ML20215C766
| ML20215C766 | |
| Person / Time | |
|---|---|
| Site: | Big Rock Point File:Consumers Energy icon.png |
| Issue date: | 10/30/1986 |
| From: | Hollowell T, Shields K CONSUMERS ENERGY CO. (FORMERLY CONSUMERS POWER CO.) |
| To: | |
| Shared Package | |
| ML20215C724 | List: |
| References | |
| NUDOCS 8612150394 | |
| Download: ML20215C766 (36) | |
Text
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BIG ROCK POINT HYBRID CONTROL ROD EVALUATION October, 1986 Prepared by: d /
K./4. Shields Approved by:
T. E. Hollowell I
I 8612150394 861205 5 PDR ADOCK 050 l P l
i I
I
[ - - - .
BIG ROCK POINT HYBRID CONTROL ROD EVALUATION Page 1 of 35
1.0 INTRODUCTION
AND
SUMMARY
1.1 INTRODUCTION
It is the desire of Consumers Power Company (CPCo) to increase the lifetime of the weak cruciform control blades being utilized for power regulation in the Big Rock Point (BRP) boiling water reactor.
Both the cost of replacement blades and the cost of disposal of spent blades provide a large economic incentive to do so. In line with what is currently being done in other BWR's to extend control rod lifetime, the hafnium hybrid design will be used; the design of the control rod blades has been modified in two ways to provide a
" hybrid" blade:
- 1) The stainless steel cladding which contains the B C 4 poison has been changed to a high purity grade stainless steel.
- 2) The outer two poison rods in each wing have been replaced with solid hafnium rods in the top one quarter of the blade. The solid hafnfue rods are seventeen (17) inches long and have the same outside diameter as the stainless steel tubes being replaced.
This report describes the nuclear analyses performed to determine the nuclear characteristics of the new hybrid design and establish the lifetime increase expected from the design change.
1.2 OBJECTIVES The nuclear analysis described in this report had two objectives:
- 1) Establish that the control rod (CR) worth of the hybrid design and the all-B4C design are virtually the same. Thus, the nuclear properties with the standard design (assembly K,, M2, etc) can also be used for the hybrid design in modeling, core follow, operations support, and safety analyses.
- 2) Determine the depletion rate in the B 4C pin having the highest depletion rate in the hybrid design relative to the limiting pin in the all-B4 C design. This can be used to establish the degree of lifetime extension available.
1.3 ANALYTICAL APPROACH l
l CPCo performs the assembly calculations for BRP with the integral i
transport code CASMO-2E using gadolinium cross sections provided l from the transport code MICBURN-1.
CASMO-2E, however, cannot accept a hybrid CR design nor can it calculate the boron absorption by poison pin in the CR wing. Thus, CASMO-2E cannot be used directly in the evaluation of the hybrid CR design for BRP.
MIO986-0091A-0P03
6 BIG ROCK POINT HYBRID CONTROL R0D EVALUATION Page 2 of 35 The approach that was taken in the evaluation was to utilize MICBURN-1/CASMO-2E to provide appropriate cross sections to, and perform the analyses with, the industry standard diffusion code PDQ-7. The calculation flow would be as follows:
- 1) Perform the assembly calculation at cold and various void conditions with CASMO-2E.
- Unrodded
- Rodded - standard CR design
- all hafnium CR design These calculations would allow determinatica of CR worths.
In CASMO-2E, use the transport-diffusion " normalization" routine to perform reaction rate matching for the strong absorbers (Gd 2 03 pins; CR) and obtain diffusion-equivalent cross sections for each distinct region / composition in the assembly.
f 2A) Repeat the calculation in step (1), above, in PDQ-7 using the diffusion-equivalent cross sections from the corresponding CASMO-2E calculation.
Synthesize, then, in PDQ-7 a hybrid CR design assembly calcu-lation. (The B C 4 pin cell cross sections would be obtained from the standard CR CASNO-2E calculation; the hafnium pin cell cross section would be obtained from an all-Hf CR design CASMO-2E calculation.)
The PDQ-7 calculation, as CASNO-2E, is a 2-dim calculation of a reflected assembly; ie, an infinite array.
B) Use the PDQ-7 model in step (A), above, to synthesize a 2X2 assembly (2-dia) PDQ-7 model at various void levels. In this geometry, only one assembly will be rodded which is typical of BRP operating conditions.
C) Use the PDQ-7 model in step (B), above, to synthesize a 2X2 core actual height PDQ-7 calculation to simulate a partially inserted CR which is the worst condition for boron absorption at the tip of the control rod.
From the 3-dimensional PDQ-7 calculation (hybrid CR) the boron absorption rate in the limiting B4 C pin will be determined
, axially and compared to that in the limiting B4 C pin of the standard CR design. The results will be combined with the expected CR exposure history in BRP to determine the integrated boron absorption rate in each CR design and obtain the hybrid CR lifetime extension.
