Abstract:
In order to increase the torque density of the five-phase machines, the third harmonic is commonly employed. In this paper, the optimal and critical ratios for the third ...Show MoreMetadata
Abstract:
In order to increase the torque density of the five-phase machines, the third harmonic is commonly employed. In this paper, the optimal and critical ratios for the third harmonic current injection are analytically derived and validated by finite element (FE) analyses. It is found that the optimal and critical injection ratios along with the torque improvement are dependent on the ratio of the third harmonic back electromotive force to the fundamental one. In order to improve the electromagnetic torque contributed by the third harmonic component, this paper employs unequal tooth to increase both the fundamental and third harmonic winding factors. Meanwhile, the optimal unequal tooth width combination is deduced and demonstrated by the FE method. When the third harmonic current is injected under the same amplitude constraint, the output torque can be improved. When the third harmonic current is injected under the same RMS value constraint, for the ten-slot/eight-pole equal tooth machine, the output torque can barely be increased, whilst for the unequal tooth machine, the output torque can be increased by 2.1%. Finally, the ten-slot/eight-pole machine with unequal teeth is prototyped and tested to prove the analyses.
Published in: IEEE Transactions on Vehicular Technology ( Volume: 67, Issue: 1, January 2018)
Funding Agency:
College of Auto-mation Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, China
Z. Y. Gu received the Bachelor's degree in electrical
engineering in 2016 from Nanjing University of Aeronautics and Astronautics, Nanjing, China, where he has been working
toward the Master's degree in electrical engineering since 2016.
Z. Y. Gu received the Bachelor's degree in electrical
engineering in 2016 from Nanjing University of Aeronautics and Astronautics, Nanjing, China, where he has been working
toward the Master's degree in electrical engineering since 2016.View more
College of Auto-mation Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, China
K. Wang (M’13–SM’14) received the B.Eng. degree in
automation from China Jiliang University, Hangzhou, China, in 2004, and the Ph.D. degree from Zhejiang University,
Hangzhou, in 2009. From 2009 to 2010, he was with the Memorial University of Newfoundland, St. John's, NL,
Canada, as a Postdoctoral Fellow. From 2010 to 2013, he was with The University of Sheffield, Sheffield, U.K. From
2013 to 2015, he was a Research A...Show More
K. Wang (M’13–SM’14) received the B.Eng. degree in
automation from China Jiliang University, Hangzhou, China, in 2004, and the Ph.D. degree from Zhejiang University,
Hangzhou, in 2009. From 2009 to 2010, he was with the Memorial University of Newfoundland, St. John's, NL,
Canada, as a Postdoctoral Fellow. From 2010 to 2013, he was with The University of Sheffield, Sheffield, U.K. From
2013 to 2015, he was a Research A...View more
Department of Electronic and Electrical Engineering, University of Sheffield, Sheffield, U.K
Z. Q. Zhu (M’90–SM’00–F’09) received
the B.Eng. and M.Sc. degrees in electrical engineering from Zhejiang University, Hangzhou, China, in 1982 and 1984,
respectively, and the Ph.D. degree in electrical engineering from The University of Sheffield, Sheffield, U.K., in
1991.
Since 1988, he has been with The University of Sheffield, where he is currently a Professor in the Department of
Electronic and Electrical Engineeri...Show More
Z. Q. Zhu (M’90–SM’00–F’09) received
the B.Eng. and M.Sc. degrees in electrical engineering from Zhejiang University, Hangzhou, China, in 1982 and 1984,
respectively, and the Ph.D. degree in electrical engineering from The University of Sheffield, Sheffield, U.K., in
1991.
Since 1988, he has been with The University of Sheffield, where he is currently a Professor in the Department of
Electronic and Electrical Engineeri...View more
Department of Electronic and Electrical Engineering, University of Sheffield, Sheffield, U.K
Z. Z. Wu received the B.Eng. and M.Sc. degrees in electrical
engineering from the Chien-Shiung Wu College and the School of Electrical Engineering, Southeast University, Nanjing,
China, in 2010 and 2013, respectively. He has been working toward the Ph.D. degree in the Department of Electronic and
Electrical Engineering, University of Sheffield, Sheffield, U.K., since 2013. His major research interests include the
anal...Show More
Z. Z. Wu received the B.Eng. and M.Sc. degrees in electrical
engineering from the Chien-Shiung Wu College and the School of Electrical Engineering, Southeast University, Nanjing,
China, in 2010 and 2013, respectively. He has been working toward the Ph.D. degree in the Department of Electronic and
Electrical Engineering, University of Sheffield, Sheffield, U.K., since 2013. His major research interests include the
anal...View more
College of Auto-mation Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, China
C. Liu received the B.S. degree in electrical engineering from
Yanshan University, Qinhuangdao, China, in 1994, the M.S. and Ph.D. degrees in electrical engineering from Nanjing
University of Aeronautics and Astronautics, Nanjing, China, in 1997 and 2000, respectively.
