Uncertainty and Sensitivity of Neutron Kinetic Parameters in the Dynamic Response of a PWR Rod Ejection Accident Coupled Simulation

<table class="table-group" id="tab2"><tr><td><table class="table"><tr><td class="thead-hr" colspan="4"><hr/></td></tr><tr class="thead"><td align="left">Case</td><td align="center"><span style="width: 22.875px;"><svg height="17.4" id="M71" style="vertical-align:-4.15504pt" version="1.1" viewbox="0 0 22.875 17.4" width="22.875" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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t-62 25.5q-24 0 -43.5 -9t-35 -29.5t-27 -44t-22.5 -63t-19.5 -75.5t-18.5 -91q-57 -294 -68 -380q-26 -190 -35 -200q-26 -31 -97 -37l-4 26q19 9 48 170l77 413q23 121 52.5 187.5t83.5 114.5q70 62 148 62q51 0 88.5 -34t37.5 -91z" id="x1D6FD"></path></g>
<g transform="matrix(.012,-0,0,-.012,9.938,17.2)"><path d="M380 106l15 -22q-42 -52 -87 -74t-76 -22q-89 0 -142 62t-53 151q0 103 66 175q67 73 146 73h1q61 0 105.5 -46.5t44.5 -105.5q0 -16 -4.5 -22.5t-18.5 -9.5q-54 -10 -262 -17q1 -95 46 -143.5t104 -48.5q61 0 115 50zM225 412q-35 0 -64.5 -32.5t-40.5 -90.5q83 0 170 3
q14 0 19 4.5t5 15.5q1 41 -23.5 70.5t-65.5 29.5z" id="x65"></path></g><g transform="matrix(.012,-0,0,-.012,14.994,17.2)"><path d="M187 566v-116h189c1.33478 44.0001 4.00146 75.3334 8 94c5.33411 24.0005 14.0008 46.3339 26 67c28 48 75 72 141 72c30.0005 0 54.8339 -5.83331 74.5 -17.5c19.6691 -11.6667 29.5024 -26.5 29.5 -44.5c0 -11.3368 -4 -21.0035 -12 -29c-8 -8 -18 -12 -30 -12
c-16 0 -31 12 -45 36c-16.0016 26 -33.6682 39 -53 39c-37.3333 -0.000915527 -56 -29.6676 -56 -89v-116h115v-32h-115v-315c0 -37.3333 5 -61 15 -71c11.3333 -10.6667 37.3333 -16.3333 78 -17v-15h-245v15c28.6667 2 47 8.33333 55 19c8.66666 10.6667 13 34 13 70v314
h-188v-314c0 -38 3.66667 -61.6667 11 -71c6.66667 -8.66667 25.6667 -14.6667 57 -18v-15h-235v15c36.6667 2 59.3333 8 68 18c10 11.3333 15 35 15 71v314h-82v32h82c1.33344 43.3338 4.0001 74.3338 8 93c4.66666 22 13.6667 44.6667 27 68c28 48 75 72 141 72
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</svg></span></td><td align="center">Control rod reactivity worth (pcm/$)</td><td align="center">Coords./bank<br/></td></tr><tr><td class="thead-hr" colspan="4"><hr/></td></tr><tr><td align="left">ARI</td><td align="center">0.0052775</td><td align="center">1057.8/2.0043581</td><td align="center">14–10/5</td></tr><tr class="table-tr"><td colspan="4"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

Values of <svg height="17.4" id="M70" style="vertical-align:-4.15504pt" version="1.1" viewbox="0 0 22.875 17.4" width="22.875" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,12.162)"><path d="M558 587q0 -32 -14 -61t-40 -53.5t-48.5 -41t-54.5 -36.5q144 -51 144 -174q0 -55 -43.5 -108t-104.5 -87q-77 -42 -131 -42q-31 0 -54 20t-31 47l11 18q48 -29 108 -29q79 0 119.5 43t40.5 109t-44.5 107.5t-119.5 50.5l22 47q34 1 65 21q96 61 96 157q0 42 -24 67.5
t-62 25.5q-24 0 -43.5 -9t-35 -29.5t-27 -44t-22.5 -63t-19.5 -75.5t-18.5 -91q-57 -294 -68 -380q-26 -190 -35 -200q-26 -31 -97 -37l-4 26q19 9 48 170l77 413q23 121 52.5 187.5t83.5 114.5q70 62 148 62q51 0 88.5 -34t37.5 -91z" id="x1D6FD"></path></g>
<g transform="matrix(.012,-0,0,-.012,9.938,17.2)"><path d="M380 106l15 -22q-42 -52 -87 -74t-76 -22q-89 0 -142 62t-53 151q0 103 66 175q67 73 146 73h1q61 0 105.5 -46.5t44.5 -105.5q0 -16 -4.5 -22.5t-18.5 -9.5q-54 -10 -262 -17q1 -95 46 -143.5t104 -48.5q61 0 115 50zM225 412q-35 0 -64.5 -32.5t-40.5 -90.5q83 0 170 3
q14 0 19 4.5t5 15.5q1 41 -23.5 70.5t-65.5 29.5z" id="x65"></path></g><g transform="matrix(.012,-0,0,-.012,14.994,17.2)"><path d="M187 566v-116h189c1.33478 44.0001 4.00146 75.3334 8 94c5.33411 24.0005 14.0008 46.3339 26 67c28 48 75 72 141 72c30.0005 0 54.8339 -5.83331 74.5 -17.5c19.6691 -11.6667 29.5024 -26.5 29.5 -44.5c0 -11.3368 -4 -21.0035 -12 -29c-8 -8 -18 -12 -30 -12
c-16 0 -31 12 -45 36c-16.0016 26 -33.6682 39 -53 39c-37.3333 -0.000915527 -56 -29.6676 -56 -89v-116h115v-32h-115v-315c0 -37.3333 5 -61 15 -71c11.3333 -10.6667 37.3333 -16.3333 78 -17v-15h-245v15c28.6667 2 47 8.33333 55 19c8.66666 10.6667 13 34 13 70v314
h-188v-314c0 -38 3.66667 -61.6667 11 -71c6.66667 -8.66667 25.6667 -14.6667 57 -18v-15h-235v15c36.6667 2 59.3333 8 68 18c10 11.3333 15 35 15 71v314h-82v32h82c1.33344 43.3338 4.0001 74.3338 8 93c4.66666 22 13.6667 44.6667 27 68c28 48 75 72 141 72
c29.3333 0 52.8333 -5.83331 70.5 -17.5s26.5 -26.5 26.5 -44.5c0 -11.3368 -4 -21.0035 -12 -29c-8 -8 -18 -12 -30 -12c-8 0 -14.1667 2.16669 -18.5 6.5s-10.8333 14.1667 -19.5 29.5c-16 26 -33.6667 39 -53 39c-37.3335 -0.000915527 -56.0001 -29.6676 -56 -89z" id="xFB00"></path></g>
</svg> and ejected control rod reactivity worth.

Science and Technology of Nuclear Installations

tab2

Table 2

Table 2: Uncertainty and Sensitivity of Neutron Kinetic Parameters in the Dynamic Response of a PWR Rod Ejection Accident Coupled Simulation 