This preview shows page 1. Sign up to view the full content.
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 ∈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:
j ∈E (i) pin + li ,
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
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.
- Fall '13
- The Aeneid