PSOC EE429: ELD Topic

Two thermal units have fuel cost functions:
F1​(P1​)=500+8P₁​+0.01P₁² and

F2​(P2​)=400+10P₂​+0.012P₂²​.

• P₁​=100 MW, P₂​=50 MW

• P₁​=127.27 MW, P₂​=22.73 MW

• P₁​=90 MW, P_2​=60 MW

• P₁​=75 MW, P_2​=75 MW

Three units with cost functions:
F1=100+8P₁+0.01P₁²,  F2=120+6P₂+0.02P₂²,  F3=150+5P₃+0.025P₃².
If P_D=180 MW (neglect losses), the best rounded dispatch (P1,P2,P3) is:

• (36.84, 68.42, 74.74) MW

• (60, 60, 60) MW

• (30, 90, 60) MW
  

• (45, 45, 90) MW

If a unit has F(P)=300+12P+0.02P², the incremental cost at P=60 MW:

• 14.4 $/MW

• 16.21 $/MW

• 12.0 $/MW

• 18.0 $/MW

Economic Load Dispatch is generally based on:

• Generator rating only
  

• Incremental fuel cost of generators
  

• Voltage profile of the system
  

• Transmission line reactance

In ELD, Penalty Factor is used to:

• Compensate for fuel cost variations

• Adjust generation considering transmission losses

• Maintain constant frequency

• Increase plant efficiency