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FAST NEUTRON FLUX EFFECT ON VVER RPV’s LIFETIME ASSESSMENT

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Influence of atomic displacement rate, neutron spectrum and irradiation temperature on radiation-induced ageing of power reactor components. FAST NEUTRON FLUX EFFECT ON VVER RPV’s LIFETIME ASSESSMENT. D . Е rak Ya . Shtrombakh , P . Platonov , А. А maev , Yu. Kevorkian, А. Chernobaeva - PowerPoint PPT Presentation
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FAST NEUTRON FLUX EFFECT FAST NEUTRON FLUX EFFECT ON VVER RPV’s LIFETIME ON VVER RPV’s LIFETIME ASSESSMENT ASSESSMENT D D . Е . Е rak rak Ya Ya . . Shtrombakh Shtrombakh , , P P . . Platonov Platonov , А. , А. А А maev maev , , Yu. Kevorkian, Yu. Kevorkian, А. А. Chernobaeva Chernobaeva Research Institute of Atomic Reactors Research Institute of Atomic Reactors Dimitrovgrad - Ulianovsk, Russia Dimitrovgrad - Ulianovsk, Russia October October 200 200 5 5 RUSSIAN RESEARCH CENTER KURCHATOV KURCHATOV INSTITUTE INSTITUTE” Influence of atomic displacement rate, neutron spectrum Influence of atomic displacement rate, neutron spectrum and irradiation temperature on radiation-induced ageing and irradiation temperature on radiation-induced ageing of power reactor components of power reactor components
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Page 1: FAST NEUTRON FLUX EFFECT ON VVER RPV’s LIFETIME ASSESSMENT

FAST NEUTRON FLUX FAST NEUTRON FLUX EFFECT ON VVER RPV’s EFFECT ON VVER RPV’s LIFETIME ASSESSMENTLIFETIME ASSESSMENT

DD. Е. ЕrakrakYaYa. . ShtrombakhShtrombakh, , PP. . PlatonovPlatonov, А. , А.

ААmaevmaev, , Yu. Kevorkian, Yu. Kevorkian, А. А. ChernobaevaChernobaeva

Research Institute of Atomic ReactorsResearch Institute of Atomic Reactors Dimitrovgrad - Ulianovsk, Russia Dimitrovgrad - Ulianovsk, Russia

October October 20020055

RUSSIAN RESEARCH CENTER

““KURCHATOVKURCHATOV INSTITUTEINSTITUTE””

Influence of atomic displacement rate, neutron spectrum and Influence of atomic displacement rate, neutron spectrum and irradiation temperature on radiation-induced ageing of power reactor irradiation temperature on radiation-induced ageing of power reactor

componentscomponents

Page 2: FAST NEUTRON FLUX EFFECT ON VVER RPV’s LIFETIME ASSESSMENT

CONTENTCONTENT

VVER-440VVER-440• Why we should investigate Neutron Flux Effect in VVER Why we should investigate Neutron Flux Effect in VVER

RPV’s materials radiation embrittlementRPV’s materials radiation embrittlement

• The Investigation Program carried out The Investigation Program carried out

• Conclusions, further worksConclusions, further works

Some words about VVER-1000Some words about VVER-1000

Page 3: FAST NEUTRON FLUX EFFECT ON VVER RPV’s LIFETIME ASSESSMENT

RPVs VVER-440

Page 4: FAST NEUTRON FLUX EFFECT ON VVER RPV’s LIFETIME ASSESSMENT

Two generation of VVER-440 type units are in operation:VVER-440/230 and VVER-440/213VVER-440/230 and VVER-440/213

VVER-440/230 VVER-440/213

Generation 1 Generation 2

VVER RPV EOL basically depends on weld seam Radiation Embrittlement (RE)

High P and Cu contents:

