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Frontiers in Energy

ISSN 2095-1701

ISSN 2095-1698(Online)

CN 11-6017/TK

Postal Subscription Code 80-972

2018 Impact Factor: 1.701

Front. Energy    2021, Vol. 15 Issue (1) : 256-278    https://doi.org/10.1007/s11708-018-0583-x
RESEARCH ARTICLE
Core designing of a new type of TVS-2M FAs: neutronics and thermal-hydraulics design basis limits
Saeed GHAEMI1, Farshad FAGHIHI2()
1. Department of Nuclear Engineering, School of Mechanical Engineering, Shiraz University, Shiraz 71936-16548, Iran
2. Department of Nuclear Engineering, School of Mechanical Engineering, Shiraz University, Shiraz 71936-16548, Iran; Radiation Research Center, Shiraz University, Shiraz 71936, Iran; Lonizing and Non-lonizing Radiation Center, Shiraz University of Medical Science, Shiraz, Iran
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Abstract

One of the most important aims of this study is to improve the core of the current VVER reactors to achieve more burn-up (or more cycle length) and more intrinsic safety. It is an independent study on the Russian new proposed FAs, called TVS-2M, which would be applied for the future advanced VVERs. Some important aspects of neutronics as well as thermal hydraulics investigations (and analysis) of the new type of Fas are conducted, and results are compared with the standards PWR CDBL. The TVS-2M FA contains gadolinium-oxide which is mixed with UO2 (for different Gd densities and U-235 enrichments which are given herein), but the core does not contain BARs. The new type TVS-2M Fas are modeled by the SARCS software package to find the PMAXS format for three states of CZP and HZP as well as HFP, and then the whole core is simulated by the PARCS code to investigate transient conditions. In addition, the WIMS-D5 code is suggested for steady core modeling including TVS-2M FAs and/or TVS FAs. Many neutronics aspects such as the first cycle length (first cycle burn up in terms of MWthd/kgU), the critical concentration of boric acid at the BOC as well as the cycle length, the axial, and radial power peaking factors, differential and integral worthy of the most reactive CPS-CRs, reactivity coefficients of the fuel, moderator, boric acid, and the under-moderation estimation of the core are conducted and benchmarked with the PWR CDBL. Specifically, the burn-up calculations indicate that the 45.6 d increase of the first cycle length (which corresponds to 1.18 MWthd/kgU increase of burn-up) is the best improving aim of the new FA type called TVS-2M. Moreover, thermal-hydraulics core design criteria such as MDNBR (based on W3 correlation) and the maximum of fuel and clad temperatures (radially and axially), are investigated, and discussed based on the CDBL.

