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8.10 Important reactivity feedbacks and control strategies  103




                     Full-length part-strength control rods have lower poison concentrations through-
                  out the rods than full strength rods. Like full-length full-strength control rods, they
                  affect local power density, but not as strongly.
                     Part-length control rods have neutron absorber only near the tip. They can reduce
                  local power density at in-core regions without strongly affecting the power density in
                  regions behind the absorber region. They are useful in controlling the power distribution.
                     Heavy water reactors (CANDU) use in-core chambers where light water can be
                  introduced. Increasing light water in the chambers decreases reactivity and reduces
                  the local power production.
                     Fixed-position burnable poison rods are installed in high power density regions
                  before the reactor goes into operation. They affect the local power density and their
                  strength decreases as the reactor operates and the poison is transmuted by neutron
                  absorption. These are common in BWRs. BWR fuel assemblies also contain “water
                  rods” that help increase moderation and thus reactivity.



                  8.10 Important reactivity feedbacks and control strategies
                  for various reactor types
                  Chapters 12–14 address various reactor types and their important reactivity
                  feedbacks and control strategies.



                  Exercises

                  8.1.  Consider the closed-loop system shown in Fig. 8.9
                       (a) For G c (s)¼1, determine the steady-state error in the output when the input
                          is a unit step function.
                       (b) Repeat part (a) for the case when G c (s)is a PdI controller given by

                                                      0:1
                                              G c sðÞ ¼ 1+
                                                       s


                                                         Plant
                                     Controller
                         X(s)
                                                         200              Y(s)
                                     K p + Ki/s
                            +                         (s + 1) (s + 2)
                            _





                  FIG. 8.9
                  Problem 8.1.
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