Assume the steady-state abc variables are of the form:
Fas = root(!et)
Fbs = root2Fbcos(!et − 2pi/3)
Fcs = root2Fccos(!et + 2pi/3)
where Fa , Fb , and Fc are unequal constants. Show that this unbalanced set of abc variables
forms two-phase balanced sets of qs and ds variables in the arbitrary reference frame with the
arguments of (omegae.t − theta)and (omegae.t + theta).
Note the form of the qs and ds variables when !e= ! and !e= -!.