Winter Semester, 2011
ECSE 3004-001 (CRN 320) - Winter 2011
Signals and Systems 2
McGill University
Department of Electrical and Computer Engineering
Instructor:
Prof. Richard Rose
Office: McConnell Engineering Building, Room 755
Phone: (514) 398-1749
Ema

m
e
C)
be
ded
ll
m
substituted. It is not possible to
reproduce the wordmark with
standard printing fonts.
If the word McGill appears
alone, that is, if it is not part of
a text, it must be printed as the
wordmark.
April 2013
Final Examination
University

m
e
C)
be
ded
ll
m
substituted. It is not possible to
reproduce the wordmark with
standard printing fonts.
If the word McGill appears
alone, that is, if it is not part of
a text, it must be printed as the
wordmark.
April 2013
Final Examination
University

McGill University ECSE 361 Power Engineering
Tutorial Questions Winter 2016, Week 4
ECSE 361 Power Engineering Winter 2013
Student Name:
McGill ID:
Midterm Examination
Answer all four questions in the answer booklets showing all your work.
1. Consider the

Tutorial Solutions Week 10
1. The table is completed as follows, where we recall the relationship between the
electrical supply frequency fs , the number of poles P and the synchronous speed in
rpm nr : nr = 60fs /(P/2).
fs (Hz)
nr (rpm)
P
60
300
24
50
50

Tutorial Solutions Week 9
1. (a) By inspection, the inductance of this system is given by
0 SN 2
.
L() =
2
For singly-excited, linear magnetic devices like this one, the force is expressed
simply as
F =
1 dL() 2
i.
2 d
Therefore, the force is found to be

McGill University ECSE 361 Power Engineering
Tutorial Questions Fall 2015, Week 12
Student Name:
McGill ID:
1. A three-phase, Y-connected, 2300 V, 100 kVA, 60 Hz, 6-pole synchronous generator has
a synchronous reactance of 64.4 . Neglect all losses. The g

Course ECSE-361-POWER SYSTEMS ANALYSIS
MIDTERM-1, Prof. Anthony J. Rodolakis,
Wednesday February 4th 2009, 8.35-9.25am
Closed Book test, 1 hand-written crib-sheet allowed +calculator
Answer all questions
Problem#1
1) Since
R core
l
0r A
2
we obtain L cor

McGill University
ECSE 361 Power EngineeringFall 2015
Assignment 3
Electromagnetism, Faradays Law & Transformers
1. Consider the magnetic device shown in Figure 1. This device is a N = 1500-turn
winding wound around a torus with uniform cross-sectional ar

ECSE 361 Power EngineeringWinter 2016
Class Test 2 Solutions
1. [50%] A single-phase 50-KVA 2400/240-V 60-Hz distribution transformer is used as
a step-down transformer at the load end of a 2400-V feeder whose series impedance
Zl = 1.0 + j2.0. The equival

m
e
C)
be
ded
ll
m
substituted. It is not possible to
reproduce the wordmark with
standard printing fonts.
If the word McGill appears
alone, that is, if it is not part of
a text, it must be printed as the
wordmark.
December 2013
Final Examination
Universi

Tutorial Solutions Week 1
1. Use the following identity: cos() = sin( + /2). Then, we have:
60
100 j/4
e
+ ej/4 = 82.46 14.04 V
V=
2
2
2. First from v(t) = 141.4 cos t, we obtain the phasor V = 141.4
0 = 100 0 . Since
2
the resistor and the inductor are

ECSE 361 Power Engineering Fall 2015
Class Test 1 September 24, 2015; 12:3513:25
Student Name:
McGill ID:
Answer directly on the paper in the space provided, showing all your work.
1. [50%] A single-phase feeder consists of a 60 Hz ac voltage source, Vs c

McGill University ECSE 361 Power Engineering
Tutorial Questions Winter 2016, Week 6
Student Name:
McGill ID:
1. The iron core of a square magnetic circuit has a mean length of 0.4 m, and has a cross
section of 10 cm2 . The relative permeability of the cor