MIO986-0091A-0P03
4
- BIG ROCK POINT HYBRID CONTROL ROD EVALUATION Paga 3 of 35 The CASNO-2E/PDQ-7 calculations will provide all the informa-tion needed to evaluate control rod worths in addition to boron absorption by CR poison pin. ,
1.4 CONCLUSION
S A) In the Big Rock Point control rod design hafnium, in the gesmetry utilized, has the same worth as B 4C in both hot and ccid conditions.
B) Based on the expected Big Rock Point control rod power exposure history, the lifetime of the limiting B 4C pois< n rod in the hybrid design has a lifetime 1.38 times that ci the limiting B4 C poison rod in the standard design.
2.0 METHODOLOGY The salient features of each code used in this analysis and the code-code linkages are discussed briefly below. Figure 2-1 shows the code flow schematically.
2.1 MICBURN-1 MICBURN (Reference 2) is a 1 dimensional, multi group (69 groups) transport code that calculates effective cross sections in a fuel pin containing Gd 203 poison. It provided cross section input to CASNO-2E.
MICBURN was run at 0% voids for all CASNO-2E calculatians as is standard practice.
2.2 CASMO-2E CASNO-2E (Reference 3) is a 2-dimensional, multi group (69 groups) integral code. The code handles a geometry consisting of cylindri-l cal fuel rods of varying compositions in a square pitch array with allowance for rods loaded with gadolinia. The BWR cruciform control rod heterogeneous structure is taken into account by a sr-cial collision probability treatment. The code performs an efaenvalue calculation and provides fluxes, the power distribution, etc by pin.
CASMO-2E has a 2-dimensional diffusion theory routine (Diry) to provide sacro, micro, MND and IRT effective cross sections for PDQ.
After solving the diffusion equations the diffusion results are compared to the transport results and the absorption cross sections adjusted to better match the transport solution. The adjustments made to the diffusion theory cross sections are called G-factors.
CASMO-2E provided diffusion-equivalent cross sections to PDQ-7 for fuel pin cells, structural cells, Gd2 03 cells, and control rod cells.
l I
MIO986-0091A-OP03
_ _ . . __ .- _, _ _ _ _ _ _ - . _ _ _ _ _ _ _ ._~_.._ _ _ _ _ __. _. _ _ _ _ , _ . _
a BIG ROCK POINT HYBRID CONTROL ROD EVALUATION Pag 2 4 of 35 2.3- PDQ-7
. PDQ-7 (Reference 4) is a few group diffusion code in one, two, or three dimensions.
In this analysis two groups were used, a non-thermal and a thermal (MND) group as is industry practice.
e MIO986-0091A-0P03
-- w--,- - ..-- , , - . . - .
o BIG ROCK POINT HYBRID CONTROL R0D EVALUATION Page 5 of 35 FIGURE 2-1: FIDW CHART OF COMPUTER CODES USED IN THIS ANALYSIS rim cett DArA > MICBURN-1 CA00LINIA CROSS SEC710NS N/ \/ \/
ASsE m y DArA
) CASMO-2E Dix, ASSEPeLY MACR 0 CROSS SECrl0NS A40 CEOPErRY N/
PDO-7 V
CROUr FL'.51(S AND 50RON ASSOR9r10N MATES MIO986-0091A-0P03
o BIG ROCK POINT HYBRID CONTROL ROD EVAlbATION Pags 6 of 35 3.0 CALCULATIONS AND RESULTS The calculations were based on the following:
- 1. BRP, fresh reload assembly design (Figure 3-1)
- 2. Standard, B 4 C control rod design (Figure 3-2a)
- 3. Hybrid control rod design (Figure 3-2b)
- 4. Partially inserted control rod with the tip in a high power axial location in the core (Figure 3-3), at the expected exposure history (Figure 3-4).
The parameters calculated are:
k, = infinite multiplication factor UNR Rod
- a Rod Worth = = -
UNR K
m . K, Rod Boron Absorption = B-10 absorption rate / unit power in a B4 C pin in the control rod All calculations were documented in a calc file; second level review was performed.
3.1 VERIFICATION OF THE HAFNIUM LIBRARY To obtain cross sections for the hafnium pin cells in PDQ-7 the CDC-CYBERNET CASMO-2E was used because the CPC CASMO-2E cross section library does not contain hafnium. (The two codes are, otherwise, the same.) The CDC version contains two ENDF/B-5 hafnium libraries of interest:
ID = 72002 : BWR cruciform (Pin OD = 0.6cm, center-center = 0.8 cm)
ID = 72001 : PWR control rod geometry The sensitivity of the worth to library was examined. The K, and worth are as follows:
NOR0D BWR HAF PWR HAF Libra ry Library K-INF 1.24022 1.12575 1.12609 WORTH -
0.08199 0.08172 MIO986-0091A-OP03
BIG ROCK POINT HYBRID CONTROL ROD EVALUATION Page 7 of 35 The BWR-based cross sections produced virtually the same worth of the control rod as that of the PWR base hafnium cross sections.
