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In a three phase balanced,delta connected system each phase voktage contains a fundamental,a third harmonic and a fifth harmonic of RMS values:100v,30v,20v resp. what is the RMS value of the line to line voltage?
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Calculation of Line to Line Voltage in a Balanced Delta Connected System
To calculate the line to line voltage in a balanced delta connected system with harmonics, we need to consider the phase voltages and their harmonic components.
Given Data:
- Fundamental RMS phase voltage (V1) = 100V
- Third harmonic RMS phase voltage (V3) = 30V
- Fifth harmonic RMS phase voltage (V5) = 20V
Calculation:
1. Line to Line Voltage (VL-LL) in a Delta Connection:
In a delta connected system, the line to line voltage is given by:
VL-LL = √3 * Vph
2. Total Phase Voltage with Harmonics:
The total phase voltage can be calculated by adding the RMS values of fundamental and harmonic components:
Vph = √(V1^2 + V3^2 + V5^2)
Vph = √(100^2 + 30^2 + 20^2)
Vph = √(10000 + 900 + 400)
Vph = √11300 ≈ 106.3V
3. Line to Line Voltage Calculation:
VL-LL = √3 * Vph
VL-LL = √3 * 106.3
VL-LL ≈ 184.1V
Result:
The RMS value of the line to line voltage in the balanced delta connected system with harmonics is approximately 184.1V.
To calculate the line to line voltage in a balanced delta connected system with harmonics, we need to consider the phase voltages and their harmonic components.
Given Data:
- Fundamental RMS phase voltage (V1) = 100V
- Third harmonic RMS phase voltage (V3) = 30V
- Fifth harmonic RMS phase voltage (V5) = 20V
Calculation:
1. Line to Line Voltage (VL-LL) in a Delta Connection:
In a delta connected system, the line to line voltage is given by:
VL-LL = √3 * Vph
2. Total Phase Voltage with Harmonics:
The total phase voltage can be calculated by adding the RMS values of fundamental and harmonic components:
Vph = √(V1^2 + V3^2 + V5^2)
Vph = √(100^2 + 30^2 + 20^2)
Vph = √(10000 + 900 + 400)
Vph = √11300 ≈ 106.3V
3. Line to Line Voltage Calculation:
VL-LL = √3 * Vph
VL-LL = √3 * 106.3
VL-LL ≈ 184.1V
Result:
The RMS value of the line to line voltage in the balanced delta connected system with harmonics is approximately 184.1V.
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In a three phase balanced,delta connected system each phase voktage contains a fundamental,a third harmonic and a fifth harmonic of RMS values:100v,30v,20v resp. what is the RMS value of the line to line voltage?
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In a three phase balanced,delta connected system each phase voktage contains a fundamental,a third harmonic and a fifth harmonic of RMS values:100v,30v,20v resp. what is the RMS value of the line to line voltage? 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 In a three phase balanced,delta connected system each phase voktage contains a fundamental,a third harmonic and a fifth harmonic of RMS values:100v,30v,20v resp. what is the RMS value of the line to line voltage? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a three phase balanced,delta connected system each phase voktage contains a fundamental,a third harmonic and a fifth harmonic of RMS values:100v,30v,20v resp. what is the RMS value of the line to line voltage?.
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