Doc. n. CR-COR-ENG_PRC-105-E CORPORATE CRITERIA Rev. 01
Date 15/11/13
HYDRAULIC TRANSIENTS FOR LIQUIDS Pag. 1 di 39
CORPORATE CRITERIA
HYDRAULIC TRANSIENTS FOR LIQUIDS
CR-COR-ENG_PRC-105-E
28/10/13
01
Fi!t "!!#e
$. %#onocoe &'(
G. Poni PRO)EC
&. Ci*e++i ENG
Date
Revisio
Des!"i#tio o$ Revisio
P"e#a"e%
C&e!'e%
A##"ove%
),i! doc#ent i! t,e *o*et o (ai*e (*&. &++ ig,t! e!eved.
Doc. n. CR-COR-ENG_PRC-105-E CORPORATE CRITERIA Rev. 01
Date 15/11/13
HYDRAULIC TRANSIENTS FOR LIQUIDS Pag. 2 di 39
Revisio S())a"*
28/10/13
01
Fi!t "!!#e
$. %#onocoe &'(
G. Poni PRO)EC
&. Ci*e++i ENG
Date
Revisio
Des!"i#tio o$ Revisio
P"e#a"e%
C&e!'e%
A##"ove%
Doc. n. CR-COR-ENG_PRC-105-E CORPORATE CRITERIA Rev. 01
Date 15/11/13
HYDRAULIC TRANSIENTS FOR LIQUIDS Pag. 2 di 39
Revisio S())a"*
28/10/13
01
Fi!t "!!#e
$. %#onocoe &'(
G. Poni PRO)EC
&. Ci*e++i ENG
Date
Revisio
Des!"i#tio o$ Revisio
P"e#a"e%
C&e!'e%
A##"ove%
Doc. n. CR-COR-ENG_PRC-105-E CORPORATE CRITERIA Rev. 01
Date 15/11/13
HYDRAULIC TRANSIENTS FOR LIQUIDS Pag. 3 di 39
INDE+ 1
SCOPE AND PURPOSE
,
REFERENCE DO DOCUENTS
,.1 ,., / /.1 /., /./ .1 .1.1 .1., .1., .1. .1./ / .1. ., .,. .,.1 1 .,., .,. .,./ / .,. .,.5 .,. .,.9 9 ./ ./.1 ./.1 ./., ././ ././ ./. ./. ./.5 ./.9 . ..1 .., .., .. ../ / .5 .5.1 .5., .5. .5./ / .9 .9.1 .9.1 .9., 5 5.1
INTERNAT NATIONAL ST STANDA NDARDS REFERENCES DEFINITIONS TERS ACRONYS S YOLS ACTI2ITIES DES DESCRIPTION AC3GROUND AND FIELD OF APPLICATION a!'4"o(% ai O(t!o) !o)e a a% o6 o6e! e!ttive ives Cos Coso7 o7i% i%at ate% e% $ie7 $ie7%s %s o$ a##7i ##7i!a !ati tio o Aa7*ti! a##"oa!& H YDRAULIC FACETS AND SIPLIFIED ETHOD Pe"i Pe"io% o% o$ Reso Resoa a! !e e a% a% 8av 8aves#e es#ee% e% (7' o%(7(s S("4 S("4e e #" #"ess( ess("e "e %(e %(e to to 2a 2a7ve 7ve !7o !7os( s("e "e 2a7ve C7os("e ti)e A!!e#ta!e C"ite"ia S("4 S("4e e #"es #"ess( s("e "e a% a% !av !avitat itatio io GUIDELINE IN UILDING AN AD2ANCED SIULATION Gee ee"a7 Ca Ca7!( 7!(7atio atio as ases Si)(7atio Ti)e Ste# F7(i% 7(i% #"o #"o#e" #e"ties ies %e %e$iit iitio io Pi#i i#i4 4 )e!& )e!&a ai!a i!a7 #"o #"o#e"t e"ties ies P()#s #"o#e"ties 2a7ves PRESSURE OUTPUT AND ITIGATIONS STRATEGIES Gee"a7 Res( Res(7t 7ts s :it :it& o !avit avita atio io Res( Res(7t 7ts s :it& :it& !avi !aviti ties es 4e 4ee" e"at atio io a% a% !o7 !o77a 7a#s #se e FORCES CALCULATIONS Fo"e:o"% Ua7a!e% $o"!es S("4 S("4e e Loa% Loa%s; s; Si)# Si)#7i 7i$i $ie% e% )et& )et&o% o% SURGE LOADS FRO SOFT8ARE SIULATIONS Res( Res(7t 7ts s :it :it& o !avit avita atio io Res(7ts :i :it& !a !avitatio APPENDI+ EQUATIONS FOR TRANSIENT SIULATIONS
