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1. A 3 phase 6 pole star connected alternator revolves at 1000 rpm. The stator has 90 slots and 8 conductors per slot. The flux per pole 0.05wb. Calculate the voltage generated by the machine if the winding factor 0.96.?
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1. A 3 phase 6 pole star connected alternator revolves at 1000 rpm. Th...
Problem Statement
A 3 phase 6 pole star connected alternator revolves at 1000 rpm. The stator has 90 slots and 8 conductors per slot. The flux per pole 0.05wb. Calculate the voltage generated by the machine if the winding factor 0.96.
Solution
Given parameters:
- Number of phases (π) = 3
- Number of poles (πππππ ) = 6
- Speed of the alternator (π) = 1000 rpm
- Number of slots (π) = 90
- Number of conductors per slot (π) = 8
- Flux per pole (π) = 0.05 Wb
- Winding factor (ππ€) = 0.96
Step 1: Calculate the synchronous speed of the alternator
The synchronous speed of the alternator (ππ ) can be calculated using the following formula:
ππ = (120 Γ π) / π
where π is the frequency of the current and is assumed to be 50 Hz.
Substituting the values in the above formula, we get:
ππ = (120 Γ 50) / 6 = 1000 rpm
Step 2: Calculate the number of conductors in the stator winding
The number of conductors in the stator winding (ππ) can be calculated using the following formula:
ππ = π Γ π
Substituting the values in the above formula, we get:
ππ = 90 Γ 8 = 720
Step 3: Calculate the emf generated in one phase
The emf generated in one phase (πΈπ) can be calculated using the following formula:
πΈπ = (4.44 Γ π Γ ππ Γ π Γ ππ€) / ππ
Substituting the values in the above formula, we get:
πΈπ = (4.44 Γ 50 Γ 1000 Γ 0.05 Γ 0.96) / 720 = 29.9 V
Step 4: Calculate the line voltage
The line voltage (ππΏ) can be calculated using the following formula:
ππΏ = β3 Γ πΈπ
Substituting the value of
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1. A 3 phase 6 pole star connected alternator revolves at 1000 rpm. The stator has 90 slots and 8 conductors per slot. The flux per pole 0.05wb. Calculate the voltage generated by the machine if the winding factor 0.96.?
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1. A 3 phase 6 pole star connected alternator revolves at 1000 rpm. The stator has 90 slots and 8 conductors per slot. The flux per pole 0.05wb. Calculate the voltage generated by the machine if the winding factor 0.96.? 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 1. A 3 phase 6 pole star connected alternator revolves at 1000 rpm. The stator has 90 slots and 8 conductors per slot. The flux per pole 0.05wb. Calculate the voltage generated by the machine if the winding factor 0.96.? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 1. A 3 phase 6 pole star connected alternator revolves at 1000 rpm. The stator has 90 slots and 8 conductors per slot. The flux per pole 0.05wb. Calculate the voltage generated by the machine if the winding factor 0.96.?.
1. A 3 phase 6 pole star connected alternator revolves at 1000 rpm. The stator has 90 slots and 8 conductors per slot. The flux per pole 0.05wb. Calculate the voltage generated by the machine if the winding factor 0.96.? 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 1. A 3 phase 6 pole star connected alternator revolves at 1000 rpm. The stator has 90 slots and 8 conductors per slot. The flux per pole 0.05wb. Calculate the voltage generated by the machine if the winding factor 0.96.? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 1. A 3 phase 6 pole star connected alternator revolves at 1000 rpm. The stator has 90 slots and 8 conductors per slot. The flux per pole 0.05wb. Calculate the voltage generated by the machine if the winding factor 0.96.?.
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