EEL 3216 Introduction to Power Systems
Homework # 1
CHAPTER 1.8 and 2
1. In the 60Hz circuit shown in Figure 1, VS = 240.0V 30 and IS = 35 A 15.
R1 = 2.5
L1 = 0.015 H
a) Determine the phasor currents, I1 and I2, and the impedance Z2.
b) Calculate the app
AES-CCMP
The encryption protocol standard for WPA2.
Bluejacking
An attack that sends unsolicited messages to Bluetooth-enabled devices.
Bluesnarfing
An attack that accesses unauthorized information from a wireless device through a Bluetooth
connection, of
EEL 3216 Introduction to Power Systems
Homework # 11 SOLUTIONS
Problem from book 7-5, 7-7, 7-11 as shown below.
7-5
Attention: this solution, as provided by the author of the book, is inconsistent with the text of the
book. The core losses are supplied by
Note on original Test 1 (grading)
In group A-Q2-c only the base impedance and base current for the
transmission line was requested. However, the test was graded (for
both groups) with group B-Q2-c in mind Calculate the respective base
impedances and base
Question 1A - Solution
The stator of 3-phase, 2-pole AC machine produces a magnetic field
rotating with 1800 rpm and a constant magnitude of 0.75 T.
a) The electrical frequency in a 2-pole machine equals the mechanical
frequency: here f = 30 Hz ( = 188.5
EEL 3216 TEST # 3, 12-02-2005
Solutions
Question 1
A 208-V four-pole 60-Hz Y-connected induction motor has the following parameters:
Armature resistance 0.22 , stator leakage reactance 0.43 , magnetizing reactance 15 , rotor
resistance 0.127 and rotor lea
EEL 3216 Introduction to Power Systems
Homework # 1
SOLUTIONS
1. In the 60Hz circuit shown in Figure 1, VS = 240.0V 30 and I1 = 38.8A -36.2.
R1 = 2.5
L1 = 0.015 H
a) Determine the phasor currents, IS and I2, and the impedance Z2.
b) Calculate the apparen
EEL 3216 Introduction to Power Systems
Homework # 2
SOLUTIONS
1. A three phase wye-connected unbalanced load is supplied by a balanced three-phase
delta connected source. The source voltages and load impedances are:
Vab = 13.2 kV 90
Vbc = 13.2 kV 210
Vca
EEL 3216 Introduction to Power Systems
Homework # 3
Solutions
CHAPTER 3
(Problems 3-1, 3-2, 3-3, 3-4, 3-6, 3-7, 3-8, pp 154-157 in Textbook)
1. The secondary winding of a transformer has a terminal voltage of
vs(t) = 282.8 sin 377t V. The turns ratio of t
EEL 3216 Introduction to Power Systems
Homework # 3
CHAPTER 3
1. (Problem 3-10 in Textbook)
2. (Problem 3-22 in Textbook)
3. In a certain single-phase system the per unit values of the impedance, current, voltage,
and apparent power are:
Z = 0.65 pu I = 1
EEL 3216 Introduction to Power Systems
Homework # 4
SOLUTIONS
1. A Y-connected bank of three identical 100-kVA, 7967/480-V transformers is supplied
with power directly from a large constant-voltage bus. In the short-circuit test, the
recorded values on th
EEL 3216 Introduction to Power Systems
Homework # 5, SOLUTIONS
4-2. A three-phase four-pole winding is installed in 12 slots on a stator. There are 40
turns of wire in each slot of the windings. All coils in each phase are connected in
series, and the thr
EEL 3135 Signals and Linear Systems Analysis
Class Activity 13
Name: _ Last 4 Univ ID: _
This activity covers fundamental concepts from material found in Lecture 13. Though you do not
have to submit this assignment for a grade, you are strongly encouraged
EEL 3135 Signals and Linear Systems Analysis
Class Activity 11
Name: _ Last 4 Univ ID: _
This activity covers fundamental concepts from material found in Lecture 11. Though you do not
have to submit this assignment for a grade, you are strongly encouraged
EEL 3216 Introduction to Power Systems
Homework # 9
Problems from book 9-6, 9-11, and 9-15 as shown below.
Problem 9-6 refers to a single-phase, 8 kV, 50 Hz, 50 km long transmission line consisting of two
aluminum conductors with a 3 cm diameter separated
EEL 3216 Introduction to Power Systems
Homework # 8
A balanced 3-phase impedance type load is rated 3 MVA at 4.16 kV, with a lagging
power factor of 0.75. It is supplied by a generator via a 2 km long overhead transmission
line. The GMD of the conductors
Power Flow in a SM - Generator
Pout
3V I A cos( )
Pout
Reactive Qout
power
Note: is the phase angle
between armature voltage V and
armature current IA. It is NOT the
angle between VT and IL!
Qout
3 VT I L cos( )
3V I A sin( )
3 VT I L sin( )
Lecture 13
Fu
Magnetomotive Force and Flux
Distribution
The magnetic field
used to induce
sinusoidal voltages
(in the stator) has to
be distributed
sinusoidal along the
circumference of the
stator/rotor (air gap)
Snapshot of one
instantaneous
value in time
This spatial
T-Line Equivalent Circuits
Three general models for equivalent transmission
line circuits
Choice influenced by the line length, type (cable or
overhead line), and operating voltage level
Choice based on the analysis (e.g., short circuit or
voltage drop)
M
EEL 3216 Introduction to Power Systems
Homework # 2
CHAPTER 1.8 and 2
1. A three phase wye-connected unbalanced load is supplied by a balanced three-phase
delta connected source. The three source voltages and two of the line currents are:
Vab = 13.2 kV 90
EEL 3216 Introduction to Power Systems
Homework # 3
CHAPTER 3
(Problems 3-1, 3-2, 3-3, 3-4, 3-6, 3-7, 3-8, pp 154-157 in Textbook)
1. The secondary winding of a transformer has a terminal voltage of
vs(t) = 282.8 sin 377t V. The turns ratio of the transfo
Life Long Learning
Professional development: seminars, workshops, conferences,
summer courses, PE license
Literature resources
Reference books, i.e. McGraw Hill Standard Handbook for Electrical
Engineers
Magazines, i.e. IEEE Power & Energy, CIGRE Electra
Induced Voltage in Stator Coil P-Poles
For a P-pole machine the flux per pole remains the same
(integrating d =rlBmcos(P/2 )d over one pole pitch - /P to + /P )
2rlBM
The electrical frequency becomes
P
2
el
m
Therefore, the induced voltage per pole-pair (
EEL 3216 Introduction to Power Systems
Homework # 1
SOLUTIONS
1. In the 60Hz circuit shown in Figure 1, VS = 240.0V
R1 = 2.5
30 and I1 = 38.8A
-36.2.
L1 = 0.015 H
a) Determine the phasor currents, IS and I2, and the impedance Z2.
b) Calculate the apparent