Download the full-sized PDF of Power System Voltage Stability Assessment Using Channel Components TransformDownload the full-sized PDF



Permanent link (DOI):


Export to: EndNote  |  Zotero  |  Mendeley


This file is in the following communities:

Graduate Studies and Research, Faculty of


This file is in the following collections:

Theses and Dissertations

Power System Voltage Stability Assessment Using Channel Components Transform Open Access


Other title
Voltage stability
Channel Components Transform
Power systems
Eigen decomposition
Type of item
Degree grantor
University of Alberta
Author or creator
Rahimi Pordanjani, Iraj
Supervisor and department
Xu, Wilsun (Department of Electrical and Computer Engineering)
Examining committee member and department
Rosehart, William (Department of Electrical & Computer Engineering, University of Calgary)
Mohamed, Yasser (Department of Electrical & Computer Engineering)
Li, Yunwei (Department of Electrical & Computer Engineering)
Chen, Tongwen (Department of Electrical & Computer Engineering)
Department of Electrical and Computer Engineering
Power Engineering and Power Electronics
Date accepted
Graduation date
Doctor of Philosophy
Degree level
This Thesis proposes a novel transform called “Channel Components Transform” and presents its application to power system voltage stability assessment. The transform is based on the following observation: a power network can be represented as a multi-node, multi-branch Thevenin circuit connecting the loads to the generators. If one applies eigen-decomposition on the Thevenin impedance matrix, the network can be decoupled into a set of single-branch equivalent circuits. These circuits are much easier to analyze and they carry valuable information of a power system. Similarly, if the variations of the transformed variables can be evaluated, one may be able to predict the complex behaviours of the actual network. The eigen-decomposition of the Thevenin impedance matrix and associated operations are named “Channel Components Transform” (CCT). The thesis shows that CCT can establish a framework to assess the voltage stability conditions of a power system. Techniques are developed to identify the critical modes (called channels) involved in voltage collapse, the associated critical buses, generators, and branches. These methods are tested using various test systems including an actual large power system. The results confirm that the developed methods are useful tools for assessing the voltage stability of a complex power system. A wide-area scheme for the online voltage stability monitoring based on the proposed CCT-based framework is proposed. A methodology for optimal placement of Phsor Measurement Units (PMUs) is also proposed in order to minimize the number of required PMUs and as a result, make the implementation procedure practical. A CCT-based algorithm to facilitate the planning of reactive power support is developed. Using the proposed algorithm, the optimal location and amount of reactive supports are determined in order to increase the voltage stability margin. The application of Singular Value Decomposition (SVD) in the proposed CCT is also investigated in this thesis.
Permission is hereby granted to the University of Alberta Libraries to reproduce single copies of this thesis and to lend or sell such copies for private, scholarly or scientific research purposes only. Where the thesis is converted to, or otherwise made available in digital form, the University of Alberta will advise potential users of the thesis of these terms. The author reserves all other publication and other rights in association with the copyright in the thesis and, except as herein before provided, neither the thesis nor any substantial portion thereof may be printed or otherwise reproduced in any material form whatsoever without the author's prior written permission.
Citation for previous publication

File Details

Date Uploaded
Date Modified
Audit Status
Audits have not yet been run on this file.
File format: pdf (Portable Document Format)
Mime type: application/pdf
File size: 2470990
Last modified: 2015:10:12 16:15:51-06:00
Filename: Rahimi Pordanjani_Iraj_Fall 2013.pdf
Original checksum: 809a3f858ef6666db2d92bfd22ea644e
Well formed: false
Valid: false
Status message: Invalid page tree node offset=1120461
Status message: Unexpected error in findFonts java.lang.ClassCastException: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject cannot be cast to edu.harvard.hul.ois.jhove.module.pdf.PdfDictionary offset=2463063
Page count: 100
Activity of users you follow
User Activity Date