bv_cvxbook_extra_exercises

Bv_cvxbook_extra_exercises

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

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

Unformatted text preview: ttached to nodes i = k + 1, . . . , n. We let gi denote the (nonnegative) power injected into node i by its generator, for i = 1, . . . , k . We let li denote the (nonnegative) power pulled from node i by the load, for i = k + 1, . . . , n. These load powers are known and fixed. We must have power balance at each node. For i = 1, . . . , k , the sum of all power entering the node from incoming transmission lines, plus the power supplied by the generator, must equal the sum of all power leaving the node on outgoing transmission lines: pout + gi = j j ∈E (i) pin , j i = 1, . . . , k, j ∈L(i) where E (i) (L(i)) is the set of edge indices for edges entering (leaving) node i. For the load nodes i = k + 1, . . . , n we have a similar power balance condition: pout = j j ∈E (i) pin + li , j j ∈L(i) 142 i = k + 1, . . . , n. Each generator can vary its power gi over a given range [0, Gmax ], and has an associated cost of i generation φi (gi ), where φi is convex and strictly increasing, for...
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 University of California, Berkeley.

Ask a homework question - tutors are online