A 3-phase overhead line has a reactance of 0.5 pu. The sending end voltage is 1∠δ°. In order to maintain the receiving end voltage equal to the sending end voltage, a synchronous phase modifier is installed. Determine the rating of the modifier (MVAR) when the load at the receiving end is 0.75 pu at 0.8 pf lagging. Take 100 MVA as the base.
Enter numerical value using the virtual keypad. Round off where necessary.