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Directions: A single phase half-bridge inverter is operated from a 24 V source and supplies power to a resistive load.
The harmonic factor and the distortion factor for the lowest order harmonic are respectively
- a)20%, 2.22%
- b)7.68%, 33.33%
- c)33.33%, 3.7%
- d)35.88%, 3.98%
Correct answer is option 'C'. Can you explain this answer?
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Directions: A single phase half-bridge inverter is operated from a 24 ...
Harmonic Factor and Distortion Factor in a Half-Bridge Inverter
Introduction:
In power electronics, a half-bridge inverter is a type of inverter that converts DC power into AC power. It consists of two switches, typically MOSFETs or IGBTs, that are connected to a DC source and control the flow of current through the load. The output of the inverter is a square wave, which can be used to power resistive loads.
Given Data:
- Source Voltage (Vdc) = 24 V
- Resistive Load
Harmonic Factor:
The harmonic factor is a measure of the distortion present in the output waveform of an inverter. 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. In a half-bridge inverter, the lowest order harmonic is the third harmonic (3rd), which is the most dominant harmonic.
The formula to calculate the harmonic factor is given by:
Harmonic Factor = (V3 / V1) * 100
Where:
- V3 is the rms value of the 3rd harmonic component
- V1 is the rms value of the fundamental component
In a half-bridge inverter, the rms value of the 3rd harmonic component (V3) can be calculated as:
V3 = (3 * Vdc) / (π * √3)
Plugging in the given value of Vdc = 24 V, we can calculate V3.
V3 = (3 * 24) / (π * √3)
Distortion Factor:
The distortion factor is another measure of the distortion present in the output waveform of an inverter. It is defined as the ratio of the rms value of the harmonic content to the rms value of the total waveform.
The formula to calculate the distortion factor is given by:
Distortion Factor = (Vh / Vrms) * 100
Where:
- Vh is the rms value of the harmonic content
- Vrms is the rms value of the total waveform
In a half-bridge inverter, the rms value of the harmonic content (Vh) can be calculated as:
Vh = √(V3^2 + V1^2)
Plugging in the calculated values of V3 and V1, we can calculate Vh.
Vh = √((V3^2) + (V1^2))
The rms value of the total waveform (Vrms) is equal to the rms value of the fundamental component (V1).
Calculation:
Using the above formulas, we can calculate the harmonic factor and distortion factor for the given half-bridge inverter.
1. Calculate V3:
V3 = (3 * 24) / (π * √3)
2. Calculate Vh:
Vh = √((V3^2) + (V1^2))
3. Calculate Distortion Factor:
Distortion Factor = (Vh / Vrms) * 100
4. Calculate Harmonic Factor:
Harmonic Factor = (V3 / V1) * 100
Answer:
The calculated values for the harmonic factor and distortion factor are compared to the given options. The option 'C' has the
Introduction:
In power electronics, a half-bridge inverter is a type of inverter that converts DC power into AC power. It consists of two switches, typically MOSFETs or IGBTs, that are connected to a DC source and control the flow of current through the load. The output of the inverter is a square wave, which can be used to power resistive loads.
Given Data:
- Source Voltage (Vdc) = 24 V
- Resistive Load
Harmonic Factor:
The harmonic factor is a measure of the distortion present in the output waveform of an inverter. 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. In a half-bridge inverter, the lowest order harmonic is the third harmonic (3rd), which is the most dominant harmonic.
The formula to calculate the harmonic factor is given by:
Harmonic Factor = (V3 / V1) * 100
Where:
- V3 is the rms value of the 3rd harmonic component
- V1 is the rms value of the fundamental component
In a half-bridge inverter, the rms value of the 3rd harmonic component (V3) can be calculated as:
V3 = (3 * Vdc) / (π * √3)
Plugging in the given value of Vdc = 24 V, we can calculate V3.
V3 = (3 * 24) / (π * √3)
Distortion Factor:
The distortion factor is another measure of the distortion present in the output waveform of an inverter. It is defined as the ratio of the rms value of the harmonic content to the rms value of the total waveform.
