Table 1 Stable operation regions table Units: 10,000 kW
Unit No.
|
Type of unit
|
75m
|
88m
|
107m
|
1#—6#
|
VGS
|
41.0~64.5
|
47.5~70.0
|
57.0~70.0
|
7#—14#
|
Left bank Alstom
|
43.5~64.0
|
52.5~70.0
|
61.5~70.0
|
15#—18#
|
Ha Electric
|
38.5~57.5
|
46.5~70.0
|
58.5~70.0
|
19#—22#
|
East Electric
|
39.0~61.5
|
47.0~70.0
|
58.5~70.0
|
23#—26#
|
Right bank Alstom
|
43.0~66.5
|
50.0~70.0
|
59.5~70.0
|
Table 2 The optimal scheduling table obtained by IWOA
Water
|
Time
|
Unit generation(MW)
|
head
|
period
|
1#
|
2#
|
3#
|
4#
|
5#
|
6#
|
7#
|
8#
|
9#
|
10#
|
11#
|
12#
|
13#
|
14#
|
15#
|
16#
|
17#
|
18#
|
19#
|
20#
|
21#
|
22#
|
23#
|
24#
|
25#
|
26#
|
75m
|
1
|
410
|
510
|
510
|
510
|
510
|
543
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
473
|
470
|
480
|
480
|
490
|
0
|
0
|
0
|
510
|
510
|
510
|
510
|
|
2
|
410
|
510
|
510
|
510
|
510
|
543
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
473
|
470
|
480
|
480
|
490
|
0
|
0
|
0
|
510
|
510
|
510
|
510
|
|
3
|
510
|
510
|
510
|
510
|
540
|
540
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
480
|
480
|
480
|
480
|
490
|
0
|
0
|
0
|
510
|
510
|
510
|
510
|
|
4
|
550
|
550
|
550
|
550
|
550
|
550
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
510
|
510
|
510
|
510
|
500
|
0
|
0
|
0
|
540
|
540
|
540
|
540
|
|
5
|
550
|
550
|
550
|
550
|
550
|
550
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
510
|
510
|
510
|
510
|
500
|
0
|
0
|
0
|
540
|
540
|
540
|
540
|
|
6
|
550
|
550
|
550
|
550
|
550
|
550
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
510
|
510
|
510
|
510
|
500
|
0
|
0
|
0
|
540
|
540
|
540
|
540
|
|
7
|
550
|
550
|
550
|
550
|
550
|
550
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
510
|
510
|
510
|
510
|
500
|
0
|
0
|
0
|
540
|
540
|
540
|
540
|
|
8
|
550
|
550
|
550
|
550
|
550
|
550
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
510
|
510
|
510
|
510
|
500
|
0
|
0
|
0
|
540
|
540
|
540
|
540
|
|
9
|
550
|
550
|
550
|
550
|
550
|
550
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
510
|
510
|
510
|
510
|
500
|
0
|
0
|
0
|
540
|
540
|
540
|
540
|
|
10
|
550
|
550
|
550
|
550
|
550
|
550
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
480
|
480
|
480
|
480
|
490
|
490
|
490
|
490
|
530
|
530
|
537
|
540
|
|
11
|
560
|
560
|
564
|
570
|
570
|
570
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
510
|
510
|
510
|
510
|
520
|
520
|
520
|
520
|
560
|
560
|
560
|
560
|
|
12
|
550
|
550
|
550
|
550
|
550
|
550
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
510
|
510
|
510
|
0
|
500
|
500
|
516
|
520
|
540
|
540
|
540
|
540
|
|
13
|
550
|
550
|
550
|
550
|
550
|
550
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
480
|
480
|
483
|
0
|
490
|
490
|
499
|
499
|
540
|
540
|
540
|
540
|
|
14
|
550
|
550
|
550
|
550
|
550
|
550
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
