DORDT COLLEGE ENGINEERING DEPARTMENT
INTRODUCTION TO POWER SYSTEM ANALYSIS -- EGR 360
Fall 2003
The course syllabus is available as an MS Word document.
Homework must conform to these standards.
PROBLEM SETS (Last update:
------------ 12/12 at 9:58 am)
Note 1) Homework must be ready for discussion in class on the
first listed due date. It must be turned in for a final grade on
the second listed due date.
Note 2) If a "#" follows the "returned" date, then the solution
key is posted on the cork board across the hall from room S233.
Solution keys are generally posted soon after the homework is
returned.
+===============================================================+
|PS|ASSIGNED| DUE |RETURNED| Problems assigned from Dorf and |
| #| / \ | Svoboda 5th unless otherwise noted.|
|==+=======+=======+=======+====================================|
| 1| 8/29 | 9/01 | | Read Sections 11.1 through 11.4 |
| | | 9/03 | 9/05#| Do P11.3-1, P11.3-5, |
| | | | | P11.4-2 part (b) only |
|--+-------+-------+-------+------------------------------------|
| 2| 9/01 | 9/03 | | Read Section 11.5 |
| | | 9/05 | 9/08#| P11.4-3, P11.5-1, P11.5-5 |
|--+-------+-------+-------+------------------------------------|
| 3| 9/03 | 9/05 | | Read Section 11.6 |
| | | 9/08 | 9/10#| P11.6-1 (Note: "Heating" implies |
| | | | | pure resistance.), P11.6-9 |
|--+-------+-------+-------+------------------------------------|
| 4| 9/05 | 9/08 | | Read Sections 11.7, 11.8 |
| | | 9/10 | 9/12#| Review Sections 11.1 through 11.4 |
| | | | | P11.3-7, P11.4-2 parts a and c only|
| | | | | Note: In part(a) the amplitude is |
| | | | | the "square root of three-fifths" |
| | | | | not the "square root of three over |
| | | | | five." Also, the correct answer is|
| | | | | "the (root of 7) over (five)," not |
| | | | | "the root of seven-fifths." |
| | | | | P11.7-4, P11.8-2 and prove your |
| | | | | answer. |
|--+-------+-------+-------+------------------------------------|
| 5| 9/08 | 9/10 | | Read 12.1, 12.2, 12.3, 12.4 |
| | | 9/12 | 9/15#| Do P12.3-1, P12.4-1, P11.4-4 part |
| | | | | (b) only. Hint: i(t) = |
| | | | | Hint: i(t) = 5 - 5 cos(___t) mA |
| | | | | Note: Answer in text is wrong. |
| | | | | The correct answer is 4.33 mA. |
| | | | | (Further note: The answer above |
| | | | | was changed from 6.85 mA on 9/12 |
| | | | | because it was still wrong!) |
|--+-------+-------+-------+------------------------------------|
| 6| 9/10 | 9/12 | | Read 12.5 |
| | | 9/15 | 9/17#| Do P11.4-5, P12.4-3, P12.5-1 |
|--+-------+-------+-------+------------------------------------|
| 7| 9/12 | 9/15 | | Read 12.6, and letter from Glover. |
| | | 9/17 | 9/19#| Start reading the section below on |
| | | | | "Research Paper" and the associated|
| | | | | linked web pages. |
| | | | | |
| | | | | Do P11.4-1a |
| | | | | |
| | | | | P11.8-7 Answers to one significant|
| | | | | figure are: 10 kohms, 3 mH, 1 mW. |
| | | | | Your answers must be to 3 sig figs.|
| | | | | |
| | | | | P12.6-1 There is a roundoff error |
| | | | | in the textbook's answer. Give |
| | | | | the correct answer to 4 sig figs. |
| | | | | |
|--+-------+-------+-------+------------------------------------|
| 8| 9/15 | 9/17 | | Read 12.7 |
| | | 9/19 | 9/22#| |
| | | | | Do P11.4-1b |
| | | | | |
| | | | | |
| | | | | P12.4-1 parts e and f only--as |
| | | | | shown below: |
| | | | | |
| | | | | e.) Find phasor line voltages Vab,|
| | | | | Vbc, and Vca. |
| | | | | |
| | | | | f.) Show the above phasor line |