The formula to calculate the distortion factor is given by:
Distortion Factor = (Vh / Vrms) * 100
Where:
- Vh is the rms value of the harmonic content
- Vrms is the rms value of the total waveform
In a half-bridge inverter, the rms value of the harmonic content (Vh) can be calculated as:
Vh = √(V3^2 + V1^2)
Plugging in the calculated values of V3 and V1, we can calculate Vh.
Vh = √((V3^2) + (V1^2))
The rms value of the total waveform (Vrms) is equal to the rms value of the fundamental component (V1).
Calculation:
Using the above formulas, we can calculate the harmonic factor and distortion factor for the given half-bridge inverter.
1. Calculate V3:
V3 = (3 * 24) / (π * √3)
2. Calculate Vh:
Vh = √((V3^2) + (V1^2))
3. Calculate Distortion Factor:
Distortion Factor = (Vh / Vrms) * 100
4. Calculate Harmonic Factor:
Harmonic Factor = (V3 / V1) * 100
Answer:
The calculated values for the harmonic factor and distortion factor are compared to the given options. The option 'C' has the
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Community Answer
Directions: A single phase half-bridge inverter is operated from a 24 ...
We have, RMS value of fundamental component
V1rms = 2Vdc/√2л = 10.8V
The lowest harmonic is third harmonic.Third harmonic voltage is
HF for the third harmonic
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Directions: A single phase half-bridge inverter is operated from a 24 V source and supplies power to a resistive load.The harmonic factor and the distortion factor for the lowest order harmonic are respectivelya)20%, 2.22%b)7.68%, 33.33%c)33.33%, 3.7%d)35.88%, 3.98%Correct answer is option 'C'. Can you explain this answer?
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Directions: A single phase half-bridge inverter is operated from a 24 V source and supplies power to a resistive load.The harmonic factor and the distortion factor for the lowest order harmonic are respectivelya)20%, 2.22%b)7.68%, 33.33%c)33.33%, 3.7%d)35.88%, 3.98%Correct answer is option 'C'. 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 Directions: A single phase half-bridge inverter is operated from a 24 V source and supplies power to a resistive load.The harmonic factor and the distortion factor for the lowest order harmonic are respectivelya)20%, 2.22%b)7.68%, 33.33%c)33.33%, 3.7%d)35.88%, 3.98%Correct answer is option 'C'. 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 Directions: A single phase half-bridge inverter is operated from a 24 V source and supplies power to a resistive load.The harmonic factor and the distortion factor for the lowest order harmonic are respectivelya)20%, 2.22%b)7.68%, 33.33%c)33.33%, 3.7%d)35.88%, 3.98%Correct answer is option 'C'. Can you explain this answer?.
Directions: A single phase half-bridge inverter is operated from a 24 V source and supplies power to a resistive load.The harmonic factor and the distortion factor for the lowest order harmonic are respectivelya)20%, 2.22%b)7.68%, 33.33%c)33.33%, 3.7%d)35.88%, 3.98%Correct answer is option 'C'. 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 Directions: A single phase half-bridge inverter is operated from a 24 V source and supplies power to a resistive load.The harmonic factor and the distortion factor for the lowest order harmonic are respectivelya)20%, 2.22%b)7.68%, 33.33%c)33.33%, 3.7%d)35.88%, 3.98%Correct answer is option 'C'. 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 Directions: A single phase half-bridge inverter is operated from a 24 V source and supplies power to a resistive load.The harmonic factor and the distortion factor for the lowest order harmonic are respectivelya)20%, 2.22%b)7.68%, 33.33%c)33.33%, 3.7%d)35.88%, 3.98%Correct answer is option 'C'. Can you explain this answer?.
Solutions for Directions: A single phase half-bridge inverter is operated from a 24 V source and supplies power to a resistive load.The harmonic factor and the distortion factor for the lowest order harmonic are respectivelya)20%, 2.22%b)7.68%, 33.33%c)33.33%, 3.7%d)35.88%, 3.98%Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Electrical Engineering (EE).
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