CYNOD: A Neutronics Code for Pebble Bed Modular Reactor Coupled Transient Analysis

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1 IN/ON-8-46 PEPIN YNO: A Nuoc od o Pbb d Modua aco oud a Aay H 28 Hau Hua Abda M. Ououa Ha. oua a O ad W. N. a Wa. Wa III b 28 h a o a a dd o ubcao a oua o ocd. c cha ay b ad bo ubcao h houd o b cd o oducd whou o o h auho. h docu wa ad a a accou o wo ood by a acy o h Ud a o. Nh h Ud a o o ay acy ho o ay o h oy a ay waay xd o d o au ay a aby o oby o ay hd ay u o h u o uch u o ay oao aaau oduc o oc dcod h o o ha u by uch hd ay woud o ay owd h. h w xd h a a o cay ho o h Ud a o o h oo acy.

2 Pocd o h 4h Iaoa oca M o Hh au aco chooy H28 b 28-Ocob 28 Waho UA H YNO: A NEUONI OE FO PEE E MOUA EAO OUPE ANIEN ANAYI Hau Hua Idaho Naoa aboaoy Idaho Fa Idaho UA Abda M. Ououa Idaho Naoa aboaoy Idaho Fa Idaho UA Ha. oua Idaho Naoa aboaoy Idaho Fa Idaho UA a O Idaho Naoa aboaoy Idaho Fa Idaho UA ad W. N Idaho Naoa aboaoy Idaho Fa Idaho UA. a Idaho Naoa aboaoy Idaho Fa Idaho UA Wa. Wa III Idaho Naoa aboaoy Idaho Fa Idaho UA AA I h a a w uo c o o cydca -Z oy YNO d o h uao o coud a ob o bb bd aco. h cod u h c oa Mh F c hod whch a o o-doa quao ach a dco od by a o h aayc uco hod. A hod ha da wh coo od cu ob ao d. A hoou u od d od o accuay a o accou o dbac c. Nuca u ha doa h accuacy o h cod a ao d. INOUION h Pbb d aco P o o wo coc cuy codd o do o h Nx ao Nuca Pa NNP. I h P du acua o h coc h ay chaacc. I od o y ad co h d ay chaacc o h P couaoa oo u b dod ha a h a o hoa ha a xcd o b oa o h y o aco. A w aco c cod YNO ha b w bad o a xd ouc o xacd o h oda cydca oy o coad wh h PEE cod []. h w cod hu h h aa o chaacc o h oda o wh PEE. h dd uo duo quao xd aaycay ach od o h -Z cydca oy ub-doa o od aod o o-doa quao by a o h uua a ao ocdu. h odoa duo quao ach o h dco a h od u h aayc uco hod [23]. h u quao o h doa a h -ca h o o h c oa Mh F c - MF [9] o coc o ouo. I od o o h coo-od cu c caud by od ha coa a aay d coo od a hod ha a adaa o h uco ouo d. I h cocd a h od a hood u axa ux ha coucd bad o h uco hod. I ady a ca ad o ow a ob h hooou a o u o 5 c da aocad wh ach bb uc c h u au y co o h au o h uoud ah du o h hh ha coducy ad h a dc aa o bw ah ad coa. How h ca o a a ob o a ow xcuo h dc bw u ad ah au ca. hu a hoou u od cay o accuay cou au ad cau o dbac c [7].

3 h a a cy dod 2 -Z cydca oda c cod YNO ad how o o caab by ay o a o ow ad a bcha. h w cod ha b coud o h ha hydauc cod HEMIX/ONE [4] ad EAP5-3 [5] o acao o h uao o y a a P. NOMENAUE Aa ou ad - ada aa o h ada od Axa o h axa od h h - = + - ou o co ad ayd Nuo Paa oa co co a a uco o ac ' ca co co a a uco o ac Fo co co a a uco o ac Hood oa co co ' Hood ca co co Hood o co co Nub o o uo o Nuo d ayd uo aco o h h cuo I cay coa o h h dayd uo cuo Po o uo ca ayd uo ca Fux ad ouc Nuo caa ux ada cu Axa cu ayd uo cuo cocao Nod aad caa ux ada ac cu o uac o od Axa ac cu o uac o od Nod aad cuo cocao Nod aa ouc o ada dco Nod aa ouc o axa dco h h axa aa ouc o Fuco ad oc uco o axa dco uco o ada dco h h axa aa o o Fuco / Axa aa cou coc / ada aa cou coc MEHOOOY c MF -MF Mhod o -d uo Equao ydca oy I h co w h -MF hod o ouo o h -dd duo quao cydca -Z oy bad o h uco hod whch wa oay dod o h PEE ady-a o. u cod h -dd o o h w-ou uo baac quao cydca oy: I ad a o quao o dayd uo cuo by: I... o 2 wh a oao a h ou co. I h ca o au ad a cacuao a o ouc Eq. ad 2 a cad by. o d a o dcd baac quao w a Eq. o h ou o od a b - = N = N : dd I b a.3 h au ha h co co a c-w coa o h o od.. hood w oba a o dcd oda baac quao -Z oy: I a b. 4 I od o d a o quao a a uco o h od aa caa ux w d xo o ac 2