Doc. n. CR-COR-ENG_PRC-105-E CORPORATE CRITERIA Rev. 01
Date 15/11/13
HYDRAULIC TRANSIENTS FOR LIQUIDS Pag. di 39
1
SCOPE AND PURPOSE
),e *#*o!e o t,i! Co*oate Citeia i! to deine t,e g#ide+ine! o t,e ,da#+ic tan!ient ana+!e! o +i#id !!te! (#ge &na+!i!. 4da#+ic tan!ient ana+!e! can e cond#cted ean o *e+iina ca+c#+ation! o #!ing advanced !i#+ation !ot6ae7 accoding to t,e co*+eit7 t,e citica+it o t,e !!te! and t,e e#ied detai+ +eve+. ),i! Co*oate Citeia ai! to *ovide t,e a!ic *inci*+e! and t,eoetica+ e+eent! to ena+e t,e de!igne to "denti t,e ie+d o a**+ication o !#ge ana+!e! 'nde!tand t,e *,!ica+ *o+e! e+ated to t,e ,da#+ic tan!ient! Cond#ct a !i*+iied !#ge ana+!i! Find t,e g#ide+ine! to cond#ct a detai+ed !#ge ana+!i! #!ing a !i#+ation !ot6ae &!!e!! t,e n#eica+ e!#+t! e+iai+it7 in *atic#+a o advanced !ot6ae !i#+ation. ),i! Co*oate Citeia a**+ie! to t,e engineeing and con!t#ction *o:ect! o intee!t o t,e (ai*e Go#*.
,
,.1
REFERENCE DOCUENTS
INTERNATIONAL STANDARDS
;1< Poce!! Pi*ing = &(>E %31.3 =2012
Poce!! Pi*ing
;2< EN 1380-3 2012
>eta++ic ind#!tia+ *i*ing - Pat 3 De!ign and ca+c#+ation
,.,
REFERENCES
Cane Do#g+a!7 Ga!ioe?7 (6aie+d
F+o6 o +#id! t,o#g, va+ve!7 itting! and *i*e F+#id >ec,anic!
Doc. n. CR-COR-ENG_PRC-105-E CORPORATE CRITERIA Rev. 01
Date 15/11/13
HYDRAULIC TRANSIENTS FOR LIQUIDS Pag. 5 di 39
/ /.1
DEFINITIONS TERS
(#ge &na+!i!
&na+!i! dedicated to eva+#ate eect! o 4da#+ic )an!ient! o +i#id !!te!
4da#+ic )an!ient
@,eneve 4da#+ic !tead !tate +o6 i! *et#ed d#e to an o*eationa+ vaiation o an #*!et
Cv
% deinition i! t,e vo+#e +o6 in '( ga++on! *e in#te o 6ate at a te*eat#e o A0B Fa,en,eit 6it, a *e!!#e do* aco!! t,e va+ve o 1 *!i. "t de!cie! t,e e+ation!,i* et6een t,e *e!!#e do* aco!! t,e va+ve7 and t,e coe!*onding +o6 ate. (ae a! C$7 #t in ("7 i! deined a! t,e vo+#e +o6 in 3/, o 6ate at a te*eat#e o et6een 5B and 0B Ce+!i#!7 6it, a *e!!#e do* aco!! t,e va+ve o 1 a. @ate ,ae o7 oe genea++7 +#id ,ae i! a *e!!#e !#ge o 6ave ca#!ed 6,en a +#id #!#a++ a +i#id #t !oetie! a+!o a ga! in otion i! oced to !to* !#dden+ oent# c,ange.
v
@ate ,ae
/.,
ACRONYS
DF
Dnaic oad Facto
E(D
Eegenc (,#t Do6n
EPC
Engineeing Poc#eent and Con!t#ction
GRE
G+a!! Reinoced E*o
GRP
G+a!! Reinoced P+a!tic
NG
i#eied Nat#a+ Ga!
