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DETERMINATION OF SAFE OPERATIONAL
PRESSURE-TEMPERATURE LIMITS FOR REACTORPRESSURE VESSEL OF A TYPICAL PWR
By:
Ankur KatiyarMechanical Engineering
Under the Guidance
of
Shri R.N. Sen(SO!"# $ Shri %i&ek Shri&a'ta&(SO#
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OU)*+NE
+N)RO,U-)+ON
OBE-)+%ES
ME)!O,O*OG/
RESU*)S
-ON-*US+ON
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+N)RO,U-)+ON
R0% 'u12ect to non ductile fracture due to irradiation e31rittle3ent.
*EM de'ign criteria4 K+ 5 K+cOS.
ASME +++4 A66 G 7 Protection Against Non Ductile Fracture
de3on'trate 'tructural integrity.
Additionally4 USNR- 89 -R 0art 94 A66 G; Fracture ToughnessRequirements0;) *i3it' deter3ination.
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OBE-)+%ES
)he '6ecific o12ecti&e' of the 6re'ent 6ro2ect include:
)o 6erfor3 'tructural integrity analy'i' for 'ta1ility of 6o'tulated crack in
R0% -ore;Belt region under 6lanned heat u6 $ cool do
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*OA, -ASES ANA*/SE,
Design Condition :
,e'ign 0re''ure: 8=.8 M6a O6erating 6re'' : 8>.? M0a
,e'ign )e36erature: @9- O6erating te36 : ?> -
Planned eat-!" : 9-hr
Planned Cool-do#n :
Ti$e %s& Inlet Te$" %'C&
(%stead) state& *+,
,(( ,(
*(((( ,(
Ta.le /: Planned Cool-do#n T0ansient
Ti$e%s& P0ess!0e%MPa&
( %Stead)State&
/+1*
/2(( /31*
4(( /41(
,5(( /*1(
+(( //1(
*(((( //1(
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MA)ER+A* 0RO0ER)+ES
Te$"
%'C&
T6e0$al
Cond!7ti8it)
%97al601$'C&
Densit)
%9g$4&
S"e7i;i7
eat
%97al9g'C&
Yo!ng
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ME)!O,O*OG/
Pressure and Temperature LimitsCalculations
Structural Integrity Assessment
Fracture Calculations
Stress Analysis
Thermal Analysis
FE Modelling
Postulation of Crack
?K+3"K+t5 K+cK+c@>. " [email protected]@>();R)N,)#F M0a. 3
9.
AR) +nitial R)N,) " R)N,) " Margin
R)N,) -Hff
ff function of fluence
- function of 1a'e 3etal geo3etry
ReIuire3ent' of USNR- 89 -R 6art 9 a66 G
for 0;) li3it'Margin of J9 deg
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MO,E**+NG $ MES!+NG
@, 3odel of 'hell region along
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MO,E**+NGO -RA-K )+0S+NGU*AR+)/
Fig!0e 4: B!a0te0 Point Ele$ents a0o!nd
t6e C0a79 Ti"
K+
k @; for 6lain 'train4
k $ %
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BOUN,AR/ -ON,+)+ONS OR
)!ERMA* $ S)RESS ANA*/S+SFo0 T6e0$al Anal)sis: )i3e de6endent te36erature on the inner 'urface of
R0%.
