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Multi-objective optimal operation of multi-reservoir systems is complex and multi-dimensional. This type of optimization requires reformulation (or extension) of the parent evolutionary algorithms to cope with specialized conditions and solve efficiently the targeted multi-objective, multi-reservoir, operation problems. The authors propose an extended MOFA, namely MODFA, that is particularly suitable for multi-objective, multi-reservoir, operation problems. First, the steps of the extended FA (namely, DAF as proposed by Garousi-Nejad et al. 2016b) are summarized, followed by the description of MODFA applying the NSGA-II approach.
Figure 3

The flowchart of the MODFA.

Figure 3

The flowchart of the MODFA.

Table 1

Data for three reservoirs and their power plants

CharacteristicsReservoir
Karoun 4Khersan 1Karoun 3
Purpose of dam Hydropower generation Hydropower generation Hydropower generation 
Maximum reservoir level (masl) 1,025 1,013 840 
Minimum reservoir level (masl) 990 1,000 800 
Maximum reservoir volume (106 m32,019 332.55 2,252.58 
Minimum reservoir volume (106 m31,144.29 262.68 1,110.12 
Active reservoir volume (106 m3748.71 69.87 1,142.66 
Maximum reservoir release (106 m3450 400 1,000 
Power plant capacity (106 W) 1,000 584 2,000 
Performance coefficient (%) 20 25 25 
Power plant efficiency (%) 88 93 92 
CharacteristicsReservoir
Karoun 4Khersan 1Karoun 3
Purpose of dam Hydropower generation Hydropower generation Hydropower generation 
Maximum reservoir level (masl) 1,025 1,013 840 
Minimum reservoir level (masl) 990 1,000 800 
Maximum reservoir volume (106 m32,019 332.55 2,252.58 
Minimum reservoir volume (106 m31,144.29 262.68 1,110.12 
Active reservoir volume (106 m3748.71 69.87 1,142.66 
Maximum reservoir release (106 m3450 400 1,000 
Power plant capacity (106 W) 1,000 584 2,000 
Performance coefficient (%) 20 25 25 
Power plant efficiency (%) 88 93 92 
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