**Show sufficient work.**

**You are required to submit a report that explains with sufficient level of detail how the results are obtained. Also, you need to submit your codes (if any). Everything should be submitted on BB in a single zipped file.**

Suppose the available candidate plant is:

B: 250 MW thermal power plant (with coal fuel)

The plants specifications are provided in Table 5.1.

- Assume that, the existing generation capacity is 500 MW, consisting of two already committed
**type-B**units (2 * 250). - The peak load of the existing system (i.e. year 0) is 500 MW. The peak load grows by 30 MW annually, so that at the end of the 20-years period is 1100 MW.
- The discount rate is taken to be 10%.
- The salvage value (before discounting) is assumed to be (life time of equip – no. of operation yrs)/(life time of equip) * investment cost

You are required to devise a 20-year plan (i.e. determine the number of units of **type B **that needs to be installed in each of the next 20 years such that the total cost is minimized and all constraints are met). You are **not** required to solve this as a formal optimization problem. At this stage, you may attempt to find the optimal solution by making educated guesses and/or trying different reasonable combinations. In each case, report the levelized cost of energy (LCOE) in R/kWh.

- Consider the load to be flat throughout the year at the peak load level. That is, the load in year 1 is flat 530 MW, year 2 is flat 560 MW, and so on.
- Consider the peak load to grow as given above. However, consider the load to follow the following normalized annual LDC:

*Normalized load* = 1 – 0.6*D*, where

- Consider the load to follow the normalized LDC defined in Part (b). Also, the required LOLP must be less than 2%. Assume that FOR
_{B}= 5%.

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