510
|
510
|
510
|
0
|
500
|
510
|
0
|
0
|
540
|
540
|
540
|
540
|
|
15
|
550
|
550
|
550
|
550
|
550
|
550
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
510
|
510
|
510
|
0
|
500
|
510
|
0
|
0
|
540
|
540
|
540
|
540
|
|
16
|
550
|
550
|
550
|
550
|
550
|
550
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
510
|
510
|
510
|
510
|
0
|
500
|
0
|
0
|
540
|
540
|
540
|
540
|
|
17
|
550
|
550
|
550
|
550
|
550
|
550
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
510
|
510
|
510
|
510
|
0
|
500
|
0
|
0
|
540
|
540
|
540
|
540
|
|
18
|
550
|
550
|
550
|
550
|
550
|
550
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
510
|
510
|
510
|
510
|
0
|
500
|
0
|
0
|
540
|
540
|
540
|
540
|
|
19
|
560
|
560
|
560
|
560
|
560
|
560
|
0
|
0
|
0
|
0
|
0
|
0
|
570
|
570
|
510
|
510
|
510
|
510
|
0
|
520
|
520
|
0
|
540
|
540
|
540
|
554
|
|
20
|
550
|
550
|
550
|
550
|
550
|
552
|
0
|
0
|
0
|
0
|
0
|
0
|
570
|
570
|
510
|
510
|
510
|
0
|
0
|
520
|
520
|
0
|
540
|
540
|
540
|
540
|
|
21
|
550
|
550
|
550
|
550
|
550
|
550
|
0
|
0
|
0
|
0
|
0
|
0
|
560
|
560
|
480
|
480
|
480
|
0
|
490
|
490
|
490
|
490
|
510
|
510
|
530
|
530
|
|
22
|
550
|
550
|
550
|
550
|
550
|
550
|
0
|
0
|
0
|
0
|
0
|
0
|
560
|
560
|
480
|
480
|
480
|
0
|
490
|
490
|
490
|
490
|
510
|
510
|
530
|
530
|
|
23
|
550
|
550
|
550
|
550
|
550
|
550
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
510
|
510
|
510
|
0
|
500
|
0
|
0
|
510
|
540
|
540
|
540
|
540
|
|
24
|
550
|
550
|
550
|
550
|
550
|
550
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
510
|
510
|
510
|
0
|
500
|
0
|
0
|
510
|
540
|
540
|
540
|
540
|
88m
|
1
|
0
|
0
|
0
|
0
|
0
|
0
|
630
|
630
|
630
|
630
|
635
|
640
|
640
|
640
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
520
|
610
|
610
|
610
|
|
2
|
0
|
0
|
0
|
0
|
0
|
0
|
630
|
630
|
630
|
630
|
635
|
640
|
640
|
640
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
520
|
610
|
610
|
610
|
|
3
|
0
|
0
|
0
|
0
|
0
|
0
|
640
|
640
|
640
|
640
|
640
|
640
|
640
|
640
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
610
|
610
|
610
|
620
|
|
4
|
0
|
0
|
0
|
0
|
0
|
0
|
670
|
670
|
670
|
670
|
670
|
670
|
670
|
670
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
660
|
660
|
660
|
660
|
|
5
|
0
|
0
|
0
|
0
|
0
|
0
|
670
|
670
|
670
|
670
|
670
|
670
|
670
|
670
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
660
|
660
|
660
|
660
|
|
6
|
0
|
0
|
0
|
0
|
0
|
0
|
670
|
670
|
670
|
670
|
670
|
670
|
670
|
670
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
660
|
660
|
660
|
660
|
|
7
|
0
|
660
|
0
|
0
|
0
|
0
|
670
|
670
|
670
|
670
|
670
|
670
|
670
|
670
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
660
|
660
|
660
|
0
|
|
8
|
0
|
660
|
0
|
0
|
0
|
0
|
670
|
670
|
670
|
670
|
670
|
670
|
670
|
670
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
660
