Reference no: EM133024254

Problem 1. ACBD Matrix Formalism

For the lens described below use a software package of your choice (excel, MATLAB, etc) to implement ABCD matrix formalism to draw 3 rays
through the lens, with the following conditions outlined below. Lens: n=1.55, R1=28cm, R2=-22cm, d=9cm.

A. A collimated beam, 3 rays, different heights, transverse a distance 100 cm past the last lens surface

B. 3 rays, different angles, from an object point 20 cm to the left of the first lens surface, on the optical axis. Track the rays to 100 cm past the last lens surface

C. 3 rays, different angles, from an object point 20 cm to the left of the first lens surface, a height of 1 cm above the optical axis. Track the rays to 100 cm past the last lens surface

D. What is the optical system doing?

E. What assumptions are you making to use ABCD matrix formalism?

Problem 2. Zemax

Use Zemax to insert a doublet lens with a focal length between 12 and 20 mm.

A. Describe the lens that you picked.

B. Pass collimated light of width 3 mm into the lens. Generate a plot of the focus for 500 nm light, 575 nm light and 625 nm light. Comment on the spot size, spot shape and aberrations.

C. Flip the orientation of the lens and carry out the same analysis stated in part a. Which orientation provides a better spot profile? Why do you think that is the case?

D. Repeat b and c with collimated light of width 15 mm. Do you observe any differences in the spot size, shape or aberrations? Why do you think this is the case?

Problem 3.
Please use and modify the attached sample unit commitment code and finish the following exercises.

Note that operating cost includes fuel cost, start-up cost, and no-load cost. In each question, mention how you modified the sample code, list and discuss results.

1. Solve the unit commitment problem using the attached code. What is the total operating cost?

2. Assume the utility charges consumer using the marginal generation cost, how much revenue will the utility company collect? Was the utility able to profit? Why?

3. Perform the unit commitment again with 80% system demand over all hours (i.e., for the first period the demand changes to 360 MW), what is the total operating cost now?

4. Assume the utility company already scheduled the commitment status with 100% load, but during the day system demand dropped to 80%. Hence the utility cannot change the on/off status of generators, but can adjust the generation of started units. What is the total operating cost? Is it different from the previous question? Why?

5. Perform the unit commitment again using 100% load, but now assume each unit has a 100 MW/h ramp rate. What is the total operating cost now? What is different now from the case without ramp limits?

Attachment:- Optical Programming Problems.rar