Up to 0.040 % P Up to 0.028 % P

Up to 0.20 % Cu

< 0.3 % Ni

No Surveillance Specimens Surveillance Specimens Program

Without cladding With cladding

All units were annealed – EOL depends on re-irradiation

EOL depends on the primary RE

Page 5: FAST NEUTRON FLUX EFFECT ON VVER RPV’s LIFETIME ASSESSMENT

RPVs VVER-440/230

Unit Start Annealing Templet cuttingWeld № 4

P, % Cu, % Ni, %

NVNPP-3 1971 1987, 1991

1991, 1995, 2003 0.033 0.135

<0.2NVNPP-4 1972 1991 1991, 1995 0.029 0.17

KolaNPP-1 1973 1989 2001 0.034 0.14

KolaNPP-2 1974 1989 1999 0.039 0.18

End of Life:NVNPP-3 - 2001 NVNPP-4 - 2002 KolaNPP-1 - 2003 KolaNPP-2 - 2004

Page 6: FAST NEUTRON FLUX EFFECT ON VVER RPV’s LIFETIME ASSESSMENT

RPVs VVER-440/213

Unit StartWeld № 4 Base metal

P, % Cu, % Ni, % P, % Cu, % Ni, %

KolaNPP-3 1982 0.010 0.03

<0.3

0.011 0.09

<0.3KolaNPP-4 1984 0.018 0.04 0.013 0.11

RovnoNPP-1 1981 0.028 0.18 0.014 0.14

RovnoNPP-2 1982 0.023 0.03 0.012 0.11

End of Life:RovnoNPP-1 - 2011 RovnoNPP-2 - 2012 KolaNPP-3 - 2012 KolaNPP-4 - 2014

Page 7: FAST NEUTRON FLUX EFFECT ON VVER RPV’s LIFETIME ASSESSMENT

VVER-440/213 surveillance programs

Unit StartWeld № 4 Tested (unloaded) sets

P, % Cu, % Ni, % 1 2 3 4 5 6 KolaNPP-3 82 0.010 0.03

<0.2

+ + + + + KolaNPP-4 84 0.018 0.04 + + + + RovnoNPP-1 81 0.028 0.18 + + + + + RovnoNPP-2 82 0.023 0.03 + + + + (+)

Page 8: FAST NEUTRON FLUX EFFECT ON VVER RPV’s LIFETIME ASSESSMENT

The problems of VVER-440/230 RPV

All VVER-440/230 RPVs were annealed because of extremely high rates of radiation embrittlement of the core welds

Re-irradiation embrittlement kinetics determines RPV steels lifetime

Re-irradiation embrittlement Data Base is highly restricted

Page 9: FAST NEUTRON FLUX EFFECT ON VVER RPV’s LIFETIME ASSESSMENT

CUTTING OF TEMPLETS ALLOWED TO OBTAIN CUTTING OF TEMPLETS ALLOWED TO OBTAIN FIRST ACTUAL RESULTS OF THE 1FIRST ACTUAL RESULTS OF THE 1STST GENERATION GENERATION

RPV MATERIALS PROPERTIESRPV MATERIALS PROPERTIES

Page 10: FAST NEUTRON FLUX EFFECT ON VVER RPV’s LIFETIME ASSESSMENT

First templets results showed effectiveness of annealing procedure

The only way to predict RPV material behavior – accelerated irradiation in VVER-440 SS channels

Page 11: FAST NEUTRON FLUX EFFECT ON VVER RPV’s LIFETIME ASSESSMENT

REIRRADIATION OF TEMPLETS WAS PERFORMED IN REIRRADIATION OF TEMPLETS WAS PERFORMED IN

VVER-440VVER-440//213213 SURVEILLANCE CHANNELS SURVEILLANCE CHANNELS

Location scheme of the surveillance chains in VVER-440/213 pressure

vessel

Full core – “high flux” irradiation

Reduced core – “low flux” irradiation

Page 12: FAST NEUTRON FLUX EFFECT ON VVER RPV’s LIFETIME ASSESSMENT

Are the irradiation conditions of specimens Are the irradiation conditions of specimens equal to RPV wall conditions?equal to RPV wall conditions?

TemperatureTemperature

Neutron FluxNeutron Flux

Is it correct to use the results Is it correct to use the results

of irradiated specimensof irradiated specimens

for RPV lifetime assessment? for RPV lifetime assessment?

Page 13: FAST NEUTRON FLUX EFFECT ON VVER RPV’s LIFETIME ASSESSMENT

Direct measurements of irradiation temperature carried out with Direct measurements of irradiation temperature carried out with thermocouples in surveillance channels of Kola NPP-3 showed that thermocouples in surveillance channels of Kola NPP-3 showed that overheat of surveillance specimens as compared to RPV inner surface in overheat of surveillance specimens as compared to RPV inner surface in the core region does not exceed 5°C.the core region does not exceed 5°C.

