Reactor Theory (Nuclear Parameters)DOE-HDBK-1019/2-93CONTROL RODSIn this example the various approximations used did not cause any difference because theproblem deals with a section of the curve with an approximately constant slope. Toobtain the value over the interval between 8 inches and 20 inches, however, would requirethe use of several subintervals (as in the last approximation) to obtain an accurateanswer.Example 3:For the differential rod worth data given below, construct differential and integral rodworth curves.Interval(inches)ReactivityInserted(pcm)0 to 2102 to 4204 to 6406 to 8608 to 106010 to 124012 to 142014 to 1610Solution:Differential rod worth: For each interval, the number of pcm/inch must be determined. For example, inthe first interval (0 inches to 2 inches), 10 pcm is added. Therefore, thedifferential rod worth equals an average 5 pcm/inch. This value of differentialrod worth is plotted at the center of each interval. The center of the interval0 inches to 2 inches is 1 inch. The values of pcm/inch for each interval are thenlisted as shown below and plotted on Figure 12.IntervalCenterpcm/inch1531052073093011201310155Rev. 0NP-03Page 55
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