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For a single phase overhead transmission line, calculate the angle between Sending end voltage and receiving end voltage if the line is delivering 1.1 MW at 33000 V. The total inductive reactance and resistance of the line are 0.015 k and 0.01 k respectively. The power factor is 0.8 lagging.?
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For a single phase overhead transmission line, calculate the angle bet...
Calculation of the Angle between Sending End Voltage and Receiving End Voltage for a Single Phase Overhead Transmission Line
Given Data:
- Power delivered by the transmission line (P) = 1.1 MW
- Voltage at the sending end (V_s) = 33000 V
- Total inductive reactance of the line (X) = 0.015 kΩ
- Resistance of the line (R) = 0.01 kΩ
- Power factor (PF) = 0.8 lagging
Step 1: Calculating the Current
The power delivered by the transmission line can be calculated using the formula:
P = √3 * V_s * I * PF
Rearranging the formula, we can find the current (I):
I = P / (√3 * V_s * PF)
Substituting the given values:
I = 1.1 MW / (√3 * 33000 V * 0.8)
I ≈ 20.78 A
Step 2: Calculating the Voltage Drop
The voltage drop across the line due to resistance can be calculated using Ohm's Law:
V_drop = I * R
Substituting the values, we get:
V_drop = 20.78 A * 0.01 kΩ
V_drop = 0.2078 kV
Step 3: Calculating the Voltage at the Receiving End
The voltage at the receiving end (V_r) can be calculated by subtracting the voltage drop from the sending end voltage:
V_r = V_s - V_drop
V_r = 33000 V - 0.2078 kV
V_r ≈ 32792.2 V
Step 4: Calculating the Angle
The angle between the sending end voltage and receiving end voltage can be calculated using the formula:
θ = arccos(PF)
Substituting the given power factor, we get:
θ = arccos(0.8)
θ ≈ 37.5°
Therefore, the angle between the sending end voltage and receiving end voltage for the single phase overhead transmission line is approximately 37.5°.
Given Data:
- Power delivered by the transmission line (P) = 1.1 MW
- Voltage at the sending end (V_s) = 33000 V
- Total inductive reactance of the line (X) = 0.015 kΩ
- Resistance of the line (R) = 0.01 kΩ
- Power factor (PF) = 0.8 lagging
Step 1: Calculating the Current
The power delivered by the transmission line can be calculated using the formula:
P = √3 * V_s * I * PF
Rearranging the formula, we can find the current (I):
I = P / (√3 * V_s * PF)
Substituting the given values:
I = 1.1 MW / (√3 * 33000 V * 0.8)
I ≈ 20.78 A
Step 2: Calculating the Voltage Drop
The voltage drop across the line due to resistance can be calculated using Ohm's Law:
V_drop = I * R
Substituting the values, we get:
V_drop = 20.78 A * 0.01 kΩ
V_drop = 0.2078 kV
Step 3: Calculating the Voltage at the Receiving End
The voltage at the receiving end (V_r) can be calculated by subtracting the voltage drop from the sending end voltage:
V_r = V_s - V_drop
V_r = 33000 V - 0.2078 kV
V_r ≈ 32792.2 V
Step 4: Calculating the Angle
The angle between the sending end voltage and receiving end voltage can be calculated using the formula:
θ = arccos(PF)
Substituting the given power factor, we get:
θ = arccos(0.8)
θ ≈ 37.5°
Therefore, the angle between the sending end voltage and receiving end voltage for the single phase overhead transmission line is approximately 37.5°.
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For a single phase overhead transmission line, calculate the angle between Sending end voltage and receiving end voltage if the line is delivering 1.1 MW at 33000 V. The total inductive reactance and resistance of the line are 0.015 k and 0.01 k respectively. The power factor is 0.8 lagging.?
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For a single phase overhead transmission line, calculate the angle between Sending end voltage and receiving end voltage if the line is delivering 1.1 MW at 33000 V. The total inductive reactance and resistance of the line are 0.015 k and 0.01 k respectively. The power factor is 0.8 lagging.? 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 For a single phase overhead transmission line, calculate the angle between Sending end voltage and receiving end voltage if the line is delivering 1.1 MW at 33000 V. The total inductive reactance and resistance of the line are 0.015 k and 0.01 k respectively. The power factor is 0.8 lagging.? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for For a single phase overhead transmission line, calculate the angle between Sending end voltage and receiving end voltage if the line is delivering 1.1 MW at 33000 V. The total inductive reactance and resistance of the line are 0.015 k and 0.01 k respectively. The power factor is 0.8 lagging.?.
For a single phase overhead transmission line, calculate the angle between Sending end voltage and receiving end voltage if the line is delivering 1.1 MW at 33000 V. The total inductive reactance and resistance of the line are 0.015 k and 0.01 k respectively. The power factor is 0.8 lagging.? 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 For a single phase overhead transmission line, calculate the angle between Sending end voltage and receiving end voltage if the line is delivering 1.1 MW at 33000 V. The total inductive reactance and resistance of the line are 0.015 k and 0.01 k respectively. The power factor is 0.8 lagging.? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for For a single phase overhead transmission line, calculate the angle between Sending end voltage and receiving end voltage if the line is delivering 1.1 MW at 33000 V. The total inductive reactance and resistance of the line are 0.015 k and 0.01 k respectively. The power factor is 0.8 lagging.?.
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