Tratto dalla Rivista IoRoma o dal suo allegato Quaderno che è consultabile al sito: http://rivista.ording.roma.it
a cura di commissione visto da
REATTORE NUCLEARE DI IV GENERAZIONE REFRIGERATO CON PIOMBO BREST 300: LA SIMULAZIONE NEUTRONICA TRAMITE IL SOFTWARE MCNPX, I FLUSSI NEUTRONICI E LA RISPOSTA DI UNA TIPICA SONDA PER REATTORI VELOCI.
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[ 0. /(- Y0. /( [ ) )1 0+/ )( + ++) ) ')'+1 ) )%.0 *),) ,"1 %1DD0(/ / ) 1(+0.1 0''1 %) )/ D/ $ '/ / 0(+1(1.*1 )( 1Z )*)D.)/ Y)(+1./ ) )0(+/ [ +/+0* 1(+1 .0,,") '/ %0 ( .) / 1''1* )( 0,,)0)/ 1 Z 1'+/& %/ / (/ ' 1''/.1 %) 0.)0& [ .0,,") '/ 0 ' 0 /*+0 %0 ( 0*+./ 1''1* 1'+1.(/ )( 0,,)0)/ 0* %) *3 %1* Z 0*1 [ .1'1(+1 *Y *+) 0 D0..)1.0 )( ,0*,1'+. /L 1'+0 ',1*+0 ./ 1++ 0*1 '1 1 1 '/%%)'$0 0 )1(/ )* ,.)+1.)/ %1**0 %)$1'0 )( ./$/(%)+3 0 +0D1**0 .) /.+0 *1 .)(,) 0*) ,0.0++1.)'+),"1-
Tabella 1 â&#x20AC;&#x201C; Principali caratteristiche dellâ&#x20AC;&#x2122;impianto nucleare BREST 300 [1] Potenza termica 700 MW Potenza elettrica netta 300 MW Temperatura del refrigerante allâ&#x20AC;&#x2122;ingresso del core 693 K Temperatura del refrigerante allâ&#x20AC;&#x2122;uscita del core 813 K Pressione del refrigerante 17 bar Flusso del refrigerante attraverso il core 3.8 Caduta di pressione allâ&#x20AC;&#x2122;interno del circuito primario 2 bar Numero di generatori di vapore (GV) 8 Numero di pompe primarie (assiali) 4 Potenza del singolo generatore di vapore 87.5 MW CapacitĂ di ciascun GV 185.7 t/h Fluido del circuito secondario Water - steam TIN/TOUT per i GV 613 K / 793 K PIN/POUT per i GV 255 bar / 245 bar Temperatura dellâ&#x20AC;&#x2122;acqua allâ&#x20AC;&#x2122;ingresso del GV 538 K
0 $) .0 /'+.0 (0 '1 )/(1 ,/( )'+0 +/+0*1 %1**Y) )0(+/-
Strutture implementate nel codice di trasporto della radiazione MCNPX 1. /++1(1.1 ) $* '') (1 +./(),) [ '+0+/ (1,1''0! .)/ ) *1 1(+0.1 *1 '+. ++ .1 .) /.+0+1 (1**0 0.+1 )($1.)/.1 %) $) .0 - Y)(+1./ .10++/.1 ,/( ) ' /) 1*1 1(+) %) ,/ D '+)D)*1 <fuel assemblies& ;& *) 1*1 1(+) %) ,/(+./**/& ) D*/,,") %) .)$*1++/.1 1 *1 '+. ++ .1 )
1%)0+0 1(+1 ' ''1 1(+) )* D0..1*& $)(/ 0* .) / 1''1* %) ,/(+1() 1(+/- * ')'+1 0 %0 ) *1 1(+0.1 [ /'+.0+/ )( $) .0 1 B * (/,,)/*/& ,/( (0 * ( "1 0 0++) 0 %) FF
& [ %) )'/ )( +.1 /(1& (0 %)$$1.1(+1 %0**Y0*! +.0 (/( 1. *0 ,/ /') )/(1 )'/+/ ),0 %1* ,/ ! D '+)D)*1& ,"1 [ *0 1%1') 0 )( / () /(0 %1* .10++/.1& D1('J 1. )* %)0 1+./ %1**1 0)(1- '! '/ [ 0.) 0 A-
1. *0 /(0 ,1(+.0*1& A-?
