A $3-$phase synchronous generator is connected to an infinite bus through two $(2)$ parallel

transmission lines, each with a series reactance of j$0\mathrm{.}4$ per unit. The synchronous

generator has a series synchronous reactance equal to j$0\mathrm{.}6$ per$-$unit. The infinite bus is

receiving a total complex power equal to $1\mathrm{.}0$ per unit and the power factor at the system

is equal to $0\mathrm{.}95$ lagging.

a$)$ Determine the magnitude and angle of the current delivered to the infinite bus

system. $(7$ points$)$

b$)$ Determine the induced voltage $($E $$ magnitude and angle$)$ associated with the

synchronous generator. $(8$ points$)$

A relay mis$-$operation forces one of the parallel lines to be taken out$-$of$-$service.

c$)$ Determine if the generator will remain in service. $(10$ points$)$

d$)$ If the generator remains in service, determine the maximum value of the angle $$

between the induced voltage and the infinite bus system. $(10$ points$)$