Both loss-of-excitation protection and out-of-step protection are based on the impedance changing track during the faulty period. However， in some cases， the areas for the loss-of-excitation protection and out-of-step protection may overlap and therefore cause logic conflicts between the two protections. This paper presents two solutions to solve the conflict， either by deleting the left handed half circle or monitoring the impedance directions in the third quadrant of impedance coordinate plane. They are effective in preventing loss-of-excitation protection from action on any out-of-step fault.