lecture 7 Power, Transmission_v.2

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Unformatted text preview: –  SaTsfy transmission constraints Least Cost Dispatch min ck Pk (1) Pk + Lk = 0 (2) k subject to security constraint: transmission constraints: Tl Alk Pk Tl , l (3) k generator constraints: Pk Kk , k (4) Least Cost Dispatch min ck Pk (1) Pk + Lk = 0 (2) k subject to security constraint: transmission constraints: Tl Alk Pk Tl , l (3) k generator constraints: Pk First Order Conditions: L = cp ( (4) Kk , k P + L) (T Ap) etc 0 (5) l + l )Alk (6) k (Kk Pk ) = 0 (7) Alk Pk ) = 0 (8) Alk Pk ) = 0 (9) ck k k = ( + + k l + l (Kl k l (Kl + k First Order Conditions: L = cp ( P + L) (T Ap) etc 0 (1) l + l )Alk (2) k (Kk Pk ) = 0 (3) Alk Pk ) = 0 (4) Alk Pk ) = 0 (5) ck k k = ( + + k l + l (Kl k l (Kl + k NOTES: If ck > + k and If ck < + k then k 0 then Pk = 0. > 0 and Pk = Kk . If transmission is not constrained then one-dimensional LCD. + = = k = 0 and get standard If lower transmission constraint is binding then l > 0, + = 0 so contribul tion to k is positive. Want more transmission available on line l Resnick Institute workshop October 13, 2011 Sean Meyn Univers...
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