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Introduction
Introduction
Wm Ted Evans
EET 4350 – Electric Power Systems
• Syllabus
• Personal Intro
• The Books – concerned primarily with the
study of devices that convert electrical energy
into mechanical energy or the reverse.
My Electro-Magnetic Experience: (1967-1971)
Course in Maxwell’s Equations (Hayt)
Course in Wave Guides
Course in Antenna Theory
Course in Motors
Course in Quantum Mechanics
Course in Electrical Properties of Materials
Not in my Experience:
Course in Power Transmission
This Course:
Maxwell’s Equations and AC Review 25%
Motors
50%
Power Conversion
25%
Electrical Engineering Technology Curriculum – Full Time
Electrical Engineering Technology Curriculum – Full Time
Effective Starting Fall 2011
Mechanical Concentration - Effective Starting Fall 2014
FRESHMAN
FRESHMAN
15
ENGT-1000
Intro to
Eng. Tech[1]
ENGL-1110
College
Composition I [3]
MATH-1330
Trigonometry
[3]
EET-1010
Resistive
Circuits [4]
CHEM-1230
General
Chemistry I [4]
15
ENGT-1000
Intro to
Eng. Tech[1]
ENGL-1110
College
Composition I [3]
MATH-1330
Trigonometry
[3]
EET-1010
Resistive
Circuits [4]
CHEM-1230
General
Chemistry I [4]
17
Social Science
Elective
[3]
ENGL-2950
Science & Tech.
Report Writing[3]
EET-1410
Electrical
Drafting [3]
EET-1020
Reactive
Circuits [4]
EET-2210
Digital Logic
Fundamentals[4]
17
Social Science
Elective
[3]
ENGL-2950
Science & Tech.
Report Writing[3]
EET-1410
Electrical
Drafting [3]
EET-1020
Reactive
Circuits [4]
EET-2210
Digital Logic
Fundamentals[4]
MATH-2450
Technical
Calculus I [4]
PHYS 2010
Tech Physics I
[4]
EET-2010
Electronic
Principles [4]
CSET-2200
PC & Industrial
Networks [4]
MET 2100
Engr. Mechanics:
Statics [3]
MATH-2460
Technical
Calculus II [4]
PHYS-2020
Tech Physics II
[4]
EET-2020
Electronic Device
Applications [4]
18
ENGT-3010
Applied Statistics
and DOE [4]
ENGT-3020
Applied Eng.
Mathematics [3]
EET-3150
C Programming
[4]
EET-2410
Programmable
Control Fund[4]
16
Humanities/
Multicultural
Elective [3]
EET-3250
Network
Analysis [4]
EET-3350
Digital Systems
Design [4]
MET-2210
Technical
SOPHOMORE
16
16
SOPHOMORE
MATH-2450
Technical
Calculus I [4]
PHYS 2010
Tech Physics I
[4]
EET-2010
Electronic
Principles [4]
EET-2230
Assembly
Language [4]
16
MATH-2460
Technical
Calculus II [4]
PHYS-2020
Tech Physics II
[4]
EET-2020
Electronic Device
Applications [4]
CSET-2200
PC & Industrial
Networks [4]
15
JUNIOR
JUNIOR
JUNIOR
15
ENGT-3010
Applied Statistics
and DOE [4]
ENGT-3020
Applied Eng.
