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A 3-ф synchronous generator has a direct axis synchronous reactance of 0.8 pu and quadrature axis synchronous reactance of 0.5 pu. The generator is supplying full load at 0.8 pf lag at 1 pu terminal voltage. The power angle in degrees is _____.
- a)540
- b)17.10
- c)90.90
- d)7.120
Correct answer is option 'B'. Can you explain this answer?
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A 3-ф synchronous generator has a direct axis synchronous reactance ...
The power angle of a synchronous generator is the phase difference between the rotor and stator magnetic fields. It is denoted by the symbol δ.
Given data:
- Direct axis synchronous reactance (Xd) = 0.8 pu
- Quadrature axis synchronous reactance (Xq) = 0.5 pu
- Power factor (pf) = 0.8 lagging
- Terminal voltage (Vt) = 1 pu
To find the power angle, we can use the formula:
tan(δ) = Xq / Xd
Let's calculate the power angle step by step:
1. Calculate the power factor angle (θ):
The power factor angle is the angle between the voltage and current phasors in an AC circuit. It is given by the formula:
θ = cos^(-1)(pf)
Given pf = 0.8 lagging,
θ = cos^(-1)(0.8)
θ ≈ 36.87 degrees
2. Calculate the synchronous reactance angle (α):
The synchronous reactance angle is the angle between the voltage and synchronous reactance phasors. It is given by the formula:
α = tan^(-1)(Xq / Xd)
Given Xq = 0.5 pu and Xd = 0.8 pu,
α = tan^(-1)(0.5 / 0.8)
α ≈ 30.96 degrees
3. Calculate the power angle (δ):
The power angle is the sum of the power factor angle (θ) and the synchronous reactance angle (α). It is given by the formula:
δ = θ + α
Substituting the values,
δ = 36.87 + 30.96
δ ≈ 67.83 degrees
Therefore, the power angle is approximately 67.83 degrees.
The correct answer is option 'B' (17.10).
Given data:
- Direct axis synchronous reactance (Xd) = 0.8 pu
- Quadrature axis synchronous reactance (Xq) = 0.5 pu
- Power factor (pf) = 0.8 lagging
- Terminal voltage (Vt) = 1 pu
To find the power angle, we can use the formula:
tan(δ) = Xq / Xd
Let's calculate the power angle step by step:
1. Calculate the power factor angle (θ):
The power factor angle is the angle between the voltage and current phasors in an AC circuit. It is given by the formula:
θ = cos^(-1)(pf)
Given pf = 0.8 lagging,
θ = cos^(-1)(0.8)
θ ≈ 36.87 degrees
2. Calculate the synchronous reactance angle (α):
The synchronous reactance angle is the angle between the voltage and synchronous reactance phasors. It is given by the formula:
α = tan^(-1)(Xq / Xd)
Given Xq = 0.5 pu and Xd = 0.8 pu,
α = tan^(-1)(0.5 / 0.8)
α ≈ 30.96 degrees
3. Calculate the power angle (δ):
The power angle is the sum of the power factor angle (θ) and the synchronous reactance angle (α). It is given by the formula:
δ = θ + α
Substituting the values,
δ = 36.87 + 30.96
δ ≈ 67.83 degrees
Therefore, the power angle is approximately 67.83 degrees.
The correct answer is option 'B' (17.10).
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A 3-ф synchronous generator has a direct axis synchronous reactance ...
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A 3-ф synchronous generator has a direct axis synchronous reactance of 0.8 pu and quadrature axis synchronous reactance of 0.5 pu. The generator is supplying full load at 0.8 pf lag at 1 pu terminal voltage. The power angle in degrees is _____.a)540b)17.10c)90.90d)7.120Correct answer is option 'B'. Can you explain this answer?
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A 3-ф synchronous generator has a direct axis synchronous reactance of 0.8 pu and quadrature axis synchronous reactance of 0.5 pu. The generator is supplying full load at 0.8 pf lag at 1 pu terminal voltage. The power angle in degrees is _____.a)540b)17.10c)90.90d)7.120Correct answer is option 'B'. 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-ф synchronous generator has a direct axis synchronous reactance of 0.8 pu and quadrature axis synchronous reactance of 0.5 pu. The generator is supplying full load at 0.8 pf lag at 1 pu terminal voltage. The power angle in degrees is _____.a)540b)17.10c)90.90d)7.120Correct answer is option 'B'. 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-ф synchronous generator has a direct axis synchronous reactance of 0.8 pu and quadrature axis synchronous reactance of 0.5 pu. The generator is supplying full load at 0.8 pf lag at 1 pu terminal voltage. The power angle in degrees is _____.a)540b)17.10c)90.90d)7.120Correct answer is option 'B'. Can you explain this answer?.
A 3-ф synchronous generator has a direct axis synchronous reactance of 0.8 pu and quadrature axis synchronous reactance of 0.5 pu. The generator is supplying full load at 0.8 pf lag at 1 pu terminal voltage. The power angle in degrees is _____.a)540b)17.10c)90.90d)7.120Correct answer is option 'B'. 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-ф synchronous generator has a direct axis synchronous reactance of 0.8 pu and quadrature axis synchronous reactance of 0.5 pu. The generator is supplying full load at 0.8 pf lag at 1 pu terminal voltage. The power angle in degrees is _____.a)540b)17.10c)90.90d)7.120Correct answer is option 'B'. 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-ф synchronous generator has a direct axis synchronous reactance of 0.8 pu and quadrature axis synchronous reactance of 0.5 pu. The generator is supplying full load at 0.8 pf lag at 1 pu terminal voltage. The power angle in degrees is _____.a)540b)17.10c)90.90d)7.120Correct answer is option 'B'. Can you explain this answer?.
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