A-BAQUS A multi-entry graph assisting the neutronic design of an ADS Case study: EFIT

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Fifth International Workshop on the Utilisation and Reliability of High Power Proton Accelerator SCK-CEN Mol, Belgium 6-9 May 7 A-BAQUS A multi-entry graph assisting the neutronic design of an ADS Case study: EFIT Carlo Artioli carlo.artioli@bologna.enea.it

EUROTRANS DM1 Task 1.2.4: EFIT Core Design The EFIT (European Feasibility for Industrial Transmutation, VI FP, IP EUROTRANS) concept developed for the transmutation of MAs Neutronic design of a Pb cooled sub-critical core (ADS with k eff (t) 0,97) EFIT Pb Main features Goal: Fuel: Coolant: Power: fissioning MA MA & Pu Oxide in inert matrix (MgO) Lead,, Tin= C,, Tout=480 C several hundreds MW

Main parameters to keep under control simultaneously in ADS neutronic design Provided: Subcriticallity Keff Fuel: Tmax, conduction Linear Power Thermohydraulic constraints (ΔT, coolant velocity) hom. power density Matrix rate Enrichment Power/size Δk cycle Current Performances

e (%) PELLET e = Pu / (Pu+ MA) 50 MA Pu MgO fuel Inert matrix = Matrix / (Matrix + fuel) 50 ( %fuel )

50 e (%) FUEL MA e = Pu / (Pu+ MA) Transmutations Pu Fission product Total balance 42 kg / Twhth (from theor. MeV/fission) MA mass balance (- 50 +8) - 42 0 Pu mass Balance Pu breeder Pu burner 50

e (%) Pu mass Balance MA mass balance Pu burner Pu breeder MA e = Pu / (Pu+ MA) ΔK swing (pcm/y) Pu Fission - 42 0 Fission Transmutations Δk (pcm/y) 0 FUEL 50

e (%) 50 Linear power rating (depending on the fuel) ( %fuel ) Coolant volume fraction (depending on coolant velocity) Homog. Power density rather constant Increasing the P (MW) Core Radius (cm) Increases the geometrical size (adjusted for criticallity) Increases the Core Power

I (ma) 50 25 Decided the minimum of subcriticality e (%) Core Power Δk swing Proton current Proton current range Enrichment constant P (MW) Core Radius (cm)

Δk e (pcm/y) (%) Breeding zone MA Pu 0 Burner zone -42 0 Pu Burner Pu Breeder I (ma, 800 MeV) 30 50 54 P R (cm)

Δk e (pcm/y) (%) MA Pu ΔK zero approach Flux flattening technique by different rate of matrix (min 50%) ΔK zero fuel enrichment 0 ΔMA and ΔPu (kg/twhth) -42 0 Pu Burner Pu Breeder I (ma, 800 MeV) 30 According to matrix rates (3 options) Core dimension for criticality (3 options) 50 54 Core power (3 options) Proton current (3 options) Δk cycle zero proton current constant in the cycle P R (cm)

ΔK zero approach Flux flattening by rates of matrix ΔK zero e = 50% -36/-6 According to average matrix rate Core dimension Core power Proton current MA Pu -42 0 Δk cycle zero, current constant -36-6 I (ma, 800 MeV) 30 5 Δk 0 e (pcm/y) (%) 50 55/50 (2 core zones) 50 54 Pu Burner Pu Breeder 2 7 P R (cm)

ΔK zero approach Flux flattening by rate of matrix ΔK zero e = 50% -36/-6 According to average matrix rate Core dimension Core power Proton current Δk 0 e (pcm/y) (%) MA Pu -42 0 Δk cycle zero, current constant 50-36 -6 Pu Burner Pu Breeder I (ma, 800 MeV) 5 30 55/50 50 54 2 7 P R (cm)

ΔK zero approach Flux flattening by content of matrix ΔK zero e = 50% -36/-6 According to av. matrix 3 rates Core dimension (3 options) Core power (3 options) Proton current (3 options) Δk e (pcm/y) (%) MA Pu -42 0 Δk cycle zero, current constant -36-6 0 50 Pu Burner Pu Breeder I (ma, 800 MeV) 6.5 5 30 50 55/50 58/50 60/50 54 2 7 245 115 275 120 P R (cm)