This-indicates that the Big Rock Point control rod design is insen-sitive to the hafnium library used and allowed the selection of the BWR hafnium library.
The effect of the hafnium pin thickness was also examined by com-paring the following two hypothetical rodded assembly designs:
- 1. Hafnium control rod (Pin OD = 0.6ca, pin center-center = 0.8cm)
- 2. B4 C control rod with SS (OD = 0.6ca, pin center-center = 0.8 cm)
Both designs resulted in virtually the same worth as shown below.
This is as expected because both the hafnium and B C 4 control rods are " black".
NOROD All BaC All HAF K-INF 1.24022 1.12706 1.12749 WORTH -
0.08096 0.08062 The BWR hafnium library (ID = 72002) in the CYBERNET CASMO-2E is thus acceptable for the BRP hybrid control rod design analysis.
This library was used in all analyses.
3.2 CONTROL ROD WORTH CALCULATIONS To calculate the worth of the hybrid control rod design and compare it to the standard all B C control 4 rod design, CASMO-2E cases were run comparing all hafnium to all B C4 control rods at various operat-ing conditions. The cross sections at hot operating conditions were saved and input into PDQ-7 to model the actual hybrid control rod design and compare it to the standard control rod design.
3.2.1 CASMO-2E Single assembly calculations with CASMO-2E were performed.
Below are tabulated K-infinities and control rod worths of the CASMO-2E calculations comparing the all B 4C poisoned to the all hafnium poisoned Big Rock Point control rods at various conditions. These calculations demonstrate the effect of operating conditions on the control rod worth difference between the B4 C and hafnium poison for this
- control rod design.
MIO986-0091A-0P03 m.--- . . . , , . _ , - _ . ~ -m., - . _ _ _ - - _ _ _ . .-- . . , , . _ _ - . _ _ . . . - . . . _ _ . _ - - . . _ , - ~ . c-. .
BIG ROCK POINT HYBRID CONTROL ROD EVALUATION Page 8 of 35 COLD NOROD All B 4 C All HAF DIFFERENCE (%)
KINF 1.24022 1.12533 1.12575 0.037 WORTH --
0.08232 0.08199 -0.401 ,
0% VOID NOROD All B 4 C All HAF KINF 1.22262 1.06711 1.06874 0.153 WORTH --
0.11919 0.11777 -1.191 25% VOID NOROD ALL B 4C ALL HAF KINF 1.20410 1.03309 1.03469 0.155 WORTH --
0.13747 0.13598 -1.084 In the CASNO-2E cases above the all hafnium design has almost the same worth as the all B 4C under each condition (Delta < 0.002). For the hybrid design, which contains only two hafnium pins / wing, the difference in the worth would be much smaller.
3.2.2 PDQ-7 Single. assembly (Figure 3-Sa) calculations were performed with PDQ-7 using diffusion-equivalent cross sections from the corresponding CASNO-2E calculations. Below are tabulated the K-infinities and control rod worths of the PDQ-7 calculations comparing the standard Big Rock Point control rod design to the hybrid control rod design at various void conditions.
0% VOID NOROD STANDARD HYBRID DIFFERENCE (%)
KINF 1.21832 1.07030 1.07110 0.075 WORTH --
0.11352 0.11282 -0.617 25% VOID NOROD STANDARD HYBRID KINF 1.19468 1.03265 1.03365 0.097 WORTH --
0.13134 0.13040 -0.716 It is seen that both the standard and hybrid CR design have virtually the same worth.
The two control rod designs were compared in PDQ-7 also in the more realistic 2X2 assembly configuration in both two and three dimensions (Figure 3-3) as shown below.
s MIO986-0091A-0P03
BIG ROCK POINT KYBRID CONTROL ROD EVALUATION Pag 2 9 of 35 2-DIMENSIONAL 2X2 ASSEMBLY PDQ-7 CALCULATIONS 0% VOID NOROD STANDARD HYBRID KINF 1.22078 1.18908 1.18922 25% VOID NOROD STANDARD HYBRID KINF 1.19722 1.16221 1.16238 ,
3-DIMENSIONAL 2X2 ASSEMBLY PDQ-7 CALCULATIONS NOROD STANDARD HYBRID KINF 1.20067 1.17372 1.17378 In the PDQ-7 cases above the hybrid design has almost the same worth as the standard design under all conditions (Delta < 0.001). These calculations lead to the con-clusion that the hybrid control rod design can be modeled as a standard control rod design.