Tracing scheme of thermocouple

269,7 271,4270,6

265.3

01.10.0110-00

266.1

02.10.0114-30

265.9

02.10.0102-00

200

210

220

230

240

250

260

270

280

Te

mp

era

ture

, "С

70

80

90

100

He

at

po

we

r, %

COBRA project COBRA project resultsresults

Page 14: FAST NEUTRON FLUX EFFECT ON VVER RPV’s LIFETIME ASSESSMENT

SS capsules

Core barrel

Core center

Core center

Reactor pressure vessel

Flux Flux on SSon SS

Neutron flux on Neutron flux on SS 10-20 times SS 10-20 times higher than on higher than on inner surface of inner surface of RPV wall RPV wall

Page 15: FAST NEUTRON FLUX EFFECT ON VVER RPV’s LIFETIME ASSESSMENT

Flux effect study is very importantFlux effect study is very important

for VVER-440 RPV lifetime assessment.for VVER-440 RPV lifetime assessment.

In 1987 special program was In 1987 special program was startedstarted

Page 16: FAST NEUTRON FLUX EFFECT ON VVER RPV’s LIFETIME ASSESSMENT

MaterialsMaterials

MaterialsMaterials CC MnMn SiSi NiNi CrCr MoMo VV CuCu PP SS

BM 109868BM 109868 0.170.17 0.420.42 0.200.20 0.150.15 2.602.60 0.590.59 0.200.20 0.100.10 0.0220.022 0.0130.013

WeldWeld 12 12 0.060.06 0.770.77 0.290.29 0.140.14 1.511.51 0.530.53 0.120.12 0.080.08 0.0130.013 0.0100.010

WeldWeld 28 28 0.050.05 1.211.21 0.450.45 0.130.13 1.311.31 0.440.44 0.180.18 0.140.14 0.0280.028 0.0170.017

WeldWeld А2 А2 00..0707 11..3030 00..5656 00..1616 11..6363 00..5050 00..2222 0.180.18 0.0280.028 00..022022

WeldWeld 37 37 0.060.06 1.321.32 0.200.20 0.150.15 1.111.11 0.380.38 0.200.20 0.130.13 0.0360.036 0.0110.011

BMBM 108033 108033 0.170.17 0.490.49 0.280.28 0.130.13 2.722.72 0.620.62 0.330.33 0.140.14 0.0140.014 0.0100.010

Page 17: FAST NEUTRON FLUX EFFECT ON VVER RPV’s LIFETIME ASSESSMENT

High flux irradiationHigh flux irradiation –А –Аrmeniarmenia-2-2 (full core) (full core)Low flux irradiationLow flux irradiation – – RovnoRovno-1-1 (reduced core) (reduced core)Irradiation temperatureIrradiation temperature - - 270270ооСС

1 10 100-5

0

5

10

15

20

ss channel full core

RPV wall

P-0.022% Cu-0.10% P-0.013% Cu-0.08% P-0.028% Cu-0.12% P-0.028% Cu-0.18% P-0.036% Cu-0.13%

Flu

ence

х 1

019, с

м-2(E

>0.

5 M

eV)

Flux х 1011

, см-2с

-1(Е>0.5MeV)

Page 18: FAST NEUTRON FLUX EFFECT ON VVER RPV’s LIFETIME ASSESSMENT

Experimental data matrix consists of Experimental data matrix consists of 52 52 pointspoints

0 50 100 150 2000

20

40

60

80

100

120

140

160

180

200

220

240

y=x

correlation between predicted and experimental values

for low flux

correlation between predicted and experimental values

for high flux

low flux high flux

TK(e

xper

imen

tal)

,o C

TK=800(P+0,07Cu)F1/3, oC

Page 19: FAST NEUTRON FLUX EFFECT ON VVER RPV’s LIFETIME ASSESSMENT

Comparison of the data obtained after Comparison of the data obtained after

irradiation by high and low dose ratesirradiation by high and low dose rates

• Function dependence Function dependence TTКК==AAFFFF0.330.33 was was chosenchosen as inas in Russian GuideRussian Guide

• 95% upper and lower boundaries:95% upper and lower boundaries:

0.330.95 1FB A t n s F

Page 20: FAST NEUTRON FLUX EFFECT ON VVER RPV’s LIFETIME ASSESSMENT

The statistical test was used for the evaluationThe statistical test was used for the evaluation ofof difference between high and low fluxes datadifference between high and low fluxes data

• It tests the hypothesis that corresponding coefficients It tests the hypothesis that corresponding coefficients (A(AFF) of two models are equal) of two models are equal..

