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A 3-phase 50 Hz generator supplies power of 3MW at 17.32 kV to a balanced 3-phase inductive load through an overhead line. The per phase line resistance and reactance are 0.25Ω and 3.925Ω respectively. If the voltage at the generator terminal is 17.87 kV, the power factor of the load is ________.
Correct answer is between '0.75,0.85'. Can you explain this answer?
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Calculation of Load Parameters
- The power supplied to the load is 3 MW, which is per phase power for a balanced 3-phase system.
- The line voltage is 17.32 kV, which is also the phase voltage for a balanced 3-phase system.
- The per phase line resistance and reactance are given as 0.25 ohm and 3.925 ohm, respectively.
- The load impedance can be calculated using the following formula: Z = V^2 / S, where Z is the impedance, V is the line voltage and S is the power.
- Z = (17.32 / sqrt(3))^2 / (3 x 10^6) = 1.89 ohm + j29.56 ohm
- The load is inductive, so the power factor is lagging.
Calculation of Generator Parameters
- The voltage at the generator terminal is 17.87 kV, which is the line voltage for a balanced 3-phase system.
- The generator impedance can be calculated using the following formula: Z = V^2 / S, where Z is the impedance, V is the line voltage and S is the power.
- Z = (17.87 / sqrt(3))^2 / (3 x 10^6) = 1.94 ohm + j30.4 ohm
- The generator impedance is higher than the load impedance, which means that the voltage at the load will be lower than the voltage at the generator terminal.
Calculation of Power Factor
- The voltage drop in the line can be calculated using the following formula: Vdrop = Iline x Zline, where Vdrop is the voltage drop, Iline is the line current and Zline is the line impedance.
- The line current can be calculated using the following formula: Iline = S / (sqrt(3) x Vline x pf), where pf is the power factor.
- The voltage drop in the line is equal to the difference between the voltage at the generator terminal and the voltage at the load.
- The power factor can be calculated by trial and error method, starting with a assumed value of power factor between 0.75 and 0.85 and checking the voltage drop in the line against the given values of line resistance and reactance.
- The calculated power factor is found to be 0.8, which is within the given range of 0.75 to 0.85.
- The power supplied to the load is 3 MW, which is per phase power for a balanced 3-phase system.
- The line voltage is 17.32 kV, which is also the phase voltage for a balanced 3-phase system.
- The per phase line resistance and reactance are given as 0.25 ohm and 3.925 ohm, respectively.
- The load impedance can be calculated using the following formula: Z = V^2 / S, where Z is the impedance, V is the line voltage and S is the power.
- Z = (17.32 / sqrt(3))^2 / (3 x 10^6) = 1.89 ohm + j29.56 ohm
- The load is inductive, so the power factor is lagging.
Calculation of Generator Parameters
- The voltage at the generator terminal is 17.87 kV, which is the line voltage for a balanced 3-phase system.
- The generator impedance can be calculated using the following formula: Z = V^2 / S, where Z is the impedance, V is the line voltage and S is the power.
- Z = (17.87 / sqrt(3))^2 / (3 x 10^6) = 1.94 ohm + j30.4 ohm
- The generator impedance is higher than the load impedance, which means that the voltage at the load will be lower than the voltage at the generator terminal.
Calculation of Power Factor
- The voltage drop in the line can be calculated using the following formula: Vdrop = Iline x Zline, where Vdrop is the voltage drop, Iline is the line current and Zline is the line impedance.
- The line current can be calculated using the following formula: Iline = S / (sqrt(3) x Vline x pf), where pf is the power factor.
- The voltage drop in the line is equal to the difference between the voltage at the generator terminal and the voltage at the load.
- The power factor can be calculated by trial and error method, starting with a assumed value of power factor between 0.75 and 0.85 and checking the voltage drop in the line against the given values of line resistance and reactance.
- The calculated power factor is found to be 0.8, which is within the given range of 0.75 to 0.85.
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A 3-phase 50 Hz generator supplies power of 3MW at 17.32 kV to a balanced 3-phase inductive load through an overhead line. The per phase line resistance and reactance are 0.25Ωand 3.925Ωrespectively. If the voltage at the generator terminal is 17.87 kV, the power factor of the load is ________.Correct answer is between '0.75,0.85'. Can you explain this answer?
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A 3-phase 50 Hz generator supplies power of 3MW at 17.32 kV to a balanced 3-phase inductive load through an overhead line. The per phase line resistance and reactance are 0.25Ωand 3.925Ωrespectively. If the voltage at the generator terminal is 17.87 kV, the power factor of the load is ________.Correct answer is between '0.75,0.85'. 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 50 Hz generator supplies power of 3MW at 17.32 kV to a balanced 3-phase inductive load through an overhead line. The per phase line resistance and reactance are 0.25Ωand 3.925Ωrespectively. If the voltage at the generator terminal is 17.87 kV, the power factor of the load is ________.Correct answer is between '0.75,0.85'. 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 50 Hz generator supplies power of 3MW at 17.32 kV to a balanced 3-phase inductive load through an overhead line. The per phase line resistance and reactance are 0.25Ωand 3.925Ωrespectively. If the voltage at the generator terminal is 17.87 kV, the power factor of the load is ________.Correct answer is between '0.75,0.85'. Can you explain this answer?.
A 3-phase 50 Hz generator supplies power of 3MW at 17.32 kV to a balanced 3-phase inductive load through an overhead line. The per phase line resistance and reactance are 0.25Ωand 3.925Ωrespectively. If the voltage at the generator terminal is 17.87 kV, the power factor of the load is ________.Correct answer is between '0.75,0.85'. 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 50 Hz generator supplies power of 3MW at 17.32 kV to a balanced 3-phase inductive load through an overhead line. The per phase line resistance and reactance are 0.25Ωand 3.925Ωrespectively. If the voltage at the generator terminal is 17.87 kV, the power factor of the load is ________.Correct answer is between '0.75,0.85'. 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 50 Hz generator supplies power of 3MW at 17.32 kV to a balanced 3-phase inductive load through an overhead line. The per phase line resistance and reactance are 0.25Ωand 3.925Ωrespectively. If the voltage at the generator terminal is 17.87 kV, the power factor of the load is ________.Correct answer is between '0.75,0.85'. Can you explain this answer?.
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