| | | | | voltages, along with phasor |
| | | | | phase voltages Va, Vb, Vc on |
| | | | | a phasor diagram. |
| | | | | |
| | | | | P12.7-1 Insert the word |
| | | | | "magnitudes" in the last sentence |
| | | | | so that it reads, "Find the line |
| | | | | current magnitudes and . . ." |
| | | | | |
|--+-------+-------+-------+------------------------------------|
| 9| 9/17 | 9/19 | | Read 12.8, 12.9 |
| | | 9/22 | 9/24#| Read also the URL below: |
| | | | http://www.tpub.com/neets/book3/7s.htm |
| | | | | |
| | | | | Do P11.4-4a, P12.8-6 |
| | | | | |
|--+-------+-------+-------+------------------------------------|
|10| 9/19 | 9/22 | | Read 12.12 (Optional, 12.10, 12.11)|
| | | 9/24 | 9/29#| Do DP12-3 on page 575. |
|--+-------+-------+-------+------------------------------------|
| | The following assignments are in Granger & Stevenson |
| | unless otherwise noted |
|--+-------+-------+-------+------------------------------------|
|11| 9/22 | 9/24 | | Scan Ch 1 Sections 1.1 thru 1.9 |
| | | 9/29 | 10/01#| Do 1.7, 1.20 |
| | | | | (On Wed. 9/24 the 2nd due date was |
| | | | | changed from 9/26 to 9/29) |
|--+-------+-------+-------+------------------------------------|
| | --- | --- | --- | Note: class on Friday, 9/26 will be|
| | | | | cancelled -- Prof takes sick time. |
|--+-------+-------+-------+------------------------------------|
|12| 9/24 | 9/29 | | Read Sections 1.10, 1.11 |
| | | 10/01 | 10/06#| Do 1.22, 1.23 |
|--+-------+-------+-------+------------------------------------|
|13| 9/29 | 10/01 | | Read Sections 1.12, 1.13 |
| | | 10/06 | | Do 1.25, Draw the circuit in Fig. |
| | | | | 1.25 as a conventional schematic. |
|--+-------+-------+-------+------------------------------------|
|14| 10/01 | 10/06 | | Read 1.14, 1.15, Ch 2 thru 2.1 |
| | | 10/08 | 10/08#| Do 1.16, 1.17, 1.24, 2.1 Note: |
| | | | | 1.2 kV winding is primary. Hint: |
| | | | | Assume primary voltage is reference|
| | | | | phase. For the apparent power of |
| | | | | the load assume an arbitrary phase |
| | | | | angle, theta. |
|--+-------+-------+-------+------------------------------------|
|15| 10/06 | 10/08 | | Read 2.2, 2.3 |
| | | 10/13 | 10/15#| Do 2.2, 2.3, 2.6 |
|--+-------+-------+-------+------------------------------------|
| | 10/08 | --- | --- | Study for test on 10/10. See Below|
|--+-------+-------+-------+------------------------------------|
|16| 10/13 | 10/15 | | Read 2.4, 2.5 |
| | | 10/17 | 10/20#| Do 2.10 |
|--+-------+-------+-------+------------------------------------|
|17| 10/15 | 10/17 | | Read 2.6 |
| | | 10/20 | 10/22#| Do 2.11 |
|--+-------+-------+-------+------------------------------------|
|18| 10/17 | 10/20 | | Read 2.7, 2.8 |
| | | 10/22 | 10/31#| Do 2.19 |
| | | | | |
| | | | | |
| | | | | |
|--+-------+-------+-------+------------------------------------|
|19| 10/20 | 10/22 | | Read 2.9, 2.10 |
| | | 10/24 | 10/31#| Repeat Example 2.12 except change |
| | | | | the resitive load to 4 kW and |
| | | | | change the motor's subtransient |
| | | | | reactance to 30 percent. Then go |
| | | | | beyond the example by solving for |
| | | | | the Motor's starting current. |
| | | | | Assume that Em (shown in Fig. 2.20)|
| | | | | is zero. (The example is on page |
| | | | | 75 of the text.) |
|--+-------+-------+-------+------------------------------------|
|20| 10/22 | 10/24 | | Read 3.1, 3.2 |
| | | 10/27 | 10/31#| Do 3.1 |
|--+-------+-------+-------+------------------------------------|
|21| 10/24 | 10/27 | | Re-Read 3.2 |
