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
Power System Operation and Control: 2nd Assignment
Small-signal stability of a single-machine infinite bus system
Introduction: This assignment tests the student’s ability of carrying out small-signal
stability analysis of single-machine infinite bus system.
Consider a single-machine infinite bus system shown in Fig.1. The total generating
capacity is 2220MVA and the rated LT bus voltage and frequency are 24kV and 60Hz,
respectively. The network reactance shown in the figure are in per unit on 2220MVA,
24kV bases (refer to the LT side of the step-up transformer). Resistances are neglected.
The small-signal stability of the system at the steady state condition following the loss
of circuit 2 needs to be analysed. The post fault system condition in per unit on the
2220MVA, 24kV base is:
= 0.9 = 0.3 ( ) t = 1.0∠360 b = 0.995∠0
0
The generators are to be modelled as a single equivalent generator represented by the
classical model with the following parameters expressed in per unit on 2220MVA,
24kV base:
d
′ = 0.21 = 4.0 /
(1) Draw the equivalent circuit model representing the post fault steady state
condition with all parameters expressed in per unit on 2220MVA base.
(2) Write the linearized equations of the post fault system. Using MATLAB
programme to determine the eigenvalues, damped frequency of oscillation in
Hz, damping ratio and undamped natural frequency for each of the following
values of damping coefficient:
( ) D = 0 ( ) D = 10 ( ) D = 10
(3) Plot the change of eigenvalues as the damping coefficient value changes
from -10 to 10 using MATLAB.
(4) For the case with = 10, plot the change of eigenvalues as H changes from
2 to 10 / using MATLAB.
Page 1 of 4
Fig. 1 SMIB system
Report Structure: Based on the above assignment, you are asked to prepare a report
of around 15 pages including the following sections:
1. Cover page (Please use the cover page template available on Canvas)
2. Table of content
3. Introduction
4. Theory on small-signal stability analysis (necessary equations and diagrams);
5. Results and Discussions
5. Conclusions
6. References (IEEE format should be used)
7. Appendix
IEEE reference format:
https://www.ieee-pes.org/part-4-preparation-of-a-formatted-technical-work-for-the ieee-power-energy-society
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
Page 2 of 4
Page 3 of 4
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’.
MATLAB code: MATLAB code should be put in a separate *.m file where
necessary comments in your computer code to explain your calculations should be
included.
Marking Criteria: The following is the marking criteria for this assignment:
(1) Introduction – a general description of the problem to be solved (10%).
(2) Methodology – how the problems are solved (20%).
(3) Results and discussion & MATLAB code (40%).
(4) Conclusions (10%).
(5) Use of references (5%)
(6) Overall report quality and structure (15%)
Note: 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
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.
The report as well as the MATLAB code will need to be submitted via the Canvas
(two separate files). Please do not submit .zip files. Submit .pdf or word file for the
report, and .m file for MATLAB code.
Dr Nan Chen
Page 4 of 4