3.3 BORON ABSORPTION IN B C 4 PINS OF CONTROL ROD To calculate the relative absorption rates (i.e. , depletion rates) in the limiting B C4pins of the standard and hybrid designs PDQ-7 cases were run and the control rod B4 C absorption rates edited for pins 11, 16, 19, 20, 21, 22, 23, 24, 25 and 26 out from the center of the cruciform blade (Figure 3-2). The absorption rates were then normalized to the assembly power.
The normalized absorption rates are tabulated below for each geometry. The advantage of the hybrid control rod design is calcu-lated:
Advantage = *#Limiting Limiting Pin Standard Design Pin Hybrid Design The values are also plotted in Figures 3-6 and 3-7.
A) 2-Dimensional 1 Assembly Calculations
- 1) Description - Infinite Lattice of a Rodded Assembly.
l i
l MIO986-0091A-0P03
_ _ _ . ~ _ _, _ _ . _ _ _ _ _ . . _ . _ . _ . _ . _ . _ _ _ . _ _ . _ _ _ _ . .
i
=
BIG ROCK POINT HYBRID CONTROL R0D EVALUATION Paga 10 of 35
- 2) Results Normalized Absorption Rates I) 0% VOID
- Pins From Center Standard Hybrid 11 2.37 E08 2.37 E08
- 16 1.90 E08 1.90 E08 19 1.92 E08 1.93 EOS 20 1.95 EOS 1.95 E08 21 1.98 E08 1.99 E08 22 2.03 E08 2.05 E08 23 2.12 E08 2.16 E08 24 2.26 E08 2.36 E08 25 2.55 E08 Hafnium 26 3.23 E08 # Hafnium Advantage = 1.37 The values are plotted in Figure 3-6 II) 25% VOID
- Pins From Center Standard Hybrid 11 2.68 E08 2.68 E08
- 16 2.15 E08 2.15 E08 19 2.18 E08 2.18 E08 20 2.20 E08 2.21 E08 21 2.24 E08 2.25 E08 22 2.30 E08 2.32 E08 23 2.39 E08 2.43 E08 24 2.54 E08 2.66 E08 25 2.87 E08 Hafnium 26 3.70 E08 # Hafnium Advantage = 1.38 The values are plotted in Figure 3-7 B) 2-Dimensional 2X2 Assembly Calculations
- 1) Description - Infinite Latice of a rodded assembly adjacent to 3 unrodded assemblies.
MIO986-0091A-OP03
BIG ROCK POINT HYBRID CONTROL R0D EVALUATION Pag 2 11 of 35
- 2) Results Normalized Absorption Rates I) 0% VOID
- Pins From Center Standard Hybrid 11 2.35 EOS 2.35 EC8 16 1.92 E08 1.92 EOS 19 1.96 E08 1.96 E08 20 1.99 E08 1.20 EOS 21 2.03 E08 2.04 E08 22 2.10 E08 2.12 E08 23 2.19 E08 2.23 EOS 24 2.34 E08 2.44 E08
- 25 2.64 E08 Hafnium 26 3.34 E08 # Hafnium Advantage = 1.37 The values are plotted in Figure 3-8 II) 25% VOID
- Pins From Center Standard Hybrid 11 2.69 E08 2.69 E08 16 2.19 E08 2.19 E08 19 2.24 E08 2.24 E08 20 2.27 E08 2.28 E08 21 2.32 E08 2.33 E08 22 2.38 E08 2.40 EOS 23 2.48 E08 2.53 E08 24 2.64 E08 2.77 E08
- 25 2.98 E08 Hafnium 26 3.83 E08 # Hafnium Advantage = 1.38 The values are plotted in Figure 3-9 C) 3-Dimensional 2X2 Assembly Calculation
- 1) Description - Infinite latice of a rodded assembly ,
adjacent to 3 unrodded assemblies with a partially inserted control rod.