Keywords TVS-2M FAs      core design basis limits      VVER-1000      analysis      mixture of uranium-gadolinium oxides fuels      thermal-hydraulics      PARCS      WIMS-D5     
Corresponding Author(s): Farshad FAGHIHI   
Just Accepted Date: 25 July 2018   Online First Date: 21 September 2018    Issue Date: 19 March 2021
 Cite this article:   
Saeed GHAEMI,Farshad FAGHIHI. Core designing of a new type of TVS-2M FAs: neutronics and thermal-hydraulics design basis limits[J]. Front. Energy, 2021, 15(1): 256-278.
 URL:  
https://academic.hep.com.cn/fie/EN/10.1007/s11708-018-0583-x
https://academic.hep.com.cn/fie/EN/Y2021/V15/I1/256
Isotope Abundance s/barns
152 (unstable) 0.20 1056
154 (stable) 2.15 84.99
155 (stable) 14.73 60200
156 (stable) 20.47 2.188
157 (stable) 15.68 226000
158 (stable) 24.87 (most) 2.196
160 (stable) 21.90 0.7961
Sum 100.00
Tab.1  Abundances of natural gadolinium isotopes (Z = 64, A = 157.25), and their thermal absorption cross section (s) values
Fig.1  Details of the core configuration of the TVS-2M and the current BNPP VVER-1000/443 including TVS FAs
Fig.2  Details of the five types of TVS-2M FAs
Fig.3  Distribution of CPS-CR
Parameter TVS-2M FA TVS FA
Geometry
Number of fuel rods per assembly
Heated fuel
Unheated fuels (guide tubes for control rod insertion)
Measuring tube
Fuel assembly overall length/mm
Fuel assembly overall width/mm
Fuel rod length/mm
Active fissioning length/mm
Fuel rod outside diameter/mm
Pellet length/mm
Pellet outside diameter/mm
Pellet density/(g·cm−3)
Average linear heat rate of the pin/(kW·m−1)
Peak linear heat rate of the pin/(kW·m−1)
Cladding material
Cladding thickness/mm
Spacer grid material
Hex
331
312
19
1
4570
235
3988
3680
9.1
9–12
7.6
10.4–10.7
16.0
44.8
Zircalloy-4+1%Nb
0.65
Zircalloy-4+1%Nb
Hex
331
311
19
1
4570
235
3836
3530
9.1
9–12
7.8
10.4–10.7
16.7
44.8
Zircalloy-4+1%Nb
0.65
Zircalloy 4+1%Nb
Tab.2  Characteristics of TVS-2M and TVS fuel assemblies
Fig.4  Schemes of the TVS-2M and TVS fuel rods
State Water density
/(g?cm–3)
UO2 density
/(g?cm–3)
(U+Gd)O2 density*
/(g?cm–3)
TVS core
moderator/fuel ratio
TVS-2M core
moderator/fuel ratio
Relative moderator/fuel ratio
(TVS-2M core/TVS core)
CZP
HZP
HFP
1.0
0.75
0.67
10.5
10.3
10.2
10.4–10.6
10.3–10.4
10.2–10.3
1.71
1.40
1.38
1.85
1.48
1.46
1.08
1.06
1.06
Tab.3  Relative moderator-to-fuel ratio for both cores at three states of CZP, HZP as well as HFP, and at the BOC
Fig.5  Intersection of the fuel rod linear heat rate (LHR) qrod (near cosine shape) and qDNB (which is found from W3 correlations) is called ZDNB
L/m P/MPa T/oC Xe hg/(kJ?kg–1) hf/(kJ?kg–1) h (actual)/ (kJ?kg1) q''uniform
/(kW?m2)
DNBR
0
0.355
0.71
1.065
1.42
1.775
2.130
2.485
2.840
3.195
3.550
3.80
15.700
15.6887
15.6773
15.6659
15.6546
15.6434
15.6321
15.6210
15.6098
15.5987
15.5877
15.6907
291
291.8
293.75
296.9
300.8
307.0
313.8
319.4
324.1
327.1
327.8
328.2
–0.3667962
–0.361452
–0.349617
–0.331099
–0.307588
–0.270522
–0.228109
–0.191895
–0.160964
–0.140401
–0.134659
–0.131766
2590.1
2590.4
2590.8
2591.1
2591.5
2591.8
2592.1
2441.2
2441.4
2593.2
2593.5
2594.1
1637.8
1637.3
1636.9
1636.4
1636.0
1635.5
1635.1
1608.2
1607.2
1633.7
1633.3
1632.5
1288.5
1292.8
1303.4
1320.3
1342.1
1376.8
1416.8
1450.9
1479.9
1499.1
1504.0
1508.1
5495.89145
5440.06737
5314.11664
5115.51356
4866.44034
4471.45220
4039.71262
3613.44605
3263.47834
3179.40161
3133.99995
3078.56739
14.5
12.4
6.0
4.15
3.31
2.86
2.62
2.70
3.12
4.88
16.43
18.65
Tab.4  Values for calculating uniform critical heat flux in the hottest channel
Fig.6  Non-uniform DNB heat flux and calculation of MDNBR
Fig.7  Schematicradial temperature variations in the solid fuel meat, gap, and clad for temperature-dependent kf
Fig.8  Thermal conductivity coefficient of (U+ Gd)O2 fuel having different densities of gadolinium Gd oxides
Parameter Value
(U+Gd)O2 heat conduction coefficient (at 1500 K)/(W?m−1?K−1)
Clad heat conduction coefficient (at 600 K)/(W? m−1?K−1)
Gap heat conduction coefficient (at 700 K)/(W? m−1?K−1)
Clad thickness/mm
Gap thickness/mm
Outer fuel radius/mm
Inner fuel radius/mm
Total core flow rate/(m3?h−1) or /(kg?s−1)
Channel flow rate/(kg?s−1)
Inlet temperature/oC
CP/(J?kg−1?K−1) (water at 2000 psi, and 593 K)
Fuel length/mm
Extrapolated length/m
Pellet density/(g?cm−3)
