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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