An　analytical　model　for　magnetic　field　of　solid　cylindrical　permanent　magnet　synchronous　motor　(SCPMSM)　with　rotor　eccentricity,　considering　the　stator　slotting　effect,　is　developed　based　on　subdomain　and　perturbation　methods　in　2D　polar　coordinates　to　quickly　and　accurately　calculate　the　magnetic　field　distribution　in　two-pole　parallel　magnetised　SCPMSM　with　rotor　eccentricity　with　various　parameters　and　to　provide　an　effective　method　of　studying　the　influence　of　rotor　eccentricity　on　motor　performances.　The　analysis　is　performed　by　dividing　the　solution　domain　into　three　subdomains,　viz.　permanent　magnet,　air　gap　and　stator　slots.　Those　subdomains　are　expressed　by　corresponding　governing　equations,　and　are　connected　by　boundary　conditions.　The　harmonic　coefficients　in　the　general　solutions　of　these　governing　equations　are　determined　by　the　boundary　conditions.　The　magnetic　field　distributions　of　corresponding　subdomains　in　the　motor　with　rotor　eccentricity　are　obtained　by　superposing　the　first-order　component　of　the　magnetic　field　onto　the　zeroth-order　component　according　to　the　perturbation　theory.　The　unbalanced　magnetic　pulls　under　both　rotor　static　and　dynamic　eccentricity　modes　are　calculated　using　Maxwell　stress　tensor　method.　A　2-pole　and　12-slot　parallel　magnetised　SCPMSM　is　taken　as　an　example,　and　its　rotor　eccentric　magnetic　field　and　unbalanced　magnetic　pulls　under　two　eccentricity　modes　are　calculated　by　the　proposed　model　and　are　compared　with　those　by　a　finite　element　method.　Result　verifies　the　correctness　of　the　analytical　model.　©　2019,　Editorial　Office　of　Journal　of　Xi＇an　Jiaotong　University.　All　right　reserved.