| | | 10/31 | 11/03#| Do 3.2 |
| | | | | On 10/27 the final due date was |
| | | | | changed to 10/31 |
| | | | | |
|--+-------+-------+-------+------------------------------------|
|22| 10/29 | 10/31 | | Read 3.3 |
| | | 11/03 | 11/07#| Do 3.3 |
|--+-------+-------+-------+------------------------------------|
|23| 10/31 | 11/03 | | Read 3.4, 3.5 |
| | | 11/05 | 11/14#| Do 3.4 |
| | | | | Also, you may repeat Problem Set 19|
| | | | | (origanally assigned 10/20) and if |
| | | | | you get a better grade than you |
| | | | | previously did, the new grade will |
| | | | | replace the old grade in the grade |
| | | | | book. (No particular due date for |
| | | | | repeating PS #19.) |
|--+-------+-------+-------+------------------------------------|
|24| 11/03 | 11/05 | | Read 3.6 |
| | | 11/07 | 11/19#| Do 3.9. Change part (c) to read: |
| | | | | "Use results of part (b) to verify |
| | | | | Eq. (3.45). Use results of part |
| | | | | (a) and Eq. (3.6) to verify Eq. |
| | | | | (3.46). |
|--+-------+-------+-------+------------------------------------|
| | 11/05 | --- | --- | Download and install the |
| | | | | Power World Simulator and the |
| | | | | associated User's Guide (*.pdf) |
| | | | | Do The "Creating A New Case" |
| | | | | Tutorial in the user's guide, p435.|
| | | | | |
| | | | | Tip: Rather than accessing these |
| | | | | files online you might find it |
| | | | | faster to download them to your |
| | | | | G: drive and run them from there. |
| | | | | Right click the "Evaluation Version"
| | | | | on the download page and "Save |
| | | | | Target As..." to do that. Do the |
| | | | | same for the version 9.0 User's |
| | | | | guide. |
| | | | | |
| | | | | Optional: Browse the Power World |
| | | | | web pages and read a related |
| | | | | article in IEEE Spectrum. (IEEE |
| | | | | web acount needed to access the |
| | | | | IEEE Spectrum article. The link |
| | | | | above will direct you through a |
| | | | | login page and then directly to |
| | | | | the article. IEEE web accounts |
| | | | | are free to IEEE student members. |
| | | | | You should get one if you don't |
| | | | | have one.) |
|--+-------+-------+-------+------------------------------------|
|25| 11/07 | --- | --- | Read 3.7 |
| | | | | Simulate textbook example 2.12 in |
| | | | | Power World. Use the textbook's |
| | | | | numbers and duplicate the result. |
| | | | | |
| | | | | Students had trouble modeling the |
| | | | | three-winding transformer |
| | | | | |
| | | | | This assignment was cancelled on |
| | | | | 11/19. There will be no grades |
| | | | | given for this one--it won't count.|
| | | | | (Due dates were 11/10, 11/12) |
|--+-------+-------+-------+------------------------------------|
|26| 11/10 | 11/12 | | Read 3.8 |
| | | 11/14 | 11/19#| Do 3.11 |
|--+-------+-------+-------+------------------------------------|
|27| 11/12 | 11/14 | | Read 3.9, 4.1, 4.2, 4.3 |
| | | 11/17 | 11/19#| Do 4.2 |
|--+-------+-------+-------+------------------------------------|
|28| 11/14 | 11/17 | | Read 4.4, 4.5, 4.6 |
| | | 11/19 | 11/24#| Do 4.5 |
|--+-------+-------+-------+------------------------------------|
|29| 11/17 | 11/24 | | Read 4.7, 4.8 |
| | | 11/26 | 12/03#| Do 4.6 |
| | | | | Note: on 11/24 the due dates were |
| | | | | changed (they were 11/21 and 11/24)|
| | | | | |
|--+-------+-------+-------+------------------------------------|
|--| 11/19 | --- | --- | Study for test on Friday |
|--+-------+-------+-------+------------------------------------|
