The table below shows the averaged load cycle of a 1000 kVA, 11,000/400 V distribution transformer for a period of 24 hours. The transformer has core losses equal to 7 kW and full-load copper losses equal to 12 kW. Table 1 Averaged load cycle of a distribution transformer Duration (hours) 6 4 8 6 Loading factor (X %) 40 60 90 75 0.7 lagging Power Factor 0.8 lagging 0.95 lagging 0.85 lagging (a) Using the information from the table, sketch a graph of power output versus time. (5 marks) (b) Calculate the total energy output in 24 hours. [3 marks] (c) Calculate the total energy lost in form of copper losses in 24 hours. [3 marks] (d) Calculate the total energy lost in form of core losses in 24 hours. [2 marks] (e) Calculate the energy efficiency of the transformer in 24 hours.