-on&ecti&e heat tran'fer coefficient (h# on the outer
'urface of R0%
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RESU*)S OR S)RU-)URA*
+N)EGR+)/ ASSESSMEN) O R0%
0lanned !eat;u6 )ran'ient:
& '& (& )& *+& *,& *-& +*& +.& +/& '&&&
,&&
*&&&
*,&&
+&&&
+,&&
'&&&
',&&
.&&&
.,&&
,&&&
Ic 0s Temp for &1 of life
+IM 0s temp
Ic 0s temp for *&&1 of life
)e36 -
K(M0a.339.:#
Fig!0e ,: 8s T d!0ing "lanned
eat !" T0ansient
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0lanned -ool;do
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E%A*UA)+ON OR SAE O0ERA)+NG
0;) *+M+)S
0;) li3it' for !eat;u6 tran'ient:
& +, ,& /, *&& *+, *,& */, +&& ++, +,& +/, '&&
&
,
*&
*,
+&
+,
'&
',
.&
.,
,&
,,
(&
&1 LIFE
+,1 LIFE
,&1 LIFE
/,1 LIFE
*&&1 LIFE
!PERATI"3 P4T C5R6E
7ESI3" PRESS5RE
)e36 (deg.-#
0re''ure(M0a
#
Fig!0e 5: P-T li$its d!0ing Planned eat !" #6en
7o0e is not 70iti7al
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& +, ,& /, *&& *+, *,& */, +&& ++, +,& +/, '&&
&
,
*&
*,
+&
+,
'&
',
.&
.,
,&
&1 !F LIFE
+,1 !F LIFE
,&1 !F LIFE
/,1 !F LIFE
*&&1 !F LIFE
!PERATI"3 P4T C5R6E
7ESI3" PRESS5RE0re''ure(M0a#
)e36 (deg.-#
Fig!0e : P-T li$its d!0ing Planned eat !" #6en
7o0e is 70iti7al
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P4T limits for cool4do8n transient9
& +, ,& /, *&& *+, *,& */, +&& ++, +,& +/, '&&
&
,
*&
*,
+&
+,
'&
',
.&
.,
,&
&1 !F LIFE+,1 !F LIFE
,&1 !F LIFE
/,1 !F LIFE
*&&1 !F LIFE
!PERATI"3 P4T C5R6E
7ESI3" PRESS5RE
0re''ure(M0a#
)e36 (deg.-#
Fig!0e 2: P-T li$its d!0ing Planned 7ool do#n
#6en 7o0e is not 70iti7al
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& +, ,& /, *&& *+, *,& */, +&& ++, +,& +/, '&& '+,
&
,
*&
*,
+&
+,
'&
',
.&
.,
,&
,,
(&
&1 LIFE
+,1 !F LIFE
,&1 !F LIFE
/,1 !F LIFE
*&&1 !F LIFE
!PERATI"3 P4T C5R6E
7ESI3" PRESS5RE
)e36 (deg.-#
0re''ure(M0a#
Fig!0e /(: P-T li$its d!0ing Planned 7ool do#n
#6en 7o0e is 70iti7al
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-ON-*US+ON
Structural integrity of the R0% i' 3aintained under 6lanned heat u6
tran'ient.
Under 6lanned cool do
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)!ANK /OU
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Back u6 Slide'
6 Cal7!lation:
)he 6ro1le3 o&er here i' taken a' la3inar4 therefore h
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Calculation of Shift in RT"7T 8ith
respect to Fluence ART Initial RTNDT RTNDT Ma0gin
Lhere4 +nitial R)N,) i' taken a' 99-.
- che3i'try factor
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%alidation 0ro1le3'
P0o.le$ De;inition:
A thick
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Stead) State T6e0$al St0ess Anal)sis
Problem Defnition:
A hollo< thick
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? ?.@TC @.J@H89;@(higher#
Lo7ationand.oo9Sol!tion
St0ess %in MPa&
FEA Sol!tionSt0ess %in MPa& E00o0 %H&
Inne0 S!0;a7e =C.J
(co36re''i&e#
T@.?@
(co36re''i&e#
>.JT (higher#
O!te0 S!0;a7e =8.8 (ten'ile# CC.? (ten'ile# J.JC (lo
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T0ansient T6e0$al Anal)sis
P0o.le$ De;inition:
A hollo< cylinder of inner radiu' 1 and outer radiu' c ha' the te36erature of the outer 'urface rai'ed at the
unifor3 rate of -S. After a 'teady rate of te36erature ri'e ha' 1een reached throughout4 the 3aDi3u3
tangential 'tre''e' .H89;JN33.K on the inner
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%alidation of racture -alculation'
Co$"a7t Tension S"e7i$en
)he 'tandard for3ula of K8 for a co36act ten'ion '6eci3en i' taken fro3 AS)M E8=?9:
Lhere4
0 A66lied load
B )hickne'' of the '6eci3en
L Lidth of the '6eci3en
Lo7ation
and.oo9
Sol!tion
A""lied i%in
MPa1$%&1,&
FEA Sol!tion
A""lied /%in
M"a1$&
E00o0
%H&
C0a79 Ti" [email protected]@ 8J.?8 @.JT
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inite *ength ADial 0art;through Lall la