• Small (< 0.05) Small (< 0.05) РР-values means that hypothesis should -values means that hypothesis should be rejected (on 95% significance level), and each be rejected (on 95% significance level), and each data group should be described by its own model.data group should be described by its own model.

• Otherwise two data groups should be described by Otherwise two data groups should be described by one model.one model.

Page 21: FAST NEUTRON FLUX EFFECT ON VVER RPV’s LIFETIME ASSESSMENT

The results ofThe results of experimental data evaluation by experimental data evaluation by statistical teststatistical test

MaterialMaterial РР-value-value

BM 109868BM 109868 0.11 0.11 0.05 0.05

WWММ 12 12 0.24 0.24 0.05 0.05

WWММ 28 28 0.02 0.02 0.05 0.05

WWМ А2М А2 0.04 0.04 0.05 0.05

WWМ 37М 37 0.61 0.61 0.05 0.05

BM 108033BM 108033 0.01 0.01 0.05 0.05

Page 22: FAST NEUTRON FLUX EFFECT ON VVER RPV’s LIFETIME ASSESSMENT

Р-value=0.610.05

0 50 100 150 2000

50

100

150

200

250

300

95% boundary for high flux

95% boundary for low fluxlow flux

high flux

weld 37 low flux weld 37 high fluxT

K,o C

Fluence x 1018

, cm-2

Page 23: FAST NEUTRON FLUX EFFECT ON VVER RPV’s LIFETIME ASSESSMENT

Р-value=0.04 0.05

0 50 100 150 2000

50

100

150

200

250

300

high flux

low flux

95% boundary for low flux

95% boundary for high flux

weld A2 high flux weld A2 low flux

TK, o C

Fluence x 1018

, cm-2

Page 24: FAST NEUTRON FLUX EFFECT ON VVER RPV’s LIFETIME ASSESSMENT

Р-value=0.01 0.05

0 50 100 150 2000

50

100

150

200

250

300

95% boundary for high flux

95% boundary for low flux

high flux

low flux

BM 108033 low flux BM 108033 high flux

TK, o C

Fluence x 1018, cm-2

Page 25: FAST NEUTRON FLUX EFFECT ON VVER RPV’s LIFETIME ASSESSMENT

All experimental data All experimental data

0 50 100 150 2000

20

40

60

80

100

120

140

160

180

200

220

240

y=x

correlation between predicted and experimental values

for low flux

correlation between predicted and experimental values

for high flux

low flux high flux

TK(e

xper

imen

tal)

,o C

TK=800(P+0,07Cu)F1/3, oC

Page 26: FAST NEUTRON FLUX EFFECT ON VVER RPV’s LIFETIME ASSESSMENT

Experimental data for materials with high Experimental data for materials with high Cu-content show significant flux effectCu-content show significant flux effect

0 50 100 150 2000

20

40

60

80

100

120

140

160

180

200

220

240

y=x

correlation between predicted and experimental values

for low flux

correlation between predicted and experimental values

for high flux

low flux high flux

TK(e

xper

imen

tal)

,o C

TK=800(P+0,07Cu)F1/3, oC

Page 27: FAST NEUTRON FLUX EFFECT ON VVER RPV’s LIFETIME ASSESSMENT

For flux effect evaluation the difference in For flux effect evaluation the difference in ΔΔTTKK

was used:was used:

dd= = ΔΔ T TKK(low flux(low flux)- )- ΔΔ T TKK(high flux(high flux))

for the fluence 4x10for the fluence 4x101919 сm сm-2-2..

Page 28: FAST NEUTRON FLUX EFFECT ON VVER RPV’s LIFETIME ASSESSMENT

Correlation parameters (Correlation parameters (RR) between ) between dd and and PP and and CuCu contents contents

Dependence of flux effect on Dependence of flux effect on CuCu content content seems to beseems to be

RR РР--valuevalue

dd(4(410101919ccмм-2-2)) и и ССРР 0.280.28 0.30 0.30 0.05 0.05

dd(4(410101919ccмм-2-2)) и и ССCuCu 0.750.75 0.04 0.04 0.05 0.05

Page 29: FAST NEUTRON FLUX EFFECT ON VVER RPV’s LIFETIME ASSESSMENT

Flux effect dependence on Cu content.lux effect dependence on Cu content.

