The symmetrical components of a set of unbalanced, three-phase voltages are Vo = 0.6290°, V₁ = 1.0230°, and V₂ = 0.82-30°. Obtain the original unbalanced phasors. Explain how real, reactive, and complex power are drawn on a complex plane. How is the phase of voltage relative to current represented on such a diagram? Recall that a FACTS can manipulate the impedance of a line X in order to control or optimize power flow. Show mathematically why reactive power provided to a FACTS-controlled transmission line must be increased as the impedance is decreased. Explain how symmetric components can be used to analyze a fault. If the above process is automated, what communication is required?