|
660
|
660
|
0
|
|
9
|
0
|
660
|
0
|
0
|
0
|
0
|
670
|
670
|
670
|
670
|
670
|
670
|
670
|
670
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
660
|
660
|
660
|
0
|
|
10
|
660
|
660
|
660
|
0
|
0
|
0
|
670
|
670
|
670
|
670
|
670
|
670
|
670
|
670
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
657
|
660
|
660
|
0
|
|
11
|
650
|
660
|
660
|
0
|
0
|
0
|
660
|
660
|
660
|
660
|
660
|
660
|
660
|
660
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
620
|
620
|
620
|
644
|
|
12
|
650
|
0
|
650
|
0
|
0
|
0
|
660
|
650
|
650
|
650
|
656
|
660
|
660
|
660
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
620
|
620
|
620
|
620
|
|
13
|
640
|
0
|
641
|
0
|
0
|
0
|
640
|
640
|
640
|
640
|
640
|
640
|
640
|
640
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
620
|
620
|
620
|
620
|
|
14
|
0
|
0
|
0
|
0
|
0
|
0
|
670
|
670
|
670
|
670
|
670
|
670
|
670
|
670
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
660
|
660
|
660
|
660
|
|
15
|
0
|
0
|
0
|
0
|
0
|
0
|
670
|
670
|
670
|
670
|
670
|
670
|
670
|
670
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
660
|
660
|
660
|
660
|
|
16
|
0
|
0
|
0
|
0
|
0
|
0
|
670
|
670
|
670
|
670
|
670
|
670
|
670
|
670
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
660
|
660
|
660
|
660
|
|
17
|
0
|
0
|
0
|
0
|
0
|
0
|
670
|
670
|
670
|
670
|
670
|
670
|
670
|
670
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
660
|
660
|
660
|
660
|
|
18
|
0
|
0
|
0
|
0
|
0
|
0
|
670
|
670
|
670
|
670
|
670
|
670
|
670
|
670
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
660
|
660
|
660
|
660
|
|
19
|
650
|
660
|
660
|
0
|
0
|
0
|
660
|
660
|
660
|
660
|
660
|
660
|
660
|
660
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
620
|
620
|
620
|
644
|
|
20
|
650
|
660
|
660
|
0
|
0
|
0
|
660
|
660
|
660
|
660
|
660
|
660
|
660
|
660
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
620
|
652
|
650
|
0
|
|
21
|
660
|
660
|
660
|
660
|
0
|
0
|
660
|
660
|
660
|
660
|
660
|
670
|
670
|
670
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
650
|
650
|
650
|
0
|
|
22
|
660
|
660
|
660
|
660
|
0
|
0
|
660
|
660
|
660
|
660
|
660
|
670
|
670
|
670
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
650
|
650
|
650
|
0
|
|
23
|
0
|
660
|
660
|
660
|
0
|
0
|
670
|
670
|
670
|
670
|
670
|
670
|
670
|
670
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
660
|
0
|
0
|
0
|
|
24
|
0
|
660
|
660
|
660
|
0
|
0
|
670
|
670
|
670
|
670
|
670
|
670
|
670
|
670
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
660
|
0
|
0
|
0
|
107m
|
1
|
0
|
0
|
0
|
0
|
0
|
0
|
550
|
550
|
550
|
560
|
0
|
0
|
0
|
0
|
650
|
600
|
600
|
600
|
0
|
0
|
0
|
0
|
690
|
690
|
690
|
695
|
|
2
|
0
|
0
|
0
|
0
|
0
|
0
|
550
|
550
|
550
|
560
|
0
|
0
|
0
|
0
|
650
|
600
|
600
|
600
|
0
|
0
|
0
|
0
|
690
|
690
|
690
|
695
|
|
3
|
0
|
0
|
0
|
0
|
0
|
0
|
550
|
550
