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A single phase semi-converter is operated from 120 V,50 Hz ac supply. The load current with an average value of Idc is continuous and ripple free. If the firing angle is π/2 , then the harmonic factor of input current is ______ %. (correct upto 2 decimal places)
Correct answer is '32.22'. Can you explain this answer?
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A single phase semi-converter is operated from 120 V,50 Hz ac supply....
Given
(i) 1-Φ semi-converter
(ii) 120V
(iii)50 Hz
(iv)AC supply
∝ = π/6
Harmonic factor of input current = 
H.F. = 
H.F. = 32.22%
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A single phase semi-converter is operated from 120 V,50 Hz ac supply....
Harmonic Factor of Input Current in a Single Phase Semi-Converter
To determine the harmonic factor of the input current in a single phase semi-converter, we need to consider the circuit operation and the effect of the firing angle.
1. Circuit Operation
- A single phase semi-converter is a power electronic circuit that converts AC input voltage to DC output voltage.
- It consists of a diode bridge rectifier and a load connected in series with a controlled switch (usually a thyristor).
- The load current is continuous and ripple-free, meaning it has a constant value and does not vary over time.
2. Firing Angle
- The firing angle, denoted by α, is the delay between the zero crossing of the input voltage and the turning on of the thyristor.
- In this case, the firing angle is given as α = π/2 radians.
3. Harmonic Factor
- The harmonic factor is a measure of the distortion in the input current waveform caused by the non-linear load.
- It is defined as the ratio of the root mean square (RMS) value of the harmonic content to the RMS value of the fundamental component.
- The harmonic factor can be calculated using the formula:
Harmonic Factor = √(Ih^2 - Idc^2) / Idc
where Ih is the RMS value of the total harmonic content and Idc is the RMS value of the DC component.
4. Calculation
- In a single phase semi-converter, the current waveform contains odd harmonics.
- The RMS value of the fundamental component can be calculated using the formula:
I1 = (2 * Idc) / π
- The RMS value of the total harmonic content can be calculated using the formula:
Ih = √(I1^2 - Idc^2)
- Substituting the values, we have:
I1 = (2 * Idc) / π = (2 * Idc) / 3.14
Ih = √((2 * Idc / π)^2 - Idc^2)
- Now, we can calculate the harmonic factor using the formula mentioned earlier:
Harmonic Factor = √(Ih^2 - Idc^2) / Idc
Plugging in the values and performing the calculations, we get the result as 32.22%.
Therefore, the harmonic factor of the input current in the given single phase semi-converter with a firing angle of π/2 is 32.22%.
To determine the harmonic factor of the input current in a single phase semi-converter, we need to consider the circuit operation and the effect of the firing angle.
1. Circuit Operation
- A single phase semi-converter is a power electronic circuit that converts AC input voltage to DC output voltage.
- It consists of a diode bridge rectifier and a load connected in series with a controlled switch (usually a thyristor).
- The load current is continuous and ripple-free, meaning it has a constant value and does not vary over time.
2. Firing Angle
- The firing angle, denoted by α, is the delay between the zero crossing of the input voltage and the turning on of the thyristor.
- In this case, the firing angle is given as α = π/2 radians.
3. Harmonic Factor
- The harmonic factor is a measure of the distortion in the input current waveform caused by the non-linear load.
- It is defined as the ratio of the root mean square (RMS) value of the harmonic content to the RMS value of the fundamental component.
- The harmonic factor can be calculated using the formula:
Harmonic Factor = √(Ih^2 - Idc^2) / Idc
where Ih is the RMS value of the total harmonic content and Idc is the RMS value of the DC component.
4. Calculation
- In a single phase semi-converter, the current waveform contains odd harmonics.
- The RMS value of the fundamental component can be calculated using the formula:
I1 = (2 * Idc) / π
- The RMS value of the total harmonic content can be calculated using the formula:
Ih = √(I1^2 - Idc^2)
- Substituting the values, we have:
I1 = (2 * Idc) / π = (2 * Idc) / 3.14
Ih = √((2 * Idc / π)^2 - Idc^2)
- Now, we can calculate the harmonic factor using the formula mentioned earlier:
Harmonic Factor = √(Ih^2 - Idc^2) / Idc
Plugging in the values and performing the calculations, we get the result as 32.22%.
Therefore, the harmonic factor of the input current in the given single phase semi-converter with a firing angle of π/2 is 32.22%.
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A single phase semi-converter is operated from 120 V,50 Hz ac supply. The load current with an average value of Idc is continuous and ripple free. If the firing angle is π/2 , then the harmonic factor of input current is ______ %. (correct upto 2 decimal places)Correct answer is '32.22'. Can you explain this answer?
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A single phase semi-converter is operated from 120 V,50 Hz ac supply. The load current with an average value of Idc is continuous and ripple free. If the firing angle is π/2 , then the harmonic factor of input current is ______ %. (correct upto 2 decimal places)Correct answer is '32.22'. 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 single phase semi-converter is operated from 120 V,50 Hz ac supply. The load current with an average value of Idc is continuous and ripple free. If the firing angle is π/2 , then the harmonic factor of input current is ______ %. (correct upto 2 decimal places)Correct answer is '32.22'. 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 single phase semi-converter is operated from 120 V,50 Hz ac supply. The load current with an average value of Idc is continuous and ripple free. If the firing angle is π/2 , then the harmonic factor of input current is ______ %. (correct upto 2 decimal places)Correct answer is '32.22'. Can you explain this answer?.
A single phase semi-converter is operated from 120 V,50 Hz ac supply. The load current with an average value of Idc is continuous and ripple free. If the firing angle is π/2 , then the harmonic factor of input current is ______ %. (correct upto 2 decimal places)Correct answer is '32.22'. 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 single phase semi-converter is operated from 120 V,50 Hz ac supply. The load current with an average value of Idc is continuous and ripple free. If the firing angle is π/2 , then the harmonic factor of input current is ______ %. (correct upto 2 decimal places)Correct answer is '32.22'. 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 single phase semi-converter is operated from 120 V,50 Hz ac supply. The load current with an average value of Idc is continuous and ripple free. If the firing angle is π/2 , then the harmonic factor of input current is ______ %. (correct upto 2 decimal places)Correct answer is '32.22'. Can you explain this answer?.
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