IGEE402_Galiana_Fall_2010_Midterm_Solutions

# IGEE402_Galiana_Fall_2010_Midterm_Solutions - POWER SYSTEM...

This preview shows pages 1–2. Sign up to view the full content.

POWER SYSTEM ANALYSIS MID-TERM TEST SOLUTIONS WEDNESDAY, NOVEMBER 3, 2010 PROF. F.D. GALIANA 9:30 TO 12:00 YOU MAY BRING INTO THE TEST ROOM A SINGLE 8.5 BY 11 INCH PAGE WITH NOTES ALL QUESTIONS HAVE EQUAL WEIGHT FOR A MAXIMUM OF 70 POINTS SI VOUS PRÉFÉREZ, RÉPONDEZ EN FRANCAIS (1) Consider a power plant supplying 1000 MW to a power system. The power generated by the plant has to pass through 5 step-up transformers, each one rated at 200 MVA. The unavailability of each transformer is 0.1. Find the loss of load probability. Find the probability of the power plant being able to supply only 200 MW. Solution: The transformers are in parallel. Then LOLP = Probability that one or more transformers will be unavailable = 1-Probability that all transformers are available = 1 A 5 = 1 (0.9) 5 = 0.4095. The probability of supplying only 200 MW is the probability of only one transformer being available and 4 being unavailable, that is, 5AU 4 = 5(0.9)(0.1) 4 = 4.5x10 -4 .

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern