{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}


HW6Sol - EEL 3216 Introduction to Power Systems Homework 6...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
EEL 3216 Introduction to Power Systems Homework # 6 SOLUTIONS 4-6. The flux density distribution over the surface of a two-pole stator of radius r and length l is given by cos( ) Mm BB t Z D ± Prove that the flux density under each pole face is 2 M rlB I Solve first specifically for a 2-pole and then for a 4-pole machine and generally for a P- pole machine SOLUTION (a) P = 2: Seen from the rotor the flux density becomes time independent cos( ) M , since the rotor spins with the mechanical angular velocity Z m . The flux penetrating an infinitesimal small area dd Al r ²² is d cos( )d M lrB DD and the total flux under each pole face is the aerial integral of this d . In a 2-pole machine one pole face (e.g. one north pole) reaches over 180 q from D = -90 q to D = 90 q (assuming the peak flux density B M at D = 0). Therefore, the total flux becomes 2 2 2 2 cos( )d sin( ) sin( ) sin( ) 2 22 MM M M rlB rlB rlB rlB S SS ID ± ± ªº
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

Ask a homework question - tutors are online