Presentation and Discussion of the UAM/Exercise I-1b: “Pin-Cell Burn-Up Benchmark” with the Hybrid Method

Table 7

Uncertainty in two-group cross-section data. Cross-section uncertainties are taken from SCALE6.1/44-GROUP.

			0 GWd/MTU	10 GWd/MTU	30 GWd/MTU	60 GWd/MTU
Σ abs-1		Mean value	1.16𝐸−02	1.20𝐸−02	1.26𝐸−02	1.31𝐸−02
	Relative uncertainty (%)	var(Σ𝜎)	0.9	0.9	0.9	0.9
		var(Σ𝑁)_ ΔXS	0.0	0.1	0.1	0.1
		var(Σ𝑁)_ΔFY	0.0	0.0	0.0	0.0
		Total Uncertainty	0.9	0.9	0.9	0.9
Σ abs-2		Mean value	1.16𝐸−01	1.30𝐸−01	1.31𝐸−01	1.20𝐸−01
	Relative uncertainty (%)	var(Σ𝜎)	0.2	0.2	0.2	0.3
		var(Σ𝑁)_ ΔXS	0.0	0.3	0.4	0.6
		var(Σ𝑁)_ ΔFY	0.0	0.2	0.2	0.2
		Total Uncertainty	0.2	0.4	0.5	0.7
Σ fis-1		Mean value	3.87𝐸−03	3.42𝐸−03	2.72𝐸−03	2.02𝐸−03
	Relative uncertainty (%)	var(Σ𝜎)	0.4	0.4	0.5	0.9
		var(Σ𝑁)_ ΔXS	0.0	0.1	0.2	0.3
		var(Σ𝑁)_ ΔFY	0.0	0.0	0.0	0.0
		Total Uncertainty	0.4	0.4	0.6	1.0
Σ fis-2		Mean value	8.64𝐸−02	8.48𝐸−02	7.52𝐸−02	5.84𝐸−02
	Relative uncertainty (%)	var(Σ𝜎)	0.3	0.3	0.4	0.5
		var(Σ𝑁)_ ΔXS	0.0	0.2	0.4	0.7
		var(Σ𝑁)_ ΔFY	0.0	0.1	0.1	0.0
		Total Uncertainty	0.3	0.4	0.5	0.8
𝜈Σ fis-1		Mean value	9.76𝐸−03	8.79𝐸−03	7.20𝐸−03	5.57𝐸−03
	Relative uncertainty (%)	var(Σ𝜎)	0.5	0.6	0.7	1.1
		var(Σ𝑁)_ ΔXS	0.0	0.1	0.2	0.3
		var(Σ𝑁)_ ΔFY	0.0	0.0	0.0	0.0
		Total Uncertainty	0.5	0.6	0.8	1.2
𝜈Σ fis-2		Mean value	2.11𝐸−01	2.15𝐸−01	1.99𝐸−01	1.62𝐸−01
	Relative uncertainty (%)	var(Σ𝜎)	0.4	0.5	0.6	0.8
		var(Σ𝑁)_ ΔXS	0.0	0.3	0.4	0.7
		var(Σ𝑁)_ ΔFY	0.0	0.1	0.1	0.0
		Total Uncertainty	0.4	0.5	0.7	1.1
diff-1		Mean value	2.51𝐸+00	1.41𝐸+00	1.99𝐸−01	1.62𝐸−01
	Relative uncertainty (%)	var(Σ𝜎)	0.9	0.9	0.9	0.9
		var(Σ𝑁)_ ΔXS	0.0	0.0	0.0	0.0
		var(Σ𝑁)_ ΔFY	0.0	0.0	0.0	0.0
		Total Uncertainty	0.9	0.9	0.9	0.9
diff-2		Mean value	4.33𝐸−01	3.62𝐸−01	3.56𝐸−01	3.54𝐸−01
	Relative uncertainty (%)	var(Σ𝜎)	0.2	0.2	0.2	0.2
		var(Σ𝑁)_ ΔXS	0.0	0.0	0.0	0.0
		var(Σ𝑁)_ ΔFY	0.0	0.0	0.0	0.0
		Total Uncertainty	0.2	0.2	0.2	0.2