bv_cvxbook_extra_exercises

# 141 you will show that the dc power ow equations can

This preview shows page 1. Sign up to view the full content.

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

Unformatted text preview: y sources, such as coal-ﬁred plants, several wind farms, and solar farms. Our job is to size each of these, i.e., to choose its capacity. We will denote by ci the capacity of plant i; these must satisfy cmin ≤ ci ≤ cmax , where i i cmin and cmax are given minimum and maximum values. i i Each generation source has a cost to build and operate (including fuel, maintenance, government subsidies and taxes) over some time period. We lump these costs together, and assume that the cost is proportional to ci , with (given) coeﬃcient bi . Thus, the total cost to build and operate the energy sources is bT c (in, say, \$/hour). Each generation source is characterized by an availability ai , which is a random variable with values in [0, 1]. If source i has capacity ci , then the power available from the plant is ci ai ; the total power available from the portfolio of energy sources is cT a, which is a random variable. A coal ﬁred plant has ai = 1 almost always, with ai < 1 when one of its units is down for maintenance. A wind farm, in contrast, is char...
View Full Document

## This note was uploaded on 09/10/2013 for the course C 231 taught by Professor F.borrelli during the Fall '13 term at Berkeley.

Ask a homework question - tutors are online