|30| 11/24 | 11/26 | | Read 4.9, 4.10, 4.11, 4.12 |
| | | 12/03 | 12/05#| Do 4.10, 4.14, 4.15 |
| | | | | Note: on 11/24 the due dates were |
| | | | | changed (they were 11/24 and 11/26)|
| | | | | Also, problem 4.15 was moved up |
| | | | | from the next assignment. |
|--+-------+-------+-------+------------------------------------|
|31| 11/26 | 12/03 | | Read 6.1, scan 6.2 thru 6.7 |
| | | 12/05 | 12/08#| In Dorf & Svoboda Read 17.3, 17.7 |
| | | | | giving attention to "transmission |
| | | | | parameters." |
| | | | | |
| | | | | Note Fig. 17.3-1 p781, compare to |
| | | | | Fig. 6.2 p195. Also note that|
| | | | | Grainger would label I2 as out|
| | | | | of the 2-port so that I2 does |
| | | | | not need to be negated in the |
| | | | | equations. |
| | | | | |
| | | | | Note Eq 17.7-9 p791, compare to |
| | | | | Eqs 6.35, 6.36, 6.37, p208. |
| | | | | |
| | | | | (On 12/2 at 4 PM more detail was |
| | | | | added to the explanation above.) |
| | | | | |
| | | | | Do P17.7-1 in Dorf & Svoboda |
| | | | | Do 6.1, 6.16 in Grainger |
| | | | | Selected answers to one sig. fig.: |
| | | | | 6.1 X = 0.6 ohms/mi R = 0.3 ohms/mi|
| | | | | at pf = 1 angle of Vs = 8 deg |
| | | | | at pf = 1 Regulation = 9% |
| | | | | 6.16 a) angle of Vs = 20 deg wrt Vr|
| | | | | b) |Is| = 600 A |
| | | | | |
|--+-------+-------+-------+------------------------------------|
|32| 12/03 | 12/05 | | Read 6.8 |
| | | 12/08 | 12/10#| Do 6.20 Assume f = 60 Hz, 3 phase |
| | | | | Selected answers to 1 sig. fig. |
| | | | | Original T-line, 500 MVA at 45 deg |
| | | | | a) W/ Osprey, 500 MW at 45 deg |
| | | | | b) W/ bundles, 700 MW at 45 deg |
| | | | | c) W/ Hi V, etc. 1000 MW at 45 deg |
| | | | | |
|--+-------+-------+-------+------------------------------------|
|33| 12/05 | 12/08 | | Scan Chapters 7 and 8 |
| | | 12/10 | 12/12#| Do either 8.8 or 9.14 |
| | | | | |
| | | | | For 8.8, in part (a) you may find |
| | | | | Zbus by inverting Ybus. |
| | | | | Selected answers |
| | | | | The last row of Zbus is: |
| | | | | 0.354j 0.333j 0.45j |
| | | | | Part b) |V3| = 0.933 |
| | | | | part c) Delta V3 = 0.092 |
| | | | | |
| | | | | |
| | | | | For 9.14 Note, in the Line Data, |
| | | | | Table 9.6, The shunt charging |
| | | | | suseptance (B) is V^2/Q where Q |
| | | | | is the charging MVAR, all in pu. |
| | | | | (All the data in the tables is |
| | | | | already in pu.) Use a system |
| | | | | Apparent power base of 100 MVA. |
| | | | | Selected Answer: |V4| = 0.99 pu. |
|--+-------+-------+-------+------------------------------------|
|34| 12/08 | --- | --- | Scan 9.1, 9.5, 9.6, 9.8 |
| | | | | Read 13.1, 13.2 |
| | | | | |
| | | | | Note: on 12/8 problems 13.1 and |
| | | | | 13.2 were deleted from this |
| | | | | assignment. |
| | | | | |
| | | | | Note: There is a typo in problem |
| | | | | 13.2. Change "80 MW" to "800 MW." |
| | | | | |
| | | | | Selected answer for 13.2: |
| | | | | Pg4 = 16 MW |
| | | | | |
| | | | | (On 12/2 problems 13.3, 13.4 were |
| | | | | deleted from this list of problem |
| | | | | sets. |
|--+-------+-------+-------+------------------------------------|
|--| 12/10 | --- | --- | Review for Final Exam |
+---------------------------------------------------------------+
TESTS (Last update:
----- 12/12 at 9:42 am)
Test #1 was given on Friday, 10/10. It will covered the text
sections listed above for problem sets 1 through 14 except it
did not cover anything in chapter 2 of Grainger & Stevenson.