PG
i#eied Peto+e# Ga!
'N%
'na+anced Foce
P(
>ai# &++o6a+e Pe!!#e accoding to Re. ;2<
(G
(*eciic Gavit
("
"ntenationa+ (!te o 'nit!
/./
S YOLS
S*)o7
De$iitio
Uit o$ )eas("e
&
Pi*e intena+ &ea
2
c
!*eed o !o#nd o e+a!tic 6ave!*eed in a +#id
/!
C
P#* )o#e
N
d
Pi*e intena+ diaete
>
E
>od#+#! o e+a!ticit o t,e *i*e o#ng
GPa
f
Fe#enc o t,e 3-*,a!e *o6e !#**+
4
Doc. n. CR-COR-ENG_PRC-105-E CORPORATE CRITERIA Rev. 01
Date 15/11/13
HYDRAULIC TRANSIENTS FOR LIQUIDS Pag. A di 39
S*)o7
De$iitio
Uit o$ )eas("e
F
Foce
N
g
Gavit acce+eation
/!2
4
P#* 4ead
>
H
P#* "netia
g2
?
F+#id co*e!!ii+it7 o %#+? >od#+#!
GPa
l C&C
+engt, o a *i*e *otion
>
Pi*e engt,
>
N
>oto (nc,ono#! (*eed
evo+#tion *e in#te
n
P#* (*eed
evo+#tion *e in#te
p
n#e o *o+e *ai! o t,e 3-*,a!e oto
-
*c
Ca+c#+ation Pe!!#e accoding to ;2<
%aa
P
Pe!!#e
%ag
P(4')OFF
P#* (,#t o Pe!!#e
%ag
I
$o+#etic +o6
3/,
R &vg
aveage ate o c+o!#e
-
R>a
ai# ate o va+ve aea c+o!#e
-
t
Pi*e 6a++ t,ic?ne!!
)C
$a+ve c+o!#e tie
!
)C
Eective va+ve c+o!#e tie
!
t C&C
)ie it ta?e! t,e 6ave to tave+ a+ong a *i*e *otion
!
&veage +#id ve+ocit at !tead !tate
/!
V Cav
Cavit $o+#e
3
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P#* 4da#+ic Po6e
@
@
P#* >ec,anica+ Po6e
@
S*)o7
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χ
&*+iication Facto
-
∆F
(#ge oad 'na+anced Foce
N
∆P
Pe!!#e Do*
a
∆t)i*
)ie a!!ociated to a *#* ti*
!
η
Eicienc
-
ρ
+#id den!it
g/3
τ
Pi*e nat#a+ e!onance *eiod
!
$0
G"ee' 7ette"s
Doc. n. CR-COR-ENG_PRC-105-E CORPORATE CRITERIA Rev. 01
Date 15/11/13
HYDRAULIC TRANSIENTS FOR LIQUIDS Pag. J di 39
ACTI2ITIES DESCRIPTION
.1
AC3GROUND AND FIELD
.1.1
OF APPLICATION
a!'4"o(%
'ndeta?ing (#ge ana+!i! o t,e di!tinctive !!te! *e!ented in t,i! !ection7 i! oten a contact#a+ e#ieent 6it,in t,e EPC contact!. Nevet,e+e!!7 #t,e t,an an contact#a+ e#ieent7 t,ee ae a n#e o !t#d ca!e! in 6,ic, !#ge ana+!i! i! not on+7 and not an +onge7 inte*eted a! a c,ec? / veiication ta!?7 #t eodie! a ea+ *o!itive conti#te in t,e #+tidi!ci*+ina de!ign7 !ince t,e Font End engineeing. (#ge ana+!i! o#tcoe deinite+ a in+#ence t,e *oce!! engineeing7 and a i*act on t,e *i*ing !#**ot! and civi+ !t#ct#e! de!ign a! 6e++. Fo t,i! ea!on7 t,i! activit ,a! eac,ed ,ig,e citica+it degee t,o#g, t,e ea!7 and i! no6 con!ideed a+o!t a! a !tandad *actice in t,e engineeing 6o?+o6. & dee* ?no6+edge in t,i! ie+d ,a! !*ead a+!o aong C#!toe!7 and it i! no6 a ?e ta!? to #i+d a !*eciic ?no6 ,o67 o#nded on !,aed and c+ea *inci*+e!7 a++o6ing to ceate and oe a !tandad Co*oate engineeing !evice o t,i! di!ci*+ine.
