联系我们： 手动添加方式: 微信>添加朋友>企业微信联系人>13262280223 或者 QQ: 1483266981

UNIVERSITY OF BIRMINGHAM
DEPARTMENT OF ELECTRONIC, ELECTRICAL AND
SYSTEMS ENGINEERING
MSc in Electrical Power Systems
Assignment for HVDC & FACTS module
Introduction: This assignment is to
Gain understanding of FACTS device – STATCOM and its functionalities by literature review;
Build detailed power flow models for STATCOM;
Carry out case studies to understand the control performance of the STATCOM and hence make
comparisons of results of different cases;
Draw conclusions and provide recommendations based on your studies.
The assignment deadline is available on Canvas. This assignment represents 50% of the assessment.
(Newton-Raphson Power Flow Solution with FACTS Devices)
Consider a two-bus system with the single-line diagram shown in Fig. 1. In the two-bus system:
Bus 1 is slack bus where voltage is given: = 1.05 + 0.0 . .
A load 2 + 2 = 0.8 + 0.2 . . is connected at Bus 2.
The impedance of the transmission line between bus 1 and bus 2 is 12 = 0.0 + 0.10 p.u.
A STATCOM is connected to bus 2 through a transformer to regulate the bus 2 voltage to be a
constant value.
The impedance of the STATCOM transformer is = 0.0 + 0.10 . ..
Page 2 of 6
Fig. 1 Two-bus system with STATCOM
You are asked to code computer programme (in MATLAB) using Newton-Raphson method to
calculate power flow solutions, using a convergence tolerance of : (|

|,|

|) ≤
where k is the number of iterations. With the computer code developed, the following case studies
will need to be carried out:
Q1 (Case 0): The STATCOM is NOT connected at bus 2, show the mathematical model using Newton Raphson method and the power flow solution including
(a) bus voltages at Bus 1 and Bus 2 (in polar coordinates in terms of voltage magnitudes and
voltage angles).
(b) active power flow and reactive power flow 12 + 12 and 21 + 21.
Q2 (Case 1): The STATCOM connected at bus 2 is to regulate the bus 2 voltage magnitude to be 1.05
p.u.. Show the mathematical model using Newton-Raphson method in polar coordinates and the
power flow solution including
(a) bus voltages at Bus 1 and Bus 2 as well as voltage of the STATCOM (in polar coordinates
in terms of voltage magnitudes and voltage angles).
(b) active power flow and reactive power flow 12 + 12 and 21 + 21.
Q3 (Case 2 and Case 3): For the problem in Q2, if the STATCOM connected at bus 2 is to regulate
the bus 2 voltage magnitude to be 1.07 p.u. (Case 2) and 1.03 p.u. (Case 3), respectively, please show
the power flow solutions for Case 2 and Case 3, respectively, and compare them with the power flow
solution in Q1 (Case 0). The power flow solution should include:
P
=10 6
z
sh
Page 3 of 6
(a) bus voltages at Bus 1 and Bus 2 as well as voltage of the STATCOM (in polar coordinates
in terms of voltage magnitudes and voltage angles).
(b) active power flow and reactive power flow 12 + 12 and 21 + 21.
Q4 (Case 4 and Case 5): For the problem in Q2, the impedance of the transmission line between bus 1
and bus 2 is changed into 12 = 0.0 + 0.15 p.u.. Case 4 and Case 5 are corresponding to Case 2 and
Case 3, respectively. Please show the power flow solutions for Case 4 and Case 5, respectively, and
compare them with the power flow solutions for Case 2 and Case 3, respectively. The power flow
solution should include:
(a) bus voltages at Bus 1 and Bus 2 as well as voltage of the STATCOM (in polar coordinates
in terms of voltage magnitudes and voltage angles).
(b) active power flow and reactive power flow 12 + 12 and 21 + 21 of the transmission
line between bus 1 and bus 2.
Report Structure: Based on the above assignment, you are asked to prepare a report of around 20
pages including the following sections:
1. Cover page (Please use the cover page template available on Canvas)
2. Abstract
3. Table of content
4. Introduction:
Providing comprehensive understanding of STATCOM and its functionalities by literature
review;
Showing the contributions of this report;
Showing the arrangement or structure of the report.
5. Detailed Mathematical modelling of FACTS device, i.e., STATCOM including Power Mismatch
equations, Newton Raphson solution (Jacobian Matrix and Updating equations) in Polar
Coordinates. Necessary diagrams should be included.
6. Calculation results using the MATLAB code and discuss the results and make comparisons of the
different cases. For each Case, by using the Newton-Raphson method in Polar Coordinates, show
the convergence characteristics by drawing a relationship: (|

