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Table III Database Characteristics for the Properties of Electrode \(1^a\) and Root Mean Squared Error (rmse) for the Direct PLS Regression Model

From: Metamodeling of the Electrical Conditions in Submerged Arc Furnaces

Output Database DM
Mean SD Min Max \({\hbox {rmse}}^b\)
\({\text {AP}}_{\text {Tot}}\) (MW) 36.2 7.8 18.5 63.0 1.9
\({\text {RP}}_{\text {Tot}}\) (MVAr) 33.1 1.4 29.0 37.0 0.4
\({\text {AP}}_{\text {Shell,Tot}}\) (MW) 0.39 0.01 0.35 0.42 0.005
\({\text {AP}}_{\text {Roof,Tot}}\) (MW) 0.19 0.01 0.18 0.20 0.003
\({{R}}_{\text {Tot}}\) (m\({\Omega }\)) 2.07 0.44 1.08 3.51 0.11
\({{X}}_{\text {Tot}}\) (m\({\Omega }\)) 1.89 0.05 1.76 2.01 0.03
\({\text {AP}}_{\text {El1}}\) (MW) 12.1 3.9 5.4 29.2 1.1
\({\text {RP}}_{\text {El1}}\) (MVAr) 11.0 0.6 9.6 12.6 0.17
\({\text {AP}}_{\text {Shell,El1}}\) (MW) 0.13 0.01 0.11 0.14 0.002
\({{R}}_{\text {El1}}\) (m\({\Omega }\)) 0.69 0.22 0.31 1.62 0.06
\({{X}}_{\text {El1}}\) (m\({\Omega }\)) 0.63 0.03 0.56 0.72 0.01
\({{V}}_{\text {El1}}\) (V) 125.7 23.9 83.5 238.7 7.4
\({\text {Vol}}_{\text {CB1}}\) (\({\text {m}}^3\)) 26.1 13.7 12.5 49.6 5.2
\({\text {Vol}}_{\text {Ab,CB1}}\) (\({\text {m}}^3\)) 5.9 5.4 1.3 21.9 3.4
\({\text {Vol}}_{\text {Be,CB1}}\) (\({\text {m}}^3\)) 20.3 9.4 9.4 43.1 3.6
\({\text {AP}}_{\text {CB1}}\) (MW) 9.5 3.1 4.0 24.0 1.0
  1. \(^a\)Thanks to the imposition of the rotational symmetry, the same values are found for Electrode 2 and 3
  2. \(^b\)Relative to the validation data