1. *0 /(0 )(+1. 1%)0 1 F-B
1. *0 /(0 )V 1'+1.(0& ,/ 1 /'+.0+/ )( $) .0 E> () & $) .0 ?& "0 ( .1+),/*/ %) W &
) .0
Sezione con vista completa dellâ&#x20AC;&#x2122;impianto nucleare BREST 300 [1]
'1++1 /') )/() '/(/ /,, 0+1 %0 + D) )%0 1 0'+1 %) ' /.+/- * .1+),/*/ "0 %) 1(')/() B9-?
W B9-?
&
'1 0.0 (0 %0 Z 1**0 0%)0,1(+1- 0 /(0 <)( ./''/; [ ,/ /'+0 %0 E: & *0 /(0 %0 : 1 *0 /(0 %0 E?- * ( 1./ +/+0*1 %) [ 9E 0 ,/ /') )/(1 )'/+/ ),0 %1* ,/ D '+)D)*1 $.1',/& ,)/[ 0**/ '+0.+! %1* .10++/.1& [ .) /.+0! +0 )( +0D1**0 :- ''0 [ '+0+0 0'' (+0 0 0.+).1 %0 Z 0(+/ .) /.+0+/ (1**0 D)D*)/ .0$)0 0**0 * ,1 %1* ./ 1++/ .) /.+0+/ )( * .0 /.+/ +.0 *) )'/+/ ) %) * +/()/ [ 0.) 0
Tabella 7 Composizione isotopica del combustibile fresco
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) .0 S Sezione verticale della parte inferiore dellâ&#x20AC;&#x2122;impianto [1] ) .0 B Sezioni orizzontali dellâ&#x20AC;&#x2122;impianto, come in figura 2 [1]
) .0 E S Barrette di combustibile per le regioni 1,2 e 3 del nocciolo
) .0 ? Sezione di un elemento di combustibile (FA), misure in mm.
1. Z 0(+/ ,/(,1.(1 )* ')'+1 0 %) ,/(+./**/& 1'! '/ [ ,/ /'+/ %0 BF 1*1 1(+) .0 . 0+) )( Z 0++./ %)$$1.1(+) . ) & & # 1% 6 1 %) Z 1'+) < # 1 ; '/(/ ./ 1++0+) 1. 0 ).1 % .0(+1 1 1(+ 0*) ',1(0.) )(,)%1(+0*)- * ')! '+1 0 [ ./ 1++0+/ 1. .)' /(%1.1 0**1 )(! '1. )/() /')+) 1 %) .10++) )+3 0**Y0 )0 1(+/ %1*
.10++/.1- ''1 '/(/ %/ +1 0* : '/++/ )..0 ! )0 1(+/ (1 +./(),/& ,/( ,/('1 1(+1 ./% ! )/(1 %) 9 =- * ')'+1 0 [ *Y (),/ 0% 1''1! .1 (/. 0* 1(+1 )('1.)+/ % .0(+1 )* (/. 0*1 $ (! )/(0 1(+/ %1**Y) )0(+/& ,/( */ ',/ / %) )('1! .).1 *Y0%1 0+0 .10++) )+3 (1 0+) 0 1. ,/(+./D)! *0(,)0.1 Z 1**0 /')+) 0 .1 )'+0 %0* ./ 1++/ 1. )* ,),*/ %1* ,/ D '+)D)*1=(Y0*+.0 )((/ 0 )/(1 ,"1 )(+./% ,1 )* # FF [ ,"1 + ++) *) 1*1 1(+) %) ,/(+./**/ '/(/ /! ') )/(0+) * ( / )* 1.) 1+./ 1'+1.(/ %1* (/,,)/! */- ./,1%1(%/ .0%)0* 1(+1 1.'/ *Y1'+1.(/& %/! / *) 1*1 1(+) %) ,/(+./**/& +./ 0(/ /'+/ ) D*/,,") %) .)$*1++/.1 ,/ /'+) %0 )/ D/ 0**/ ! )0+/ )( ',0+/*1 %) 1/ 1+.)0 ') )*1 0**1 ( ,/(,* ')/(1& )* .10++/.1 ,/ .1(%1 9E 1*1!
