Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
1.7k views
in General by (101k points)
closed by

An 8-pole, 50 Hz, three-phase, slip-ring induction motor has an effective rotor resistance of 0.08 Ω per phase. Its speed at maximum torque is 650 RPM. The additional resistance per phase that must be inserted in the rotor to achieve maximum torque at start is ____________ Ω. (Round off to 2 decimal places.)

Neglect magnetizing current and stator leakage impedance. Consider equivalent circuit parameters referred to stator.

1 Answer

0 votes
by (102k points)
selected by
 
Best answer

Given:

Pole (P) = 8

Frequency (f) = 50 Hz

Rotor resistance (r2) = 0.08 Ω 

Rotor speed at maximum torque = 650 RPM

Let's consider the slip at maximum torque as sm,

Slip at maximum torque is given by

\(s_m = \dfrac {r_2}{x_2}\)

Consider additional rotor resistance to be added = r2'

Rotor reactance = x2

Synchronous speed Ns = 120f/P = 120 × 50 / 8 = 750 RPM

As the speed of the motor at maximum toque condition is 650 RPM

Slip at maximum torque is given by

\(s_m = \dfrac {N_s - N_r}{N_s} =\dfrac {750-650}{750}= 0.1333\)

At maximum torque

\(s_m =\dfrac {r_2}{x_2} ⇒ 0.1333 = \dfrac {0.08}{x_2}\)

x2 = 0.6 Ω 

To get the maximum torque at starting the slip at maximum torque should be equal to slip at starting (s=1).

⇒ \(1 =\dfrac {{r_2+r_2'}}{ x_2}\)

x2 = r2 + r2'

0.6 = 0.08 + r2'

r2' = 0.52 Ω 

∴ The value of additional rotor resistance to be added (r2') at the time of starting is 0.52 Ω.

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...