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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

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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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
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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