Decomposition Analysis of an Automotive Powertrain Design ...

More documents

Recommendations

Info

Functional Dependence Table Graph (Adjacency Matrix) of FDT 0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111111111111111111111111111 0000000000111111111122222222223333333333444444444455555555556666666666777777777788888888889999999999000000000011111111112222222 0123456789012345678901234567890123456789012345678901234567890123456789012345678901234567890123456789012345678901234567890123456 hVdpFFNdNdNdNdSRTTTTTTFaaVACFFCFHHMLLLSWWDrmmIIhxxxInihxIIxxxaIIKKRRIDNTNIFqbscddnniieeieCdldlnCCCLDLDRRTTZdpPPPPPPPPvPRddhShTT c VinneNtNdNdN seigfcdd sc darrgca dnwwdnWeo dnggs4gggfffd123ttio ttecstpae0 rievcvvvvllsbbbbbsmpmmmmeaam piiffffffftbrmmtvvbn a / dn e tsd d bdh eoorg d dd dbbp beeddds o t pcg ocociitrrmmm iieegfc ttmmppmvohymefn db t d d / / s / rlla a aa a cr9 ffi r c eeurbti2pes/o d t d d / d olld n rr l 0 ttf pp loepfdx t t d t e s l f t/ Te ................1...........................................................11....1...................................1........ Tacc ......1.................................................................................................1...................... Ti .......1........11.............................................1....1....1..............................1...................... Rs ......1.1......1............................................................................................................... Tgb .........1.......11...........................................1....1...1....................................................... Tfd ...........1......111..........................11..1.....1..................................................................... Td .............1.....1.1................................111...................................................................... Nt ........1.1.....................................1.............................................................................. dNt .........1.1....................................1.............................................................................. Nds ..........1.1..........................................1....................................................................... dNds ...........1.1.........................................1....................................................................... Mu ..............1............................11.................................................................................. S .1..........1.1...........................1.................................................................................... Fd ....1........11......11...................1.11................................................................................. Acc ..1...................1.....11.1..1...........1................................................................................ Froll .1..11......1................11...........1..................................................................................11 Grade .......................1.......1..1............................................................................................ Croll .1............................1................................................................................................ Faero .1........................111.................................................................................................. Area ..........................1......1....1........................................................................................ Wd .......................1............11.1....................................................................................... Wnd .......................1...........1.1..1...................................................................................... Dwd ..1....................1....1...111..1...1..................................................................................... Fnd ....1.............................1....1.1..................................................................................... Fnnd .....1............................1.....11..................................................................................... Pbmep .............................................................................................................11.......1........ Pimep .......................................................................................................1.1..11............1.... Thm_eff ......1.......................................................................1.......................11.....1............11... Vol_eff ......1............................................................................111111.........1111....1.................1.. Sv ............................................................................111............................................1... Z-fact ......1.....................................................................11.1.1.............1..........1.................... Cs ...................................................................................11....1.....111............................. Map ...1......................................................................................................111...............1.. Fmep_oil ......1.....................................................................11....1................................1........... Fmep_h2o ......1.................................................................1...........................................1.1........ Fmep_pu ......1.....................................................................11.111..........................1..1............... Fmep_mbg ......1.....................................................................11....1.........111..................1............. Fmep_pst ...1..1.....................................................................111...........11....................1.............. Fmep_vt ......1.....................................................................11.1..................................1..1......... Fmep ..............................................................................................................1111111.......... Fuel_flo ...1..1.....................................................................11....1....................1.1..............1...... Air-fuel ...1..1................................................................................................1....................... EGR ...1..1...................................................................1...........................1........................ NOx_flow ......1.....................................................................11....1..........................1.........1.1..... Tman ......................................................................................................1..1..................... Residual ...1..................................................................................................1................1....... Burn_rat ...1..1....................................................................111.........................1.1.............1....... Nstall .................1..............................................1.....1........................................................ GB_effic ........1.........1............................1.....1......................................................................... Tchurn ........1...........1................................1......................................................................... Gear_st ...1....1............................................1......................................................................... Gear_rat ................................................1.1..1....111.................................................................. Gear_sp .................................................11.......1.................................................................... Stall_cp .............................................................1..1.............................................................. Stall_r .............................................................1....1............................................................ TC-capa ......1........1.1..............................................11............................................................. TC_ratio .................1................................................11...1....................................................... Dc .............................................................1.......1......................................................... f ...1..1.....................................................................11....1....................1.1..............1...... g1 1.....1.....................................................................11....1..........................1.........1.1..... g2 ..1...................1.....11.1..1...........1................................................................................ g3 ..1...................1.....11.1..1...........1................................................................................ g4 ..1...................1.....11.1..1...........1................................................................................ g5 ................1.......1...11....1.......1....1......11..1.......1............................................................ g6 ................1........1..11....1.......1....1..1...11....................................................................... g7 ......1.........1.............................................................................................................. g8 ............................................................................1.1................................................ g9 ...........................................................................1................................................... g12 ..........................................................11................................................................... g13 ..........................................................11................................................................... g14 ...........................................................11.................................................................. g15 ...........................................................11.................................................................. g16 ..................................................1.......1.................................................................... g17 ..................................................1.......1.................................................................... g18 ............................................................................11................................................. g19 ............................................................................11................................................. g20 ............................................................................11................................................. g21 ............................................................................11................................................. g22 ...............................................................................11.............................................. g23 ...............................................................................11.............................................. g24 ...............................................................................11.............................................. g25 ....................................................................................11......................................... g26 ...................................................................................11..1....................................... g27 .....................................................................................11.1...................................... h1 ............................................................................1...............1.................................. h2 ............................................................................1................1................................. h3 ............................................................................1.............1.................................... h4 ............................................................................1..............1................................... 0 Te 0........................1...22..312322.3..3..2...........33......1.......2222......1111 1 Tacc 01..................................................................................... 2 Ti 0.1..........................................1.......11............................... 3 Rs 0...1........................................111....1................................ 4 Tgb 01..1......................................11......13............................... 5 Tfd 0112.1.....................................21.1...........11....................... 6 Td 0..12..2.................................................22....................... 7 Nt 011......................................1111.................................... 8 dNt 0.1........................................1.................................... 9 Nds 01.1..1...............................................11....................... 10 dNds 0..1.................................................11....................... 11 Mu 012.......................................................................... 12 S 02.3.11............................................11....................... 13 Fd 012.......1....................................11111....................... 14 Acc 012.1...311...................................77733....................... 15 Froll 0.21....11...................................11122....................... 16 Grade 0...11211...................................22211....................... 17 Croll 01..................................................................... 18 Faero 01..1.....................................11111....................... 19 Area 0..1................................................................. 20 Wd 0221................................................................ 21 Wnd 02.1............................................................... 22 Dwd 022...................................33322....................... 23 Fnd 02...................................11111....................... 24 Fnnd 0...................................11111....................... 25 Pbmep 011......1....1...1...............1............................ 26 Pimep 03....1..1....21.11.2...........21............................ 27 Thm_eff 0.2.......1..1111111...........11......1..................... 28 Vol_eff 0.122................................................233.... 29 Sv 02..2.2232.2..2..2...........22......2.......2222......1111 30 Z-fact 0112.4223.2..2..2...........22......1.......2222111...1111 31 Cs 0.................................................12..... 32 Map 0..1.................................................... 33 Fmep_oil 0.232213..3..2...........33......1.......2222......1111 34 Fmep_h2o 0....1................................................ 35 Fmep_pu 022312..2..2...........22......1.......2222222...1111 36 Fmep_mbg 02213..3..2...........33......1.......2222......2211 37 Fmep_pst 0212..2..2...........22......2.......2222......1122 38 Fmep_vt 012..2..2...........22......1.......2222111...1111 39 Fmep 0................................................ 40 Fuel_flo 01.31.4...........63......1.......2222......1111 41 Air-fuel 0....1...........1............................. 42 EGR 0.11.......................................... 43 NOx_flow 0.13...........36......1.......2222......1111 44 Tman 011...........1............................. 45 Residual 01............1............................ 46 Burn_rat 0...........43......11......2222......1111 47 Nstall 0.....1.21............................... 48 GB_effic 0221...........11....................... 49 Tchurn 021.................................... 50 Gear_st 01.................................... 51 Gear_rat 02..........11...222222.............. 52 Gear_sp 0..........11...11..22.............. 53 Stall_cp 011.1.............................. 54 Stall_r 0.11.....1........................ 55 TC-capa 01............................... 56 TC_ratio 0......1........................ 57 Dc 0.............................. 58 f 03......1.......2222......1111 59 g1 0......1.......2222......1111 60 g2 07733....................... 61 g3 0733....................... 62 g4 033....................... 63 g5 07...11..11.............. 64 g6 0.......11.............. 65 g7 0...................... 66 g8 0.......1111......1111 67 g9 0.................... 68 g12 021111.............. 69 g13 01111.............. 70 g14 02................ 71 g15 0................ 72 g16 02.............. 73 g17 0.............. 74 g18 0222......1111 75 g19 022......1111 76 g20 02......1111 77 g21 0......1111 78 g22 022....... 79 g23 02....... 80 g24 0....... 81 g25 011.... 82 g26 0..... 83 g27 0.... 84 h1 0111 85 h2 011 86 h3 01 87 h4 0 Figure 9. FDT and graph of FDT for vehicle design problem.