Preliminary estimation:Preliminary estimation:effect is significant if effect is significant if

Cu content more than ~0.13 %Cu content more than ~0.13 %

0.07 0.08 0.09 0.10 0.11 0.12 0.13 0.14 0.15 0.16 0.17 0.18 0.19-50

-40

-30

-20

-10

0

10

20

30

40

50

60

70

80

F=4x1019

, cm-2 (E>0.5Mev)

d=

TK(l

ow

flu

x)-

TK(h

igh

flu

x),o C

Cu, %

Page 30: FAST NEUTRON FLUX EFFECT ON VVER RPV’s LIFETIME ASSESSMENT

The results of mechanical tests of the VVER-The results of mechanical tests of the VVER-440 pressure vessel steels show that copper 440 pressure vessel steels show that copper influence on influence on ТТКК shift is insignificant for re- shift is insignificant for re-irradiationirradiation

0.12 0.14 0.16 0.18 0.20 0.22 0.240

50

100

150

200T

K, o C

Cu, %

Page 31: FAST NEUTRON FLUX EFFECT ON VVER RPV’s LIFETIME ASSESSMENT

It agrees with the data of It agrees with the data of microstructural studies of the microstructural studies of the steels in irradiated and annealed steels in irradiated and annealed conditions, and after re-conditions, and after re-irradiationirradiation

Page 32: FAST NEUTRON FLUX EFFECT ON VVER RPV’s LIFETIME ASSESSMENT

The microstructural studies of VVER-440 The microstructural studies of VVER-440 materials carried out by materials carried out by

P. Pareige,P. Pareige, O. ZabusovO. Zabusov and others,and others,

B. Gurovich, B. Gurovich, ЕЕ. . ККuleshovauleshova and others and others

show the followingshow the following::

• At primary irradiation of the RPV steelsAt primary irradiation of the RPV steels the the copper-enriched clusters occur. They are of 2-3 copper-enriched clusters occur. They are of 2-3 nm in diameter with high distribution density nm in diameter with high distribution density and are effective barriers for dislocation and are effective barriers for dislocation movementmovement..

• There is depletion of solid solution by copper There is depletion of solid solution by copper atoms.atoms.

Page 33: FAST NEUTRON FLUX EFFECT ON VVER RPV’s LIFETIME ASSESSMENT

Cu distribution in VVER-440irradiated weld

P.Pareige, O.Zabusov, M.Miller etc.

CC

Page 34: FAST NEUTRON FLUX EFFECT ON VVER RPV’s LIFETIME ASSESSMENT

• Copper content does not change in solid Copper content does not change in solid solution during annealing, there is coagulation solution during annealing, there is coagulation of copper-enriched clusters and formation of of copper-enriched clusters and formation of copper precipitates of diameter ~ 5 nm with copper precipitates of diameter ~ 5 nm with much smaller distribution density.much smaller distribution density.

• Large copper precipitates formed during Large copper precipitates formed during annealing are of low density annealing are of low density

• They are not effective barriers for dislocation They are not effective barriers for dislocation movementmovement

• There is no more intensive formation of copper There is no more intensive formation of copper clusters at re-irradiation.clusters at re-irradiation.

Page 35: FAST NEUTRON FLUX EFFECT ON VVER RPV’s LIFETIME ASSESSMENT

Cu in irradiated, annealed and re-irradiated VVER-440 weld

Page 36: FAST NEUTRON FLUX EFFECT ON VVER RPV’s LIFETIME ASSESSMENT

Copper precipitate in irradiated, annealed Copper precipitate in irradiated, annealed and re-irradiated VVER-440 weldand re-irradiated VVER-440 weld

Page 37: FAST NEUTRON FLUX EFFECT ON VVER RPV’s LIFETIME ASSESSMENT

The dependence of transition temperature The dependence of transition temperature

shift for VVER-440 pressure vessel materials shift for VVER-440 pressure vessel materials

on neutron flux is not expected under re-on neutron flux is not expected under re-

irradiation.irradiation.

