Objective: The objective of this problem is to learn how to adjust the excitation of an AC generator to keep the same line voltage under different load conditions. Data: 480 [V] generator, A connected, ƒ = 60 [Hz], P = 4 [X, = 0.1 [92] Model parameters: [R₁ = 0.015 [22] V Loc 600+ 500+ 400+ 300+ 200+ 100+ I₁ = 1,200 [A]; PF = 0.8 lagging mec At full-load: Pc = 40 [kw] Pore = 30 [KW] Iµ[A] 6 34 12 78 9 10 Figure 1: OCC (Open Circuit Characteristic) [1₁ = 4.5 [A] →VLoc=480 [V] Readings: 1,= 5.7 [A]→VLoc=532 [V] = 4.1 [A] →V Loc=451 [V] la) Calculate the speed at which the rotor needs to rotate (in rpm and in radians per second). Solution: 1b) Using the OCC (open circuit characteristic) of Figure 1, calculate the field current I, to generate a line voltage VLoc=480 [V] Solution: 1c) Calculate the field current I, needed to reestablish a line voltage V₁ = 480 [V] under full-load current with PF-0.8 lagging. Solution:

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Objective: The objective of this problem is to learn how to adjust the excitation of an AC
generator to keep the same line voltage under different load conditions.
Data:
480 [V] generator, A connected, f = 60 [Hz], P = 4
Model parameters:
V [V]
Loc
600+
1d)
500+
400+
300+
200+
100+
le)
[X, = 0.1 [2]
R₁ = 0.015 [2]
++
1 2 3 4 5 6 7 8 9 10
Figure 1: OCC (Open Circuit Characteristic)
1f)
I₁ = 1,200 [A]; PF = 0.8 lagging
1g)
At full-load: Pec = 40 [KW]
mee
Pore=30 [KW]
la) Calculate the speed at which the rotor needs to rotate (in rpm and in radians per second).
Solution:
I₁ [A]
1b) Using the OCC (open circuit characteristic) of Figure 1, calculate the field
current I, to generate a line voltage V Loc=480 [V]
Solution:
1c) Calculate the field current I needed to reestablish a line voltage V₁ = 480 [V]
under full-load current with PF-0.8 lagging.
Solution:
= 4.5 [A] →VLoc=480 [V]
Readings: I = 5.7 [A]→VLoc=532 [V]
I=4.1 [A] →VLoc = 451 [V]
Calculate the power out Pot, the power converted from mechanical to
electrical Pomy, and the induced torque Tind that we need to overcome.
Solution:
Calculate the power in P, and the applied torque Tapp that we need to apply to
move the rotor. Calculate the generator power efficiency n%
Solution:
What happens if the load is suddenly disconnected while I, = 5.7 [A]?
Solution:
Calculate the field current I needed to reestablish a line voltage V₁ = 480 [V]
under full-load current with PF-0.8 leading.
Solution:
Transcribed Image Text:Objective: The objective of this problem is to learn how to adjust the excitation of an AC generator to keep the same line voltage under different load conditions. Data: 480 [V] generator, A connected, f = 60 [Hz], P = 4 Model parameters: V [V] Loc 600+ 1d) 500+ 400+ 300+ 200+ 100+ le) [X, = 0.1 [2] R₁ = 0.015 [2] ++ 1 2 3 4 5 6 7 8 9 10 Figure 1: OCC (Open Circuit Characteristic) 1f) I₁ = 1,200 [A]; PF = 0.8 lagging 1g) At full-load: Pec = 40 [KW] mee Pore=30 [KW] la) Calculate the speed at which the rotor needs to rotate (in rpm and in radians per second). Solution: I₁ [A] 1b) Using the OCC (open circuit characteristic) of Figure 1, calculate the field current I, to generate a line voltage V Loc=480 [V] Solution: 1c) Calculate the field current I needed to reestablish a line voltage V₁ = 480 [V] under full-load current with PF-0.8 lagging. Solution: = 4.5 [A] →VLoc=480 [V] Readings: I = 5.7 [A]→VLoc=532 [V] I=4.1 [A] →VLoc = 451 [V] Calculate the power out Pot, the power converted from mechanical to electrical Pomy, and the induced torque Tind that we need to overcome. Solution: Calculate the power in P, and the applied torque Tapp that we need to apply to move the rotor. Calculate the generator power efficiency n% Solution: What happens if the load is suddenly disconnected while I, = 5.7 [A]? Solution: Calculate the field current I needed to reestablish a line voltage V₁ = 480 [V] under full-load current with PF-0.8 leading. Solution:
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