|
560
|
560
|
0
|
0
|
0
|
0
|
690
|
650
|
650
|
600
|
0
|
0
|
0
|
0
|
690
|
690
|
690
|
690
|
|
4
|
0
|
0
|
0
|
0
|
0
|
0
|
690
|
690
|
690
|
690
|
0
|
0
|
0
|
0
|
600
|
650
|
650
|
650
|
0
|
0
|
0
|
0
|
680
|
670
|
670
|
670
|
|
5
|
0
|
0
|
0
|
0
|
0
|
0
|
690
|
690
|
690
|
690
|
0
|
0
|
0
|
0
|
600
|
650
|
650
|
650
|
0
|
0
|
0
|
0
|
680
|
670
|
670
|
670
|
|
6
|
0
|
0
|
0
|
0
|
0
|
0
|
690
|
690
|
690
|
690
|
0
|
0
|
0
|
0
|
600
|
650
|
650
|
650
|
0
|
0
|
0
|
0
|
680
|
670
|
670
|
670
|
|
7
|
0
|
0
|
0
|
0
|
0
|
0
|
690
|
690
|
690
|
690
|
0
|
0
|
0
|
0
|
600
|
650
|
650
|
650
|
0
|
0
|
0
|
0
|
680
|
670
|
670
|
670
|
|
8
|
0
|
0
|
0
|
0
|
0
|
0
|
690
|
690
|
690
|
690
|
0
|
0
|
0
|
0
|
600
|
650
|
650
|
650
|
0
|
0
|
0
|
0
|
680
|
670
|
670
|
670
|
|
9
|
0
|
0
|
0
|
0
|
0
|
0
|
690
|
690
|
690
|
690
|
0
|
0
|
0
|
0
|
600
|
650
|
650
|
650
|
0
|
0
|
0
|
0
|
680
|
670
|
670
|
670
|
|
10
|
0
|
0
|
0
|
0
|
0
|
0
|
690
|
690
|
690
|
690
|
691
|
691
|
0
|
0
|
600
|
600
|
645
|
650
|
0
|
0
|
0
|
0
|
670
|
670
|
670
|
670
|
|
11
|
0
|
0
|
0
|
0
|
0
|
0
|
690
|
540
|
540
|
690
|
694
|
690
|
0
|
0
|
650
|
600
|
600
|
600
|
0
|
700
|
0
|
0
|
690
|
690
|
690
|
690
|
|
12
|
0
|
0
|
0
|
0
|
0
|
0
|
699
|
560
|
0
|
550
|
559
|
699
|
0
|
0
|
650
|
650
|
600
|
600
|
0
|
700
|
0
|
0
|
690
|
690
|
690
|
690
|
|
13
|
0
|
0
|
0
|
0
|
0
|
0
|
550
|
550
|
0
|
560
|
560
|
560
|
0
|
0
|
690
|
650
|
650
|
650
|
0
|
700
|
0
|
0
|
690
|
690
|
690
|
691
|
|
14
|
0
|
0
|
0
|
0
|
0
|
0
|
690
|
690
|
0
|
690
|
0
|
0
|
0
|
0
|
600
|
650
|
650
|
650
|
0
|
700
|
0
|
0
|
670
|
670
|
670
|
670
|
|
15
|
0
|
0
|
0
|
0
|
0
|
0
|
690
|
690
|
0
|
690
|
0
|
0
|
0
|
0
|
600
|
650
|
650
|
650
|
0
|
700
|
0
|
0
|
670
|
670
|
670
|
670
|
|
16
|
0
|
0
|
0
|
0
|
0
|
0
|
690
|
690
|
690
|
690
|
0
|
0
|
0
|
0
|
600
|
650
|
650
|
650
|
0
|
0
|
0
|
0
|
680
|
670
|
670
|
670
|
|
17
|
0
|
0
|
0
|
0
|
0
|
0
|
690
|
690
|
690
|
690
|
0
|
0
|
0
|
0
|
600
|
650
|
650
|
650
|
0
|
0
|
0
|
0
|
680
|
670
|
670
|
670
|
|
18
|
0
|
0
|
0
|
0
|
0
|
0
|
690
|
690
|
690
|
690
|
0
|
0
|
0
|
0
|
600
|
650
|
650
|
650
|
0
|
0
|
0
|
0
|
680
|
670
|
670
|
670
|
|
19
|
0
|
560
|
560
|
0
|
0
|
0
|
690
|
690
|
690
|
690
|
0
|
0
|
0
|
0
|
600
|
600
|
644
|
650
|
700
|
0
|
0
|
0
|
670
|
670
|
670
|
670
|
|
20
|
0
|
560
|
560
|
0
|
0
|
0
|
690
|
690
|
690
|
0
|
0
|
0
|
0
|
0
|
652
|
650
|
650
|
650
|
700
|
0
|
0
|
0
|
670
|
670
|
670
|
670
|
|
21
|
0
|
570
|
570
|
570
|
0
|
0
|
700
|
700
|
700
|
0
|
0
|
0
|
0
|
0
|
650
|
650
|
650
|
650
|
700
|
0
|
0
|
0
|
690
|
700
|
700
|
700
|
|
22
|
0
|
570
|
570
|
570
|
0
|
0
|
700
|
700
|
700
|
0
|
0
|
0
|
0
|
0
|
650
|
650
|
650
|
650
|
700
|
0
|
0
|
0
|
690
|
700
|
700
|
700
|
|
23
|
0
|
0
|
0
|
560
|
0
|
0
|
700
|
700
|
700
|
0
|
0
|
0
|
0
|
0
|
650
|
650
|
650
|
650
|
0
|
0
|
0
|
0
|
680
|
670
|
690
|
700
|
|
24
|
0
|
0
|
0
|
560
