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Model Based
Model-Based Calibration Toolbox JumpStart
Service
SI Turbocharged Engine With Dual-Independent Variable Cam-Phasing
and Continuously Variable Intake Valve Lift




                                                                                   orks, Inc.
                                                                     © 20 The MathWo
                                                                        009
                                          The MathWorks Consulting
Course Problem Statement
   Given a 2.2L turbocharged 4-valve DOHC spark ignition engine with
    dual-independent
    dual independent variable cam phasing and continuously variable
    intake valve lift control


   Maximize Torque across the speed/load range of the engine subject to
    the following constraints:
        Turbocharger speed less than 160,000 RPM
        Engine-out exhaust temperature less than 840C
        AFR constrained to stoichiometry in a user-specified speed/load region




                                                                                                hWorks, Inc.
   Produce corresponding optimal calibration tables in speed and load for
        Best spark timing




                                                                                  © 2009 The Math
        Best intake cam advance angle
        Best exhaust cam retard angle
        Best AFR
        Best feed-forward intake valve lift position
        Best feed-forward variable geometry turbocharger vane position percent
                                                                                          2
Preview of Course Calibration Results




                                                      hWorks, Inc.
                                        © 2009 The Math
            Spark Advance
                                                3
Preview of Course Calibration Results




                                                      hWorks, Inc.
                                        © 2009 The Math
         Intake Cam Advance
                                                4
Preview of Course Calibration Results




                                                      hWorks, Inc.
                                        © 2009 The Math
         Exhaust Cam Retard
                                                5
Preview of Course Calibration Results




                                                      hWorks, Inc.
                                        © 2009 The Math
          Intake Valve Lift
                                                6
Preview of Course Calibration Results




                                                      hWorks, Inc.
                                        © 2009 The Math
      VGT Vane Open Fraction
                                                7
Preview of Course Calibration Results




                                                      hWorks, Inc.
                                        © 2009 The Math
           Air/Fuel Ratio
                                                8
Test Configuration
                I/O of Turbocharged 2.2L DOHC Engine with
       Dual-Independent Continuously Variable Cam Phasing (DIVCP)
             and Continuously Variable Intake Valve Lift (CVIVL)
      Intake VCP                                    Brake Torque
   Exhaust VCP
 Spark Advance
                                                    Turbocharger Speed

           RPM                                       Intake Manifold Pressure
AFR
                                                     Exhaust Temperature
  Intake Valve Lift
 VGT Vane Fraction                                   Load
                                                     L d




                                                                                         hWorks, Inc.
                          Closed Loop
                          Closed-Loop




                                                                           © 2009 The Math
Load Command             Load Controller

                       Temperature-Limited
                      AFR and Spark Control
AFR Command

                                                                                   9
Model Configuration
                  I/O of Turbocharged 2.2L DOHC Engine Model with
                 Dual-Independent Continuously Variable Cam Phasing
                       and Continuously Variable Intake Valve Lift


    Table        RPM                                Brake Torque Objective
 Breakpoints
                 Load                               Exhaust Temperature Constraints
         Intake VCP                                 Turbocharger Speed
                                                    VGT Open Fraction Optimal Tables
      Exhaust VCP
                                                    Intake Valve Lift
              AFR
                                                     Intake Manifold Pressure




                                                                                                      hWorks, Inc.
    Spark Advance

Optimal Tables                                                        Auxiliary Table




                                                                                        © 2009 The Math
     Maximize Torque subject to exhaust temperature, turbocharger speed,
     and user-specified AFR Constraints

                                                                                        10
MBC Toolbox Calibration Process



DOE Design   Data Collection   Data Modeling




                                                              hWorks, Inc.
                                                © 2009 The Math
              Calibration      Implementation

                                                11
Agenda
 Introduction
 Design of experiments
 Loading and sorting data
 Building models of engine responses




                                                      hWorks, Inc.
 Producing optimized calibrations




                                        © 2009 The Math
 Review


                                        12
Review Merged Experiment




     © 2009 The Math
                   hWorks, Inc.
13
Temperature Limited
Temperature-Limited AFR and Spark Control Method


