The power supplied to a three-phase induction motor is 50 kW and the stator losses are 2 kW. If the slip is 4 per cent, determine (a) the rotor copper loss, (b) the total mechanical power developed by the rotor,

The power supplied to a three-phase induction motor is 50 kW and the stator losses are 2 kW. If the slip is 4 per cent, determine (a) the rotor copper loss, (b) the total mechanical power developed by the rotor,

Power System Analysis and Design (MindTap Course List)

6th Edition

ISBN:9781305632134

Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Chapter2: Fundamentals

Section: Chapter Questions

Problem 2.21P: An industrial plant consisting primarily of induction motor loads absorbs 500 kW at 0.6 power factor...

See similar textbooks

Related questions

Q: A 400 V, 50 Hz, 30 hp, three-phase induction motor is drawing 50 A current at 0.8 power factor…

A: Referring to the question, the given data are:

Q: A 6 pole , three phase induction motor operates from a 300V,45Hz supply. The slip of the machines is…

A: For the three-phase induction motor speed at horsepower output of the motor is determined as shown…

Q: 2. The power input to a 3-phase induction motor is 40 kW. The stator losses total 1 kW and the…

Q: A 230 V three-phase, Y-connected, 50 Hz, 2-pole induction motor has the following constants in ohms…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Q10/ A 3-phase, 6-pole induction motor is connected to a 60 Hz supply. The voltage induced in the…

Q: A 3-phase, 50-Hz induction motor with its rotor star-connected gives 500 V (r.m.s.) at standstill…

A: Three-phase motors are a form of AC motor that is a kind of polyphase motor. A synchronous motor or…

Q: A 12-pole, 3-phase alternator driven at a speed of 500 r.p.m. supplies power to an 8-pole, 3-phase…

Q: AY-connected three-phase induction motor has the following values printed on the nameplate: 23OV…

Q: 4.3 The power supplied to a three phase induction motor is 32 kw and the stator losses are 1200 W.…

Q: A 230-V, 50-Hz, 6-pole, single-phase induction motor has the following constants. n = 0.12 Q, r, =…

Q: A 3 phase 50Hz 6 pole induction motor develops a shaft power output of 20HP at 3% slip. Calculate…

Q: A 75 kW asynchronous motor with a three-phase Y connected synchronous speed of 1800 rpm is fed from…

A: Given :Synchronous speed, NS=1800 rpmV=600 VIL=78 APT=70 kWRotor rotation speed, N=1763 rpmStator…

Q: A 5hp, 220V, 24.08A, 60 Hz, single-phase induction motor with power factor 0.8 lagging. What is the…

A: After capacitor insertion the motor draws only active power from the supply and total reactive…

Q: The name plate of single phase induction motor has following data output 373W,230V, frequency 50Hz.…

A: Given values are - OutputPo=373WVoltageVt=230VInput currentI=2.9APower factorcosϕ=0.71

Q: 1. The rotor of a 220-V., 60 Hz, 4-pole induction motor has a power input of 80 kW is observed that…

A: Copper loss: It is a loss in the form of the heat in the winding. This is undesirable for the…

Q: A three-phase induction motor with electrical phase equivalent circuit below is 4 poles and the…

A: For a) Step 1: Calculate slip 1) Calculate synchronous speed Ns=120fP=120×504=1500 rpm 2)Calculate…

Q: The power supplied to a three-phase induction motor is 20kW and the stator losses are 1000W. If the…

Q: A Y-connected three-phase induction motor has the following values printed on the nameplate: 230V…

Q: A 3-phase, 440-V, Y-connected induction motor has an equivalent T-circuit consisting of R1 = 1 0, X1…

A: Power factor: It tells how much active power is utilized by the circuit from the apparent power.…

Q: Example 1 A three-phase, 20 hp, 208 V, 60 Hz, six pole, wye connected induction motor delivers 15 kW…

A: In the answer we will find all the required parameters as shown below.

