Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

The problem goes like this: We have two identical 3-phase Delta-Y transformers w

ID: 2957637 • Letter: T

Question

The problem goes like this:

We have two identical 3-phase Delta-Y transformers which are connected to a power grid in the manner that when a transformer is in operation, the other is on standby, and if it fails, the one on standby is put into service, and the other one will be put on standby until the second transformer fails.

X is the time to failure of the first transformer, and Y the time of the standby after failure of the first transfomer.

I need to find the probability that the duration of the first operation-failure cycle exceeds 2*lambda, and the brobability that the standby outlasts the other transformer by more than lambda during the 1st operation-failure cycle.

Explanation / Answer

can you give the question clearly We have two identical 3-phase Delta-Y transformers which are connected to a power grid in the manner that when a transformer is in operation, the other is on standby, and if it fails, the one on standby is put into service, and the other one will be put on standby until the second transformer fails. X is the time to failure of the first transformer, and Y the time of the standby after failure of the first transfomer. I need to find the probability that the duration of the first operation-failure cycle exceeds 2*lambda, and the brobability that the standby outlasts the other transformer by more than lambda during the 1st operation-failure cycle.