                                            840C
                                        Exhaust Temp
                     Spark Retard         Limit Line                          12 : Fast Search
                     Limit Found                                              To Most Retard
                                                  3    Sweep to Knock Limit
AFR    Desired DoE
          AFR
                                                                              Spark at Desired AFR
                                    2
                                                                              23 : Slow Sweep
                                            1                                 To Knock-Limit



                                          x Start




                                                                                                               hWorks, Inc.
                                                                                                 © 2009 The Math
                Spark Advance DegBTDC
                                                                                               14
Agenda
   Introduction
   Design of experiments
   Loading and sorting data
   Building models of engine responses




                                                        hWorks, Inc.
   Producing optimized calibrations




                                          © 2009 The Math
   Review
    R i



                                          15
Merged 210pt Space Fill Data Ready for MBC Import
             Space-Fill




                                                                  hWorks, Inc.
                                                    © 2009 The Math
   SI_DIVCP_CVIVL_Turbo_I4_Merged_Data.xls
                                                    16
Load 210pt Merged Space Fill Data
                  Space-Fill
1       2




    3
                                    6




                                                      hWorks, Inc.
                        4




                                        © 2009 The Math
                  5




                                        17
Agenda
 Introduction
  I t d ti
 Design of experiments
       g       p
 Loading and sorting data
 Building models of engine responses




                                                      hWorks, Inc.
 Producing optimized calibrations




                                        © 2009 The Math
 Review



                                        18
1




     2
                                              3




                    5
                                                  Finish Model




     7
                                      4




                     6




         © 2009 The Math
                       hWorks, Inc.
19
Review Boundary Model
                             25
24




                                            hWorks, Inc.
                              © 2009 The Math
                              20
Review Final Model
                      2
                                                                             6

  1                             3



                                     4




                                                                                               hWorks, Inc.
                                                                                 © 2009 The Math
                                                         Extrapolation
                                                         Will Be Prevented
                                                     5   By Boundary
                                                         Model In
                                                         Optimization
Picture Courtesy US AutoParts                            Later

                                                                                 21
6
                                          Review Validation Fits

                                  7




     © 2009 The Math
                   hWorks, Inc.
22
Export Models For Other Users


                                4


                                                  Model Description

                                                           5
                                             Input Order




                                                                                hWorks, Inc.
Input Order:                    Brake Torque Value
Spark, Speed Load, ICP, ECP,
Spark Speed, Load ICP ECP AFR




                                                                  © 2009 The Math
                                                           6

                                Boundary Model Value
                                Values < 0 are within bounds


                                                                 23
Export Models For Other Users




                                                                hWorks, Inc.
Use Your Accurate, Fast
Torque Model in HIL




                                                  © 2009 The Math
Simulation Model
(See HIL_Model.mdl)




                                                  24
Agenda
 Introduction
 Design of experiments
 Loading and sorting data
 Building models of engine responses




                                                      hWorks, Inc.
 Producing optimized calibrations




                                        © 2009 The Math
 Review


                                        25
8-Step Process for Producing Optimized Calibrations
 1.   Import models of engine responses
        p                   g       p
 2.   Set up function-models
 3.   Set up tables and tradeoffs
 4.   Set up optimization and operating points
 5.   Run operating-point optimizations
 6.   Set
      S t up, initialize, and run sum optimization
              i iti li      d           ti i ti




                                                                    hWorks, Inc.
 7.   Review calibration sensitivity
 8.
 8    Review and export tables




                                                      © 2009 The Math
 9.   Validate calibration with measurements



                                                      26
Import Models of Engine Responses
                            Models are exported
1                            directly from the MBC
                             model browser

                            Load
                             SI_DIVCP_CVIVL_AllModels_Complete
                             in MBC Model Browser

                            Start CAGE tool by
        2                    entering >>cage at




                                                                               hWorks, Inc.
                             MATLAB prompt

                   3        Click “Import items from
                                    Import




                                                                 © 2009 The Math
                             another project” icon
            4      6



       5
                                                                 27
Set Up Tables and Tradeoffs

1
                2
                                      4


                      3




                                                        hWorks, Inc.
               9          6       7




                                          © 2009 The Math
             CTRL-V
     5
    CTRL-C
                                  8


                                          28
Set Up Optimization and Operating Points
    1
                            2



                                    3


        4




                                                         hWorks, Inc.
            5   6
                                8




                                           © 2009 The Math
                    7
                                           29
Set Up Initialize and Run Sum Optimization
    Up, Initialize,

