In a building, it is found that 60 fluorescent luminaires are needed as well as 90 receptacle outlets. Each receptacle has a load of 180 VA and operates at 120 V with a power factor of 0.90 while each fluorescent luminaire has four lamps and is designed to operate at 120 V and requires 2.5 A. Each lamp uses 40 W, and the ballast supplying all four lamps requires an additional 25 W. The entire load is served by 480Y/277– 208Y/120 V transformer. Determine the following:

(a) Estimate the power factor for each fluorescent luminaire.

(b) Calculate the total load in kVA connected to the transformer.

(c) Show the transformer connections and the number of receptacles and luminaires connected to each phase to ensure that the system is balanced.

(d) Determine the phase and the line currents in both the secondary and the primary windings of the transformer.