The paper i s concerned w i t h t h e problem o f m a t h e m a t i c a l modell i n g o f t h e deep-bar r o t o r i n d u c t i o n machine. Two lkinds o f madels were a n a l y s e d i n t h i s pnpcr. The m u l t i p l e -r o t o r c i r c u i t model w i t h c o n s t a n t p a r a m e t e r s was p r e s e n t e d i n w h i c h t h e r o t o r c i r c u i t was r e p l a c e d by a f i n i t o number o f C-L s e c t i o n s . The method o f d e t e r m i n i n g o f s e c t i o n parameters f o r t r a p e z o i d a l r o t o r b a r s on t h e b a s i s o f R i c c e t i d i f f e r e n t i a l e q u a t i o n s o l u t i o n was demonst r a t e d . Then t h e o n e -r o t o r c i r c u i t model w i t h p a r s m e t e r s chang i n g i n f u n c t i o n o f t h e m o t o r s l i p was analysed. The method o f t h e e q u i v a l e n t c i r c u i t p a r a m e t e r s d e t e r m i n i n g o n t h e base af mot o r n o m i n a l d a t a f o r any m t o r b a r shape r e c t a n g u l a r o r t r s p e z o id e l was p r e s e n t e d . Proposed models were used f o r s i m u l a t i o n ~f asynchronous m o t o r t r a n s i e n t s . R e s u l t s o f t h e d i g i t a l s i m u l a t i o n and l a b o r a t o r y t e s t s were d i s c u s s e d and p r e s e n t e d suther;;aticolmod e l s were compared.