Ver. AO
Last updated: October 2015
UNIVERSITY OF WATERLOO
ELECTRICAL & COMPUTER ENGINEERING DEPARTMENT
MTE 420
Lab 3: IGBT-Based Switch-Mode DC-to-DC Converters
_
IDENTIFICATION
Student
Last Name, First Name
userid
Student 1
Student 2
Group Number
1
REPOR
Guided by our design criteria and constraints. We looked where and how bike thefts happen. We looked
at what was already done. We looked at what technologies we have at hand. We looked at bike locks.
We generated all kinds of different ideas and concepts.
Ver. AO
Last updated: November 2015
UNIVERSITY OF WATERLOO
ELECTRICAL & COMPUTER ENGINEERING DEPARTMENT
MTE 420
Lab 4: DC motor speed control using Choppers
_
IDENTIFICATION
Student
Last Name, First Name
Userid
Student 1
Student 2
Group Number
1
REPORT
1
MTE 203 ADVANCED CALCULUS (FALL 2013) 1
TUTORIAL 3 (solutions)
Problem 1:
Find the arc length parameterization of
() = () + ()
from = 0. Then calculate the equation of curvature for the curve.
Solution:
To parameterize a curve by arc length, the procedure
MTE 203 ADVANCED CALCULUS (FALL 2013) 1
TUTORIAL 5 (Solutions)
Problem 2:
Find the local maximum and minimum values and saddle points of
(, ) = 4 + 4 4 + 1
Solution:
We first locate the critical points.
= 4 3 4
= 4 3 4
Setting the partials equal to 0, w
MTE 203 ADVANCED CALCULUS (FALL 2013) 1
TUTORIAL 1 (Solutions)
PROBLEM 1
Find vector, parametric, and symmetric (if possible) equations for the straight line
through the point of intersection of the lines:
x 1 y 4 z 2
x 1 y 4 z 2
and
2
3
5
6
3
4
And paral
MTE 203 ADVANCED CALCULUS
Fall 2013
ASSIGNMENT 9 SOLUTION
Problem 1 : Surface Integrals
Evaluate the surface integral:
a.
where is that part of
Remember that for
Final Answer:
,
,
=
= 1 +
inside
+
+
= 4.
.
!
b. Solve the flux integral
(
# & + ' *
+
MTE 203 ADVANCED CALCULUS
Fall 2013
ASSIGNMENT 8 SOLUTION
Problem 1 : Line Integrals over Scalar Fields.
a. Evaluate
sin
where the curve
[0,2 ]. Recall
Hint: sin " # =
=
"$%&'(
#
Final Answer: 2
+
.
Solution:
sin
=
+
b. Evaluate
$
= cos ,
is describe
MTE 203 ADVANCED CALCULUS
Fall 2013
HOMEWORK 2 - Solution
PROBLEM 1
I know I didnt cover problems like this in class, the idea is to have you think of domain in range
for functions of two variables x,y. So for z = f(x,y), your domain is now the input (x,y
MTE 203 ADVANCED CALCULUS
Fall 2013
HOMEWORK 5 - SOLUTIONS
Problem 1
a. Use the chain rule (and not direct substitution) and find the following derivatives:
1.
ln
2 ,
sin ,
cos , Find
.
2.
arctan 2
,
,
ln , Find
and
b. Write out the chain rule for the 1s
MTE 203 ADVANCED CALCULUS
Fall 2013
HOMEWORK 6 SOLUTION
Problem 1
Tougher Lagrange Multipliers Problem: 3 variables with two constraints (of 3 variables).
Find the maximum and minimum volumes of a rectangular box whose surface area is 1500
and whose tota
MTE 203 Advanced Calculus Fall 2013
Homework 1
Problem 1:
Find the point in the plane that is equidistance from the points (1,3,2) and (2,4,5) and
has a coordinate equal to three times its coordinate.
Problem 2:
Show that the distance from a point ( , , )
MTE 203 ADVANCED CALCULUS
Fall 2013
HOMEWORK 3 - SOLUTION
Problem 1
A particle moves along the curve
= ,
= 3 + 2 , 0 5 in the
(where is time). Is there any point at which its velocity is parallel to its displacement?
plane
Velocity and displacement will b
University of Waterloo
MTE320 - Spring 2014
Prof. Ehab El-Saadany
Assignment 5
Power Electronics
1- In the half-wave rectifier circuit in Fig. 1, the primary input voltage is 120 V at 60 Hz, the
transformer has a turns ration of n = 2, and the battery vol
University of Waterloo
ME 320 - Spring 2014
Prof. Ehab El-Saadany
Assignment 3
Single Phase Transformer
(Solution)
1. A transformer has 400 primary turns and 800 secondary turns. The net iron cross sectional area of
the core is 40 cm2. If the primary wind
Magnetic Circuits and Transformers
Electric machines and transformers have electric circuits and magnetic circuits interlinked
through the medium of magnetic flux. Electric current flow through the electric circuits,
which are made up of windings. On the
Single-Phase Transformers
It should be mentioned here that the electric power is generated at voltage in the range of the 11-30KV.
Transmitting a given amount of power requires a fixed product of voltage and current. Thus the higher
the voltage, the lower
University of Waterloo
MTE320 - Spring 2014
Prof. Ehab El-Saadany
Extra Problems
1- A single-phase power system is shown in Figure P3-1. The power source feeds a 100-kVA
14/2.4-kV transformer through a feeder impedance of 38.2 + j140 . The transformers
eq
University of Waterloo
MTE320 - Spring 2014
Prof. Ehab El-Saadany
Assignment 2
Magnetic Circuits
Solution
1. A 100 turns coil is wounded on a ring has a 3 cm radius as shown in the figure below. The
current through the coil is 10 A. the magnetic field flu
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Solid State Devices Speed Control
MTE 320
Spring 2012
E.F. EL-Saadany
Solid State Devices Speed Control of DC Motors
1. Basics of DC Motors Speed Control
Since E a Vt I a Ra and E a K a m , Therefore, m
Vt I a Ra
.
K a
Practically, speed control of DC mo
MTE320 Spring 2014
Due date Sunday, July 27, 2014
MTE 320
Quiz #3 DC Motors and Speed Control
A 220 V separately excited dc motor supplying rated torque load of 38 N.m at armature
current of 20 A. Armature resistance is 1 and armature inductance is 5 mH.