Average fuel power rate/(kW?m−1)
Maximum fuel power rate/(kW?m−1)
2.65
17.3
0.282
0.65
0.85
3.8
1.0
84800 or 16724 (at density= 0.65)
0.34
290
5610.3
3680
3750
10.4–10.7
16.0
44.8
Tab.5  Useful data for estimating the clad maximum temperature of the TVS-2M fuel pin
Fig.9  Axial temperatures variations of the fuel meat, clad, and coolant along with a vertical channel including physical length l and the neutronics extrapolated length of lex
Fig.10  Schematic flowchart for implementation of the SARCS and PARCS codes
FA type No. of FA Average enrichment of FA No. of rods in FA-rod’s enrichment No. of (Gd+U)O2 pins-enrichment in Gd pins- Gd2O3 concentration
Type I Type II
U13 48 1.3 312-1.3
U22 42 2.2 312-2.2
U30Y9 37 2.98 303-3.0 9-2.4-8
U30A9 24 3.89 243-4.0 60-3.6 9-3.3-5
U39B6 12 3.9 240-4.0 66-3.6 6-3.3-5
Tab.6  Characteristics of the five types of FAs in the TVS-2M core (the schemes of each type were also given in Fig. 2)
State variables Range of operation
CR (un-rodded) 0 0 0
CD/(g?cm−3) 0.997907 0.8979 0.7979
PC/ppm 1000 0.0 2000
TF/K 293 - -
TC/K 293 -
Tab.7  Limits of state variables covering the CZP condition
State variables Range of operation
CR (un-rodded or rodded) 0 1 1
CD/(g?cm−3) 0.763032 0.66114 0.7935
PC/ppm 1000 0.0 2000
TF/K 553 1400 900
TC/K 553 600 -
Tab.8  Limits of state variables covering the HZP condition
State variables Range of operation
CR (un-rodded or rodded) 0 0 1 1 1
CD/(g?cm−3) 0.70659 0.60000 0.50000 0.80000 0.90000
PC/ppm 1000.0 0 1000 1500 2000
TF/K 300 1000 1500 2000 2500
TC/K 580 500 650 - -
Tab.9  Limits of state variables covering the HFP condition
FA type PARCS WIMS
U13 0.901355 0.901220
U22 1.082318 1.082251
U30Y9 1.090920 1.090831
U39A9 1.182363 1.182301
U39B6 1.205286 1.205234
Tab.10  Infinite multiplication factor for the TVS-2M core at HZP
Fig.11  Integral worth of the CPS-CRs group number 8, 9, and 10 in the TVS as well as TVS-2M cores
Fig.12  Differential worth for the TVS and TVS-2M cores, and for the most RCCA banks (Nos. 8, 9, and 10)
Fig.13  Boric acid concentrations by insertion of the most RCCA banks Nos. 8, 9, and 10 for both TVS and TVS-2M cores
Fig.14  Radial power peaking factor (RPPF) for both cores during first life-cycle together with error-bar for the TVS-2M core
Fig.15  Maximum linear heat rate for both cores during the first life cycle and percentage error-bar for the TVS-2M core
Fig.16  Axial power peaking factor during the first life-cycle and the standard error-bar for the TVS-2M core (This axial peaking factor is calculated in the most heated channel (radial peaking)
Fig.17  Reactivity a few seconds after the most reactive control rod insertion at different initial powers
Fig.18  Boric acid concentration for both cores in the first life-cycle (The standard error-bar is inserted for the TVS-2M calculations.)
Fig.19  Fuel reactivity coefficient for the TVS-2M and TVS cores during burnups (The standard error-bar is found for the TVS-2M calculations.)
Fig.20  Boric acid reactivity coefficient for the TVS-2M and the TVS cores (Percentage error-bar is shown for the TVS-2M results.)
Fig.21  Moderator (water) density reactivity coefficient for the TVS-2M and TVS cores (Percentage error-bar is found for the TVS-2M calculations.)
Fig.22  Burnup calculations for both cores based on linear reactivity model (Based on the above results, the TVS-2M core has 1.18 MWd/kgU more burnup.)
Fas Fuel assembly
PWR Pressurized-water reactor
CDBL Core design basis limits
BAR Burnable absorber rod
SARCS Shiraz-University advanced regenerator of cross section library
CZP Cold zero power
HZP Hot zero power
HFP Hot full power
BOC Beginning of cycle
CPS-CR Control protection system-control rod
MDNBR Minimum departure from nucleate boiling ratio
EFPH Effective full power hours
NPP Nuclear power plant
BNPP Bushehr nuclear power plant
TVS core The current VVER core filled with different UO2 enrichments pins and also BARs which is shown herein TVS-2M core: The new proposed advanced VVER core filled with TVS-2M FAs which is shown herein
DNB Departure from nucleate boiling
CHF Critical heat flux
RCCA Reactivity of cluster control-rod assembly
APPF Axial power peaking factor
DBA Design basis accident
SG Steam generator
  
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