1(+) %) ,/ D '+)D)*1& BF 1*1 1(+) %) ,/(+./**/ 1 B D*/,,") %) .)$*1++/.1 .0%)0*1- 0 $) .0 9
/'+.0 +0*1 ,/($) .0 )/(1 ,/( )* (/,,)/*/ %) )!
) .0 9 S Schematizzazione del core, degli elementi di controllo e del riflettore radiale
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'/ )( +.1 .1 )/() ,/*/.0+1 ) $)() %1**0 ') *0 )/(1 [ '+0+/ ) *1 1(+0+/ 0(,"1 )* .)$*1++/.1 0'')0*1- (+.0 D) '/(/ '+0+) ) *1 1(+0+) ,/ 1 D*/,,") ,/ /'+) %0 (0 '/* )/(1 %) )/ D/ 1 0,,)0)/ 1. +1(1. ,/(+/ %1**1 '+. ++ .1 *) )+./$1 ++) *) 1*1 1(+) %) ,/(+./**/ ) *1 1(+0+) '/(/ ,/'+)+ )+) %0 ( 0''1 D*0 )/ 0''/.D)+/.1 < ;K (/+/ ,"1 1''/ ')0 ,/ /'+/ %0 9 D0..1 0''/.D)+.),) )( B & / ( (0 %1* %)0 1+./ %) 9
- 1. 0*, () %1) ')'+1 ) %) ,/(+./**/ [ '+0+0 %),")0.0+0 0(,"1 *0 * ( "1 0 %) +0*) D0..1++1 & 0& 0% 1'1 )/& 1. )* ')'+1 0 (/( [ '+0+/ .)*0',)0+/ 0*, ( %0+/- 0 * ( "1 0 %1**1 D0..1++1 1. +0*1 ')'+1 0& Z )(%)& [ '+0+0 '+0D)*)! +0 )( 0,,/.%/ ,/( )* $0++/ ,"1 *Y)(+1./ (/,,)/*/ $/''1 1.$1++0 1(+1 ,.)+),/ Z 0(%/ )* ')'+1 0 '+1''/ $/''1 )(+1.0 1(+1 )('1.)+/- / (! Z 1 [ (/+0 *0 1/ 1+.)0 1(1.0*1 %1 *) 1*1 1(! +) %) ,/(+./**/ 1. / ( (/ %1) Z 0++./ ')'+1 ) - 0 $) .0 A /'+.0 *0 ,/($) .0 )/(1 0%/+! +0+0 1. *Y0''1 D*0 )/ 0''/.D)+/.1 )( B *) 0,,)0) ) )1 0+) 1. )* ./ 1++/ ( ,*10.1 '/! (/ %)$$1.1(+) %0 Z 1**) 0%/++0+) 1. )* 1''1* 1 )* down-comer- 0 ,/ /') )/(1 %1**Y0,,)0)/ 1. *1 '+. ++ .1 )(+1.(1 0* (/,,)/*/ < 0)(1 1 0.+) '+. ++ .0*);& (/( [ '+0+0 0(,/.0 %),")0.0+0- 1.! +0(+/& 0) $)() %1**0 ') *0 )/(1& [ '+0+/ '1*1 )/! (0+/ ( +) ),/ 0,,)0)/ )( .0%/ %) *0 /.0.1 )( Z 1'+/ +) / %) 0 D)1(+1- #) +.0++0 %1**Y0,,)0)/ P & / 1++/ %) /*+) '+ %) )(1.1(+) 0+1! .)0*) 1. +1,(/*/ )1 ( ,*10.) 0% 0*+1 +1 1.0+ .1 - 0 ' 0 ,/ /') )/(1 )'/+/ ),0 [ .) /.+0+0 )( +0D1**0 FTabella 10 - Composizione isotopica dellâ&#x20AC;&#x2122;acciaio HCM12A [3]
( 0,,/.%/ ,/( Z 0(+/ .) /.+0+/ (1**1 .1,1! %1(+) $) .1 1 B& *0 $) .0 /'+.0 *0 ,/($)! .0 )/(1 $)(0*1 %1* ')'+1 0 ( ,*10.1 %0 ) *1!
