Abstract
This paper investigates the effect of winding configuration on the electromagnetic vibration of the 48-slot/8-pole modular dual three-phase (DTP) permanent magnet (PM) machine. Firstly, two winding topologies are discussed based on the phase shift principle, and their phase shift angles are 30° and 60°, respectively. Secondly, the armature magnetomotive force (MMF) of different winding configurations are derived and compared. The modular DTP-PM machine with 30° phase shift produces the extra 2 <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">nd</sup> , 18 <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">th</sup> , 22 <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">nd</sup> , 26 <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">th</sup> and 30 <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">th</sup> armature MMF harmonic components compared with the 60° phase shift one. Afterwards, the electromagnetic force density and radial concentrated force of two modular DTP-PM machines are investigated. The result reveals that the modular DTP-PM machine with 30° phase shift induces the non-negligible 2 <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">nd</sup> -order vibration under the load condition. This is different from the modular DTP-PM machine with 60° phase shift which mainly induces 0 <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">th</sup> -order vibration. Furthermore, the multi-physics field finite-element method is used to calculate the static deformation and vibration acceleration of two modular DTP-PM machines. Finally, the prototype of a 48-slot/8-pole modular DTP-PM machine with 30° phase shift is manufactured. The experiments are conducted to validate the theoretical analysis.
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