|
0
|
0
|
700
|
700
|
700
|
0
|
0
|
0
|
0
|
0
|
650
|
650
|
650
|
650
|
0
|
0
|
0
|
0
|
680
|
670
|
690
|
700
|
Table 3 Optimization results with different methods
Water
|
Method
|
water consumption
|
Standard deviation
|
Deviation of best and worst solution
|
Water consumption reduction of IBOWA compared with other algorithms
|
head
|
|
Average(m3)
|
Minimum(m3)
|
value(m3)
|
%
|
75m
|
IWOA
|
1059069514
|
1058323464
|
475200
|
13548925
|
|
|
|
WOA
|
1066627165
|
1066327870
|
173191
|
5354755
|
8004406
|
0.76
|
|
GA
|
1079602913
|
1078966721
|
306862
|
9700382
|
20643257
|
1.95
|
|
PSO
|
1079316158
|
1078743480
|
352455
|
8939889
|
20420016
|
1.93
|
|
ACO
|
1066699819
|
1065953142
|
328920
|
10530170
|
7629678
|
0.72
|
88m
|
IWOA
|
892562644
|
892524696
|
20145
|
787962
|
|
|
|
WOA
|
894885857
|
894882355
|
3372
|
140197
|
2357659
|
0.26
|
|
GA
|
906801529
|
906221642
|
298042
|
9984189
|
13696946
|
1.53
|
|
PSO
|
906378915
|
905256265
|
539997
|
19446628
|
12731569
|
1.43
|
|
ACO
|
895682123
|
894993149
|
385535
|
14408803
|
2468453
|
0.28
|
107m
|
IWOA
|
745472520
|
745261944
|
119711
|
4971590
|
|
|
|
WOA
|
745713374
|
745665204
|
37135
|
1713612
|
403260
|
0.05
|
|
GA
|
758948882
|
758399409
|
257059
|
13170363
|
13137465
|
1.76
|
|
PSO
|
758916190
|
758246994
|
261230
|
13616921
|
12985051
|
1.74
|
|
ACO
|
748412566
|
747361818
|
715607
|
27821615
|
2099874
|
0.28
|
Table 4 The advantage of IBWOA compared between four algorithms
Water
|
Method
|
Water consumption
before optimization
|
Optimized
water consumption
|
The optimization effect
|
head
|
|
Average
(m3)
|
Minimum
(m3)
|
Average
(m3)
|
Minimum
(m3)
|
Average
(%)
|
Minimum
(%)
|
75m
|
IWOA
|
1059070468
|
1058323824
|
1059069514
|
1058323464
|
9.01E-05
|
3.40E-05
|
|
WOA
|
1066627165
|
1066327870
|
1066627165
|
1066327870
|
0
|
0
|
|
GA
|
1079608625
|
1078966793
|
1079602913
|
1078966721
|
5.29E-04
|
6.67E-06
|
|
PSO
|
1079319317
|
1078745340
|
1079316158
|
1078743480
|
2.93E-04
|
1.72E-04
|
|
ACO
|
1066700479
|
1065953142
|
1066699819
|
1065953142
|
6.19E-05
|
0
|
88m
|
IWOA
|
892564682
|
892526784
|
892562644
|
892524696
|
2.28E-04
|
2.34E-04
|
|
WOA
|
894890307
|
894886992
|
894885857
|
894882355
|
4.97E-04
|
5.18E-04
|
|
GA
|
906807647
|
906223585
|
906801529
|
906221642
|
6.75E-04
|
2.14E-04
|
|
PSO
|
906388275
|
905271124
|
906378915
|
905256265
|
1.03E-03
|
1.64E-03
|
|
ACO
|
895691886
|
895011092
|
895682123
|
894993149
|
1.09E-03
|
2.00E-03
|
107m
|
IWOA
|
745559488
|
745337067
|
745472520
|
745261944
|
1.17E-02
|
1.01E-02
|
|
WOA
|
745717534
|
745670431
|
745713374
|
745665204
|
5.58E-04
|
7.01E-04
|
|
GA
|
759037228
|
758518345
|
758948882
|
758399409
|
1.16E-02
|
1.57E-02
|
|
PSO
|
758994912
|
758286661
|
758916190
|
758246994
|
1.04E-02
|
5.23E-03
|
|
ACO
|
748570125
|
747476464
|
748412566
|
747361818
|
2.10E-02
|
1.53E-02
|