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power flow optim ..............
Typology: Schemes and Mind Maps
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DTU Summer School 2017
Spyros Chatzivasileiadis
(^) RTE, France: they invented the OPF! (Carpentier,
CAISO, California, USA
PJM, East Coast, USA
EUPHEMIA
PLEXOS
Economic Dispatch
(^) DC-OPF
AC-OPF
Economic Dispatch
Economic Dispatch
DC-OPF
AC-OPF
i
i
i
i
(^) The Economic Dispatch does not consider any network ows or network constraints!
(^) We assume a copperplate network, i.e. a lossless and unrestricted ow of electricity from A to B.
0 A B C D
cG 1
cG 2
cG 3
cG 4
price
power
A = P (^) Gmax 1
B = A + P (^) Gmax 2
C = B + P (^) Gmax 3
D = C + P (^) Gmax 4
0 A B C D
cG 1
cG 2
cG 3
cG 4
price
power PD
A = P (^) Gmax 1
B = A + P (^) Gmax 2
C = B + P (^) Gmax 3
D = C + P (^) Gmax 4
Merit-Order of the German conventional generation in 2008. Source: Forschungsstelle fur Energiewirtschaft e. V.
0 A B C D
cG 1
cG 2
cG 3
cG 4
price
power PD
(^) Although G3 has enough capacity, it cannot produce enough to cover the demand due to line congestion
(^) Instead G4, a more expensive gen that does not contribute to the line congestion, must produce the missing power
(^) In a DC-OPF context, there is no longer a single system marginal price
14 (we will observe different nodal prices in different nodes)DTU Electrical Engineering Optimal Power Flow (DC-OPF and AC-OPF) Jun 12, 2017