Q: a) The power supplied to a three-phase induction motor is 32kW and the stator losses are 1200W. If…

A: The solution is given below

Q: Question 5 A 3-phase squirrel-cage induction motor is drawing 45 kW from a 440-V, 60 Hz 3-phase line…

A: The input power drawn by the motor has been given as 45kW. The slip is 0.03,the input power to rotor…

Q: a) The rotor of a 3 phase, 60HZ, 4 pole induction motor takes 120 KW at 3 Hz. Determine: 1- The…

A: Given, 3 phase induction motor f=60 HzP=4Pg=120 kWfr=3 Hz

Q: A 4-pole, 3-phase alternator drives at 1000 r.p.m. is supplying to an induction motor which has full…

A: Given: 3 Phase Alternator P = 4 Ns = 1000 RPM Full load Speed = 2880 RPM

Q: A 6 pole 3 phase induction motor develops 30 H P including mechanical losses totalling 2 HP, at a…

Q: A three-phase induction motor with electrical phase equivalent circuit below is 4 poles and the…

A: PART (A) Speed of the motor (N) = 1455 rpm No of Poles = 4 Frequency = 50 Hz Synchronous speed =…

Q: Cb) At starting, the winding of a 230V, 50 Hz split-phase induction motor has the following values:…

A: Since you have asked multiple questions in a single request, we will be answering only the first…

Q: AY-connected three-phase induction motor has the following values printed on the nameplate: 230V…

Q: 3.) A 460V, 25hp, 60HZ, 4 pole 3-phase induction motor has the following impedances in ohms per…

A: In the first subpart, there are three subparts. As per bartleby expert policy, only first three…

Q: A two phase symmetrical induction motor has the following information: 1 Kw, 4 poles, 220V, 50Hz,…

A: Given: Vs=220Vr1+jx1=3+j3Ωr2+jx2=2+j2Ωxm=j60Ω

Q: A 2-pole, 50 Hz, 3-phase, turbo-alternator is excited to generate the busbar voltage of 11 kV on no…

A: A synchronous generator's output of electrical torque includes synchronising torque. A magneto is an…

Q: A 4-pole, 3-phase alternator drives at 1500 r.p.m. is supplying to an induction motor which has full…

Q: The power input to a 3 – phase induction motor is 40 kW. The stator losses total 1 kW and the…

Q: A 6 pole, 50 Hz, 3 phase induction motor running on full load develops a useful torque of 150 N.m at…

A: 6 pole, 50 Hz 3 phase induction motor, Shaft torque = 150N-m Rotor frequency 1.5Hz Shaft power?…

Q: B) 6 - pole alternator running at 1000 r.p.m. supplies an 8 – pole induction motor. What is the…

Q: A three phase wye connected synchronous motor has a power rating of 950 hp. 6,600 volts. the…

Q: See attached.

A: Given:

Q: A 3-phase, 50-Hz, induction motor draws 50 kW from the mains. If the stator losses are 2 kW and the…

A: Rotor input= motor input - Stator losses Rotor copper loss = Slip*Rotor input. Gross Mechanical…

Q: A 120 V 60-Hz 6-pole single-phase induction motor has the following constants: R1 = 2.4 n R = 1.6 2…

A: Given: A 120 V, 60-Hz, 6-pole single-phase induction motor has the following constants: R1=2.4…

Q: (ii) If a six-pole induction motor supplied by a three-phase 50 Hz supply has a rotor frequency of…

A: Given: An induction motor has following specifications, Number of poles P=6. Supply frequency f=50…

Q: 1. A6pole, 3 phase induction motor develops a power of 22.38 kW, including mechanical losses which…

A: We are authorized to answer three subparts at a time since you have not mentioned which part you are…

Q: A 480V, 60 Hz, 6-pole, three-phase, delta-connected induction motor has the following parameters:…

Q: A 3-Phase synchronous motor has 12 poles and operates from 440 V, 50 Hz supply .Calculate its…

Q: A 600V supply is coupled to a three- phase induction motor with a nominal rating of 100 horsepower…

Q: A three-phase, 440-V, 60-Hz, wye-connected induction motor takes a stator current of 50 A at 0.8…

A: Slip = (NS-Nr/Ns)×100 Input power = sqrt(3)×line voltage ×line current ×power factor. Rotor input =…

Q: 10. The rotor of an 8-pole, 50-Hz, 3-phase induction motor has a resistance of 0.2 2/phase and runs…

A: In this question we need to find a additional rotor resistance required to reduce the speed by 10%.