                      1


         2
        3
                     5        6
         4




                                                           hWorks, Inc.
         8




                                             © 2009 The Math
                          9       7


                                             30
Set Up Initialize and Run Sum Optimization
    Up, Initialize,

                  2
     1


         9


                 10




                                                           hWorks, Inc.
     3




                                             © 2009 The Math
                           7
             4        5
                                6
                                    8
                                             31
Review Calibration Sensitivity
    2
1




          3




                                                       hWorks, Inc.
                                         © 2009 The Math
                                         32
Review and Export Tables




     © 2009 The Math
                   hWorks, Inc.
33
Review and Export Tables


 1




                                         hWorks, Inc.
                           © 2009 The Math
 2
     3
                           34
Validate Calibration With Measurements



                                    2




                                    3




                                                       hWorks, Inc.
                                         © 2009 The Math
                  1                  4



                                         35

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Spark Ignition Engine Calibration

  • 1. Model Based Model-Based Calibration Toolbox JumpStart Service SI Turbocharged Engine With Dual-Independent Variable Cam-Phasing and Continuously Variable Intake Valve Lift orks, Inc. © 20 The MathWo 009 The MathWorks Consulting
  • 2. Course Problem Statement  Given a 2.2L turbocharged 4-valve DOHC spark ignition engine with dual-independent dual independent variable cam phasing and continuously variable intake valve lift control  Maximize Torque across the speed/load range of the engine subject to the following constraints:  Turbocharger speed less than 160,000 RPM  Engine-out exhaust temperature less than 840C  AFR constrained to stoichiometry in a user-specified speed/load region hWorks, Inc.  Produce corresponding optimal calibration tables in speed and load for  Best spark timing © 2009 The Math  Best intake cam advance angle  Best exhaust cam retard angle  Best AFR  Best feed-forward intake valve lift position  Best feed-forward variable geometry turbocharger vane position percent 2
  • 3. Preview of Course Calibration Results hWorks, Inc. © 2009 The Math Spark Advance 3
  • 4. Preview of Course Calibration Results hWorks, Inc. © 2009 The Math Intake Cam Advance 4
  • 5. Preview of Course Calibration Results hWorks, Inc. © 2009 The Math Exhaust Cam Retard 5
  • 6. Preview of Course Calibration Results hWorks, Inc. © 2009 The Math Intake Valve Lift 6
  • 7. Preview of Course Calibration Results hWorks, Inc. © 2009 The Math VGT Vane Open Fraction 7
  • 8. Preview of Course Calibration Results hWorks, Inc. © 2009 The Math Air/Fuel Ratio 8
  • 9. Test Configuration I/O of Turbocharged 2.2L DOHC Engine with Dual-Independent Continuously Variable Cam Phasing (DIVCP) and Continuously Variable Intake Valve Lift (CVIVL) Intake VCP Brake Torque Exhaust VCP Spark Advance Turbocharger Speed RPM Intake Manifold Pressure AFR Exhaust Temperature Intake Valve Lift VGT Vane Fraction Load L d hWorks, Inc. Closed Loop Closed-Loop © 2009 The Math Load Command Load Controller Temperature-Limited AFR and Spark Control AFR Command 9
  • 10. Model Configuration I/O of Turbocharged 2.2L DOHC Engine Model with Dual-Independent Continuously Variable Cam Phasing and Continuously Variable Intake Valve Lift Table RPM Brake Torque Objective Breakpoints Load Exhaust Temperature Constraints Intake VCP Turbocharger Speed VGT Open Fraction Optimal Tables Exhaust VCP Intake Valve Lift AFR Intake Manifold Pressure hWorks, Inc. Spark Advance Optimal Tables Auxiliary Table © 2009 The Math Maximize Torque subject to exhaust temperature, turbocharger speed, and user-specified AFR Constraints 10