4 cu a a uco o adac od by a o Aayc Noda Fuco Mhod ANFM [23]: 5 o h -dco ad M M 6 o h -dco. No ha h xo o ac cu o h oh uac a a o Eq. 5 ad 6. h uca a o h ddc uo c a dcu a c h quao a du o h a dc h coa aocad wh o uo oduco ad dayd uo cuo dcay. I od o da wh uch dcu o d a obu ad ab hod. h da dcd by a o h c Eu hod: H whch u ucodoa uca aby. 7 Fo h dcao o h dayd uo cuo quao by Eq. 2 w u h a aco hod: ' ' ' d.8 I w au ha h o ouc a ay bw h w ca aua h a Eq. 8 a: H 9 wh H H H. I w ubu Eq.5-7 ad 9 o Eq.4 w oba a h y o quao who coc ca b w h o o a -badd ax. A ach - h y o quao ucay od by ad ou ao oo Fu. I h ao oo h a aa a udad ad h y o quao wh h -badd coc ax d by a o h -O ch. h ou ao uda h o bad o h ouo obad a h ou ao. u h ou ao h ouo xaoad by a o a ayoc ouc xaoao hod [6]: 2 / 2 / 2 wh h ou ao dx. No: h aa ad oa dc a ud. h accao ch qu cacuao o whch ca b aoaby ad by a h ao o o o o wo ucc ao:. 3 Fu : Fowcha o h a oc YNO. a o oo-od u Pob h co h hod d o o h coo od cu ob. h od-cu ob a wh a coo od aay d o a a aa od ad h cacuao xhb uhyca cu acy o. O way o o h ob o oba hood co co by cocy x oddd ad u-oddd o. o o uch hooao w couc h axa ha o h ou caa ux wh a aay oddd od a ach - by a o ANFM: M wh h dc ad cood o h ada ad axa oo o h od coa a aay d coo od cy. U Eq. w cacua boh coo-od o ad ah o aad caa ux by a o ach o: d acua o ouc a + acua a aa o y o quao o Uda ac cu & hc coc o + NO I Iao YE NO hc coc o + Iaao Ou Iao o o + 3