l MIO986-0091A-0P03
BIG ROCK POINT HYBRID CONTROL R0D EVALUATION Page 12 of 35
- 2) Results Normalized Absorption Rates I) Slice 31.2" from the control rod tip (0% Void)
- Pins From Center Standard Hybrid 11 2.34 E08 2.34 E08 16 1.91 E08 1.91 E08 19 1.96 E08 1.96 E08 20 1.99 E08 1.99 E08 21 2.03 E08 2.03 E08 22 2.10 E08 2.10 E08 23 2.19 E08 2.19 E08 24 2.34 E08 2.34 E08 25 2.64 E08 2.64 E08 26 3.34 E08 # 3.34 E08
- Advantage = 1.00 The values are plotted in Figure 3-10 II) Slice 17.0" from control rod tip (25% Void)
- Pins From Center Standard Hybrid 11 2.56 E08 2.56 E08 16 2.05 EOS 2.06 E08 19 2.10 E08 2.10 E08 20 2.14 E08 2.14 E08 21 2.18 E08 2.19 E08 22 2.25 E08 2.26 E08 23 2.35 E08 2.36 E08 24 2.51 E08 2.55 E08 25 2.85 E08 2.92 E08 26 3.67 E08 # 3.75 E08
- Advantage = 0.98 The values are plotted in Figure 3-11 l
MIO986-0091A-0P03
o BIG ROCK POINT HYBRID CONTROL ROD EVALUATION Page 13 of 35 III) Slice 16.6" from control rod tip (25% Void)
- Pins From Center Standard Hybrid 11 2.59 E08 2.58 E08 16 2.08 E08 2.08 E08 19 2.13 E08 2.13 E08 20 2.17 E08 2.17 E08 21 2.24 E08 2.22 E08 22 2.28 E08 2.29 E08
. 23 2.38 E08 2.41 E08 24 2.54 E08 2.62 E08
- 25 2.87 E08 Hafnium 26 3.71 E08 # Hafnium Advantage = 1.42 The values are plotted in Figure 3-12 IV) Slice 9.91" from the control rod tip (25% Void)
- Pins From Center Standard Hybrid 11 2.70 EOS 2.70 E08 16 2.19 E08 2.19 E08 19 2.24 E08 2.24 E08 20 2.27 E08 2.28 E08 21 2.32 E08 2.33 E08 22 2.39 E08 2.41 E08 23 2.48 E08 2.53 E08 24 2.64 E08 2.77 E08
- 25 2.99 E08 Hafnium 26 3.83 E08 # Hafnium Advantage = 1.38 The values are plotted in Figure 3-13 l
t MIO986-0091A-0P03
BIG ROCK POINT HYBRID CONTROL ROD EVALUATION Page 14 of 35 V) Slice 1.97" from control rod tip (25% Void)
- Pins From Center Standard Hybrid 11 2.82 E08 2.82 E08 *
, 16 2.26 E08 2.26 E08 19 2.29 E08 2.30 E08 20 2.32 E08 2.33 E08 21 2.36 E08 2.37 E08 22 2.42 E08 2.45 E08
. 23 2.52 E08 2.56 E08 24 2.67 E08 2.80 E08 25 3.00 E08 Hafnium 26 3.84 E08 # Hafnium Advantage = 1.36 The values are plotted in Figure 3-14 VI) Slice 0.79" from control rod tip (25% Void)
- Pins From Center Standard Hybrid
- 11 2.98 E08 2.97 E08
- 16 2.36 E08 2.36 E08 19 2.38 E08 2.39 E08 20 2.41 E08 2.42 E08 21 2.45 E08 2.46 E08 22 2.50 E08 2.53 E08 23 2.59 E08 2.64 E08 24 2.74 E08 2.87 E08 25 3.07 E08 Hafnium 26 3.91 E08
- Hafnium Advantage = 1.32 The values are plotted in Figure 3-15 i
i r
MIO986-0091A-0P03
. BIG ROCK POINT NYBRID CONTROL ROD EVALUATION Page 15 of 35 VII) Slice at the control rod tip (25% Void)
- Pins From Center Standard Hybrid 11 3.95 E08 3.94 E08
- 16 3.36 E08 3.36 E08 j 19 3.39 E08 3.40 E08 20 3.43 E08 3.44 E08 21 3.48 E08 3.49 E08 22 3.55 E08 3.57 E08 23 3.65 E08 3.70 E08 24 3.81 E08 3.93 E08 25 4.12 E08 Hafnium 26 4.78 E08 J Hafnium Advantage = 1.21 The values are plotted in Figure 3-16 I
MIO986-0091A-0P03
l BIG ROCK POINT HYBRID CONTROL ROD EVALUATION Page 16 of 35 4
FIGURE 3-1 : BIG ROCK POINT REIDAD ASSDEBLY i
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- 00000990000 90000000000 00000000000 00000000000 0.0000000000 .
k 000000000 -
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- Pitch = 0.'577" ' '
pellet Dia. = 0.37 5" L = .1.SJ4 0-235 Cladding i .
