Is there anywhere in the NEC that allows flexible cord to be installed in a raceway?

Cord is only allowed to be in raceway in very specific locations or reasons, such as from the 2008 Edition of the NEC:

501.140 Flexible Cords, Class I, Divisions 1 and 2.
(A) Permitted Uses.
(B) Installation. Where flexible cords are used, the cords shall comply with all of the following:

(3) For electric submersible pumps with means for removal without entering the wet-pit. The extension of the flexible cord within a suitable raceway between the wet-pit and the power source shall be permitted.

So, need to know exactly what your application is.