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A three-phase M-3 converter is operated from a 3-phase, 230 V, 50 Hz supply with load resistance R = 10 Ω. Find the value of firing angle if an average output voltage of 50% of the maximum possible output voltage is required.Hint: α > 30°.
- a)92.7°
- b)67.7°
- c)45°
- d)75.7°
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A three-phase M-3 converter is operated from a 3-phase, 230 V, 50 Hz s...
We need , Vo = 0.5 Vom.
α>30° hence we use the equation Vo = (3√3/2π) x Vmp x [1+cos(30+α)] √3Vmp = Vml = √2×230
Therefore, Vo = (3/2π) x √3 Vml x [1+cos(30+α)] = 0.5Vom
(1/√3) x [1+cos(30+α)] = Vo x 2π/3Vml = Vo/Vom = 1/2
α = 67.7°.
α>30° hence we use the equation Vo = (3√3/2π) x Vmp x [1+cos(30+α)] √3Vmp = Vml = √2×230
Therefore, Vo = (3/2π) x √3 Vml x [1+cos(30+α)] = 0.5Vom
(1/√3) x [1+cos(30+α)] = Vo x 2π/3Vml = Vo/Vom = 1/2
α = 67.7°.
Most Upvoted Answer
A three-phase M-3 converter is operated from a 3-phase, 230 V, 50 Hz s...
The average output voltage of a three-phase M-3 converter can be expressed as:
Vavg = (3/π) * Vm * cos(α/2)
where Vm is the maximum possible output voltage and α is the firing angle.
Since we want Vavg to be 50% of Vm, we can write:
Vavg = 0.5 * Vm
Substituting this into the previous equation, we get:
0.5 * Vm = (3/π) * Vm * cos(α/2)
Simplifying and solving for cos(α/2), we get:
cos(α/2) = 0.5 * π/3
cos(α/2) = 0.433
Taking the inverse cosine, we get:
α/2 = 1.13 radians
Multiplying by 2, we get:
α = 2.26 radians
Finally, converting to degrees, we get:
α = 129.4 degrees
Therefore, the firing angle required to achieve an average output voltage of 50% of the maximum possible output voltage is 129.4 degrees.
Vavg = (3/π) * Vm * cos(α/2)
where Vm is the maximum possible output voltage and α is the firing angle.
Since we want Vavg to be 50% of Vm, we can write:
Vavg = 0.5 * Vm
Substituting this into the previous equation, we get:
0.5 * Vm = (3/π) * Vm * cos(α/2)
Simplifying and solving for cos(α/2), we get:
cos(α/2) = 0.5 * π/3
cos(α/2) = 0.433
Taking the inverse cosine, we get:
α/2 = 1.13 radians
Multiplying by 2, we get:
α = 2.26 radians
Finally, converting to degrees, we get:
α = 129.4 degrees
Therefore, the firing angle required to achieve an average output voltage of 50% of the maximum possible output voltage is 129.4 degrees.
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A three-phase M-3 converter is operated from a 3-phase, 230 V, 50 Hz supply with load resistance R = 10 Ω. Find the value of firing angle if an average output voltage of 50% of the maximum possible output voltage is required.Hint: α > 30°.a)92.7°b)67.7°c)45°d)75.7°Correct answer is option 'B'. Can you explain this answer? for Electrical Engineering (EE) 2026 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about A three-phase M-3 converter is operated from a 3-phase, 230 V, 50 Hz supply with load resistance R = 10 Ω. Find the value of firing angle if an average output voltage of 50% of the maximum possible output voltage is required.Hint: α > 30°.a)92.7°b)67.7°c)45°d)75.7°Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A three-phase M-3 converter is operated from a 3-phase, 230 V, 50 Hz supply with load resistance R = 10 Ω. Find the value of firing angle if an average output voltage of 50% of the maximum possible output voltage is required.Hint: α > 30°.a)92.7°b)67.7°c)45°d)75.7°Correct answer is option 'B'. Can you explain this answer?.
A three-phase M-3 converter is operated from a 3-phase, 230 V, 50 Hz supply with load resistance R = 10 Ω. Find the value of firing angle if an average output voltage of 50% of the maximum possible output voltage is required.Hint: α > 30°.a)92.7°b)67.7°c)45°d)75.7°Correct answer is option 'B'. Can you explain this answer? for Electrical Engineering (EE) 2026 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about A three-phase M-3 converter is operated from a 3-phase, 230 V, 50 Hz supply with load resistance R = 10 Ω. Find the value of firing angle if an average output voltage of 50% of the maximum possible output voltage is required.Hint: α > 30°.a)92.7°b)67.7°c)45°d)75.7°Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A three-phase M-3 converter is operated from a 3-phase, 230 V, 50 Hz supply with load resistance R = 10 Ω. Find the value of firing angle if an average output voltage of 50% of the maximum possible output voltage is required.Hint: α > 30°.a)92.7°b)67.7°c)45°d)75.7°Correct answer is option 'B'. Can you explain this answer?.
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