M = 2.404 U-235 i
N = 4 184 U-235 In = 0. 381" 00 = 0.449" g j i G = 1.804 U-235 2.04 Gd203
,, I = Inert rod - Sirc i MIO986-0091A-OP03
a BIG ROCK POINT IHBRID CONTROL ROD EVALUAT. ION Page 17 of 35 FIGURE 3-2 : BIG ROCK POINT WEAK CONTROL ROD DESIGN a 1 e
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a) STANDMD CCWFROL E00 DESIS (Top VIEN) i TWW 1 2 2 4 5 6 7 8 9 10 11 1213 1415 le 17181920212222 24 25 2e
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""TURES 1 - 10 ESTF = TURES 11 - 24 54C POWER SAIS AS OTRMhnB MSIM t
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- Tunes 25 -24 MAFWItat 300 DIA = 0.188 '
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MIO986-0091A-OP03
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BIG ROCK POINT HYBRID CONTROL ROD EVALUATI'ON Page 18 of 35 FIGURE 3-3 : AXIAL GEOMETRY FOR THIS ANALYSIS 8
REFLECTOR 70.0" CORE m A A g T FUEL T E T ASSDBLY E R E R g G G g A A g P y y 45.0" CONTROL ROD
\
roEL
. ASSEMBLY l
l 0.0" CORE BOTTON REFLECTOR MIO986-0091A-0P03
~~~~ ~ ~ ~ ~ '~ ' '~~
BIG ROCK POINT HYBRID CONTROL R0D EVALUATION Page 19 of 35 FIGURE 3-4: BIG ROCK POINT CONTROL ROD ANALYSIS:
AVERAGE POWER PER NODE OF A CONTROL ROD 70.0-Y 62 2 54.4
/
46.7 R
0 L 38.9 ./
~
31.i i
H T
23 3 15 6-78 l 0.0 0.0 o,'S 1.0 1.5 25 3 ,' o 2.0 MIO986-0091A-op03 LIFETIME AVERAGE POWER MW-THERMAL
BIG ROCK POINT HYBRID CONTROL R0D EVALUATION Page 20 of 35 FIGURE 3-5 : PDQ-7 GEOMETRY a) SINGLE ASSEMBLY (top view)
ONTROL ROD I
, FUEL BUNDLE p?g = 0 (all sides) 9 b) 2 X 2 ASSEMBLY (top view) i ,
p HTROL ROD I l l FUEL FUEL l BUNDLE BUNDLE vgg = 0 (all sic FUEL FUEL BUNDLE BUNDLE MIO986-009.A-0P03
BIG ROCK POINT HYBRID CONTROL R0D EVALUATION Page 21 of 35 FIGURE 3-6: BIG ROCK POINT CONTROL ROD ANALYSIS:
BORON ABSORPTION RATE I ASSEMBLY GEOMETRY 0% VOIDS 3 50 3.25 SlANDA RD li 3.00 8
0-l2.75 N
A B
S - <
i 0 2.50 )
R P
I 3
HYBRID I p 0 i N
2.25 #<
^
)I I
2.00 N \ -
/
\ / F M >H 1.75
' 1.50 ,,
10 11 12 13 i4 15 16 17 18 19 20 21 22 23 24 25 26 MIO986-0091A-OP03 840 ROD LOCA!!ON
BIG ROCK POINT HYBRID CONTROL R0D EVALUATION Page 22 of 35 FIGURE 3-7: BIG ROCK POINT CONTROL ROD ANALYSIS:
BORON ABSORPTION RATE 1 ASSEMBLY GEOMETRY 25% VOIDS 4.00 3.75 gi nng, gg 3.50 8
R 3.25 0
N A ~
B 0
3.00 R
T I i 0
N 2.75 R
4 HYBF ID I /
E /
\
y 2.50 N
.. , \ s
/
M -
2.00 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 MIO986-0091A-0F03
BIG ROCK POINr HYBRID CONTROL R0D EVALUATION Paga 23 of 35 FIGURE 3-8: BIG ROCK POINT CONTROL ROD ANALYSIS:
BORON ABSORPTION RATE 2X2 ASSEMBLY GEOMETRY 0% VOIDS 3.50 S1 ANDA RD ll 3.25 3.00 8
R 2 75
~
/
A B
S l2.50 HYBR 10 T /
i /
2 25 /
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N
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2.00 A ..M /
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1.75 1.50 10 11 l2 13 14 15 16 17 18 19 20 21 N2 23 N4 25 26 HIO986-0091A-0P03 84C ROD LOOATION II
BIG ROCK POINT HYBRID CONTROL R0D EVALUATION Page 24 of 35 FIGURE 3-9: BIG ROCK POINT CONTROL ROD ANALYSIS:
BORON ABSORPTION RATE 2X2 ASSEMBLY GEOMETRY 25% VOIDS 4.00 S1 ANDARD ll 3.75 1 3.50 f
8 R 3 25 l 0
N A
B 0 3.00 T
I.
O N HYBF ID R f A I /
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2.50 \ l [
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2 25 N\ J j /'
N /
2.00 MIO86-0091AbP0j 16 17 18 19 20 21 22 23 24 25 26 I 840 ROD LOCATION
s BIG ROCK POINT hTBRID CONTROL ROD EVALUATION Paga 25 of 35 FIGURE 3-10: BIG ROCK POINT CONTROL ROD ANALYSIS:
80RON ABSORBTION RATE 3D ASSEMBLY GEOMETRY 0% VOIDS 31.2 INCHES FROM TIP 3.50 A DPRO HYBR ID
/
3.25 3.00 8
R 2 75 0
N
/
^
8 o
2.50 R
T I
2.25
\\
g
! N /
2.00 N }
K .