In 2000, he was a Postdoctoral Researcher with Nanjing University of Aeronautics and Astronautics. In 2002, he
joined the Department of Electrical Engine...Show More
C. Liu received the B.S. degree in electrical engineering from
Yanshan University, Qinhuangdao, China, in 1994, the M.S. and Ph.D. degrees in electrical engineering from Nanjing
University of Aeronautics and Astronautics, Nanjing, China, in 1997 and 2000, respectively.
In 2000, he was a Postdoctoral Researcher with Nanjing University of Aeronautics and Astronautics. In 2002, he
joined the Department of Electrical Engine...View more
College of Auto-mation Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, China
R. W. Cao (S'10–M'13) received the M.S. and Ph.D degrees in
electrical engineering from Southeast University, Nanjing, China, in 2007 and 2013, respectively.
From August 2010 to November 2011, he was a joint Ph.D. student in the College of Electrical and Computer Science,
University of Michigan, Dearborn, MI, USA, funded by the China Scholarship Council. Since 2013, he has been with
Nanjing University of Aeronautics and...Show More
R. W. Cao (S'10–M'13) received the M.S. and Ph.D degrees in
electrical engineering from Southeast University, Nanjing, China, in 2007 and 2013, respectively.
From August 2010 to November 2011, he was a joint Ph.D. student in the College of Electrical and Computer Science,
University of Michigan, Dearborn, MI, USA, funded by the China Scholarship Council. Since 2013, he has been with
Nanjing University of Aeronautics and...View more
Contents College of Auto-mation Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, China
Z. Y. Gu received the Bachelor's degree in electrical
engineering in 2016 from Nanjing University of Aeronautics and Astronautics, Nanjing, China, where he has been working
toward the Master's degree in electrical engineering since 2016.
Z. Y. Gu received the Bachelor's degree in electrical
engineering in 2016 from Nanjing University of Aeronautics and Astronautics, Nanjing, China, where he has been working
toward the Master's degree in electrical engineering since 2016.View more
College of Auto-mation Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, China
K. Wang (M’13–SM’14) received the B.Eng. degree in
automation from China Jiliang University, Hangzhou, China, in 2004, and the Ph.D. degree from Zhejiang University,
Hangzhou, in 2009. From 2009 to 2010, he was with the Memorial University of Newfoundland, St. John's, NL,
Canada, as a Postdoctoral Fellow. From 2010 to 2013, he was with The University of Sheffield, Sheffield, U.K. From
2013 to 2015, he was a Research Associate with the Sheffield Siemens Wind Power Research Centre, Sheffield, U.K., and
a Research and Development Engineer with Ansys Inc., Canonsburg, PA, USA. Since 2015, he has been with the College of
Automation Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, China. His current research
interests include the design and control of permanent-magnet machines.
K. Wang (M’13–SM’14) received the B.Eng. degree in
automation from China Jiliang University, Hangzhou, China, in 2004, and the Ph.D. degree from Zhejiang University,
Hangzhou, in 2009. From 2009 to 2010, he was with the Memorial University of Newfoundland, St. John's, NL,
Canada, as a Postdoctoral Fellow. From 2010 to 2013, he was with The University of Sheffield, Sheffield, U.K. From
2013 to 2015, he was a Research Associate with the Sheffield Siemens Wind Power Research Centre, Sheffield, U.K., and
a Research and Development Engineer with Ansys Inc., Canonsburg, PA, USA. Since 2015, he has been with the College of
Automation Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, China. His current research
interests include the design and control of permanent-magnet machines.View more
Department of Electronic and Electrical Engineering, University of Sheffield, Sheffield, U.K
Z. Q. Zhu (M’90–SM’00–F’09) received
the B.Eng. and M.Sc. degrees in electrical engineering from Zhejiang University, Hangzhou, China, in 1982 and 1984,
respectively, and the Ph.D. degree in electrical engineering from The University of Sheffield, Sheffield, U.K., in
1991.
Since 1988, he has been with The University of Sheffield, where he is currently a Professor in the Department of
Electronic and Electrical Engineering and the Head of the Electrical Machines and Drives Research Group. His current
major research interests include the design and control of permanent-magnet brushless machines and drives for
applications ranging from automotive to renewable energy.