1(+0.1 0**Y)(+1.(/ %1* ,/%),1 %) +.0' /.+/ %1**0 .0%)0 )/(1 W- 1(+.1& *1 $) .1 1 '/(/ *1 '1 )/() /.) /(+0*1 1 1.+),0*1& /++1( +1 ,/( )0() 1%)0()& %) + ++/ )* ')'+1 0 (0 /*+0 ,"1 1''/ [ '+0+/ ) *1 1(+0+/ (1* ,/%),1 * ')'+1 0 /++1( +/ [ 1.$1++0 1(+1 ,.)+),/- (! $0++)& +.0 )+1 */ '+1''/ ,/%),1 W& ( ,0*! ,/*/ %) ,.)+),)+3 "0 %) /'+.0+/ ,/ 1 )* $0++/.1 %)
/*+) *),0 )/(1 1$$1++) / ')0 0.) 0 1$$X -FFFFFě&#x2022;?F-FFF E< ;- Y1$$1++) 0 $.0 )/(1 %) (1 +./() .)+0.%0+) [ %),")0.0+0 0.) 0 1$$XF-FF ? - =(Y *+1.)/.1 0(0*)')& 1$$1++ 0+0 ' * ')'+1 0 ) *1 1(+0+/& ,/ ./ 0 +0*1 %0+/#1DD1(1 *1 )($/. 0 )/() .1*0+) 1 0* # FF (/( $/''1./ +/+0* 1(+1 1'0 .)1(+)& )* ')'+1 0 ( ! ,*10.1 ) *1 1(+0+/ ') 0 ),)(0 /*+/ 0 Z 1**/
> 6 6 6 > 6 >
) .0 A Assemblaggio assorbitore (AA)
) .0 Schema delle strutture in-core ed ex-core da implementare
) .0
Sezione orizzontale del sistema implementato, da MCNPX
) .0 Sezione verticale del sistema implementato, da MCNPX
/.) )(0*1 1 ,/ (Z 1 T .0 .1'1(+0.1 ( 1'1 )/ 0 '1 '+0(+1 %) .10++/.1 ( ,*10.1 1*/,1 .1$.) 1.0+/ ,/( )/ D/ 1.$1++0 1(+1 ,.)+),/& %/+0+/ %) + ++) ) ' /) ')'+1 ) %) '), .1 0 1 ,/(! +./**/-
) .0 B â&#x20AC;&#x201C; Spettro neutronico al centro del nocciolo
Spettri neutronici
) .0 E â&#x20AC;&#x201C; Spettro neutronico in corrisponenza dellâ&#x20AC;&#x2122;elemento di combustibile piĂš periferico
) .0 ? â&#x20AC;&#x201C; Spettro neutronico in corrispondenza della circonferenza mediana del down-comer
) .0 : â&#x20AC;&#x201C; Errore relativo per le misure dello spettro neutronico al centro del reattore
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1(+1 )* .1$.) 1.0(+1- 1.+0(+/ )* ./,1''/ %) .0*! *1(+0 1(+/ %1) (1 +./() <slow-downing; ,/(+)! ( 0 $)(/ 0% 0'' 1.1 *0 ,*0''),0 %)'+.)D )/(1 0 ,0 0(0- Y1(1. )0 )V ./D0D)*1 %1) (1 +./! () ' **0 ,).,/($1.1( 0 1%)0(0 %1* down-comer [ 0.) 0 XF& B1 <%)1,) /*+1 Z 1**0 %) ( .10++/.1 0% 0,Z 0 *1 1.0;& 1(+.1 *Y1(1. )0
1%)0 [ X:FF1 -
) .0 9 â&#x20AC;&#x201C; Errore relativo per le misure dello spettro neutronico nel down-comer
