angle of 45°,current rating of the thyristor,peak reverse voltage rating of the thyristor and average peak dissipation in each thyristor? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A 3 phase half wave fully controlled converter is connected to a 220v line supply.the load current is constant at 30A and independent of firing angle.the thyristor have a forward voltage drop of 1.2v,determine the mean load voltage at firing angle of 45°,current rating of the thyristor,peak reverse voltage rating of the thyristor and average peak dissipation in each thyristor? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 3 phase half wave fully controlled converter is connected to a 220v line supply.the load current is constant at 30A and independent of firing angle.the thyristor have a forward voltage drop of 1.2v,determine the mean load voltage at firing angle of 45°,current rating of the thyristor,peak reverse voltage rating of the thyristor and average peak dissipation in each thyristor?.
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