Q: Example 6–3. A 460-V, 25-hp, 60-Hz, four-pole, Y-connected induction motor has the following…

A: In the equivalent circuit thr rotor impedance is:…

Q: A three-phase induction motor operates at a slip of 3% and has a rotor copper loss of 300W. The…

Q: A 3-phase, 50-Hz induction motor with its rotor star-connected gives 500 V (r.m.s.) at standstill…

Concept explainers

Synchronous Motor

The synchronous motor is an AC electric type motor where at a steady-state the shaft rotation is synchronized with the supply current variable-frequency. To an integral number of AC cycles, the rotation period is exactly equal. The stator of the motor in the synchronous motor contains multi-phase AC electromagnets due to which a magnetic field is created that rotates in time with the oscillation of the line current. The rotor contains a permanent magnet and the rotor rotates in synchronization with the stator field at the same rate and provides the second synchronized magnetic field which is rotating in nature as a result. When the synchronous motor is supplied with independently excited multi-phase AC electromagnets on both the rotor and the stator, it is termed as a doubly-fed machine. The most widely used AC-type motors are the synchronous AC motor and the induction AC motors.

Question

The power supplied to a three-phase induction
motor is 50 kW and the stator losses are 2 kW.
If the slip is 4 per cent, determine
(a) the rotor copper loss,
(b) the total mechanical power developed by
the rotor,

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.

Similar questions

3-phase, 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.
The input to 6600-V, 3-phase, star-connected synchronous motor is 900 kW. The synchronous reactance per phase is 20 Ω and the effective resistance is negligible. If the generated voltage is 8,900 V (line), calculate the motor current and its power factor.
A 500 kVA, 11 kV, 3-phase star-connected alternator has the following data : Friction and windage loss = 1500 W Open-circuit core loss = 2500 W Effective armature resistance per phase 40 ohm Field copper loss = 1000 W Find (a) alternator efficiency of half-full load and at 0.8 power factor lagging, (b) maximum efficiency of the alternator.
A three-phase, 4-pole IM draws 55kW real power from a three-phase 60Hz feeder. The copper and iron losses in the stator amount to 4kW. If the motor runs at 1740 rpm, draw power flow and calculate: a) the airgap power. b) the rotor loss. c) gross mechanical power. d) if the mechanical loss is 2kW, calculate the efficiency of the motor.
A single-phase alternator connected to 6,600-V bus-bars has a synchronous impedance of 10Ω and a resistance of 1 Ω. If its excitation is such that on open circuit the p.d. would be 5000 V, calculate the maximum load the machine can supply to the external circuit before dropping out of step and the corresponding armature current and p.f. [2864 kW, 787 A, 0.551]
Electrical Engineering A wye-connected synchronous motor connected to a 440V, 3-phase line is operating with an electrical load (torque) angle  of -28 degrees while demanding 90 kW from the mains. The motor has negligible resistance and reactance of 1.5 Ω/ph. Calculate: (a) The line-to-neutral excitation voltage (b) The line current and power factor.
8) In single phase system, the performance of motor produces the uniform torque. Select one: True False
A 3 phase, 200 V, induction motor has stator impedance of (0.07+j 0.42) ohm/ph while equivalent rotor impedance referred to stator is (0.08+j 0.2) ohm/ph. Neglecting no load current, calculate the maximum mechanical power output and the slip corresponding to maximum output condition. Assume star connected stator.
A 3-phase, 400-V, Y-connected synchronous motor has an equivalent reactance of 1 ohm per phase. The exciting current is adjusted to such value that a generated emf per phase is 260 V. Find the power factor at which the motor would operate when taking 40 kW from the supply.
A 60kVA, 220V, 50Hz, single phase alternator has effective armature resistance of 0.016 ohm and an armature leakage reactance of 0.07 ohm. Compute the voltage induced when the alternator is delivering at a load power factor of (a) unity; a. 225.2V b. 252.2V c. 522.2V d. 222.5V
A 400-V, 3-phase induction motor load takes 900 kVA at a power factor of 0.707. Calculate the KVA rating of the capacitor bank to raise the resultant power factor of the installation of 0.866 lagging. Find also the resultant power factor when the capacitors are in circuit and the motor load has fallen to 300 kVA at 0.5 power factor.
A 15kVA, 440V, single-phase alternator draws a field current of 5A at rated load. With the same field current, the open circuit emf and short-circuit current are 100V and 80A respectively. The ohmic resistance of the armature between terminals is 0.12 ohm. The ratio of effective to ohmic resistance maybe taken as 1.1. Determine the voltage regulation (in %) when the load is purely resistive.