Application of MORPHY program in lead-cooled fast reactor

Table 1. Material parameters of various fuel assemblies
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Table 1. Material parameters of various fuel assemblies
fuel type mass density/(g·cm⁻³) enrichment /% mass fraction of Pu-U/%
²³⁵U ²³⁹Pu
inner fuel 11.0049 0.4038 56.87 14.6
middle fuel 11.0092 0.4039 56.87 15.5
outer fuel 11.0236 0.4037 56.87 18.5

Table 2. The k_eff calculation results of different correction methods were added
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Table 2. The k_eff calculation results of different correction methods were added
method k_eff (MORPHY) k_eff (Serpent) deviation/10⁻⁵
no correction 1.02503 1.00790$ \pm $0.00009 +1713
transport correction 1.00392 1.00790$ \pm $0.00009 −398
(n,xn) correction 1.00656 1.00790$ \pm $0.00009 −134

Table 3. The k_eff calculation results of different S_N expansion orders

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Table 3. The k_eff calculation results of different S_N expansion orders

Model	$ {S}_{N} $	k_eff		k_eff deviation/$ {10}^{-5} $	MORPHYcalculation time/(CPU·h)
Model	$ {S}_{N} $	MORPHY	Serpent	k_eff deviation/$ {10}^{-5} $	MORPHYcalculation time/(CPU·h)
	$ {S}_{2} $	1.00656	1.00790$ \pm $0.00009	−134	5
Serpent(2D)	$ {S}_{4} $	1.00797	1.00790$ \pm $0.00009	+7	12
	$ {S}_{6} $	1.00813	1.00790$ \pm $0.00009	+23	27
	$ {S}_{2} $	1.00476	1.00790$ \pm $0.00009	−314	5
Serpent(S)	$ {S}_{4} $	1.00531	1.00790$ \pm $0.00009	−259	12
	$ {S}_{6} $	1.00528	1.00790$ \pm $0.00009	−262	27

Table 4. The k_eff calculation results of 3D model with all CRs removed
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Table 4. The k_eff calculation results of 3D model with all CRs removed
model k_eff calculation results deviation/10⁻⁵
k_eff (MORPHY) k_eff (Serpent)
all CRs removed 0.99572 0.99594$ \pm $0.00008 −22

Table 5. The k_eff calculation results of 3D full reactor model with CRs inserted halfway

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Table 5. The k_eff calculation results of 3D full reactor model with CRs inserted halfway

model	k_eff calculation results		deviation/10⁻⁵
model	MORPHY	Serpent	deviation/10⁻⁵
all CRs inserted halfway	0.97691	0.97729$ \pm $0.00008	−38
only CR A inserted halfway	0.99507	0.99486$ \pm $0.00007	+21
only CR C inserted halfway	0.99516	0.99514$ \pm $0.00007	+2
CRs A and B inserted halfway	0.99438	0.99454$ \pm $0.00007	−16

Table 6. The calculation results of reactivity change of 3D full reactor with CRs inserted halfway
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Table 6. The calculation results of reactivity change of 3D full reactor with CRs inserted halfway
model reactivity of MORPHY reactivity of Serpent deviation/10⁻⁵
all CRs insert halfway 1881 1865 +16
only CR A insert halfway 65 108 −43
only CR C insert halfway 56 80 −24
CRs A and B insert halfway 134 140 −6

Table 7. Flux deviation of 3D full reactor with CRs inserted halfway
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Table 7. Flux deviation of 3D full reactor with CRs inserted halfway
model min negative deviation/% max positive deviation/% mean absolute deviation/%
only A inserted halfway −6.57 2.97 1.60
only C inserted halfway −8.87 3.19 1.70
CRs A and B inserted halfway −9.73 3.11 1.76

Table 8. The k_eff calculation results of three dimensional full reactor model with CRs fully inserted

