中国电气工程学报（英文） ›› 2021, Vol. 7 ›› Issue (3): 4-19.doi: 10.23919/CJEE.2021.000021

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  • 收稿日期:2021-04-05 修回日期:2021-05-21 接受日期:2021-05-24 出版日期:2021-09-25 发布日期:2021-09-17

Analytical Analysis and Performance Characterization of Brushless Doubly Fed Induction Machines Based on General Air-gap Field Modulation Theory*

Peng Han1,*, Ming Cheng2, Xinkai Zhu3, Zhe Chen4   

  1. 1. Ansys, Inc., San Jose, CA 95134, USA;
    2. School of Electrical Engineering, Southeast University, Nanjing 210096, China;
    3. Department of Electrical Engineering, North China Electric Power University, Baoding 071003, China;
    4. Department of Energy Technology, Aalborg University, Aalborg 9220, Denmark
  • Received:2021-04-05 Revised:2021-05-21 Accepted:2021-05-24 Online:2021-09-25 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 Institute of Electrical and Electronics Engineers, and 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.
    Xinkai Zhu received the B.Sc. degree from the School of Electrical Engineering, Shenyang University of Technology, Shenyang, China, in 2015, and the Ph.D. degree from the School of Electrical Engineering, Southeast University, Nanjing, China, in 2021, all in Electrical Engineering.From January 2019 to January 2020, he was a Guest Ph.D. student funded by China Scholarship Council with the Center for Electric Power and Energy, Technical University of Denmark, Copenhagen, Denmark, where he focused on AC loss calculation and quench analysis of superconducting coils applied in wind power generators. He is currently a Lecturer with the Department of Electric Power Engineering, North China Electric Power University. His current research interests include design and analysis of superconducting electrical machines and wind power generation systems.
    Zhe Chen received the B.Eng. and M.Sc. degrees in Power System and Automation from the Northeast China Institute of Electric Power Engineering, Jilin, China, in 1982 and 1986, respectively, and the Ph.D. degree in Power and Control from the University of Durham, Durham, UK, in 1997. He is a Full Professor with the Department of Energy Technology, Aalborg University, Denmark. He is the Leader of Wind Power System Research Program with the Department of Energy Technology, Aalborg University and the Danish Principal Investigator for Wind Energy of Sino-Danish Centre for Education and Research. He has led many research projects and has more than 400 publications in his technical field. His research interests include power systems, power electronics, and electric machines; and his main current research interests include wind energy and modern power systems. Dr. Chen is an editor of the IEEE Transactions on Power Systems, an Associate Editor of the IEEE Transactions on Power Electronics, a Fellow of the Institute of Electrical and Electronics Engineers, a Fellow of the Institution of Engineering and Technology, London, UK, a Chartered Engineer in the UK.

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Abstract: Air-gap magnetic field modulation has been widely observed in electric machines. In this study, we present an analytical analysis and performance characterization of brushless doubly fed induction machines (BDFIMs) fed by two independent converters from the perspective of air-gap field modulation. The spiral-loop winding is studied in detail as an example to show the generalized workflow that can also be used to analyze other short-circuited rotor winding types, such as nested-loop and multiphase double-layer windings. Magnetic field conversion factors are introduced to characterize the modulation behavior of special rotor windings and facilitate their comparison in terms of cross-coupling capability, average torque, and harmonic content of the air-gap flux density waveforms. The stator magnetomotive force (MMF), rotor MMF, and resultant air-gap MMF are considered, based on which the closed-form inductance formulas are derived, and the torque equation is obtained along with the optimal current angle for maximum torque operation by using the virtual work principle. The design equations are then developed for the initial sizing and geometry scaling of the BDFIMs. Transient finite element analysis and experimental measurements are performed to validate the analysis.

Key words: AC machines, air gap, magnetic field, spatial harmonic, frequency domain, modulation, rotor windings