Journal of Electrical Engineering ›› 2021, Vol. 7 ›› Issue (3): 29-41.doi: 10.23919/CJEE.2021.000023

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Spiral Vector Modeling of Brushless Doubly-fed Induction Machines with Short-circuited Rotor Windings

Peng Han1,*, Ming Cheng2, Zhiwei Zhang3, Peng Peng4   

  1. 1. Ansys, Inc., San Jose, CA 95134, USA;
    2. School of Electrical Engineering, Southeast University, Nanjing 210096, China;
    3. Department of ECE, The Ohio State University, Columbus, OH 43210, USA;
    4. Milwaukee Electric Tool Corporation, Milwaukee, WI 53005, USA
  • Received:2021-04-13 Revised:2021-05-04 Accepted:2021-05-31 Published:2021-09-17
  • Contact: * E-mail: peng.han@uky.edu
  • About author:Peng Han received the B.Sc. and Ph.D. degrees in Electrical Engineering from the School of Electrical Engineering, Southeast University, Nanjing, China, in 2012 and 2017, respectively.From November 2014 to November 2015, he was a joint Ph.D. student funded by China Scholarship Council with the Department of Energy Technology, Aalborg University, Aalborg, Denmark, where he focused on the brushless doubly-fed machines for wind energy conversion and high power drive. He was a Postdoctoral Researcher with the Center for High Performance Power Electronics (CHPPE), Department of Electrical and Computer Engineering, The Ohio State University, and later the SPARK Laboratory, Department of Electrical and Computer Engineering, University of Kentucky. He is currently with Ansys, Inc. as an Application Engineer. His current research interests include electric machines, power electronics and renewable energy.
    Ming Cheng received the B.Sc. and M.Sc. degrees from the department of Electrical Engineering, Southeast University, Nanjing, China, in 1982 and 1987, respectively, and the Ph.D. degree from the Department of Electrical and Electronic Engineering, University of Hong Kong, Hong Kong, China, in 2001, all in Electrical Engineering.Since 1987, he has been with Southeast University, where he is currently a Chief Professor at the School of Electrical Engineering and the Director of the Research Center for Wind Power Generation. From January to April 2011, he was a Visiting Professor with the Wisconsin Electric Machine and Power Electronics Consortium (WEMPEC), University of Wisconsin, Madison, WI, USA. His teaching and research interests include electrical machines, motor drives for EV, and renewable energy generation. He has authored or co-authored more than 400 technical papers and 5 books, and is the holder of 130 patents in these areas. Prof. Cheng is a Fellow of the Institution of Engineering and Technology. He has served as the Chair and an Organizing Committee Member for many international conferences. He is a distinguished Lecturer of the IEEE Industry Application Society in 2015/2016.
    Zhiwei Zhang received the Ph.D. degree in Electrical Engineering from the Huazhong University of Science and Technology, Wuhan, China, in 2016. He is currently a Visiting Scholar with the Department of Electrical and Computer Engineering, The Ohio State University, Columbus, OH, USA. His current research interests include design and analysis of advanced electric machines, variable-speed ac drives, transportation electrification, and renewable energy conversion systems.
    Peng Peng received the Ph.D. degree in Electrical and Computer Engineering from The Ohio State University, Columbus, OH, USA, in 2020. Since 2021, he has been a Motor Control Engineer with Milwaukee Electric Tool Corporation developing control algorithms for high-speed motors. His research interests include electric machines, magnetic materials, control theory, and power electronics.

Abstract: A unified spiral vector model is presented that can be used to assist the finite element method-based performance analysis of brushless doubly-fed induction machines with various short-circuited rotor windings. Specifically, magnet-free brushless doubly-fed induction machines working in doubly-fed or singly-fed synchronous mode are investigated. A dynamic model in spiral vector notation is developed, based on which the torque-angle and power-angle characteristics are derived. It is shown that the investigated brushless machines are equivalent to a traditional non-salient-pole synchronous machine with brushes. By introducing a conversion factor, they can also be analyzed with methods similar to the conventional phasor theory. A comparison is made between the brushless doubly-fed induction machine and non-salient-pole wound-field synchronous machine with brushes, revealing that the performance of the brushless machine degrades faster when the laminated core is saturated. A scaled-down prototype is tested to validate the effectiveness of the theoretical analysis.

Key words: AC machine, brushless machine, modeling, performance evaluation, synchronous machine