Homework 2 A three-phase, two-pole, 35 hp, 480 V, 60 Hz, Y-connected induction motor has the following constants in ohms per phase referred to the stator: R = 0.322N R2 = 0.196 Q X1 = 0.6752 X2 = 0.510N Xm = 12.52 The total rotational losses are 1850 W and are assumed to be constant. The core loss is lumped in with the rotational losses. For a rotor slip of 3% at the rated voltage and rated frequency, determine the following: (b) The stator current (c) The (a) The speed in rpm and in rad/s power factor (d) The developed power and output power (e) The developed torque and output torque (f) The efficiency.

Homework 2 A three-phase, two-pole, 35 hp, 480 V, 60 Hz, Y-connected induction motor has the following constants in ohms per phase referred to the stator: R = 0.322N R2 = 0.196 Q X1 = 0.6752 X2 = 0.510N Xm = 12.52 The total rotational losses are 1850 W and are assumed to be constant. The core loss is lumped in with the rotational losses. For a rotor slip of 3% at the rated voltage and rated frequency, determine the following: (b) The stator current (c) The (a) The speed in rpm and in rad/s power factor (d) The developed power and output power (e) The developed torque and output torque (f) The efficiency.

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

See similar textbooks

Similar questions

A short shunt compound dc generator delivers a load current of 30 A and 200 V and has armature, series field and shunt field resistance of 0.05-ohm, 0.03 ohm and 200 ohms respectively. Calculate the generated voltage (allow 1 V for brush contact drop)
380 V, 50 Hz, 2p = 6, star connected induction motor impedance in ohms per phase values:R1 = 0.3, X1 = j0.45, R2 = 0.15, X2 = j0.45, Xm = j15Its total mechanical losses are 500W. Core losses are negligible. For a rotor slip of 0.01 at rated voltage, calculate the following:1-rotor speed2-Input active power3-Stator copper losses4-air gap power5-Transferred power and Output power6-shaft moment7-efficiency
A short-shunt compound generator supplies a load of 10kW at 200V through a pair of feeder resistance 0.10, armature resistance is 0.010 and the shunt field resistance is 52.50 and the series field resistance is 0.102. If the SPL amounts to 631W, determine d) Electrical η ( 87.96% ) e) Commercial η. (83.33%)
A 480V synchronous generator. 200 kVA, 0.8 power factor lagging, 60 Hz, two poles. connected in Y. It has a synchronous reactance of 0.25Ω and an armature resistance of 0.04Ω at 60 Hz, its own friction losses and with the air are 6 kW and its core losses are 4 kW. The field circuit has a voltage of 200 V and the maximum Is is 10 A. The field resistance is adjustable in a range of 20 to 200 Ω. The generator occ is shown in the figure below.Assume that the field current of the generator from the problem in the previous task has been set to 4.5A.a) What will be the voltage at the terminals of the generator if it is connected to a load at A with an impedance of 5<30° Q?b) Draw the phasor diagram of this generator.c) What is the efficiency of the generator under these conditions?d) Suppose now that another charge at A, identical, is placed in parallel with the first one. What happens in the phasor diagram of the generator?e) What is the new terminal voltage after adding charge?…
A 480V synchronous generator. 200 kVA, 0.8 power factor lagging, 60 Hz, two poles. connected in Y. It has a synchronous reactance of 0.25Ω and an armature resistance of 0.04Ω at 60 Hz, its own friction losses and with the air are 6 kW and its core losses are 4 kW. The field circuit has a voltage of 200 V and the maximum Is is 10 A. The field resistance is adjustable in a range of 20 to 200 Ω. The generator occ is shown in the following figure…Assume that the field current of the generatoradjusts to achieve nominal 480V voltage under full load conditionsfor each of the questions below.a) What is the efficiency of the generator at nominal load?b) What is the voltage regulation of the generator if it is loaded with nominal KVAwith charges with a FP of 0.8 behind?c) What is the voltage regulation of the generator if it is loaded with nominal KVAwith charges with a FP of 0.8 in advance?d) What is the voltage regulation of the generator if it is loaded with nominal KVA with loads with a…
A 480V synchronous generator. 200 kVA, 0.8 power factor lagging, 60 Hz, two poles. connected in Y. It has a synchronous reactance of 0.25Ω and an armature resistance of 0.04Ω at 60 Hz, its own friction losses and with the air are 6 kW and its core losses are 4 kW. The field circuit has a voltage of 200 V and the maximum Is is 10 A. The field resistance is adjustable in a range of 20 to 200 Ω. The generator occ is shown in the figure below.a) How much field current is required so that Vi is equal to 480 v when the generator operates without load?b) What is the internal voltage generated in this machine under nominal conditions?c) How much field current is required for Vi to equal 480 V when the generator is operating at rated conditions?d) How much power and torque must the prime mover of the generator be able to supply?
A 6-phase ∆-connected 1600 V (line-to-line), 150 kW, 50 Hz, six-pole induction driveis used in an electric car. The drive has the following parameter values in Ω/phasereferred to the stator:R1 =0.334 Ω R2 =0.168 Ω Rm1 = 125 ΩX1 = 0.273 Ω X2 = 0.287 Ω Xm1 = 16.78 ΩThe total friction, windage, and core losses may be assumed to be constant at Prot =773 W, independent of load. For a slip value of s=0.015: b ) Compute the speed, output torque, power and stator current d) Calculate the efficiency when the motor is operated at rated voltage andfrequency. answer：b) n= 985 rpm; Torque T= 1.18 x104 Nm; Power= 1.22 x106 W; Stator current I = 175.72 /32.79° (d) Efficiency = 86.4%
A long shunt compound de generator delivers a load current of 70 A at 384 V and has armature, series field and shunt field resistances of 0.098 ohms, 0.026 ohms, and 264 ohms, respectively. Calculate the armature current in ampere.
A 50 MVA, 3-phase, 31.2-KV, 0.85- PF-lagging, 50-Hz, 4-pole, Y- connected steam-turbine generator has a synchronous reactance of 10 per-phase, and a negligible armature resistance. This generator is connected to operate in parallel with a large power system (infinite bus). The generator is operating at constant field current with EA = 24.5 KV and 8 = %3D 35°. Find the armature current, and the corresponding power factor. Select one: O a. lA = 1420.2 A , PF = 0.99 %3D lagging O b. IA = 1420.2 A , PF = 0.99 %3D leading O c. IA = 902.1 A , PF = 0.14 leading d. None O e. lA = 902.1 A , PF = 0.85 lagging %3D
A DC series generator is supplying a current of 10 A to a series lighting system through a feeder of total resistance of 2 Ω. The terminal voltage is 2500 V. The armature and series field resistances are respectively 20 and 10 Ω, respectively. A 15-Ω diverter resistance is shunted across the series field. Determine the power developed in the armature of the generator.
3-phase,50 Hz, delta connected generator, its stator winding having 12 slots per pole pair and 6 conductors in each, if the total air gap flux is 160mwb. Find the terminal voltage. The prime mover speed is 750rpm.
A short-shunt compound generator delivers a load current of 30 A at220 V and has armature, series-field and shunt-field resistances of 0.04Ω, 0.20 Ω and 100 Ω respectively. Calculate the generated emf and thearmature current. Allow 1.0 V per brush contact drop.