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Mathematical Problems in Engineering
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2012
/
Article
/
Tab 2
/
Research Article
Dynamic Economic Dispatch Using Hybrid DE-SQP for Generating Units with Valve-Point Effects
Table 2
Hourly generation (MW) schedule of 10-unit system without losses using DE-SQP.
Hour
𝑃
1
𝑃
2
𝑃
3
𝑃
4
𝑃
5
𝑃
6
𝑃
7
𝑃
8
𝑃
9
𝑃
1
0
1
2
2
6
.
2
6
8
0
1
3
5
.
0
0
0
0
7
3
.
3
7
2
1
6
4
.
0
2
8
0
1
2
3
.
9
0
5
2
1
2
3
.
9
2
0
0
1
2
9
.
7
8
5
2
8
4
.
7
2
1
5
2
0
.
0
0
0
0
5
5
2
2
2
3
.
7
1
2
7
1
3
7
.
2
8
3
3
7
5
.
0
0
6
8
1
1
4
.
0
2
8
0
1
7
3
.
5
2
9
5
1
2
6
.
5
1
2
4
1
2
9
.
8
1
6
5
5
5
.
0
2
3
5
2
0
.
0
8
7
1
5
5
3
3
0
1
.
2
8
3
8
2
1
7
.
1
9
6
2
1
4
8
.
4
1
5
7
6
4
.
4
8
7
0
1
2
3
.
8
1
1
8
1
2
0
.
6
9
3
2
1
2
9
.
5
2
1
7
7
7
.
5
9
0
7
2
0
.
0
0
0
0
5
5
4
3
0
2
.
6
6
5
7
2
2
5
.
8
8
9
8
1
9
7
.
9
2
5
7
1
1
4
.
4
8
7
0
1
2
2
.
4
4
1
2
1
6
0
.
0
0
0
0
1
3
0
.
0
0
0
0
4
7
.
5
9
0
7
5
0
.
0
0
0
0
5
5
5
3
0
2
.
9
8
8
5
3
0
5
.
7
0
3
8
2
1
7
.
5
0
3
7
1
1
9
.
5
7
7
8
1
2
2
.
8
3
7
9
1
5
9
.
9
0
0
3
1
2
9
.
4
8
7
9
4
7
.
0
0
0
0
2
0
.
0
0
0
0
5
5
6
3
7
9
.
2
9
0
9
3
0
8
.
5
8
4
5
2
9
7
.
3
8
6
3
1
2
5
.
2
9
3
3
1
7
2
.
8
3
7
9
1
2
2
.
3
6
5
1
9
9
.
4
8
7
9
4
7
.
7
5
4
2
2
0
.
0
0
0
0
5
5
7
3
7
6
.
1
4
2
5
3
1
3
.
2
1
8
1
2
9
9
.
8
2
4
9
1
7
5
.
2
9
3
3
1
2
4
.
3
1
6
7
1
6
0
.
0
0
0
0
1
0
0
.
2
2
5
2
7
7
.
7
5
4
2
2
0
.
2
2
5
2
5
5
8
4
5
5
.
9
1
7
3
3
9
2
.
9
9
2
9
2
4
6
.
5
7
4
2
1
3
0
.
5
7
1
1
1
7
0
.
4
5
6
9
1
1
9
.
9
5
8
9
1
3
0
.
0
0
0
0
5
4
.
5
2
8
7
2
0
.
0
0
0
0
5
5
9
4
5
6
.
3
7
0
7
4
0
1
.
4
4
9
9
3
2
6
.
5
7
4
2
1
8
0
.
5
7
1
1
1
7
3
.
0
7
6
6
1
2
4
.
5
3
3
0
1
0
1
.
8
9
5
9
8
4
.
5
2
8
7
2
0
.
0
0
0
0
5
5
1
0
3
8
3
.
4
9
5
6
4
0
0
.
8
3
2
3
3
2
8
.
1
3
5
5
2
3
0
.
5
7
1
1
2
2
1
.
4
5
8
3
1
6
0
.
0
0
0
0
1
2
7
.
9
7
8
4
1
1
4
.
5
2
8
7
5
0
.
0
0
0
0
5
5
1
1
4
5
5
.
4
9
1
2
4
6
0
.
0
0
0
0
3
0
2
.
9
2
5
4
2
4
5
.
0
5
5
1
1
7
3
.
4
9
2
4
1
6
0
.
0
0
0
0
1
2
8
.
7
6
0
1
8
5
.
2
7
5
8
8
0
.
0
0
0
0
5
5
1
2
4
5
7
.
9
6
0
0
4
6
0
.
0
0
0
0
3
3
9
.
5
1
8
3
2
3
7
.
7
7
3
6
2
2
3
.
4
3
8
7
1
6
0
.
0
0
0
0
1
2
9
.
3
0
9
4
7
7
.
0
0
0
0
8
0
.
0
0
0
0
5
5
1
3
4
5
4
.
8
7
2
7
4
6
0
.
0
0
0
0
3
0
0
.
1
1
2
2
1
8
7
.
7
9
1
8
2
2
9
.
2
4
5
3
1
6
0
.
0
0
0
0
1
2
7
.
9
4
1
6
4
7
.
0
1
8
2
5
0
.
0
1
8
2
5
5
1
4
3
7
8
.
7
6
4
8
3
8
9
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8
5
0
3
2
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8
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0
1
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0
2
2
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9
4
5
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6
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1
6
0
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.
6
4
7
3
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.
0
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1
1
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4
4
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3
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1
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6
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6
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1
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3
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1
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3
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1
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1
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1
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4
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1
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0
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0
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1
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2
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1
1
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1
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1
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3
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0
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7
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3
4
3
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3
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3
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3
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6
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7
1
2
4
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8
2
8
5
9
5
.
9
1
3
8
7
7
.
0
0
0
0
2
0
.
0
3
9
9
5
5
2
4
1
5
0
.
0
0
0
0
2
2
5
.
3
0
5
1
1
8
6
.
0
5
5
1
1
8
0
.
6
4
0
3
7
3
.
3
9
0
8
1
2
1
.
6
5
0
6
1
2
4
.
9
5
8
1
4
7
.
0
0
0
0
2
0
.
0
0
0
0
5
5
