1. We have the following two synchronous generators operating in parallel, feeding a total load of 500kVA at a power factor of 0.87 lagging and a phase voltage of Vr=3000V. The power is equally divided between the three phases. Generator 1: 300 kVA, 3000V, four-pole, three-phase, 50Hz. Prime mover: no-load speed: 1530rpm, full-load speed: 1480rpm. Open-circuit voltage (EA1) in terms of inductive reactive power of one phase (Q1) and terminal voltage (VT):EA1=VT+(5/VT)Q1 Generator 2: 220kVA,3000V, six-pole, three-phase, 50Hz with Xs=12 and RA=0. Prime mover: No-load speed 1050rpm, full-load speed: 960rpm. Open-circuit voltage (EA2) in terms of inductive reactive power of one phase (Q2):EA2=VT+(4/VT)Q2 a. Calculate sp 's of the generators 1 and 2 . b. Find the real power supplied by each of the generators. c. Find the frequency of the generators. d. What would you do to change the operating frequency to 50Hz ? e. If the reactive powers are equally divided, what are the open-circuit (EA) voltages of the generators with the real power division of part d ? f. Find the operating kVA of each generator. Find out if any generator has exceeded its rating. g. If there is a rating violation, propose a solution to correct the problem for the given load and the terminal voltage. Hint: You can change the open-circuit voltage of a generator by changing its field current (IF)