Δk e (pcm/y) (%) MA Pu MW approach Flux flattening technique by different pin diameters (matrix rate = 50%) P = MW pitch (coolability) 0 core dimension -42 0 Pu Burner Pu Breeder I (ma, 800 MeV) Enrichment for criticality 30 50 54 ΔMA and ΔPu (kg/twhth) ΔK cycle ΔK cycle not zero proton current variable in the cycle P R (cm)

MW approach Flux flattening by pin diameter (Matrix rate 50%) Core dimension (coolability) Enrichment (reactivity) MA balance Δk cycle Proton current and cycle range Δk 0 e (pcm/y) (%) 1900 27 MA Pu -65 +23-42 0 50-36 -6 Pu Burner Pu Breeder I (ma, 800 MeV) 32 20 50 54 ΔK swing P R (cm) 157

ΔK zero approach MW approach Δk 0 e (pcm/y) (%) 1900 27 MA Pu -65 +23-42 0 50-36 -6 Pu Burner Pu Breeder I (ma, 800 MeV) 32 20 50 54 ΔK swing P R (cm)

Δk zero approach tuned to MW (Flux flattening by rates of matrix) e = 50% Δk =0 pcm/y ΔMA and ΔPu - 36, - 6 kg/twh 55 I ma Δk 0 e (pcm/y) (%) 1900 27 MA Pu -65 +23-42 0 50-36 -6 Pu Burner Pu Breeder I (ma, 800 MeV) 55% 32 20 50 54 Source efficiency decreases along the spallation module increasing ΔK swing P R (cm)

42 0 approach tuned to MW (Flux flattening by rates of matrix) ΔMA and ΔPu: -42, 0 kg/twh e 45% Δk pcm/y 53 I 12-17 ma Δk 0 e (pcm/y) (%) 1900 27 45% MA Pu -65 +23-42 0 50-36 -6 Pu Burner Pu Breeder I (ma, 800 MeV) 17-12 53% 32 20 50 54 ΔK swing 45% P R (cm) 45%

I (ma, 800 MeV) 32 5 Δk e (pcm/y) (%) 50 54 MA Pu -42 0 0 50-36 -6 42 0 enrichment Δk cycle 20 42 0 approach Flux flattening technique by different rate of matrix (min 50%) According to matrix rate (3 options) Core dimension for criticality (3 options) 0 50-65 +23 Pu Burner Pu Breeder ΔK swing Core power (3 options) P R (cm) Proton current (3 options) Δk cycle not zero proton current variable in the cycle

42 0 approach Flux flattening by rates of matrix 42 0 e = 45.7% According to av. matrix rates Core dimension Core power Proton current Δk cycle not zero, current variable Δk 0 e (pcm/y) (%) 1900 27 optimization E=45.7% MA Pu -65 +23-42 0 50-36 -6 Pu Burner Pu Breeder I (ma, 800 MeV) 16 13 32 20 50 54 57/50/50 ΔK swing E=45.7% optimization P R (cm) E=45.7% optimization

42-0 approach fuel enrichment 45,7% (flattening by 3 radial zones) (calculations:: M. Sarotto) Outer zone (same pin number, larger pin diameter) Inner and intermediate zones (same pin diameter, different matrix rate)

Size required to reach k eff 0.97 Core power (calculations:: M. Sarotto)

Hom. Power density at midplane (calculations:: M. Sarotto) Maximum allowed, corresponding to linear power rating 207 and 180 W/cm

Δ k vs time: Δ k = pcm/y (calculations:: M. Sarotto) 0,975 384MW th (ERALIB1 Library; 75 Solid FPs; 172 -> 1968 -> 51 energy groups) 0,974 k eff 0,973 0,972 pcm/y keff 0,971 0,970 0,969 t [y] 0 0,5 1 1,5 2 2,5 3

Mass balances (calculations:: M. Sarotto) Pu [ w % ] Pu238 3,737 Pu239 46,446 Pu240 34,121 Pu241 3,845 Pu242 11,850 Pu244 0,001 Pu238 Pu239 Pu240 Pu241 Pu242 Pu244 Pu Vector Pu & MA MOX spent + 30 y cooling Pu Vector Np237 Am241 Am242 Am242m Am243 Cm242 Cm243 Cm244 Cm245 Cm246 Cm247 Cm248 MA Vector 91,8% Am 4,3% Cm MA [ w % ] Np237 3,884 Am241 75,5 Am242 3,27E-06 Am242m 0,254 Am243 16,054 Cm242 2,3E-20 Cm243 0,066 Cm244 3,001 Cm245 1,139 Cm246 0,089 Cm247 0,002 Cm248 1,01E-04