6(s)=[y2(s)+Y"(s)[Vb(s)+V(s)-I(s) Al(s)=0 and Vb(s)=A V(s) AY (S)+Y(SJA V,(S)=Als(S)-AlYe(s)+r(s)Is(s) or A(SAT, (s)=A,(s)-Y,(s)V(s) b(s)=le(s)+r(s)--branch admit tance matrix Let Y,(s)=AY(S)A J,(s)=-Alb(s)Vs(s)+Als(s) The node voltage equations are Y (SV(s)=J,(s)I (s) [Y (s) Y (s)][V (s) V (s)] I (s) b e b s s • • • •  • • = + + − AI (s) 0 and V (s) A V (s) n T b b • • • • • •  = = AI (s) A[Y (s) Y (s)]V (s)] s e s • •  • • • • A[Y (s) Y (s)]A V (s) = − + n T e • • •  • • + A[I (s) Y (s)V (s)] s b s • • • • or AY (s) A V (s) = − n T b • • • • Yb (s) = Ye (s)+Y (s)− −branch admit tance matrix •  • • • • • • = T Let Yn (s) AYb (s) A J (s) AY (s)V (s) AI (s) n b s s • • • • • • = − + The node voltage equations are Y (s)V (s) J (s) n n n • • • =