Smooth-Air-Gap Machines Stator(a)axis 0 Rotor axis Stator(b)axis 0000 Schematic representation of smooth-air-gap synchronous machine with field(dc)winding on the rotor and balanced two-phase stator (armature)winding. 入as=L,s+Mic0s0 入bs=Lsbs+Mi,sin0 入，=L,l+M(ias sin0+ios sin0) dw ias das ips daps +i dr-Te de d(w -ias as -ios ts -i)=-dw' W'=isas+s入bs+i,-W co-energy dw'=as dias +ps dips di Te de 6.641,Electromagnetic Fields,Forces,and Motion Lecture 13 Prof.Markus Zahn Page 12 of 146.641, Electromagnetic Fields, Forces, and Motion Lecture 13 Prof. Markus Zahn Page 12 of 14 λ +θ as s as r = L i Mi cos λ +θ bs s bs r = L i Mi sin λ + θ+ θ r r r as bs = L i M i sin i sin ( ) e dw = i d i d i d T d as as bs bs r r λ + λ + λ− θ ( ) − λ− λ−λ − d w i i i = dw' as as bs bs r r w' = i i i w as as bs bs r r λ + λ + λ− co−energy e dw' = di di di T d as as bs bs r r λ +λ +λ + θ