Z. Q. Zhu (M’90–SM’00–F’09) received
the B.Eng. and M.Sc. degrees in electrical engineering from Zhejiang University, Hangzhou, China, in 1982 and 1984,
respectively, and the Ph.D. degree in electrical engineering from The University of Sheffield, Sheffield, U.K., in
1991.
Since 1988, he has been with The University of Sheffield, where he is currently a Professor in the Department of
Electronic and Electrical Engineering and the Head of the Electrical Machines and Drives Research Group. His current
major research interests include the design and control of permanent-magnet brushless machines and drives for
applications ranging from automotive to renewable energy.View more
Department of Electronic and Electrical Engineering, University of Sheffield, Sheffield, U.K
Z. Z. Wu received the B.Eng. and M.Sc. degrees in electrical
engineering from the Chien-Shiung Wu College and the School of Electrical Engineering, Southeast University, Nanjing,
China, in 2010 and 2013, respectively. He has been working toward the Ph.D. degree in the Department of Electronic and
Electrical Engineering, University of Sheffield, Sheffield, U.K., since 2013. His major research interests include the
analysis and design of synchronous machines, and magnetic gear for electrical vehicle and wind power generation
applications.
Z. Z. Wu received the B.Eng. and M.Sc. degrees in electrical
engineering from the Chien-Shiung Wu College and the School of Electrical Engineering, Southeast University, Nanjing,
China, in 2010 and 2013, respectively. He has been working toward the Ph.D. degree in the Department of Electronic and
Electrical Engineering, University of Sheffield, Sheffield, U.K., since 2013. His major research interests include the
analysis and design of synchronous machines, and magnetic gear for electrical vehicle and wind power generation
applications.View more
College of Auto-mation Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, China
C. Liu received the B.S. degree in electrical engineering from
Yanshan University, Qinhuangdao, China, in 1994, the M.S. and Ph.D. degrees in electrical engineering from Nanjing
University of Aeronautics and Astronautics, Nanjing, China, in 1997 and 2000, respectively.
In 2000, he was a Postdoctoral Researcher with Nanjing University of Aeronautics and Astronautics. In 2002, he
joined the Department of Electrical Engineering, Nanjing University of Aeronautics and Astronautics. Since 2008, he
has been a Professor in the Department of Electrical Engineering, College of Automation Engineering, Nanjing
University of Aeronautics and Astronautics. His research interests range include the permanent-magnet synchronous
motors and switched reluctance motors for automotive, renewable energy, and aerospace applications.
C. Liu received the B.S. degree in electrical engineering from
Yanshan University, Qinhuangdao, China, in 1994, the M.S. and Ph.D. degrees in electrical engineering from Nanjing
University of Aeronautics and Astronautics, Nanjing, China, in 1997 and 2000, respectively.
In 2000, he was a Postdoctoral Researcher with Nanjing University of Aeronautics and Astronautics. In 2002, he
joined the Department of Electrical Engineering, Nanjing University of Aeronautics and Astronautics. Since 2008, he
has been a Professor in the Department of Electrical Engineering, College of Automation Engineering, Nanjing
University of Aeronautics and Astronautics. His research interests range include the permanent-magnet synchronous
motors and switched reluctance motors for automotive, renewable energy, and aerospace applications.View more
College of Auto-mation Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, China
R. W. Cao (S'10–M'13) received the M.S. and Ph.D degrees in
electrical engineering from Southeast University, Nanjing, China, in 2007 and 2013, respectively.
From August 2010 to November 2011, he was a joint Ph.D. student in the College of Electrical and Computer Science,
University of Michigan, Dearborn, MI, USA, funded by the China Scholarship Council. Since 2013, he has been with
Nanjing University of Aeronautics and Astronautics, Nanjing, China, where he is an Associate Professor in the
Department of Electrical Engineering. His teaching and research interests include linear motors for rail transit and
electromagnetic launch system, permanent magnet motor drives for electric vehicles, and renewable energy generation.
R. W. Cao (S'10–M'13) received the M.S. and Ph.D degrees in
electrical engineering from Southeast University, Nanjing, China, in 2007 and 2013, respectively.
From August 2010 to November 2011, he was a joint Ph.D. student in the College of Electrical and Computer Science,
University of Michigan, Dearborn, MI, USA, funded by the China Scholarship Council. Since 2013, he has been with
Nanjing University of Aeronautics and Astronautics, Nanjing, China, where he is an Associate Professor in the
Department of Electrical Engineering. His teaching and research interests include linear motors for rail transit and
electromagnetic launch system, permanent magnet motor drives for electric vehicles, and renewable energy generation.
View more