The test was open book, open notes, a calculator was allowed
(ability to handle complex numbers with your calculator was
recommended). The test was handed back on 10/13.
Test #2 was given on Friday, November 21.
It will covered problem sets 15-26 and the associated text
sections (most of Chapter 2 and all of Chapter 3). The test was
open book, open notes. A calculator was allowed (ability to
handle complex numbers with your calculator is recommended.)
The test was handed back on 11/24.
The Final Exam is scheduled for Saturday, 12/13 at 3:30-5:30 PM
About 2/3 of the exam will cover problem sets 1-26. The other
1/3 will cover problem sets 27-33. The exam will be open book,
open notes. A calculator is recommended.
RESEARCH PAPER (Last update:
-------------- 11/03 at 11:11 am)
Assigned 9/12
Thesis, outline and annotated bibliography due 9/29
Due for peer grading Wednesday, 12/3
Final paper due on Friday, 12/5
The paper research paper must be on a topic (of your choice)
related to the history, operation, or the regulation of power
systems. You must complete it in steps, each step will be
graded.
The intermediate steps are worth (altogether) 35% of the paper's
over-all grade. The final version of the paper is worth 65%
of the paper's over-all grade. If after the thesis, outline, and
annotated bibliography is due you abandon that work and come up
with another unrelated thesis, the grade on the original thesis
and bibliography may be reduced to "F." (That work did not
contribute to your final paper.) On the other hand, some changes
in thesis are to be expected based on continuing research. Re-
wording or negating a thesis can be done with no penalty provided
that the paper continues to rely on most of the same sources.
Consult with Prof. De Boer if you wonder if a change will be
allowed.
First step: THESIS STATEMENT with OUTLINE and ANNOTATED
BIBLIOGRAPHY due 9/29, grading in queue
Do a literature search. Based on the literature search, write
a thesis statement and outline.
Document your sources of support for your thesis statement
with an annotated bibliography of the relevant literature that
you found. For each source, describe the essence of the
content and how you will use it in your paper. (E.g. "The
author believes that the Federal Energy Regulatory Commission
has not done its job properly. This supports point A1 in my
outline.")
Your annotated bibliography must include at least two peer-
reviewed sources and at least five sources in total. Prof. De
Boer has an annotated list of recommended sources available on
the Web at
http://www.dordt.edu/~ddeboer/ddb/dordtlit.htm
Second Step: WRITE 1st DRAFT OF THE PAPER
Due for peer grading Wednesday, 12/3
Due for grade Friday, 12/5
Write the paper in the style of "Analytical Writing" or in
the style of an "Essay of Argumentation" or as a "Position
Paper." All these types of writing are defined in Write
For College (WFC) by Sebranek, Kemper, and Meyer. See
sections 187, 189, 193, 198, 203, 207, 211, 216, 232, and 238
in particular. WFC will be the primary reference for matters
of grammar and usage, but note that the content on MLA and APA
documentation style are not relevant to this assignment (see
next paragraph). As an addendum to WFC, you should consult
Prof. De Boer's handout titled "Writing a Laboratory Report."
(Used in EGR 220. Available on request if you do not have a
copy.) In this handout, the section titled "AN ENGINEERING
REPORT & IMRAD" is not relevant--see the sections of WFC cited
above instead.
An ABSTRACT IS REQUIRED for this paper. The abstract must be
100 words or less.
Use "IEEE Transactions, Journals, and Letters" documentation
style instead of the MLA or APA styles as described in WFC.
This style manual is available on the web (see link below.)
