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Chapter 5 - Publications, US Army Corps of Engineers

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EM 1110-2-1701<br />

31 Dec 1985<br />

tested. Therefore, only the term rated head should be used in<br />

planning and design studies.<br />

(1) Cavitation and vibration problems limit turbines to a<br />

minimum discharge <strong>of</strong> 30 to 50 percent <strong>of</strong> rated discharge (rated<br />

discharge being discharge at rated head with wicket gates fully open).<br />

This characteristic should be accounted for in power studies, and it<br />

may in some cases influence the size and number <strong>of</strong> units to be<br />

installed at a given site. For example, if a minimum downstream<br />

release is to be maintained at a storage or pondage project for nonpower<br />

purposes, and it is desired to maintain power production during<br />

these periods, a unit must be selected which is capable <strong>of</strong> generating<br />

at the required minimum discharge. For run-<strong>of</strong>-river projects, proper<br />

accounting for minimum discharge is equally important. Streamflows<br />

below the single-unit minimum discharge will be spilled, so flowduration<br />

curves should be examined carefully to determine the size and<br />

number <strong>of</strong> units that will best develop the energy potential <strong>of</strong> a given<br />

site. The example in Section 6-6g illustrates the impact <strong>of</strong> singleunit<br />

minimum turbine discharge on a project’s energy output.<br />

(2) In preliminary power studies, minimum discharge can usually<br />

be ignored, but once a tentative selection <strong>of</strong> unit size or sizes has<br />

been made, a minimum single-unit turbine discharge must be applied to<br />

the energy computation. For more advanced studies, a minimum<br />

discharge based on the data presented in Table 5-1 (Section 5-6i)<br />

can be assumed. Once a specific turbine design has been selected, the<br />

minimum discharge associated with that unit should be used.<br />

(1) The efficiency term used in power studies reflects the<br />

combined efficiencies <strong>of</strong> the turbine and generator. Generator<br />

efficiency is usually assumed to remain constant at 98 percent for<br />

large units and 95 to 96 percent for units smaller than 5 ~.<br />

However, turbine efficiency varies with the operational parameters <strong>of</strong><br />

discharge and head. The efficiency characteristics <strong>of</strong> a turbine vary<br />

with type and size <strong>of</strong> unit and runner design. Figure 5-8 shows<br />

typical performance curves for a Francis turbine.<br />

(2) In reconnaissance level power studies, a fixed efficiency <strong>of</strong><br />

80 to 85 percent may be used to represent the combined efficiency <strong>of</strong><br />

the turbines and generators. A value <strong>of</strong> 85 percent can be applied to<br />

installations where the larger custom-built turbines would be used.<br />

The smaller standardized Francis and tubular turbines and units<br />

requiring gearboxes have lower efficiencies, and an overall efficiency<br />

<strong>of</strong> 80 percent should be used for reconnaissance studies <strong>of</strong> projects<br />

5-18

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