Decomposition Analysis of an Automotive Powertrain Design ...

Table A.2: Summary of Vehicle Optimization Model Equations.
f-index Name Equation Index list
0 Te Te - 7.955 x 10 -6 Pbmep b 2 s π /4 nc 16, 118, 76, 77, 82
1 Tacc Tacc - f (Ne). 104, 6
2 Ti Ti - ( Te - Tacc - π/30 (Ie + Iacc + Ii) dNe/dt) 17, 16, 104, 68, 73, 63, 7
3 Rs Rs - Nt/ Ne 15., 6, 8
4 Tgb Tgb - (Tt - π/30 It dNt/dt ) 18, 62, 9,71
5 Tfd Tfd - ( Tgb ηgb ξgb - Tch - π /30 (Igb + Ids) dNds/dt ) 19, 18, 47, 48, 20, 51, 57, 11
6 Td Td - ( Tfd ηfd ξfd - π/ 30 Ifd dNdr/dt) 21, 19, 54, 55, 56, 13
7 Nt N t - ξ gb N ds 8, 48, 10
8 dNt dN t /dt - ξ gb dN ds /dt 9, 48, 11
9 Nds N ds -ξ fd N d 10, 55, 12
10 dNds dN ds /dt - ξ fd dN d /dt 11, 55, 13
11 Mu µ − ( 1.07 µo (1 - e -17.31 S/(S-1) ) - 0.285S/(S-1)) 44, 43, 14
12 S S - ( 1 - π/30 re Nd / V) 14, 42, 12, 1
13 Fd Fd - ( Fnd µ(S) + (1 - |sign (S)| ) (Td - π /30 Id dNd/dt ) / re ) 22, 4, 44, 14, 21, 45, 13, 42
14 Acc (M + C I nd ) dV/dt - ( Fd - Froll - Fgrade - Faero) 34, 2, 22, 29, 31, 28, 46
15 Froll
Froll - (Croll Fnnd + Croll Fnd + (Tbd (Nd) + Tbnd (V/re))/re)
29, 30, 4, 5, 125, 126, 12, 1, 42
16 Grade Fgrade - ( M g sin α, ) 31, 34, 23,
17 Croll Croll - ( 0.05 (1. + V/100). 30 1
18 Faero Faero - ( 0.5 Cd A ρair V 2 ) 28, 27, 26, 1
19 Area A - ( 0.9 Ha Sw ) 26, 33, 38
20 Wd Wd - ( Lnd cos α / Lw) 39, 36, 23, 37
21 Wnd Wnd - ( Ld cos α / Lw) 40, 35, 23, 37
22 Dwd ∆Wd - ( (M dV/dt Hcg + Mg sin α Hcg + Faero Ha) / Lw) 41, 34, 2, 32, 23, 28, 33, 37