DEPARTMENT OF ELECTRICAL AND COMPUTING ENGINEERING
FINAL EXAMINATION
ELECTROMECHANICAL ENERGY CONVERSION
ECSE-361B
Examiner: Professor B.T.Ooi 3 27 cfw_-
Associate Examiner: Professor F.D.Galiana f , a Date: April 26, 2007
Time: AM (3 hours)
INSTRUCTIONS:

ECSE 361 Power Engineering Fall 2015
Class Test 2 November 5, 2015; 12:3513:25
Student Name:
McGill ID:
Answer directly on the paper in the space provided, showing all your work.
1. (60%) A 60 Hz, 50 kVA, 14.4 kV/120 V single-phase transformer draws a pur

Tutorial Questions Week 13
1. (a) The air gap flux speed is the machines synchronous speed: ns = 6060/(6/2) =
1200 rpm.
(b) The stator flux rotates at synchronous speed ns = 1200 rpm.
(c) The air gap flux speed with respect to the rotor windings is nr = n

Tutorial Solutions Week 4
1. (a) We assume that VLab is the reference phasor which means it has an angle of
zero (in this case, it is specified in the question as well).
208 0
VLab
=
Van =
30 = 120 30 V
3 30
3
Therefore, for the other phases we have
Vbn

Tutorial Solutions Week 9
1. (a) From Faradays Law, we know that
d
d2
=
(L21 i1 + L22 i2 )
dt
dt
dL21 dx
=
i1
dx dt
N 2 0 kI dx
=
`
dt
e2 (t) =
where we used the fact that i1 (t) = I is constant, and i2 (t) = 0, as the second
winding is open circuited. If

Tutorial Solutions Week 12
1. From the statement of the problem, this is generator is grid connected, i.e. it is
feeding into a 2300 V, 60 Hz voltage source. Here, we shall work out the calculations
in SI units. However, you may well workout the calculati

ECSE 361 Power EngineeringWinter 2016
Class Test 2March 17, 2016; 10:3511:25am
Student Name:
McGill ID:
Answer directly on the paper in the space provided, showing all your work.
1. [50%] A single-phase 50-KVA 2400/240-V 60-Hz distribution transformer is

ECSE 361 Power EngineeringWinter 2016
Class Test 1January 28, 2016; 10:3511:25am
Student Name:
McGill ID:
Answer directly on the paper in the space provided, showing all your work.
1. [50%] The voltage v(t) = 678.8 cos(t + 45 ) V is applied to a load cons

Tutorial Solutions Week 3
0 = 120 0 V (assumed as reference) then Vab =208 30 ;
1. (a) Let Van = 208
3
Vbc = 208 90 . Since Ia is in phase with Vbc , Ia = 10 90 A.
ZY =
120 0
Van
=
= 12 90 = (0 + j12)
Ia
10 90
(b)
Ia
10
Iab = 30 = (90 + 30 ) = 5.774 60 A

McGill University
ECSE 361 Power EngineeringFall 2014
Assignment 2
The Per Unit System and Power Flow
1. A balanced three-phase load is rated at 10 kVA and 500 V. The device is operating
at 90% of its nominal voltage and at 100% of its rated line current.

McGill University ECSE 361 Power Engineering
Tutorial Questions Winter 2016, Week 9
Student Name:
McGill ID:
1. Bill Scrapyard is operating his crane to transfer cars from a junk pile into a press. His
crane is equipped with a powerful electromagnet which

McGill University ECSE 361 Power Engineering
Tutorial Questions Winter 2016, Week 11
Student Name:
McGill ID:
1. The stator iron of a round rotor three-phase, 60 Hz ac machine has 18 equidistant slots, i.e.
one every 20 of the stator iron. Both the rotor

McGill University ECSE 361 Power Engineering
Tutorial Questions Fall 2015, Week 10
Student Name:
McGill ID:
1. Complete the following table relating the stator current frequency, fs , the rotor mechanical speed, nm , in rpm and number of poles, P , of syn