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A 3-phase midpoint converter, fed from 3-phase, 400 V, 50 Hz supply, has a load R= 1Ω, E = 230 V and large L so that constant load current of 15 A is achieved. If source has an inductance 4 mH, find the firing angle delay of the inverter.
- a)11.24 degrees
- b)19.88 degrees
- c)15.81 degrees
- d)21.21 degrees
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
A 3-phase midpoint converter, fed from 3-phase, 400 V, 50 Hz supply, ...
Given:
- 3-phase midpoint converter
- Input: 3-phase, 400 V, 50 Hz supply
- Load: R = 1Ω, E = 230 V
- Large L so that constant load current of 15 A is achieved
- Source inductance: 4 mH
To find:
Firing angle delay of the inverter
Solution:
Step 1: Calculate the load current:
Given that the load resistance is 1Ω and the load voltage is 230 V, we can use Ohm's Law to calculate the load current:
I = V / R
I = 230 / 1
I = 230 A
Step 2: Calculate the reactance of the source inductance:
The reactance of an inductor is given by the formula:
XL = 2πfL
Where XL is the reactance, f is the frequency, and L is the inductance.
Given that the frequency is 50 Hz and the inductance is 4 mH (0.004 H), we can calculate the reactance:
XL = 2π(50)(0.004)
XL ≈ 1.26 Ω
Step 3: Calculate the current through the inductance:
The current through the inductance can be calculated using Ohm's Law:
IL = V / XL
IL = 400 / 1.26
IL ≈ 317 A
Step 4: Calculate the total load current:
The total load current is the sum of the load current and the current through the inductance:
ITotal = I + IL
ITotal = 230 + 317
ITotal ≈ 547 A
Step 5: Calculate the firing angle delay:
The firing angle delay can be calculated using the formula:
α = sin⁻¹(E / V)
Where α is the firing angle delay, E is the load voltage, and V is the source voltage.
Given that E is 230 V and V is 400 V, we can calculate the firing angle delay:
α = sin⁻¹(230 / 400)
α ≈ 19.88 degrees
Therefore, the firing angle delay of the inverter is approximately 19.88 degrees. Hence, the correct answer is option 'B'.
- 3-phase midpoint converter
- Input: 3-phase, 400 V, 50 Hz supply
- Load: R = 1Ω, E = 230 V
- Large L so that constant load current of 15 A is achieved
- Source inductance: 4 mH
To find:
Firing angle delay of the inverter
Solution:
Step 1: Calculate the load current:
Given that the load resistance is 1Ω and the load voltage is 230 V, we can use Ohm's Law to calculate the load current:
I = V / R
I = 230 / 1
I = 230 A
Step 2: Calculate the reactance of the source inductance:
The reactance of an inductor is given by the formula:
XL = 2πfL
Where XL is the reactance, f is the frequency, and L is the inductance.
Given that the frequency is 50 Hz and the inductance is 4 mH (0.004 H), we can calculate the reactance:
XL = 2π(50)(0.004)
XL ≈ 1.26 Ω
Step 3: Calculate the current through the inductance:
The current through the inductance can be calculated using Ohm's Law:
IL = V / XL
IL = 400 / 1.26
IL ≈ 317 A
Step 4: Calculate the total load current:
The total load current is the sum of the load current and the current through the inductance:
ITotal = I + IL
ITotal = 230 + 317
ITotal ≈ 547 A
Step 5: Calculate the firing angle delay:
The firing angle delay can be calculated using the formula:
α = sin⁻¹(E / V)
Where α is the firing angle delay, E is the load voltage, and V is the source voltage.
Given that E is 230 V and V is 400 V, we can calculate the firing angle delay:
α = sin⁻¹(230 / 400)
α ≈ 19.88 degrees
Therefore, the firing angle delay of the inverter is approximately 19.88 degrees. Hence, the correct answer is option 'B'.
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Community Answer
A 3-phase midpoint converter, fed from 3-phase, 400 V, 50 Hz supply, ...
Given: V= 400 V, f = 50Hz, R = 1Ω, E = 230 V, I0 = 15 A, Ls = 4 mH
Since the power is being transferred from AC and DC terminal voltage of converter,
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A 3-phase midpoint converter, fed from 3-phase, 400 V, 50 Hz supply, has a load R= 1Ω, E = 230 V and large L so that constant load current of 15 A is achieved. If source has an inductance 4 mH, find the firing angle delay of the inverter.a)11.24 degreesb)19.88 degreesc)15.81 degreesd)21.21 degreesCorrect answer is option 'B'. Can you explain this answer?
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A 3-phase midpoint converter, fed from 3-phase, 400 V, 50 Hz supply, has a load R= 1Ω, E = 230 V and large L so that constant load current of 15 A is achieved. If source has an inductance 4 mH, find the firing angle delay of the inverter.a)11.24 degreesb)19.88 degreesc)15.81 degreesd)21.21 degreesCorrect answer is option 'B'. Can you explain this answer? for Electrical Engineering (EE) 2024 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 3-phase midpoint converter, fed from 3-phase, 400 V, 50 Hz supply, has a load R= 1Ω, E = 230 V and large L so that constant load current of 15 A is achieved. If source has an inductance 4 mH, find the firing angle delay of the inverter.a)11.24 degreesb)19.88 degreesc)15.81 degreesd)21.21 degreesCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 3-phase midpoint converter, fed from 3-phase, 400 V, 50 Hz supply, has a load R= 1Ω, E = 230 V and large L so that constant load current of 15 A is achieved. If source has an inductance 4 mH, find the firing angle delay of the inverter.a)11.24 degreesb)19.88 degreesc)15.81 degreesd)21.21 degreesCorrect answer is option 'B'. Can you explain this answer?.
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