) .0 A â&#x20AC;&#x201C; Sezione dâ&#x20AC;&#x2122;urto (n, ) per 207Pb [5]
Impiego di strumentazione neutronica: camera a fissione per alte temperature. / 1 )** '+.0+/ )( $) .0 & )* ./ 1++/ . ''/ .1! 1%1 *Y)('+0**0 )/(1 %1**0 '+. 1(+0 )/(1 1. )* ,/(+./**/ %1* .10++/.1 0**Y)(+1.(/ %1* down-comer- ++0 )0 (/( [ ' 1,)$),0+/ ,"1 +) / %) +1,! (/*/ )0 [ ) )1 0+0- 1.+0(+/& ') [ %1,)'/ %) 0* +0.1 *0 .)' /'+0 %) (0 +) ),0 ,0 1.0 0 $)'! ')/(1 1. 0*+1 +1 1.0+ .1& 0++ 0* 1(+1 +)*) 0! +0 1. )* /()+/.0 )/ %) .10++/.) 1*/,) .1$.) 1.0! +) ,/( '/%)/ <# ; /),"M *0 +1 1.0+ .0 1%)0 %1* .1$.) 1.0(+1 (1* down-comer [ 0.) 0 X?A & ') [ '1*1 )/! (0+0 ,/ 1 '/(%0 ( /%1**/ ./%/++/ %0**0 "/+/()' *0 = B - 0 +0D1*0 F /'+.0 *1 ' 1 .)(,) 0*) ,0.0++1.)'+),"1 1% [ ',"1 0+) 0! +0 )( $) .0 0 ,/ /') )/(1 )'/+/ ),0 %1**/ '+.0+/ '1(')D)! *1& %) %1(')+3 '1(')+) 1X9& C, [ .) /.+0+0 )( +0D1**0
0 .)' /'+0 %1**0 ,0 1.0 0 $)'')/(1 = )(! '1.)+0 )( ( $* ''/ +1. ),/& +) ),/ %) ( .10++/.1 0% 0,Z 0 *1 1.0& [ .) /.+0+0 )( +0D1**0 0 .)' /'+0 %1**0 '+1''0 ,0 1.0 0 $)'')/(1 = [ '+0+0 0* +0+0 Z 0(%/ )('1.)+0 )( ( $* ''/ (1 +./(),/ %) 0*1 )(+1(')+3& 0 ,/( ' 1++./ 1(1. 1+),/ ,/..)' /(%1(+1 0 Z 1**/ .)! 1*0+/ (1* down-comer %1* # FF * .0+1/ %) $)'')/(1 T 1''1.1 0* +0+/ ,/ 1 $ X (< ;5 E5 $< ;% , ! '! ;
Tabella 20 - Principali caratteristiche della camera a fissione Photonis CFUE32 [4] 1 1.0+ .0 %) 1'1.,) )/ 0+1.)0*1 %) .) 1'+) 1(+/ 0+1.)0*1 )'/*0(+1 1(')/(1 (/ )(0*1 #+.0+/ '1(')D)*1 0''0 %1**/ '+.0+/ '1(')D)*1 0' %) .)1 ) 1(+/ 6)0 1+./ ( "1 0 ( "1 0 '+.0+/ '1(')D)*1 1 / 1. ,/**1 )/(0.1 *0 ,0.),0 #1(')D)*)+3 0) .0 ) 0
0 0'') 0 1' /') )/(1 0) .0 ) 0
0
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EF
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EF (' ! F F C 5"! FB C"
) .0 Detector, camera a fissione Photonis CFUE32 [4]
1
Tabella 22 - Composizione isotopica dello strato sensibile interno alla camera a fissione Photonis CFUE32 [4]
?