5 ah d 2 wh h boo uac o h coo-od. h h hood co co a cacuad by u o aad caa ux a wh: ah ah ah 3 ho ah ah wh ah. 4 ou wh ha-hydauc od h coud cod YNO-EAP5-3 ad YNO- HEMIX/ONE ha b dod o h uao o P a. h owcha o h coud a uao oc how Fu 2. h uoc ad ha hydauc cod a cocd by a ac ou ha o coucao o daa ow ad au dbuo c. o ach cod. I acua o cou wh EAP5-3 h ac ou acd wh h a uo cod PMEXE [] whch a a a a ac bw YNO ad EAP5-3. h PMEXE oa oa ud h PM o o au o ach uao cod 2 ychoao o coud uao oc 3 cacao o a /cd by ach cod ad 4 ao o coud uao. y u h oa o ca YNO ad EAP5-3 a aa oa ad o ca o a coud cod. h coud uao a o h uoc cacuao by YNO. h cacuad ow dy dbuo o YNO ad o h ha hydauc cod o h cacuao o bu ah au ad hood u au a h adacd -. U h bu ah au ad h ow dy dbuo oad o h u ou a hoou au odu cacua aa u o au. Wh h hoou au odu a a ch o h u au d. h ao co o cacuao o au dd coducy/ha a coc ach ay o h u ac ad cacuao/coc chc o h aa u au. ad o h obad u ad bu ah au co co a ay oad o h bay ad ad o YNO o h x -. h - o YNO-EAP5-3 a dd by a o h aa oua aby. h a a ao ud o h YNO- HEMIX/ONE uao o co coao. Fu 2: Fowcha o coud YNO-HEMIX u-co cacuao EU AN IUION h oac o h adao YNO a cod wa auad u odd' -Z bcha ob [8]. h ob a 2- - dayd ucca a duo hoy ob wh wo uo y ou ad x dayd uo ou. h ob oy how Fu 3. I h ob h ha aboo co co o 3 ad 7 ay cad by 3% ad ay dcad by 3% o o a od o cod boh ca. h a ow cacuad by h cod how Fu 4 ao wh h c au. h u how u ca cood o aou dcao o h ad aa aab. h u a y w wh h quadac ouc aoxao h oda quao ud h axa dco. How wh a a ouc ud h ouo do o ach h a quay o accuacy a ha obad by u quadac ouc h ub o axa h a doubd. o uh doa h caaby o h coud cod w h a od co ob o h OE PM-4 bcha. I h ob a coo od wh h ou co a ud ou 2 c abo h oa oo o. cod. Fu 5 ad 6 how coao o a ow ad u ad odao au obad by YNO-EAP5-3 ad YNO- HEMIX/ONE cy. Accod o h wo u u obad by h wo coud cod a co. h ad ca o u au h dod hoou u od uh ca o ow accuay accou o h o c. hy hh u ad odao au a obd YNO-EAP5-3 u. h dad axa odaao EAP5-3 cau h aa au o b owha hh ha HEMIX. 4

6 9 8 7 a Pow Fu au Modao au a Pow P/P au [] [c] Fu 5: oao o a ow u ad odao ah au cacuad by YNO- EAP Fu 3: chac daa o odd dayd ucca a bcha ob. a Pow P/P a Pow Fu au Modao au au [] [c] Fu 6: oao o a ow u ad odao au cacuad by YNO- HEMIX/ONE Fu 4: oao o a ow obad by YNO. ONUION A 2- -Z cydca oda c cod YNO ha b dod o accua coud a uao P co. I h cod o-doa quao ach a dco a od u h Aayc Noda Fuco Mhod. h u quao o h doa a h -ca h o o h c oa Mh F c hod. I od o o h coo od cu c co co h aay oddd od a hood u axa ux ha coucd bad o h uco hod. A hoou u od d od o accuay a o accou o dbac c. h uca u o h dayd ucca bcha ob dca hh accuacy o h adao c cod. h wy dod adao c cod ha b coud wh h ha hydauc 5

7 cod EAP5-3 ad HEMIX/ONE. h u o h coud od-co a ob how ha boh o coud cod wh h w hoou au odu accuay cau h o au dbac c o h coud ad a ob. EFEENE. W.. y H.. oua ad A. M. Ououa c c Mhod o Nuoc Aay ad ouao o Ayoc uu buo a ccua Pbb-d aco A. Nuc. Ey A. M. Ououa A oa-mh Noda Mhod o Muou Mudoa Nuo uo ouao M.. h Uy o Io H.. ac ad A. M. Ououa IIO: A Noda Nuo uo Mhod o Mod ou Achcu Nuc. c. E E. uch a..o.p. ou od y o aco Phyc ad Fu yc uao Fochuu üch bh ü h EAP5-3 od o a EAP5-3 od Maua ou I: od ucu y Mod ad ouo Mhod INEE-EX o 2.4 Idaho Naoa aboaoy A. My Accao o Exa ouc Pob Na-ca y Ad Phyc o Aua o: uy 97 o u 3 97 AN Ao Naoa aboaoy. 7.. ad W. a ad. oh ou o Nuoc ad ha Hydauc od o h uao o a o Pbb d H aco 2 d Iaoa oca M o Hh au aco chooy ha b Ao od : cha Pob oo AN-746 u. No. 2 Ao Naoa boaoy Y. A. hao A hoca Aay o h oa Mh F c ao Adacd Noda Mhod Poc. I. o. Mahac ad ouao aco Phyc ad Eoa Aay Nuca Acao Madd a W.. Wa III h Acao Poa Iac o h PMEXE Poa ad Aocad od ou y IN/EX-5-7 Idaho Naoa aboaoy 25. 6

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