ECE 476 POWER SYSTEM ANALYSIS. Lecture 18 Optimal Power Flow, LMPs Professor Tom Overbye Department of Electrical and Computer Engineering. Announcements. Homework 8 is 11.19, 11.21, 11.26, 11.27, due now Homework 9 is 7.1, 7.17, 7.20, 7.24, 7.27
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Optimal Power Flow, LMPs
Professor Tom Overbye
Department of Electrical andComputer Engineering
The area supply curve shows the cost to produce the
next MW of electricity, assuming area is economically
Below are some graphs associated with this two bus system. The graph on left shows the marginal cost for each of the generators. The graph on the right shows the system supply curve, assuming the system is optimally dispatched.
Current generator operating point
With no overloads the
Transmission line is not overloaded
Marginal cost of supplying
power to each bus (locational marginal costs)
With the line loaded to its limit, additional load at Bus A must be supplied locally, causing the marginal costs to diverge.
Line from Bus 1
to Bus 3 is over-
loaded; all buses
LP OPF redispatches
to remove violation.
costs are now
One additional MW
of load at bus 3
raised total cost by
14 $/hr, as G2 went
up by 2 MW and G1
went down by 1MW
For bus 3 loads
above 200 MW,
the load must be
Then what if the
bus 3 generator
LMP at one location was actually negative ($-302/MWh)!