.1.,
ai O(t!o)e a% o6e!tives
Genea++7 !#ge ana+!e! ae *eoed to a!!e!! t,e eect! o !#dden c,ange! in ,da#+ic !tead !tate7 +eading to *otentia+ ove*e!!#e o 6ate ,ae con!e#ent to cavit co++a*!e. "n *atic#+a7 !i#+ation! ae t*ica++ #t not ec+#!ive+ cond#cted to deteine -
-
(#ge *e!!#e ai!ing in t,e contet o !aet !,#t do6n !cenaio!7 6,o!e !i*+icit o co*+eit a e#ie o not t,e #!e o advanced !i#+ation !ot6ae Pe!!#e tend! con!e#ent to #ic? de*e!!#iation !cenaio d#e to genea+ *o6e ai+#e
-
Pe!!#e tend! con!e#ent to o*eative !cenaio t,at a invo+ve a tan!ient !#c, a! o*eating *#* !6itc, ove7 o !tat #* *oced#e7 6,o!e eect! ae deeed 6ot, inve!tigating7 d#e to con!idea+e diaete! o *#* !ie invo+ved.
-
(#ge oce! acting on *i*e #n! in*#t o *i*ing +eii+it ana+!i! and !te!! ana+!i!
),e *#*o!e o t,e !#ge ana+!i! !t#d i! t,eeoe aied to ind itigation! and tec,nica+ !o+#tion! 6,eneve t,e o#tcoe i! not acce*ta+e in te! o !#ge *e!!#e7 o !#ge oce!7 o vac## geneation in t,e !!te.
.1./
Coso7i%ate% $ie7%s o$ a##7i!atio
Re+ecting t,e aove7 (#ge &na+!e! ae t*ica++ cond#cted o 1. O-!ite *od#ct tan!e !!te a. e*ot !!te! o eined o cogenic *od#ct! to +oading teina+! Hett et,! o o!,oe teina+K . i*ot !!te! o eined o cogenic *od#ct! o o-!ite teina+! Hett et,! o o!,oe teina+K 2.
)an!e *i*e+ine! o +i#id! eined *od#ct! o 6ate
3.
@ide di!ti#tion net6o?! coo+ing 6ate !!te! once t,o#g, o coo+ing to6e cic#it!
Doc. n. CR-COR-ENG_PRC-105-E CORPORATE CRITERIA Rev. 01
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HYDRAULIC TRANSIENTS FOR LIQUIDS Pag. 8 di 39
.1.
Aa7*ti! a##"oa!&
&n tie +i#id +o6! into *i*e!7 it i! nece!!a to !ee i !#ge ana+!i! i! to e *eoed. ),e ain *aaete! to e con!ideed ae -
Pi*ing +engt, Diaete Device! t,at co#+d geneate !#ge *#*!7 a#toatic va+ve!7 etc..
"n a!ence o !*eciic contact#a+ e#ieent!7 one ana+tica+ a**oac, to deteine 6,et,e a !#ge ana+!i! !t#d !,o#+d e #ndeta?en o not7 can e a!ed on t,e atio o t6o *aaete! -
t,e *i*eL! *eiod o e!onance τ !ee deinition in M .2.17 and
-
t,e tie )C !ee M .2.3 a!!ociated to t,e event e!*on!i+e o t,e tan!ient t*ica++ t,e va+ve c+o!#e tie.
