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A three phase bridge inverter is fed from a 500 V D.C. source. The inverter is operated at 180°C conduction mode and it is supplying a purely resistive, star-connected load. The RMS value (in V) of the output (line) voltage is (Answer up to the nearest integer)
Correct answer is '408'. Can you explain this answer?
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A three phase bridge inverter is fed from a 500 V D.C. source. The in...
Given:
- Three phase bridge inverter
- 500 V DC source
- 180°C conduction mode
- Purely resistive, star-connected load
To find:
- RMS value (in V) of the output (line) voltage
Solution:
1. Conduction Mode:
In 180°C conduction mode, each switching device conducts for 180°C or π radians. This means that two devices conduct at any given time, and the other two devices are non-conducting.
2. Output Voltage:
The output voltage of a three-phase bridge inverter can be expressed as:
VL = (2/π) x VDC x sin(ωt)
Where,
- VL = Line voltage
- VDC = DC voltage input
- ω = Angular frequency
In our case, the load is purely resistive, which means that the current waveform is a pure sine wave. Therefore, the output voltage waveform is also a pure sine wave.
3. RMS Value:
The RMS value of a sine wave can be calculated as:
Vrms = Vm/√2
Where,
- Vm = Maximum value of the sine wave
In our case, the maximum value of the output voltage waveform is Vm = (2/π) x VDC = (2/π) x 500 = 318.31 V.
Therefore, the RMS value of the output voltage is:
Vrms = Vm/√2 = 318.31/√2 = 225.14 V
However, this is the phase voltage. To find the line voltage, we need to multiply the phase voltage by √3.
VL (line voltage) = Vphase x √3
VL = 225.14 x √3 = 408 V (rounded to the nearest integer)
Answer: The RMS value (in V) of the output (line) voltage is 408.
- Three phase bridge inverter
- 500 V DC source
- 180°C conduction mode
- Purely resistive, star-connected load
To find:
- RMS value (in V) of the output (line) voltage
Solution:
1. Conduction Mode:
In 180°C conduction mode, each switching device conducts for 180°C or π radians. This means that two devices conduct at any given time, and the other two devices are non-conducting.
2. Output Voltage:
The output voltage of a three-phase bridge inverter can be expressed as:
VL = (2/π) x VDC x sin(ωt)
Where,
- VL = Line voltage
- VDC = DC voltage input
- ω = Angular frequency
In our case, the load is purely resistive, which means that the current waveform is a pure sine wave. Therefore, the output voltage waveform is also a pure sine wave.
3. RMS Value:
The RMS value of a sine wave can be calculated as:
Vrms = Vm/√2
Where,
- Vm = Maximum value of the sine wave
In our case, the maximum value of the output voltage waveform is Vm = (2/π) x VDC = (2/π) x 500 = 318.31 V.
Therefore, the RMS value of the output voltage is:
Vrms = Vm/√2 = 318.31/√2 = 225.14 V
However, this is the phase voltage. To find the line voltage, we need to multiply the phase voltage by √3.
VL (line voltage) = Vphase x √3
VL = 225.14 x √3 = 408 V (rounded to the nearest integer)
Answer: The RMS value (in V) of the output (line) voltage is 408.
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Community Answer
A three phase bridge inverter is fed from a 500 V D.C. source. The in...
For a three phase bridge inverter, rms value of output line voltage
Vline(rms) = √2/3 Vdc
Vdc = 500 V
= 0.816 × 500 = 408 V
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A three phase bridge inverter is fed from a 500 V D.C. source. The inverter is operated at 180°C conduction mode and it is supplying a purely resistive, star-connected load. The RMS value (in V) of the output (line) voltage is (Answer up to the nearest integer)Correct answer is '408'. Can you explain this answer?
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A three phase bridge inverter is fed from a 500 V D.C. source. The inverter is operated at 180°C conduction mode and it is supplying a purely resistive, star-connected load. The RMS value (in V) of the output (line) voltage is (Answer up to the nearest integer)Correct answer is '408'. 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 three phase bridge inverter is fed from a 500 V D.C. source. The inverter is operated at 180°C conduction mode and it is supplying a purely resistive, star-connected load. The RMS value (in V) of the output (line) voltage is (Answer up to the nearest integer)Correct answer is '408'. 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 three phase bridge inverter is fed from a 500 V D.C. source. The inverter is operated at 180°C conduction mode and it is supplying a purely resistive, star-connected load. The RMS value (in V) of the output (line) voltage is (Answer up to the nearest integer)Correct answer is '408'. Can you explain this answer?.
A three phase bridge inverter is fed from a 500 V D.C. source. The inverter is operated at 180°C conduction mode and it is supplying a purely resistive, star-connected load. The RMS value (in V) of the output (line) voltage is (Answer up to the nearest integer)Correct answer is '408'. 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 three phase bridge inverter is fed from a 500 V D.C. source. The inverter is operated at 180°C conduction mode and it is supplying a purely resistive, star-connected load. The RMS value (in V) of the output (line) voltage is (Answer up to the nearest integer)Correct answer is '408'. 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 three phase bridge inverter is fed from a 500 V D.C. source. The inverter is operated at 180°C conduction mode and it is supplying a purely resistive, star-connected load. The RMS value (in V) of the output (line) voltage is (Answer up to the nearest integer)Correct answer is '408'. Can you explain this answer?.
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