A company has multiple production lines containing a great number of induction  
motors and other inductive loads, resulting in a low power factor. When the company  
is operated at its full production capacity, the total power consumption is 2 MW and  
the power factor 0.65 lagging, but the grid power supply requires the power factor to  
be no less than 0.80 lagging. For power factor compensation, a 3 phase, star  
connected, 4 pole, 6000 V (line-line), 50 Hz, round rotor synchronous machine is  
operated as a motor at no load. The synchronous reactance of the machine is 15 ohms per  
phase, and the field current is 150 A DC when the stator open circuit terminal voltage  
equals the rated voltage. Assume a linear open circuit characteristic and ignore the  
stator winding resistance and all rotational power losses.  

(a) Calculate the capacity in MVA of the synchronous machine required to achieve  
the satisfactory power factor;  

(b) Calculate the corresponding field current.