M
\ t 1.75 1.50 3 14 15 16 l7 is 19 20 21 MIO9k6-0091A- 03 B4C ROD LOCATION
BIG ROCK POINT HYBRID CONTROL R0D EVALUATION Page 26 of 35 FIGURE 3-11: BIG ROCK POINT CONTROL ROD ANALYSIS:
BORON ABSOROTION RATE 3D ASSEMBLY GEOMETRY 25% VOIDS 17.0 INCHES FROM TIP 4.00 HYBF ID >
3 75 l .
S1 AND/ R0 l 3.50 I I
I I
B
,'l R 3 25 t 0
r N
A ' ;
B h300 R
T !
[N r 2 75 f R
t
/
A i
T
/
l E .
l 2.50
( a I
2 25 \ i
! \ [
I
\N # s/
2 00 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 MIO986-0091A-OP03 B4C ROD i.0 CATION i% . . , .
. _ . . _ _ _ . . _ _ _ . . _ _ _ . _ . . . _ _ _ _ . . . _ '~ $ -
BIG ROCK POINT HYBRID CONTROL R0D EVALUATION Pago 27 of 35 FIGURE 3-12: BIG ROCK POINT CONTROL ROD ANALYSIS:
BORON ABSORPTION RATE 3D ASSEMBLY GEOMETRY 25% VOIDS 16.6 INCHES FROM TIP 4.00 3.75
^
1A40;^0 ll 3.50 8
R 3 25 0
N A
8 .
0 3.00 R
T I
f f
0 '
i N )
2.75
/
f HYBR 10 i
2.50 N [
,' /
i j'
2 25 '
N P s J 2.00 i
10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 HIO986-0091A-0P03 84C ROD LOCATION
BIG ROCK POIhT HYBRID CONTROL R0D EVALUATION Pagn 28 of 35 FIGURE 3-13: BIG ROCK POINT CONTROL ROD ANALYSIS:
BORON ABSORnTION RATE 3D ASSEMBLY GEOMETRY 25% VOIDS 9.91 INCHES FROM TIP 4.00 STANDA R I
3.75 '
3.50 B
R 3.25 O
N A
B 0
3.00 ; ;
R T
i k HYBF ID 2.75 0 i
E .
/
2.50 2 25 - - d h i_-
2.00 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 MIO986-0091A-OP03 84C ROD LOCATION
i BIG ROCK POINT HYBRID CONTROL R0D EVALUATION Page 29 of 35 FIGURE 3-14: BIG ROCK POINT CONTROL ROD ANALYSIS:
BORON ABSORPTION RATE 3D ASSEMBLY GEOMETRY 25% VOIDS 1.97 INCHES FROM TIP 4.00 S1ANDARD ll 3.75 )
3.50 8
R 3.25 0
N A
8 .
0 3.00 , .
R T
I I HYBF ID O
2.75 l' T
N /
l <(
/
E ,
/
2.50
- N /
2.25
\\ t __ M sO 2.00 l 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 MIO986-0091A-0P03 84C ROD LOCATION l .
[ . - - _ _ _ - _ _ _ _ _ _ _
BIG ROCK POINT HYBRID CONTROL R0D EVALUATION Pega 30 of 35 FIGURE 3-15: BIG ROCK POINT CONTROL ROD ANALYSIS:
BORON ABSORPTION RATE 3D ASSEMBLY GEOMETRY 25% VOIDS 0.79 INCHES FROM TIP 4.00 Sim RO-l l 3.75 3.50 8
R 3 25 0
N A ,
B M 0
3.00 ,
I R
T HYBR ID I H 0
2.75 A /
E 2.50 ' 2//
N u- s#
2 25 2 00 M 0986-0091 OP0 B4C ROD LOCATION
. e BIG ROCK POINT HYBRID CONTROL R0D EVALUATION Page 31 of 35 FIGURE 3-16: BIG ROCK POINT CONTROL ROD ANALYSIS:
BORON ABSORPTION RATE 3D ASSEMBLY GEOMETRY 25% VOIDS AT TIP 1
5.00 STANDA RD 4.75 4 50 B
4 25 0 l N
~
B
!4.00 HYBF 10 R I ,
T P
/
N 1 <
3.75 ( '
//
R j'
3.50 'N r
/
%d 3 25 3.00 iO 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 MIO986-0091A-OP03 84C ROD LOCATION
s
- BIG ROCK POINT NYBRID CONTROL ROD EVALUATION Page 32 of 35 4.0 ANALYSIS OF RESULTS AND CONCLUSIONS 4.1 CONTROL ROD WORTH _
The control rod worths of the standard and hybrid control rod designs are virtually the same. The hybrid control rod design can be modeled as the standard all B 4C design.
