Chapter 5: Synchronous Generators
5-1. At a location in Europe, it is necessary to supply 300 kW of 60-Hz power. The only power sources available operate at 50
Hz. It is decided to generate the power by means of a motor-generator set consisting of a synch
Department of Electrical Engineering
Indian Institute of Technology Madras
EC 2203: Electrical Machines
Tutorial Sheet No.5
Date: 03-04-2013
1. A 2300-V, 1000-kVA 0.8-PF-lagging, 50-Hz, two-pole, Y-connected synchronous generator
has a synchronous reactan
Induction machine tutorial sheet
1. A 230-V, three-phase, two-pole, 50-Hz induction motor is running at a slip of 4 percent.
Find:
(a) The speed of the magnetic fields in revolutions per minute
(b) The speed of the rotor in revolutions per minute
(c) The
Fundamentals of electric machines
1. A simple loop is rotating in a uniform magnetic field have the following
characteristics:
B = 0. 5 . T,
r = 0. 1 m,
l = 0. 5 m
= 103 rad/s
(a) Calculate the voltage induced in this rotating loop.
(b) Suppose that a 5
Lecture Notes
ELEC A6
Dr. Ramadan El-Shatshat
Induction Machines
5/2/2007
Elec A6 Induction Motors
1
INDUCTION MOTORS
General
Single phase induction motor
The induction machine is used as a
motor and as a generator. However,
it is most frequently used as
Introduction to AC Machines
Dr. Suad Ibrahim Shahl
ELECTRICAL MACHINES II
Lecturer: Dr. Suad Ibrahim Shahl
Syllabus
I.
II.
III.
IV.
V.
VI.
VII.
Introduction to AC Machine
Synchronous Generators
Synchronous Motors
Three-Phase Induction Machines
Three-Phase
EE 178 Lecture Notes 0
Course Introduction
About EE178
About Probability
Course Goals
Course Topics
Lecture Notes
EE 178: Course Introduction
Page 0 1
EE 178
EE 178 provides an introduction to probabilistic system analysis:
Basic probability theory
Som
EC 2203: Electro-Mechanical Energy Conversion
Basic Concepts:
Electric circuits: Phasors, impedance, AC single phase, AC three-phase, star
connection, delta connection.
Magnetic circuits: Faradays law of induction, Lenzs law, Amperes law, Biot-Svats
law,
Lecture Notes
ELE-A6
DC Machine
3/23/2007
ELEC A6 DC Machine
1
DIRECT CURRENT (DC)
MACHINES Fundamentals
Generator action: An emf (voltage) is induced in a
conductor if it moves through a magnetic field.
Motor action: A force is induced in a conductor t
1. Consider the volume charge distributed uniformly with density 0 C / m 3 between
the planes z = a and z = + a (a slab infinitely extended in x-y plane). Using
Coulombs law of electrostatics, show that
r
H
( 0 a / 0 )a z V / m
r
E = ( 0 z / 0 )a z V / m
Tutorial 8 solutions
April 2, 2013
solution 1:
Ei = Eo (ax az ) cos 6 108 t
2 (x + z )
Thus,
1
1
i = 2 ( 2 ax + 2 az ) the direction of which is consistent with the angle of
o
incidence of 45 .
so, sin2 = 1.5o o sin45o
o
2 = 35
(o /1.5)cos35o o cos45o
Tutorial 7 Solutions
March 29, 2013
1.
(a)The amplitude of both the waves in individual axis is E 0 . The resultant
amplitude of both the waves are 2E 0 .
(b)Em 1 is right circular and em 2 left circular.
(c)If both the waves are superimposed then the res
EC2204
Tutorial 6 solutions
March 19, 2013
Solution 1.
F1 = 3ax cos(2 106 t + 300 )
F2 = az cos(2 106 t + 300 )
1
F3 = 2 ax + 3ay + 23 az cos(2 106 t 60)
1. Polarization of F1 + F2
Here the magnitude of F1 &F2 vectors are not same and they are inphase, so
EC2204: Tutorial 5
Plane Waves and Polarization
1. Two waves y1 (t) and y2 (t) have identical amplitudes, oscillate with the same frequency, but y2 (t) leads
y1 (t) by a phase angle of 600 . If y1 (t) = 4cos 2 103 t , nd y2 (t) and plot both y1 (t) and y2
Tutorial 1 Solution
Que. 1.
Type of Transmission Line:
a)
b)
c)
d)
e)
f)
Co axial wire.
Optical Fiber.
Micro strip line.
Twisted wire line.
Parallel two wire transmission line.
HDMI Cable.
Que. 2 & 3.
Refer to 16-01-2013 class notes.
Que. 4 .
a) Peak to p
Tutorial 9
EC2204
April 18, 2013
Q1- You have derived the eld components for a rectangular waveguide, starting from the wave equations. These results can be
used to write out the eld components for a planar waveguide with the condition that one of the dim
Tutorial 9 Sol.
Ans 1(a).
Figure 1:
Figure shows a rectangular waveguide and its limiting geometry for b>.
Substituting this in Dispersion relation for rectangular waveguide we get :
2 = 2 m 2 .
a
and h=m/a
TE Mode :
Equation comes to be :
Hz =D cos (mx/
Tutorial 8
Q1- A uniform plane wave having the electric eld
Ei = Eo (ax az ) cos 6 108 t
2 (x + z )
is incident on the interface between free space and a dielectric medium at an angle of incidence of 45o with = 1.5
and = o . Obtain the expression for ele
Tutorial 6
March 16, 2013
1. At t = 0, the electric elds associated with two EM waves are dened by E1 = E0 (ax j ay ) ejkz
jkz respectively: (a) Find the amplitudes of the elds separately.
and E2 = E0 (ax + j ay ) e
(b) Identify the polarization of both t
Tutorial 6
ec2204
Q1- Three sinusoidally time-varying linearly polarized vector elds are given at a point by
F1 = 3ax cos 2 106 t + 30o
F2 = az cos 2 106 t + 30o
F3 = 1 ax + 3ay + 23 az cos 2 106 t 60o
2
Determine the polarizations of the following: (a) F
EC2204: Tutorial 5
Solutions
March 20, 2013
1
solution
given,
y1 (t) = 4cos 2 103 t then y2 (t) = 4cos 2 103 t + 600
y1, y2 are shown in gure 1
2
solution
given, An elliptically polarized wave E = Ex cos(t)ax + Ey sin(t)ay (with
2
phase shift) Adding and
Tutorial 4 solutions
1) Consider a Gaussian surface of the form of a cuboid, symmetrical about XY Plane.
Let the cuboid extend from z to z and the area in the top and bottom be A.
As the charge distribution is of infinite extend in X and Y direction,
the
EC 2204
1.
The length of a microstrip trace line connecting
two components on a chip is 50 cm. A sinusoidal
signal of frequency 1 GHz is supplied to the trace
at one end. Assuming the velocity of propagation
of the signal is 2e8 m/s,
a)
The transmission l