A three-phase two-pole winding is excited by balanced three

A three-phase two-pole winding is excited by balanced three-phase 60-Hz currents as described by Eqs. 4.23 to 4.25. Although the winding distribution has been designed to minimize harmonics, there remains some third and fifth spatial harmonics. Thus the phase-a mmf can be written as Fa = ia (A1 cos ?a + A3 cos 3?a q + A5 cos 5?a) Similar expressions can be written for phases b (replace ?a by ?a – 120째) and c (replace ?a by ?a + 120째). Calculate the total three-phase mmf. What is the angular velocity and rotational direction of each component of the mmf?