A 100 km long, three phase 50 hz transmission line has resistance per phase per km of 0.1 ohms, reactance per phase per km of 0.5 ohms, susceptance per phase per km of 10 x 10-6 siemens. If the line supplies a load of 20 MW at 0.9 pf lagging at 66 KV at the receiving end, calculate the regulation and efficiency of the line using the following assumptions:
a. nominal pi vector solution
b. nominal T vector solution
c. using end condenser method
d. using the ABCD constant of a long transmission line.
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