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Analytical Model of Open-Circuit Air Gap Flux Density in High Speed Permanent Magnet Machines Accounting for Winding Eddy Current Reaction

An improved analytical subdomain model is proposed to calculate the open-circuit air gap flux density in high speed permanent magnet machines accounting for the effect of winding eddy current reaction. The analytical model accounts for four subdomains including permanent magnet, retaining sleeve, air gap and slots. By applying boundary conditions between subdomains, the analytical expression of each subdomain can be derived. Compared with the conventional subdomain model, the subdomain model accounting for winding eddy current reaction can accurately predict the open-circuit air gap flux density. The finite element method is carried out to validate the analytical model.