|, |

|) vs iteration
count k where i is bus number.
7. Conclusions
8. References (IEEE format should be used)
IEEE Journal Paper Word Template can be found here: https://www.ieee-pes.org/templates-and sample-of-pes-technical-papers
9. Appendix
Page 4 of 6
Test system and related data, complicated derivations, as well as computer code can be included
into Appendix.
Report Layout: Page numbers should be inserted at the bottom centre of each page except the cover
page. Report should be typed on A4 paper, spaced 1.5 with margins as follows: Top-2.54cm, bottom-
2.54cm, left-2.54cm, right-2.54cm. Font size of 11 or 12 can be used.
Report Writing: The style of writing should be formal and precise with no more words than needed to
make the meaning clear. Every statement must be justified, and nothing that is written should be vague.
Tables and diagrams should be used wherever appropriate. A specific point that must be made is that
the report should be written in the third person. For example, ‘this was carried out’ should be used rather
than ‘I did this’. This is the traditional method of expression used in scientific and technical writing.
Marking Criteria: The following is the marking criteria for this assignment:
(1) Abstract, Table of Contents, Introduction (10%)
(a) Abstract
a short summary of your report, usually about a paragraph (less than 100 words) long.
A well-written abstract serves multiple purposes:
an abstract lets readers get the gist or essence of your report quickly, in order to
decide whether to read the full report;
an abstract prepares readers to follow the detailed information, analyses, and
arguments in your full report;
and, later, an abstract helps readers remember key points from your report.
(b) Introduction: a general description of the problem to be solved.
(2) Theory and Methodologies: how the problems are solved and related theories (20%).
(3) Results and discussions (40%)
Showing results of different cases
Comparing results of cases
Showing computer code (in a separate .m file or .m files)
(4) Conclusions (10%).
(5) Use of references (5%)
(6) Overall report quality and structure (15%)
English Language proficiency
Pass and above:
The work is written / spoken to an acceptable standard of English
Spelling, punctuation, vocabulary, sentence construction, and textual coherence is of an acceptable
standard.
Fail:
Poor standard of written / spoken English, making it difficult to understand the points being made.
Weaknesses of writing / speaking are so frequent or serious that they impede communication.
Statement for Use of Generative AI in the coursework
Please put the following Statement between the Conclusion part and References part:
“I do not use generative AI tools such as ChatGPT (or any equivalent alternative) in the preparation
of the submission.”
or
“I have used generative AI tools such as ChatGPT (or any equivalent alternative) in the preparation
of the submission.”
If you have used generative AI, the use of generative AI should be referenced using an appropriate
method such as suggested in this example: https://apastyle.apa.org/blog/how-to-cite-chatgpt
Recommended References for the completion of the assignment:
1. PPT lecture notes of HVDC AND FACTS and PSOC (Power Flow)
2. Xiao-Ping Zhang, Christian Rehtanz, Bikash Pal, Flexible AC Transmission Systems:
Modelling and Control, 2nd ed, ISBN 978-3-642-28241-6, 2012, e-Book (electronic version is
available from the University of Birmingham Library), Chapter 2.
3. W. F. Tinney and C. E. Hart, “Power Flow Solution by Newton’s Method,” IEEE Transactions
on Power Apparatus and Systems, vol. PAS-86, no. 11, pp. 1449-1460, Nov. 1967, doi:
10.1109/TPAS.1967.291823.
Plagiarism: Plagiarism will not be tolerated. It is the act of a Student claiming as their own,
intentionally or by omission, work which was not done by that Student. Plagiarism also includes a
Student deliberately claiming to have done work submitted by the Student for assessment which was
never undertaken by that Student, including self-plagiarism and the other breaches. Sanctions of a
plagiarism include the Student failing the Programme of study.
Submissions: The report as well as the MATLAB code (.m file) will need to be submitted via the
Canvas. Please do not submit .zip files. Submit .pdf or word file for the report, and .m file or .m files for
MATLAB codes (you could have more than one .m files).
Page 5 of 6
Prof Xiao-Ping Zhang
Page 6 of 6