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Table 8. The k_eff calculation results of three dimensional full reactor model with CRs fully inserted

model	k_eff calculation results
model	MORPHY	Serpent	deviation/10⁻⁵
all CRs fully insert	0.96911	0.96888$ \pm $0.00008	+23
only CR A fully insert	0.99431	0.99460$ \pm $0.00007	−29
only CR C fully insert	0.99440	0.99470$ \pm $0.00007	−30
CR A and B fully insert	0.99405	0.99429$ \pm $0.00007	−24

Table 9. The calculation results of CR worth for CR assembly
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Table 9. The calculation results of CR worth for CR assembly
model CR worth calculation results
MORPHY/10⁻⁵ Serpent/10⁻⁵ deviation/10⁻⁵
all CRs fully insert 2661 2706 −45
only CR A fully insert 141 134 +7
only CR C fully insert 132 124 +8
CR A and B fully insert 167 165 +2

Table 10. The flux calculation deviation of 3D full reactor with CRs fully inserted

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Table 10. The flux calculation deviation of 3D full reactor with CRs fully inserted

model	min negative deviation/%	max positive deviation/%	mean absolute deviation/%
all CRs fully inserted	−7.68	1.62	1.81
only CR A fully inserted	−5.39	2.84	1.62
only CR C fully inserted	−5.68	3.43	1.78
CR A and B fully inserted	−5.85	2.11	1.37

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Jinzhou Li, Tengfei Zhang, Donghao He, Qingquan Pan, Xiaojing Liu. Application of MORPHY program in lead-cooled fast reactor[J]. High Power Laser and Particle Beams, 2024, 36(6): 066001

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Paper Information

Category:

Received: Oct. 17, 2023

Accepted: Jan. 31, 2024

Published Online: Jun. 3, 2024

The Author Email: Donghao He (donghaohe@sjtu.edu.cn)

DOI:10.11884/HPLPB202436.230357

Topics

laser devices and laser physics

Lasers and Laser Optics

Laser physics

laser manufacturing

Instrumentation, Measurement and Metrology

Table 1. Material parameters of various fuel assemblies

Table 1. Material parameters of various fuel assemblies

Table 2. The keff calculation results of different correction methods were added

Table 2. The keff calculation results of different correction methods were added

Table 3. The keff calculation results of different SN expansion orders

Table 3. The keff calculation results of different SN expansion orders

Table 4. The keff calculation results of 3D model with all CRs removed

Table 4. The keff calculation results of 3D model with all CRs removed

Table 5. The keff calculation results of 3D full reactor model with CRs inserted halfway

Table 5. The keff calculation results of 3D full reactor model with CRs inserted halfway

Table 6. The calculation results of reactivity change of 3D full reactor with CRs inserted halfway

Table 6. The calculation results of reactivity change of 3D full reactor with CRs inserted halfway

Table 7. Flux deviation of 3D full reactor with CRs inserted halfway

Table 7. Flux deviation of 3D full reactor with CRs inserted halfway

Table 8. The keff calculation results of three dimensional full reactor model with CRs fully inserted

Table 8. The keff calculation results of three dimensional full reactor model with CRs fully inserted

Table 9. The calculation results of CR worth for CR assembly

Table 9. The calculation results of CR worth for CR assembly

Table 10. The flux calculation deviation of 3D full reactor with CRs fully inserted

Table 10. The flux calculation deviation of 3D full reactor with CRs fully inserted

Table 2. The k_eff calculation results of different correction methods were added

Table 2. The k_eff calculation results of different correction methods were added

Table 3. The k_eff calculation results of different S_N expansion orders

Table 3. The k_eff calculation results of different S_N expansion orders

Table 4. The k_eff calculation results of 3D model with all CRs removed

Table 4. The k_eff calculation results of 3D model with all CRs removed

Table 5. The k_eff calculation results of 3D full reactor model with CRs inserted halfway

Table 5. The k_eff calculation results of 3D full reactor model with CRs inserted halfway

Table 8. The k_eff calculation results of three dimensional full reactor model with CRs fully inserted

Table 8. The k_eff calculation results of three dimensional full reactor model with CRs fully inserted