Hydroelectric_Power_Multiobjective_Example

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Unformatted text preview: izing the maximum fluctuation of water stored in the dam over the six‐ month period vs. minimizing the amount of monthly outflow to the stream that falls outside the desirable limits. U‐L vs. Deviation from Stream Limits 450 400 350 Deviation (Acre‐ft) 300 250 200 150 100 50 0 0 0.1 0.2 0.3 0.4 0.5 U‐L 0.6 0.7 0.8 0.9 1 Why is this? Because we can always drive both the variation in height of the reservoir and the deviation from the limits imposed on the stream, by pushing whatever excess flow we have to the irrigation. b. Minimizing the maximum fluctuation of water stored in the dam over the six‐ month period vs. maximizing the crop output by minimizing the maximum deviation from the targeted amount of irrigated water supplied each month. Deviation from Irrigation Target vs.Fluctuation in Reservoir 120 Deviation from Irrigation target (Acre‐ft) 100 80 60 40 20 0 0 0.1 0.2 Why is this? Same as above. 0.3 0.4 0.5 0.6 0.7 Minimum Fluctuation in Reservoir (Acre‐ft) 0.8 0.9 1 c. Maximizing the amount of hydroelectric power produced during the six‐month period vs. minimizing the amount of monthly outflow to the stream that falls outside the desirable limits. Power vs. Deviation from Stream Limits 1400 1200 Deviation (Acre‐ft) 1000 800 600 400 200 0 0 200000 400000 600000 800000 1000000 Power Generated (KwHr) 1200000 1400000 1600000 d. Maximizing the amount of hydroelectric power produced during the six‐month period vs. maximizing the crop output by minimizing the maximum deviation from the targeted amount of irrigated water supplied each month. Power vs Maximum Deviation from Irrigation Target Maximum Deviation from Irrigation Target (Acre‐ft) 250 200 150 100 50 0 0 200000 400000 600000 800000 1000000 Power Generated (KwHr) 1200000 1400000 1600000 ________________________________________________________________________ HINT: How to do this. 1. Minimizing the range of storage (and, therefore, the range of water levels) Let St denote the amount of water s...
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## This document was uploaded on 03/11/2014.

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