Partitioned Graph Resultant FDT 1110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111111111111111111111110 2200000000001111111111222222222233333333334444444444555555555566666666667777777777888888888899999999990000000001111111111222220 6541234567890123456789012345678901234567890123456789012345678901234567890132456789012345678901234567890123567890123456789012340 1 Tacc 01...................................................................................... 2 Ti 01..............................111.................................................... 4 Tgb 01....1...1....................113.................................................... 5 Tfd 01.1.21.121...............1.......1.................................................. 6 Td 01.......22..............2.......2.................................................. 9 Nds 01......1..11...........1.......1.................................................. 7 Nt 0111111........................................................................... 3 Rs 0111.......................1..................................................... 48 GB_effic 0221.................1.......1.................................................. 49 Tchurn 021............................................................................ 50 Gear_st 01............................................................................ 51 Gear_rat 01................1......21222222............................................ 8 dNt 01.......................................................................... 10 dNds 01..............1.......1.................................................. 13 Fd 02221.....11.111.......1.................................................. 11 Mu 01....................................................................... 12 S 03.....1.....1.......1.......1.......................................... 15 Froll 01....1111112.......2.......2.......................................... 14 Acc 02..31711773.......3.................................................. 16 Grade 0112.211221.......1.................................................. 20 Wd 022..1.............................................................. 21 Wnd 02...1............................................................. 22 Dwd 01322332.......2......1........................................... 18 Faero 01..111.......1......11.......................................... 60 g2 011773.......3.................................................. 23 Fnd 02111.......1.................................................. 24 Fnnd 0111.......1.................................................. 61 g3 073.......3.................................................. 62 g4 03.......3.................................................. 63 g5 01....1171111.............................................. 54 Stall_r 011..1.................................................... 53 Stall_cp 0111..................................................... 57 Dc 0....................................................... 47 Nstall 021.................................................... 55 TC-capa 01.................................................... 56 TC_ratio 0.................................................... 52 Gear_sp 012112.............................................. 64 g6 01..1.............................................. 72 g16 0112.............................................. 68 g12 02111............................................ 69 g13 0111............................................ 73 g17 0.............................................. 70 g14 02............................................ 71 g15 0............................................ 19 Area 0........................................... 17 Croll 0.......................................... 0 Te 01..22..23322...3.2.3...33122221111.1..... 25 Pbmep 011................1....1.........11..... 26 Pimep 03...11.......212.1..121................ 27 Thm_eff 02......1....111.1111111............... 29 Sv 02..22232...2.2.2...22222221111....... 30 Z-fact 011422231112.2.2...22122221111..1.... 28 Vol_eff 02.............................2233. 32 Map 01................................. 35 Fmep_pu 022232222.2.2...221222211111...... 33 Fmep_oil 0322...3.2.3...331222211111...... 36 Fmep_mbg 022...3.2.3...331222222111...... 37 Fmep_pst 02...2.2.2...222222211221...... 38 Fmep_vt 01112.2.2...221222211111...... 78 g22 022.......................... 79 g23 02.......................... 80 g24 0.......................... 40 Fuel_flo 014.3..163122221111....... 41 Air-fuel 01.....1................. 46 Burn_rat 0131.143122221111....... 67 g9 0...................... 43 NOx_flow 01..36122221111....... 45 Residual 011.1................ 42 EGR 01.................. 44 Tman 01................. 58 f 03122221111....... 59 g1 0122221111....... 66 g8 011111111....... 74 g18 02221111....... 75 g19 0221111....... 76 g20 021111....... 77 g21 01111....... 84 h1 0111....... 85 h2 011....... 86 h3 01....... 87 h4 0....... 39 Fmep 01..... 34 Fmep_h2o 0..... 31 Cs 01.2. 81 g25 011. 83 g27 0.. 82 g26 0. 65 g7 0 TTTVdpFFNdNdNdNdSRTTTTTTFaaVACFFCFHHMLLLSWWDrmmIIhxxxInihxIIxxxaIIKKRRIDNTINFqbscddnniieeieCdldlnCCCLDLDRRTZdpPPPPPPPPvPRddhShh nba VinneNtNdNdN seigfcdd sc darrgca dnwwdnWeo dnggs4gggfffd123ttio ttecstape0 rievcvvvvllsbbbbbsmpmmmmeam piiffffffftbrmmtvvc bdc / dn e tsd d bdh eoorg d dd dbbp beeddds o t cpg ocociitrrmmm iieegf ttmmppmvohymefn a d c d d / / s / rlla a aa a c r9 ffi r eeurbti2pes/o t t d d / d olld n rr l 0 ttf pp loepfdx t t d t e s l f t/ Tacc ..1............................................................................................................................ Ti ..1......1.........1.............................................1....1...1.................................................... Tgb ...........1.......11...........................................1....1...1..................................................... Tfd .............1......111..........................11..1.....1................................................................... Td ...............1.....1.1................................111.................................................................... Nds ............1.1..........................................1..................................................................... Nt ..........1.1.....................................1............................................................................ Rs ..........1......1............................................................................................................. GB_effic ..........1.........1............................1.....1....................................................................... Tchurn ..........1...........1................................1....................................................................... Gear_st ..........1............................................1....................................................................... Gear_rat ..................................................1.1..1....111................................................................ dNt ...........1.1....................................1............................................................................ dNds .............1.1.........................................1..................................................................... Fd ......1........11......11...................1.11............................................................................... Mu ................1............................11................................................................................ S ...1..........1.1...........................1.................................................................................. Froll 11.1..11......1................11...........1.................................................................................. Acc ....1...................1.....11.1..1...........1.............................................................................. Grade .........................1.......1..1.......................................................................................... Wd .........................1............11.1..................................................................................... Wnd .........................1...........1.1..1.................................................................................... Dwd ....1....................1....1...111..1...1................................................................................... Faero ...1........................111................................................................................................ g2 ....1...................1.....11.1..1...........1.............................................................................. Fnd ......1.............................1....1.1................................................................................... Fnnd .......1............................1.....11................................................................................... g3 ....1...................1.....11.1..1...........1.............................................................................. g4 ....1...................1.....11.1..1...........1.............................................................................. g5 ..........................1...11....1.......1....1......11..1.......1.......................................................... Stall_r ...............................................................1....1.......................................................... Stall_cp ...............................................................1..1............................................................ Dc ...............................................................1.......1....................................................... Nstall ...................1..............................................1.....1...................................................... TC-capa .................1.1..............................................11........................................................... TC_ratio ...................1................................................11...1..................................................... Gear_sp ...................................................11.......1.................................................................. g6 ...........................1..11....1.......1....1..1...11..................................................................... g16 ....................................................1.......1.................................................................. g12 ............................................................11................................................................. g13 ............................................................11................................................................. g17 ....................................................1.......1.................................................................. g14 .............................................................11................................................................ g15 .............................................................11................................................................ Area ............................1......1....1...................................................................................... Croll ...1............................1.............................................................................................. Te ..............................................................................11....1..................................1....... Pbmep ..............................................................................................................11.......1....... Pimep .........................................................................................................11..11............1... Thm_eff ................................................................................1.......................11....1............11.. Sv ..............................................................................111...........................................1.. Z-fact ..............................................................................11.1.1.............1.........1................... Vol_eff .....................................................................................111111.........1111...1.................1. Map ...........................................................................................................111...............1. Fmep_pu ..............................................................................11.111.........................1..1.............. Fmep_oil ..............................................................................11....1...............................1.......... Fmep_mbg ..............................................................................11....1.........111.................1............ Fmep_pst ..............................................................................111...........11...................1............. Fmep_vt ..............................................................................11.1.................................1..1........ g22 .................................................................................11............................................ g23 .................................................................................11............................................ g24 .................................................................................11............................................ Fuel_flo ..............................................................................11....1....................11..............1..... Air-fuel .........................................................................................................1..................... Burn_rat .............................................................................111.........................11.............1...... g9 .............................................................................1................................................. NOx_flow ..............................................................................11....1.........................1.........1.1.... Residual ........................................................................................................1...............1...... EGR ............................................................................1...........................1...................... Tman ........................................................................................................1.1.................... f ..............................................................................11....1....................11..............1..... g1 ..............................................................................11....1.........................1.........1.1...1 g8 ..............................................................................1.1.............................................. g18 ..............................................................................11............................................... g19 ..............................................................................11............................................... g20 ..............................................................................11............................................... g21 ..............................................................................11............................................... h1 ..............................................................................1...............1................................ h2 ..............................................................................1................1............................... h3 ..............................................................................1.............1.................................. h4 ..............................................................................1..............1................................. Fmep ...............................................................................................................1111111......... Fmep_h2o ...........................................................................1.........................................1.1....... Cs .....................................................................................11....1.....111........................... g25 ......................................................................................11....................................... g27 .......................................................................................11.1.................................... g26 .....................................................................................11..1..................................... g7 ............................................................................................................................... Figure 10. Partitioned graph and resulting FDT; y = (T e , N e , p i ) is temporarily removed from FDT.
Page 1 and 2: UNIVERSITY OF MICHIGAN DEPARTMENT O
Page 3 and 4: epresentation facilitates decomposi
Page 5 and 6: of changes in these parameters on t
Page 7 and 8: The U.S. metro-highway fuel economy
Page 9 and 10: Powertrain Relationships The princi
Page 11 and 12: N ds = ξ fd N d (23) dN ds /dt =
Page 13 and 14: to be stalled (Rs = 0). Equation (3
Page 15 and 16: the surface-to-volume ratio at a vo
Page 17 and 18: intake and exhaust valve, and acros
Page 19 and 20: driveability. These values are stor
Page 21 and 22: τ dV τ 0-60 = τ :⌡ ⌠ dt dt =
Page 23 and 24: There are also several geometric co
Page 25 and 26: g 13 : ξ 1 / ξ 2 - 2.0 ≤ 0 Step
Page 27 and 28: x 2 h 2 (y, x 2 ) = 0 h 2 ( x 2 )=
Page 29 and 30: Master Problem Subproblem min f(y,
Page 31 and 32: 6 COORDINATED OPTIMIZATION SOLUTION
Page 33 and 34: educes fuel flow by 1.3%; the const
Page 35 and 36: Assanis, D.N., and Polishak, M. 198
Page 37 and 38: Patton, K.J., Nitschke, R.G., and H
Page 39 and 40: DECOMPOSITION ANALYSIS MODEL -BASED
Page 41 and 42: Master Problem Subproblem (i = 1, .
Page 43: 1 2 Impeller Stator Vortex flow dir
Page 47 and 48: Table I Summary of Coordination Str
Page 49 and 50: Index Variable Partition Descriptio
Page 51 and 52: Index Variable Partition Descriptio
Page 53 and 54: 23 Fnd Fnd - ( Wd M g - ∆Wd) (fro
Page 55 and 56: 66 67 68 69 70 71 72 73 74 75 76 77
Page 57 and 58: Appendix B: Parameters in Optimizat
Page 59 and 60: Impeller Driving Table B.4: Base to
Page 61 and 62: Table B.8: Accessory losses. Amps @

Decomposition Analysis of an Automotive Powertrain Design ...

You also want an ePaper? Increase the reach of your titles

Delete template?

Save as template?