3.2 Dispatch with Three-Segment Piecewise Linear Incremental Heat Rate Function Given: two generating units with incremental heat rate (IHR) curves specified as three connected line segments (four points as shown in Figure 3.30). Unit 1: Point MW IHR (Btu/kWh) 100 7,000 200 8,200 3 300 8,900 4 400 11,000 Fuel cost for unitI=1.60S/MBtu Unit 2: Point MW IHR (Btu/kWh) 150 275 390 450 Fuel cost for unit 2=2.10$/MBIU 7500 7700 3 8100 8500 4 Both units are running. Calculate the optimum schedule (i.c., the unit megawatt output for each unit) for various total megawatt values to be supplied by the units. Find the schedule for these total megawatt values: 300 MW. 500 MW. 700 MW, 840 MW
3.2 Dispatch with Three-Segment Piecewise Linear Incremental Heat Rate Function Given: two generating units with incremental heat rate (IHR) curves specified as three connected line segments (four points as shown in Figure 3.30). Unit 1: Point MW IHR (Btu/kWh) 100 7,000 200 8,200 3 300 8,900 4 400 11,000 Fuel cost for unitI=1.60S/MBtu Unit 2: Point MW IHR (Btu/kWh) 150 275 390 450 Fuel cost for unit 2=2.10$/MBIU 7500 7700 3 8100 8500 4 Both units are running. Calculate the optimum schedule (i.c., 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: 300 MW. 500 MW. 700 MW, 840 MW
Introductory Circuit Analysis (13th Edition)
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Chapter1: Introduction
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Transcribed Image Text:Three-Segment Piecewise
Linear Incremental Heat Rat...
3.2 Dispatch with Three-Segment Piecewise Linear Incremental Heat Rate
Function
Given: two generating units with incremental heat rate (IHR) curves specified
as three connected line segments (four points as shown in Figure 3.30).
Unit 1:
Point
MW
IHR (Btu/kWh)
100
7,000
8,200
200
3
300
8,900
4
400
11,000
Fuel cost for unit 1=1.60$/MBtu
Unit 2:
Point
MW
IHR (Btu/kWh)
7500
7700
150
275
390
450
Fuel cost for unit 2=2.10$/MBtu
3
8100
8500
Both units are running. Calculate the optimum schedule (i.c., 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:
300 MW. 500 MW. 700 MW, 840 MW
Notes: Piecewise linear increment cost curves are quite common in digital com-
puter executions of economic dispatch. The problem is best solved by using a
"search" technique. In such a technique, the incremental cost is given a value and
the units are scheduled to meet this incremental cost. The megawatt outputs for the
units are added together and compared to the desired total. Depending on the
difference, and whether the resulting total is above or below the desired total, a new
value of incremental cost is "tried." This is repeated until the incremental cost is
found that gives the correct desired value. Thc trick is to search in an efficient
manner so that the number of iterations is minimized.
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