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The objectives are: To familiarize with the AC Motor per phase model. To calculate torque factor and Power Factor. Problem: Data: 45 [HP], 208 [V], 60 [Hz], P=4 AC motor, A connected. X = 2.5 [92] Model parameters: R₁ → 0 [Pmech =1.5 [KW] Pore=1 [KW] a) Find the motor speed in [rpm] and in [rad/s] Losses: Initially, the motor is delivering Pout = 15 [HP] operating at PF = 0.8 leading. b) Find the load torque 7, and the induced torque Tind c) Find I₁, I, and E₁. Sketch the phasor diagram.

The objectives are: To familiarize with the AC Motor per phase model. To calculate torque factor and Power Factor. Problem: Data: 45 [HP], 208 [V], 60 [Hz], P=4 AC motor, A connected. X = 2.5 [92] Model parameters: R₁ → 0 [Pmech =1.5 [KW] Pore=1 [KW] a) Find the motor speed in [rpm] and in [rad/s] Losses: Initially, the motor is delivering Pout = 15 [HP] operating at PF = 0.8 leading. b) Find the load torque 7, and the induced torque Tind c) Find I₁, I, and E₁. Sketch the phasor diagram.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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Topic is Electric Energy Systems. Please provide clear solution to the following problem. Thank you!!

 

The objectives are: To familiarize with the AC Motor per phase model. • To calculate torque factor and Power Factor. Problem: Data: 45 [HP], 208 [V], 60 [Hz], P=4 AC motor, A connected. Model parameters: [X, = 2.5 [22] R₁0 Pach=1.5 [KW] mech Pcore=1 [KW] a) Find the motor speed in [rpm] and in [rad/s] Losses: Initially, the motor is delivering Pout=15 [HP] operating at PF = 0.8 leading. b) Find the load torque , and the induced torque tind c) Find I₁, I, and E₁. Sketch the phasor diagram. Assume that the load is increased to Pout=30 [HP] while the excitation current I, is held constant. d) Find the load torque 7, and the induced torque ind e) Find I, I, and E₁. Sketch the behavior of the phasor diagram. Find the new power factor PF.
Transcribed Image Text:The objectives are: To familiarize with the AC Motor per phase model. • To calculate torque factor and Power Factor. Problem: Data: 45 [HP], 208 [V], 60 [Hz], P=4 AC motor, A connected. Model parameters: [X, = 2.5 [22] R₁0 Pach=1.5 [KW] mech Pcore=1 [KW] a) Find the motor speed in [rpm] and in [rad/s] Losses: Initially, the motor is delivering Pout=15 [HP] operating at PF = 0.8 leading. b) Find the load torque , and the induced torque tind c) Find I₁, I, and E₁. Sketch the phasor diagram. Assume that the load is increased to Pout=30 [HP] while the excitation current I, is held constant. d) Find the load torque 7, and the induced torque ind e) Find I, I, and E₁. Sketch the behavior of the phasor diagram. Find the new power factor PF.
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