Mathematics [3]
EET-3150
C Programming
[4]
EET-2410
Programmable
Control Fund[4]
18
Multicultural
Elective
[3]
EET-3250
Network
Analysis [4]
EET-3350
Digital Systems
Design [4]
EET-4550
Programmable
Control Appl [4]
Communications
Elective
[3]
Humanities/
Multicultural
Elective [3]
EET-4150
Analog Systems
Design [4]
EET-4250
Microcomputer
Architecture [4]
EET-4350
Electric Power
Systems [4]
Humanities
Elective
[3]
SENIOR
18
13
Math 2450
SENIOR
Professional
Development
Elective [3]
EET-4450
Auto Control
Systems [4]
128 Semester Hours Total
ENGT-4050
Sr Technology
Capstone [3]
Social Science
Elective
[3]
15
16
AMF 2/20/11
Communications
Elective
[3]
Phys 2020
MET 2050
Phys 2010
Mechanics[4]
MET-2120
Strength of
Materials [4]
Professional
Development
Elective [3]
EET-4450
Auto Control
Systems [4]
Fluid & Hudraulic
Thermodynamics[4]
ENGT 2000
Professional
Development [1]
128 Semester Hours Total
ENGT-4050
Sr Technology
Capstone [3]
EET-4350
Electric Power
Systems [4]
Humanities
Elective
[3]
Social Science
Elective
[3]
Multicultural
Elective
[3]
WTE 4/3/13
Basic Electromagnetic Concepts
Maxwell’s Equations
https://www.youtube.com/watch?v=yINtzw63Knc
• Integral form
Gauss’ law for electricity
𝑞
𝐸 ∙𝑑𝐴 =
𝜖0
Gauss’ law for magnetism
𝐵 ∙ 𝑑𝐴 = 0
• Integral form
Faraday’s law of induction
𝜕Φ𝐵
𝐸 ∙ 𝑑𝑙 = −
𝜕𝑡
Ampere’s law
𝜕ΦB
𝐵 ∙ 𝑑𝑙 = 𝜇0 𝐼 + 𝜇0 𝜖0
𝜕𝑡
• Differential form
Gauss’ law for electricity
𝜌
𝛻∙𝐸 =
𝜀0
Gauss’ law for magnetism
𝛻 ∙ 𝐵 =0
• Differential form
Faraday’s law of induction
𝜕𝐵
𝛻×𝐸 =
𝜕𝑡
Ampere’s law
𝐽
1 𝜕𝐸
𝛻×𝐵 =
+ 2
2
𝜀0 𝑐
𝑐 𝜕𝑡
where:
𝑐2
1
=
𝜇0 𝜖0
Gauss’ law for electricity:
Electric charge produces an electric field, and the flux of that
field passing through any closed surface is proportional to
the total charge contained within that surface.
Gauss’ law for magnetism:
The total magnetic flux passing through any closed surface is zero.
Faraday’s law of induction:
Changing magnetic flux through a surface induces an emf in
any boundary path of that surface, and a changing magnetic
field induces a circulating electric field.
Ampere’s law:
An electric current or a changing electric flux through a
surface produces a circulating magnetic field around any path
that bounds that surface.
Finding the RMS Signal
Finding the RMS Voltage:
+
_
10 V
Voltage Designation
Effective Value (RMS)
Find the RMS and average values of the waveform shown below:
6.53 A, 6A
For the voltage waveform below determine the rms value:
2
1
-2
2
3
4
5
6ms
Getting Ready
for Lab 1
https://www.youtube.com/watch?v=1fo73VwgEEE
Laboratory Exercise 1 - Motor Control
Procedure
•Redraw the following motor starter circuit with either AutoCADD or Visio or
other drawing package available to you.
•Add numbers to the drawing signifying wire numbers.
L1
L2
Stop PB
M1
Start PB
M1
Motor
Jog-F
OL
• Remove the coil from the starter and find and identify the contactors. If
possible, remove one of the contactors and show to the instructor.
• With sticky-notes, identify each of the following:
power leads
overloads
overload contact
contactor
coil
auxiliary contact (aux contact)
motor leads (T leads)
• Re-install the coil and wire the circuit using wire provided. Tag each wire with
either a sticky label or other means using the numbers assigned above.
• Have the circuit checked by the instructor. Do not attempt to hook up to any
available voltage. This circuit will be checked without power.
• Question: Why do contactors become pitted and need to be replaced?
Phasors
Complex Numbers and Phasors
Then A = C and B = D
Properties of Complex Numbers:
Find answer in both rectangular and polar format
150 + 𝑗230
=
25 − 𝑗2
(50 + 𝑗20)(45 − 𝑗50)
=
2 − 𝑗5
Electric Field Parameters:
Resistance
Phasor
Description
Inductor (L)
Capacitance
Impedance
Electrical Power Equations
Power of a Single Phase Source
Real Factor
Reactive Power
Complex Power
(total power)
Power Factor, Power Factor Angle
Effects of the Power Factor:
1.
2.
3.
4.
5.
6.
7.
Higher generator (I2R)
Larger generator
Higher Cable Losses
Larger diameter of cable
Larger transformer losses
Larger size of Transformer
The lower the voltage across the load (VL)
Calculation of Penalty:
1.
They charge for kVA regardless of phase angle
2.
They charge for kVA registered in conjunction with phase angle
above given magnitude
Power-Factor Improvement:
Harmonics:
Increasing device’s power losses and contribute to over-heating
Modify the voltage waveform
Overload circuits
Set up harmful resonant conditions
Induce voltages that may cause 5V processors to malfunction
Theorems:
Superposition
Thevenin