Stator inductance matrix diagonalization algorithms for different multi-phase winding schemes of round-rotor electric machines part I. theory

The stator winding of multi-phase machines can be designed according to different schemes, which differ by either the number or the spatial arrangement of phases. For control and analysis purposes, it is often useful that the stator inductance matrix is reduced to a diagonal form. This allows for the multiphase machine to be split into independently-controllable systems and directly leads to stator harmonic impedance determination. Simple and compact diagonalization algorithms are established in this paper covering all possible multi-phase schemes of practical importance with a unified approach, under the hypothesis of uniform air-gap and negligible magnetic saturation. In a companion paper, All the proposed equations are experimentally assessed though dedicated tests on several multiphase winding schemes.

[1]  Yifan Zhao,et al.  Space vector PWM control of dual three phase induction machine using vector space decomposition , 1994 .

[2]  Paul C. Krause,et al.  Induction Machine Analysis for Arbitrary Displacement Between Multiple Winding Sets , 1974 .

[3]  H. Jordan,et al.  Nine-phase armature windings design, test, and harmonic analysis , 2005, IEEE Transactions on Magnetics.

[4]  H. Razik,et al.  On the modeling and design of dual-stator windings to minimize circulating harmonic currents for VSI fed AC machines , 2004, IEEE Transactions on Industry Applications.

[5]  P. Viarouge,et al.  Generalized transformations for polyphase phase-Modulation motors , 2006, IEEE Transactions on Energy Conversion.

[6]  S. Williamson,et al.  Pulsating torque and losses in multiphase induction machines , 2001, Conference Record of the 2001 IEEE Industry Applications Conference. 36th IAS Annual Meeting (Cat. No.01CH37248).

[7]  Xiaofeng Zhang,et al.  Improvement of low-speed operation performance of DTC for three-level inverter-fed multi-phase synchronous motor , 2005, 2005 International Conference on Electrical Machines and Systems.

[8]  E. Klingshirn,et al.  High Phase Order Induction Motors - Part II-Experimental Results , 1983, IEEE Transactions on Power Apparatus and Systems.

[9]  Hamid A. Toliyat,et al.  Multiphase induction motor drives - : a technology status review , 2007 .

[10]  R.A. McMahon,et al.  Analysis and Performance Assessment of Six-Pulse Inverter-Fed Three-Phase and Six-Phase Induction Machines , 2006, IEEE Transactions on Industry Applications.

[11]  Emil Levi,et al.  Multiphase Electric Machines for Variable-Speed Applications , 2008, IEEE Transactions on Industrial Electronics.

[12]  M. Jones,et al.  Independent vector control of asymmetrical nine-phase machines by means of series connection , 2005, IEEE International Conference on Electric Machines and Drives, 2005..

[13]  L.F.A. Pereira,et al.  General Model of a Five-Phase Induction Machine Allowing for Harmonics in the Air Gap Field , 2006, IEEE Transactions on Energy Conversion.

[14]  D. White,et al.  Electromechanical energy conversion , 1959 .

[15]  E. Klingshirn,et al.  High Phase Order Induction Motors - Part I-Description and Theoretical Considerations , 1983, IEEE Transactions on Power Apparatus and Systems.

[16]  F. Terrien,et al.  Multiphase induction motor sensorless control for electric ship propulsion , 2004 .

[17]  Alberto Tessarolo,et al.  On the modeling of poly-phase electric machines through Vector-Space Decomposition: Theoretical considerations , 2009, 2009 International Conference on Power Engineering, Energy and Electrical Drives.

[18]  Alberto Tessarolo.  On the modeling of poly-phase electric machines through Vector-Space Decomposition: Numeric application cases , 2009, 2009 International Conference on Power Engineering, Energy and Electrical Drives.

[19]  Lorenzo Branz,et al.  Stator inductance matrix diagonalization algorithms for different multi-phase winding schemes of round-rotor electric machines part II. Examples and validations , 2015, IEEE EUROCON 2015 - International Conference on Computer as a Tool (EUROCON).