Improved Mathematical Modeling of Six Phase Induction Machines Based on Fractional Calculus

Multiphase induction machine modelling represents a crucial research topic for both control and performance evaluation purposes. Generally, multiphase machines are preferably modelled using the vector space decomposition technique with some assumptions to simplify mathematical model. However, different sources of non-linearities, including low order harmonics mapped secondary subspaces, cross-coupling saturation iron losses result in notable deviation from experimentally measured waveforms. Furthermore, considering full symmetry amongst motors phases seems be rather idealistic assumption. Fractional has recently emerged as promising model highly nonlinear electrical mechanical systems. This paper proposes an improved (VSD)-based fractional asymmetrical six-phase under healthy open phase fault conditions neutral arrangements. The appropriate differentiation orders have been obtained by optimizing error function between simulated experimental results compared conventional integral order-based Experimental validation carried out 1.5Hp prototype machine.