Chapter IV of this manual is the part that applies to this
assignment. On general matters of style not covered by the
IEEE style guide, follow The Chicago Manual of Style,
(available in the Dordt College Library). There are also a
number of shorter books on how to write a paper. Such books
are usually easier to use then the Chicago Manual and are
acceptable for this assignment if they are based on the
Chicago Style. Two such books are A Manual for Writers of
Papers, Theses, and Dissertations by Turabian (available
in Dordt's Library) and Words Into Type by Skillin and
Gay. (A particular note: IEEE style requires titles of books
and periodicals to be italicized, not underlined. Titles of
articles in periodicals are put in parenthesis, not
underlined.)
The IEEE Transactions, Journals, and Letters style guide is
available at http://www.ieee.org/portal/cms_docs/pubs/transactions/auinfo03.pdf
Papers written for this assignment will be eligible for
the IEEE Region 4 Student paper contest. Please read the
guidelines for this contest. Grading will be based on
Professor De Boer's usual rubric. Professor De Boer is
assuming that by meeting his grading rubric you will also do
well on the criteria for judging listed in the contest guide.
Professor De Boer's grading rubric is described in his booklet
"Writing a Lab Report." See pages 2-6 in the Fall 2003
version of this booklet.
IEEE Standard 315-1975 is mentioned in the IEEE contest guide.
It may be helpful if you need to include a schematic, however
most of this is intuitive. The table of contents of the
standard is available on the IEEE web pages. A few key
sections are available on a different web site. Click on
the page images ("Page 1", "Page 2", etc.). These pages are
in GIF format. It might be helpful to right-click on the page
of interest, save the GIF to your local disk, and then view it
in a graphics editor such as Microsoft Photo Editor. This
will allow you to zoom in on parts of the page.
Grading:
Your thesis with outline and annotated bibliography will be
graded as follows:
"A" Thesis statement has a limited and manageable scope. It
is no more than three sentences and no more than 100
words. It also expresses a specific and legitimately
debatable point-of-view. The paper will either defend
that point-of-view or present an analysis of the point-of-
view, describing the conditions under which it is likely
to succeed best and the opposing points-of-view.
Your thesis statement must meet the guidelines found in
Write for College. Particularly see 024, 111, 113,
287, and 288.
The thesis is grammatically correct.
The outline clearly supports the thesis. (See Write
for College 116.)
The bibliography contains at least two peer-reviewed sources
and at least five sources over-all. At least two peer-
reviewed sources and five sources over-all are independent of
each other. (Examples of non-independent sources are two
sources by the same author or publisher.)
The annotations for each source show clearly the essential
content of the source that is relevant to your paper and how
you will use the source.
"B" The bibliography requirements for five independent sources
are met and two are peer reviewed. One or a few other
requirements are not met in full.
"C" Serious problems with the Thesis, although a good-faith
effort shows. --OR-- Inadequate Bibliography --OR-- A good-
faith effort on the outline is not evident.
"D" (This grade will not be given.)
"F" Anything less than a "C"
("Good faith" means that several of the parts of the item relate
logically to the context or each other. Conversely, a list
of independent items or equations or quotations taken out-of-
context, etc. show bad faith.)
Your final paper will be graded according to the rubric in
Professor De Boer's booklet "Writing a Lab Report" as
mentioned above.
PEER GRADING RUBRIC (Added to this page
------------------- 10/01)
The purposes of peer grading are to. . .
(1) provide motivation for keeping up with the course, and
(2) to help each other learn how to solve problems, and
(3) to learn how to communicate our findings to others.
"A" The work shows a sincere effort. The presentation of the
work shows how the problem was solved. I can read it without
difficulty. (Correctness is not required.)
"B" The work shows a sincere effort but is incomplete. Or, the
work does not show all of what I would like to know about how
the problem was solved. Or, the work is hard to read, but
mostly readable with effort.
"C" Something is there and some sincere effort is shown.
"D" (This grade is not allowed)
"F" Nothing is there. (The student would have no basis upon
which to participate in class discussion.)
Plus and minus grades are not allowed. Comments from the peer
grader to the student being graded are encouraged. Please write
them on the back of the page or in the margin so that the student
may correct mistakes without re-copying the work.
(Previous versions of this course had no Web content.)
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