Both units are running. Calculate the optimum schedule (i.e., the unit megawatt output for each
unit) for various total megawatt values to be supplied by the units. Find the schedule for these
total megawatt values :
Computer Applications for Power System
Homework #2
Name
:
Jovan Lucky Surya (蘇祥安)
Student ID
:
M971Y210
300 MW
500 MW
700 MW
840 MW
Dispatch with Three-Segment Piecewise Linear Incremental Heat Rate Function
Given : Two generating units with incremental heat rate curves (IHR) specified as three
connected line segments (four points as shown in Figure 3.14).
Eq 1:
Eq 8
Subtitute Eq 8 to Eq 6
Eq 2 :
c. System demand is 700 MW
a. System demand is 300 MW
Eq 9
Eq 3
Solving for ࣅ:
Solving for ࣅ:
Substitute Eq 9 to Eq 1:
Substitute Eq 3 to Eq 1:
Eq 10
Subtitute Eq 2 = Eq 10
Eq 4
Subtitute Eq 2 = Eq 4
Eq 11
Subtitute Eq 11 to Eq 9
Eq 5
Subtitute Eq 5 to Eq 3
d. System demand is 840 MW
b. System demand is 500 MW
Eq 12
Eq 6
Solving for ࣅ:
Solving for ࣅ:
Substitute Eq 12 to Eq 1:
Substitute Eq 6 to Eq 1:
Eq 13
Subtitute Eq 2 = Eq 13
Eq 7
Subtitute Eq 2 = Eq 7
Eq 14
Subtitute Eq 14 to Eq 12
Result Table :
Schedule (MW)
P1 (MW)
300 MW
80.435
P2 (MW)
219.565
500 MW
135.882
364.118
700 MW
188.056
511.944
840 MW
219.130
620.869