8. (a) In the network shown in Figure 3, two single-phase transformers supply a 10 kVA resistive load at 200 V. Show that the per unit load resistance value is the same for each part of the circuit (i.e. in C, B and A) and calculate the voltage V, and voltage at point D in per unit and in Volts. 100:400 V X=0.1 p.u 10 kVA B Figure 3 200 v 400-200 V X=0.15 pu 10 kVA (b) Figure 4 shows the schematic diagram of a three-phase radial transmission system. The ratings and reactances of various components are shown, along with their nominal transformer line voltages. A load of 50 MW at 0.8 power factor lagging is taken from the 33 kV substation, which is to be maintained at 30 kV. Calculate the terminal voltage of the synchronous machine. The line and transformers may be represented by series reactances. 11 kV 132 kV 132 kV 33 kV 50MW Line O-8pf 50MVA 1100 Ω X=10% ३. 50 MVA X=12% logging 30KV Figure 4 (c) Express in per unit all the quantities shown in the line diagram of the three- phase transmission system shown in Figure 5. Construct the single-phase equivalent circuit. Use a base of 100 MVA. The line is 80km in length with resistance and reactance of 0.12 and 0.5 2 respectively, and a capacitive susceptance of 10μS per km (split equally between the two ends. 500 MVA Generator 2 p.u. 22/400 kV 0.1 p.u reactance HHHH Line Line HHHH. Load 500 MVA 0.85 p.f. lag 400/11 kV 0.15 p.u reactance Figure 5