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Chapter 5 - Publications, US Army Corps of Engineers

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EM 111O-2-17(.)]<br />

31 Dec 1985<br />

low-head projects, where head varies directly with discharge, an<br />

efficiency versus discharge relationship can be derived (see Section<br />

5-7n).<br />

(5) For projects where head varies independently <strong>of</strong> discharge,<br />

an efficiency versus discharge curve can be used if head does not vary<br />

substantially. Where head does vary substantially, several alternatives<br />

are available. For projects with four or more units, there is<br />

considerable flexibility <strong>of</strong> operation. The number <strong>of</strong> units that are<br />

placed on-line at any given discharge would be selected such that they<br />

would all be operating at or near the point <strong>of</strong> best efficiency for the<br />

given discharge. In these cases, an efficiency versus head curve can<br />

be developed. Figure 5-11 shows an efficiency vs. head curve for a<br />

multiple-unit Francis installation. This curve was developed from the<br />

turbine performance curve shown on Figure 5-8, based on the units<br />

operating at the Pint <strong>of</strong> best efficiency at each head. The<br />

efficiency values from Figure 5-8 were reduced by an additional two<br />

percent to account for generator losses. Where a project is normally<br />

“block loaded” (see Figure 5-10, the plant would always operate at or<br />

NETHEAD (FEET)<br />

Figure 5-11. Net head vs. efficiency curve<br />

for Francis turbine (multiple-unit installation)<br />

5-34

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