  • 11. MBC Toolbox Calibration Process DOE Design Data Collection Data Modeling hWorks, Inc. © 2009 The Math Calibration Implementation 11
  • 12. Agenda  Introduction  Design of experiments  Loading and sorting data  Building models of engine responses hWorks, Inc.  Producing optimized calibrations © 2009 The Math  Review 12
  • 13. Review Merged Experiment © 2009 The Math hWorks, Inc. 13
  • 14. Temperature Limited Temperature-Limited AFR and Spark Control Method 840C Exhaust Temp Spark Retard Limit Line 12 : Fast Search Limit Found To Most Retard 3 Sweep to Knock Limit AFR Desired DoE AFR Spark at Desired AFR 2 23 : Slow Sweep 1 To Knock-Limit x Start hWorks, Inc. © 2009 The Math Spark Advance DegBTDC 14
  • 15. Agenda  Introduction  Design of experiments  Loading and sorting data  Building models of engine responses hWorks, Inc.  Producing optimized calibrations © 2009 The Math  Review R i 15
  • 16. Merged 210pt Space Fill Data Ready for MBC Import Space-Fill hWorks, Inc. © 2009 The Math SI_DIVCP_CVIVL_Turbo_I4_Merged_Data.xls 16
  • 17. Load 210pt Merged Space Fill Data Space-Fill 1 2 3 6 hWorks, Inc. 4 © 2009 The Math 5 17
  • 18. Agenda  Introduction I t d ti  Design of experiments g p  Loading and sorting data  Building models of engine responses hWorks, Inc.  Producing optimized calibrations © 2009 The Math  Review 18
  • 19. 1 2 3 5 Finish Model 7 4 6 © 2009 The Math hWorks, Inc. 19
  • 20. Review Boundary Model 25 24 hWorks, Inc. © 2009 The Math 20
  • 21. Review Final Model 2 6 1 3 4 hWorks, Inc. © 2009 The Math Extrapolation Will Be Prevented 5 By Boundary Model In Optimization Picture Courtesy US AutoParts Later 21
  • 22. 6 Review Validation Fits 7 © 2009 The Math hWorks, Inc. 22
  • 23. Export Models For Other Users 4 Model Description 5 Input Order hWorks, Inc. Input Order: Brake Torque Value Spark, Speed Load, ICP, ECP, Spark Speed, Load ICP ECP AFR © 2009 The Math 6 Boundary Model Value Values < 0 are within bounds 23
  • 24. Export Models For Other Users hWorks, Inc. Use Your Accurate, Fast Torque Model in HIL © 2009 The Math Simulation Model (See HIL_Model.mdl) 24
  • 25. Agenda  Introduction  Design of experiments  Loading and sorting data  Building models of engine responses hWorks, Inc.  Producing optimized calibrations © 2009 The Math  Review 25
  • 26. 8-Step Process for Producing Optimized Calibrations 1. Import models of engine responses p g p 2. Set up function-models 3. Set up tables and tradeoffs 4. Set up optimization and operating points 5. Run operating-point optimizations 6. Set S t up, initialize, and run sum optimization i iti li d ti i ti hWorks, Inc. 7. Review calibration sensitivity 8. 8 Review and export tables © 2009 The Math 9. Validate calibration with measurements 26
  • 27. Import Models of Engine Responses  Models are exported 1 directly from the MBC model browser  Load SI_DIVCP_CVIVL_AllModels_Complete in MBC Model Browser  Start CAGE tool by 2 entering >>cage at hWorks, Inc. MATLAB prompt 3  Click “Import items from Import © 2009 The Math another project” icon 4 6 5 27
  • 28. Set Up Tables and Tradeoffs 1 2 4 3 hWorks, Inc. 9 6 7 © 2009 The Math CTRL-V 5 CTRL-C 8 28
  • 29. Set Up Optimization and Operating Points 1 2 3 4 hWorks, Inc. 5 6 8 © 2009 The Math 7 29
  • 30. Set Up Initialize and Run Sum Optimization Up, Initialize, 1 2 3 5 6 4 hWorks, Inc. 8 © 2009 The Math 9 7 30
  • 31. Set Up Initialize and Run Sum Optimization Up, Initialize, 2 1 9 10 hWorks, Inc. 3 © 2009 The Math 7 4 5 6 8 31
  • 32. Review Calibration Sensitivity 2 1 3 hWorks, Inc. © 2009 The Math 32
  • 33. Review and Export Tables © 2009 The Math hWorks, Inc. 33
  • 34. Review and Export Tables 1 hWorks, Inc. © 2009 The Math 2 3 34
  • 35. Validate Calibration With Measurements 2 3 hWorks, Inc. © 2009 The Math 1 4 35