a) The transformation for a 2-phase set to the arbitrary reference frame is given by:
(Cqds)T = [fas fds] (Cabs)T = [fas fbs cos 0 sin 0; Kzs sin 0 cos 0]
where 0 is defined by W = dθ.
Express the voltage equations in the arbitrary reference frame for a 2-phase resistive circuit if:
(a) ra = Tb = Ts
(b) Ta ≠rb
b) Using the transformation given in Problem &, express the voltage equations in the arbitrary reference frame for a 2-phase inductive circuit if:
(a) La = Lb = L
(b) La ≠Lb
c) Using the transformation given in Problem ( , express the current equations in the arbitrary reference frame for a 2-phase capacitive circuit if:
(a) Ca = Cb = C
(b) Ca ≠Cb
d) The phases of a 3-phase circuit consist of equal resistances, equal inductances, and equal capacitances connected in series. The phases are not coupled. Write the voltage equations in the arbitrary reference frame and draw the equivalent circuit. You should be able to use results from above.