Page 38: FAST NEUTRON FLUX EFFECT ON VVER RPV’s LIFETIME ASSESSMENT

Results of templets material studyResults of templets material study

Page 39: FAST NEUTRON FLUX EFFECT ON VVER RPV’s LIFETIME ASSESSMENT

CONCLUSIONS (1/2)CONCLUSIONS (1/2)

1.1. The work concerning establishment of fast The work concerning establishment of fast neutron flux influence on radiation embrittlement neutron flux influence on radiation embrittlement for VVER-440 pressure vessel materials has been for VVER-440 pressure vessel materials has been carried out using standard VVER-440 RPV carried out using standard VVER-440 RPV materials irradiated in the surveillance channels at materials irradiated in the surveillance channels at high of ~3high of ~310101212ссmm-2-2ss-1-1 and at low ~4 and at low ~410101111ссmm-2-2ss-1-1 fast neutron fluxes.fast neutron fluxes.

2.2. Flux effect occurs in VVER-440 pressure vessel Flux effect occurs in VVER-440 pressure vessel materials with the level of copper content higher materials with the level of copper content higher than ~ 0.13 %.than ~ 0.13 %.

Page 40: FAST NEUTRON FLUX EFFECT ON VVER RPV’s LIFETIME ASSESSMENT

CONCLUSIONS (2/2)CONCLUSIONS (2/2)

3. Radiation damage under re-irradiation does not 3. Radiation damage under re-irradiation does not depend on copper significantly.depend on copper significantly.

4.4. It is confirmed by the data of microstructure It is confirmed by the data of microstructure studies.studies.

5. There is no dependence of transition temperature 5. There is no dependence of transition temperature shift for the VVER-440 pressure vessel materials on shift for the VVER-440 pressure vessel materials on neutron flux under re-irradiation after annealing.neutron flux under re-irradiation after annealing.

Page 41: FAST NEUTRON FLUX EFFECT ON VVER RPV’s LIFETIME ASSESSMENT

The studies made within the last

10 years enables NPPs extend the

life time of annealed units for 15

years with licensing for each 5

years

Page 42: FAST NEUTRON FLUX EFFECT ON VVER RPV’s LIFETIME ASSESSMENT

Line of the further worksLine of the further works • The quantitative assessment of flux effect for The quantitative assessment of flux effect for

different values of fluence is necessary for the different values of fluence is necessary for the solution of practical problems of VVER-440/213 solution of practical problems of VVER-440/213 lifetime assessment. lifetime assessment.

• It requires development of models for radiation It requires development of models for radiation embrittlement under irradiation at high and at low embrittlement under irradiation at high and at low fluxes in wide range of fluence , based on modern fluxes in wide range of fluence , based on modern understanding of mechanisms of microstructural understanding of mechanisms of microstructural changes under irradiation.changes under irradiation.

Page 43: FAST NEUTRON FLUX EFFECT ON VVER RPV’s LIFETIME ASSESSMENT

Representative data on Kola NPP Unit 3 and 4 RPV steels radiation embrittlement

Neutron flux corresponds to RPV wall

Application of the reconstitution techniqueprovides representativenesof test results

Page 44: FAST NEUTRON FLUX EFFECT ON VVER RPV’s LIFETIME ASSESSMENT

RPVs VVER-1000

Low P and Cu contents

High Ni content in weld metal (Up to 1.9 %)

EOF depends on the primary Radiation Embrittlement

Elaborating RE depends are based on SS and research results

Page 45: FAST NEUTRON FLUX EFFECT ON VVER RPV’s LIFETIME ASSESSMENT

SS assembly

VVER-1000Research assembly

Page 46: FAST NEUTRON FLUX EFFECT ON VVER RPV’s LIFETIME ASSESSMENT

Melting monitors from VVER-1000 irradiation programs Surveillance program

Research program

314°C 308°C 302 °C 292 °C 288°C

304°C 300°C 293°C

Page 47: FAST NEUTRON FLUX EFFECT ON VVER RPV’s LIFETIME ASSESSMENT

The capsules with surveillance specimens are located above the core

baffle in a place with high neutron flux gradient

Page 48: FAST NEUTRON FLUX EFFECT ON VVER RPV’s LIFETIME ASSESSMENT

It is very important to use results with high accuracy fluence data

Page 49: FAST NEUTRON FLUX EFFECT ON VVER RPV’s LIFETIME ASSESSMENT

New radiation embrittlement dependence of VVER-1000 RPV steels based on SS and research results

The standard reference dependence specified in the Russian Guide for weld seams:

TF = 20 F1/3

TF = 28 + 8,4Ni1,5F1/3


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