Advanced Modulation Techniques for
A Thesis submitted to the Faculty of Graduate Studies of
The University of Manitoba
in partial fulﬁlment of the requirements of the degree of
Master of Science
Department of Electrical and Computer Engineering
University of Manitoba
Copyright c 2007 by Ali Mehrizi-Sani
Submission of this thesis marks a milestone in my academic career. After 18 years of schooling, there are lots of people who have helped me, either directly or indirectly, in my achievements in life. It is a pleasure to acknowledge such people. My deepest thankfulness goes to my thesis advisor, Dr. Shaahin Filizadeh. During the course of my Master’s program, beside being my academic supervisor, he was a great friend, an insightful mentor, an open-minded supporter, and an encouraging person. I cannot imagine a more pleasurable Master’s. We had countless hours of laughter, discussion on many topics, and of course, technical conversation. He also was an incredibly fast (and precise) thesis-reader. I do consider myself privileged to have had the opportunity to work with him.
I wish to express my sincere appreciation for my committee members who took the time to go through my thesis: Dr. Ani Gol´, my internal examiner, who although e
was not directly involved with my research, remained a supportive person; and Mr. Randy Wachal, my external examiner, who kindly agreed to be on my committee and provided me with his extensive technical insight and experience. Partial ﬁnancial support from the Manitoba HVDC Research Center, the Natural Sciences and Engineering Research Council (NSERC) of Canada, and the Mathematics of Information Technology and Complex Systems (MITACS) Internship Program is greatly acknowledged.
I also want to thank all the people at the Power Tower, and the great people I came across during my program: Dr. Udaya Annakkage (for the new things I learned in his challenging course on Power System Analysis), Dr. Athula Rajapakse (for allowing me to use the loss estimation components he had developed in PSCAD), Dr. Dharshana Muthumuni (for hours of discussion on electric machine models of PSCAD and also for presenting my paper at the IPST07), and Mr. Behzad Qahraman (for being a living Encyclopedia Winnipegia). And also, Maziar (for letting me use his nicely-done STATCOM component), the Balatarin community website (for providing a fun place to read news and ﬁnd more about the world, and establishing a venue to hang out virtually and to know a whole lot more about people), and A
L TEX (for making the whole process of thesis writing more adventurous).
I would also like to thank my best friend, Aziz, who although was physically far from me, never stopped encouraging and inspiring me. Not only had he a great impact on my academic career, but he also helped me with other aspects of life and remained a precious conﬁdant of mine. Thanks for your believing in my capabilities, for your sense of humor, and for your big heart, Aziz.
And most importantly, I owe a lot to my marvelous mother and to my unﬂinching father, who were on my side whenever I needed them. To them I dedicate this thesis.
my loving Parents
Pulse-width modulation methods are widely used for the synthesis of ac voltages at the terminals of a voltage-sourced converter (VSC). Traditionally sinusoidal pulsewidth modulation (SPWM) has been used. A powerful alternative for this purpose is space-vector modulation (SVM), in which the converter is placed in a ﬁnite number of states in order to best approximate the reference voltage. This method oﬀers better utilization of the dc bus voltage and provides several degrees of freedom for enhancement of the harmonic spectrum as well as switching losses. This thesis studies the SVM method for two- and three-level VSCs. A model for implementation of SVM in the electromagnetic transients...
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