Composizione isotopica [%w/w]
234 U 0.059731
235 U 98.048936
236 U 0.039821
238 U 1.403686
16 O 0.447826
Tabella 23 - Risposta della camera a fissione Photonis CFUE32 per un flusso termico [4]
Thermal neutronic flux [ n] [n/(cm2s] 103ě&#x2022;Ś108 107ě&#x2022;Ś3¡1012 109ě&#x2022;Ś1013
Pulse mode Campbelling mode Current mode
Signal
10-3 conteggi/(s¡n/(cm2s>) 4¡10-29A2/(Hz¡n/cm2) 10-16A/n(n¡cm-2s-1)
Tabella 24 - Segnale in uscita dalla camera a fissione Photonis CFUE32 per il flusso neutronico tipico del BREST 300 in corrispondenza del down-comer
Neutronic flux [ n] [n/(cm2s] 103ě&#x2022;Ś108 107ě&#x2022;Ś3¡1012 109ě&#x2022;Ś1013
Pulse mode Campbelling mode Current mode
)( , ) E [ )* ( 1./ %) )'/+/ ) %) E= 1. , 0**Y)(+1.(/ %1**0 ,0 1.0 0 $)'')/(1 ( 0,,/.%/ ,/( *0 ,/ /') )/(1 %1* ,/ D '+)! D)*1 1 %1* *) 1**/ %) /+1( 0 +1. ),0 %1* (/,,)/*/ 0 )1(0 /+1( 0& )* $* ''/ (1 +./(),/ 1%)/ )(! ,/.1 [ '+) 0+/ 0.) 0 (X -?? 5 F (C<,
5';&
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Signal 3.62¡10-4 conteggi/(s¡n/(cm2s>) 1.45¡10-29A2/(Hz¡n/cm2) 3.62¡10-17A/n(n¡cm-2s-1) ')/() )(+1.(0 1(+1 0**0 = & Z 0(%/ )('1.)! +0 (1* down-comer %1* # FF& [ .) /.+0+/ )( +0D1**0 B /($./(+0(%/ ) .)' *+0+) .) /.+0+) )( +0D1**0 B ,/( Z 1**) .) /.+0+) (1**0 .1,1%1(+1 +0D1**0 & ') .)',/(+.0 ,"1 )* '1 (0*1 )( ',)+0 %0**0 ,0 1! .0 0 $)'')/(1 = & Z 0(%/ )('1.)+0 (1* down-comer %1* # FF& [ 0.) 0 ,).,0 ( +1. / %) Z 1**/ ./%/++/ %0 ( $* ''/ +1. ),/ %) 0.) )(+1(')+3-
Conclusioni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down-comer %1* # FF#) [ 1. 1( +) 0* .)' *+0+/ ,"1 )* '1 (0*1 )( ',)!
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)/() ,/**1 )/(0+1 )(,/.0 )0(/ 0 $0.1 *+1.)/.) 0 ./$/(%) 1(+) ' **1 ,0 1.1 0 $)'')/(1 ) )1! 0+1 (1 *) # 1 0 ./ /..1 ) *)/.0 1(+) ,/! '+. ++) ) 1. .0 ) ( 1.1 (0 ,/..1(+1 )( ',)+0
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