4.2 BORON DEPLETION RATE A. The lifetime extension factor with the hybrid CR design in BRP was determined by combining the limiting pin boron absorption rates presented in Section 3.0 with the expected CR exposure history in Figure 3-4. The results are tabulated below and plotted on Figure 4-1.
Limiting Pio Boron Average Absorption Location Power Rate (Inches) (HW) (E08/ Watt) f Standard Pin #26 17.0" from Tip 2.059 3.67 16.6" from Tip 2.075 3.71 9.91" from Tip 2.287 3.83 1.97" from Tip 2.481 3.84 0.79" from Tip 2.507 3.91 Tip 2.525 4.78 Hybrid Pin #24 17.0" from Tip 2.059 2.55 16.6" from Tip 2.075 2.62 9.91" from Tip 2.287 2.77 1.97" from Tip 2,481 2.80 0.79" from Tip 2.507 2.87 Tip 2.525 3.93 B. Since the criterion for CR lifetime in BRP is related to the total boron absorption in the limiting B 4 C pin in the upper 1/4 of the blade, the curves on Figure 4-1 were integrated over this part of the assembly for the standard B 4 C and hybrid designs. The result is Std CR Limiting Pin Boron Absorption Hybrid CR Limiting Pin Boron Absorption
, 65.15 47.21
= 1.38 CONCLUSIONS It is concluded that the hybrid control rod design has a lifetime 1.38 times longer than the standard control rod design.
MIO986-0091A-OP03
BIG ROCK POINT HYBRID CONTROL ROD EVALUATION Page 33 of 35 FIGURE 4-1 :
BIG ROCK POINT CONTROL ROD ANALYSIS:
BORON. AXIAL ABSORPTION RATE O ,
f f i
5 1
1 1YBRID STAN! LARD C 10 N
0 [
4 /
15 ,
R b 8 l L 20 !
8 A - /
! /
0 25 J
/
N ,
F R [
0 M 30 T
I P
35 C
H ,
E '
S 40 45 2.5 3.0 3.5 4.0 4.5 5.0 MIO986-0091A-OP03
o, ,
BIG ROCK POINT HYBRID CONTROL R0D EVALUATION Peg 2 34 of 35 REFERENCES
- 1) Procedure (UAI 86-27)
- 2) Edenius Malte, Ahlin Ake, "MICBURN Microscopic Burnup in Gadolinia Pins",
Studsvik, November 1975.
- 3) Edenius Malte, Ahlin Ake, Haggblom Hans, "CASMO-2 A Fuel Assembly Burnup Pregram User's Manual", Studsvik Report /NR-81/3.
- 4) Brown A.W., McClure J.A., Wagner R.J. (Aerojet Nuclear Company) " Summary of PDQ-7 Input Data Requirements and Operating Procedures" ANCR-1061 March 1972.
MIO986-0091A-OP03
. * , e BIG ROCK POINT KYBRID CONTROL ROD EVALUATION Pega 35 of 35 BIBLIOGRAPHY
- 1. Weast Robert C., " Handbook of Chemistry and Physics 57th Edition", CRC Press 1976.
- 2. " Design Report for Big Rock Point I-1", KN-NF-85-38(P) Rev 0, Exxon 04/30/85. ,
- 3. Soltis Steven M., " Generate GROK I-1 Fuel Constants", B*F*I1*850408, UFI-740/22*13*21, Consumers Power Company Palisades Reactor Engineering Physics Design and Follow Section, 04/08/E5.
- 4. Walker F William, Kirouac George J., Rourse Francis M., " Chart of the Nuclides 12th Edition Revised", General Electric Company, 1977.
- 5. Benedict Manson, Pigfard Thomas H., Levi Hans Wolfgang, " Nuclear Chemical Engineering 2nd Edition", McGraw-Hill 1981.
- 6. " Big Rock Point Fuel Data Book", ORP-B-05, Consumers Power Company Palisades Reactor Engineering Physic Design and Follow Section.
- 7. Meyer C.A., McClintock R.B., Silvestri G.J., Spencer, R.C. Jr., "ASME Steam Tables 4th Edition", ASME 1979.
- 8. Moss r., " Channel Detail" Drawing 2-BRM-3.201.1 Sheet 2 of 3 Rev 6.
- 9. " Final Hazards Summary Report for Big Rock Point" Nov 14, 1961.
- 10. Letter to R.H. Dedrick from GT Ladd of NUCOM dated Feb 18, 1986.
- 11. Letter to Kevin J Shields from Peter Rashid of Studsvik of America dated March 26, 1986.
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