Problem 1 Consider the electric systems of Figure 1 Data: Infinite bus M₁ is an induction motor Transmission line [P=15 [KW] |PF = 0.69 lagging P₂ = 10 [KW] PF, = ? M₂ is a synchronous motor Figure 1: System composed by an infinite bus, a transmission line and two AC motors Industrial plant Power absorbed P₁ = 10 [KW] Voltage: V = 208 [V], A connected Synchronous reactance X = 2.5 [2] Armature resistance R₁ → 0 E A = 40 If Excitation constant K = (M₁ 1a) Calculate the plant power factor PF if the synchronous motor is adjusted to operate with a power factor PF, = 1 1b) Design the synchronous motor power factor PF₂ to obtain a plant power factor PF = 0.95 M Problem 2. The Synchronous motor M₂ in Problem 1 has the following data: [V] [A] 2a) Design the excitation current I, to obtain a power factor of PF₂ = 1 2b) Design the excitation current I, to obtain a power factor of PF₂ = 0.8 leading
Problem 1 Consider the electric systems of Figure 1 Data: Infinite bus M₁ is an induction motor Transmission line [P=15 [KW] |PF = 0.69 lagging P₂ = 10 [KW] PF, = ? M₂ is a synchronous motor Figure 1: System composed by an infinite bus, a transmission line and two AC motors Industrial plant Power absorbed P₁ = 10 [KW] Voltage: V = 208 [V], A connected Synchronous reactance X = 2.5 [2] Armature resistance R₁ → 0 E A = 40 If Excitation constant K = (M₁ 1a) Calculate the plant power factor PF if the synchronous motor is adjusted to operate with a power factor PF, = 1 1b) Design the synchronous motor power factor PF₂ to obtain a plant power factor PF = 0.95 M Problem 2. The Synchronous motor M₂ in Problem 1 has the following data: [V] [A] 2a) Design the excitation current I, to obtain a power factor of PF₂ = 1 2b) Design the excitation current I, to obtain a power factor of PF₂ = 0.8 leading
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Topic is Electric Energy Systems:
![Problem 1
Consider the electric systems of Figure 1
Data:
Infinite bus
M₁ is an induction motor
Transmission line
[P=15 [KW]
|PF = 0.69 lagging
P₂ = 10 [KW]
PF, = ?
M₂ is a synchronous motor
Figure 1: System composed by an infinite bus, a transmission line and two AC motors
Industrial plant
Power absorbed P₁ = 10 [KW]
Voltage: V = 208 [V], A connected
Synchronous reactance X = 2.5 [2]
Armature resistance R₁ → 0
E
A = 40
If
Excitation constant K =
(M₁
1a) Calculate the plant power factor PF if the synchronous motor is adjusted to
operate with a power factor PF, = 1
1b) Design the synchronous motor power factor PF₂ to obtain a plant power factor PF = 0.95
M
Problem 2.
The Synchronous motor M₂ in Problem 1 has the following data:
[V]
[A]
2a) Design the excitation current I, to obtain a power factor of PF₂ = 1
2b) Design the excitation current I, to obtain a power factor of PF₂ = 0.8 leading](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffb9a7c18-65f1-48ed-bb7e-4937a04e4157%2F253d1b2f-4e5d-47e8-bc0d-a084218eacde%2F8lhtl8_processed.png&w=3840&q=75)
Transcribed Image Text:Problem 1
Consider the electric systems of Figure 1
Data:
Infinite bus
M₁ is an induction motor
Transmission line
[P=15 [KW]
|PF = 0.69 lagging
P₂ = 10 [KW]
PF, = ?
M₂ is a synchronous motor
Figure 1: System composed by an infinite bus, a transmission line and two AC motors
Industrial plant
Power absorbed P₁ = 10 [KW]
Voltage: V = 208 [V], A connected
Synchronous reactance X = 2.5 [2]
Armature resistance R₁ → 0
E
A = 40
If
Excitation constant K =
(M₁
1a) Calculate the plant power factor PF if the synchronous motor is adjusted to
operate with a power factor PF, = 1
1b) Design the synchronous motor power factor PF₂ to obtain a plant power factor PF = 0.95
M
Problem 2.
The Synchronous motor M₂ in Problem 1 has the following data:
[V]
[A]
2a) Design the excitation current I, to obtain a power factor of PF₂ = 1
2b) Design the excitation current I, to obtain a power factor of PF₂ = 0.8 leading
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