)C / τ < 1
)C / τ > 1
I#ic? C+o!#e
advanced !i#+ation e#ied 1 )C / τ < 5
!i*+iied et,od
)C / τ > 57
Not citica+
(+o6 C+o!#e
Fo atio ) C / τ ,ig,e t,an 57 t,e !!te can e con!ideed not citica+7 and !#ge ana+!i! can e oitted. ),e atio ) C / τ anging o 1 to 5 e*e!ent! a++ t,o!e ca!e! o 6,ic, t,e +ine eten!ion can e citica+ co*aed to t,e ,*ot,etica+ va+ve c+o!#e tie o7 in ot,e 6od!7 a++ t,e ca!e! o 6,ic, t,e c+o!#e tie i! !ti++ #ic?7 co*aed to t,e +ine eten!ion7 and a geneate a**ecia+e !#ge *e!!#e7 6,o!e agnit#de a e 6ot, a!!e!!ing oe in detai+. Fo t,e!e ca!e!7 a *e+iina !#ge ana+!i! a!ed on t,e o#+a! given in M .27 can e #!e#+ to a!!e!! 6,et,e ai# e*ected *e!!#e accoding to E#ation 87 i! e+o6 t,e adi!!i+e7 o i an advanced !i#+ation! i! e#ied to ind an itigation.
Doc. n. CR-COR-ENG_PRC-105-E CORPORATE CRITERIA Rev. 01
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HYDRAULIC TRANSIENTS FOR LIQUIDS Pag. 9 di 39
.,
H YDRAULIC FACETS
AND SIPLIFIED ETHOD
(oe a!ic e+eent! e+evant to t,e t,eo o 6ate ,ae ae !#aied in t,i! !ection7 in ode to ac,ieve t,e a!i! to eva+#ate a++ t,e *,!ica+ to*ic!7 and t,e *otentia+ citica+it o t,e ana+ed !!te!. ),e inoation given in t,i! !ection !,o#+d ena+e t,e de!igne to *oceed in a *e+iina !#ge ana+!i! ca+c#+ation o !i*+e !!te!.
.,.1
Pe"io% o$ Resoa!e a% 8aves#ee%
),e Peiod o Re!onance o t,e a!ic !!te e*e!ented in Fig. 1 i! deined a! τ 2 / c ;!ec<
E<(atio 1
@,ee -
;< i! t,e *i*e eten!ion o t,e !o#ce o t,e *et#ation #* to t,e e+ection *oint t,e c,ec? va+ve at *#* di!c,age
-
c ;/!< i! t,e !*eed o !o#nd t,o#g, t,e *i*e 6it, t,e con!ideed +i#id o e+a!tic 6ave!*eed. &n *et#ation geneating in t,e !!te7 6i++ t,en *o*agate a+ong t,e *i*e at !*eed c.
Fo an #nconined +i#id7 @ave!*eed can e eva+#ated a! o++o6!
E<(atio ,
c' =
k ⋅ 10 9 ;/!ec< ρ
@,ee -
k ;GPa< i! t,e F+#id co*e!!ii+it7 o %#+? >od#+#! !ee M .2.2
-
ρ ;?g/3< i! t,e F+#id den!it
"n a *i*e o a given geoet7 @ave!*eed ecoe!
E<(atio /
c= 1+
c' k ⋅ d
=
E ⋅ t
k ⋅109 / ρ k ⋅ d 1+ E ⋅ t
;/!ec<
@,ee -
E ;GPa< i! t,e Pi*e o#ng >od#+#!
-
d ;< i! t,e Pi*e intena+ diaete
-
t ;< i! t,e Pi*e 6a++ t,ic?ne!!
),e atio
K ⋅ d E ⋅ t #antiie! t,e conti#te e+ated to *i*e adia+ deoai+it !#eeing eect. ),e !tie t,e *i*e 6a++! ae7 t,e #ic?e t,e 6ave tave+! c incea!e! 6,en E and / o t incea!e. F#t,eoe7 c decea!e! 6,en *i*e diaete incea!e!.