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Modeling and Analysis of the Battery
Packs and Modules in A123 Systems
Binshan Ye & Shawn Zhang
A123 Systems, Inc.
Outline


• Overview of CAE capacity in A123

• CAE Modeling and Analysis Examples

   •   Random vibration fatigue analysis with HWPA program (DesignLife)

   •   Cell material properties characterizing with HyperStudy

• Concluding Remarks
A123 Engineering Simulation Capability

                                     A123 Systems
                                 Engineering Simulation



 CFD and Thermal Management       Battery Life Analysis          Finite Element Analysis


         Cooling Concept                                              Linear Statics and
                                       Battery Life Estimation
         Development and                                              Modal Frequency
                                       Software Development
            Validation

                                                                    Random Vibration and
      Module and Pack Level                                              Fatigue
     Thermal and Flow Analysis          Battery Life Analysis

                                                                    Mechanical Shock and
        Thermal/Electrical               Battery Electrical            Drop Analysis
      Coupling (Joule Heating)        Performance Simulation

                                                                       Nonlinear Statics
        Thermal Analysis for
            Electronics
                                      Cell R&D and
                                     External Supplier
Pack and Module Level FEA Analysis


• Linear Statics and modal frequency analysis
    •   Modal frequency analysis
    •   Foot/knee load, handle load, and lifting assistance analysis
    •   Topology/topography/shape/gauge optimization
• Random vibration stress and fatigue analysis
    •   RMS stress calculation
    •   Fatigue life calculation for metal parts
• Mechanical shock, pothole, and drop analysis
• Nonlinear and contact analysis
    •   Snap-in/pull-out force estimation
    •   Jack loading analysis
    •   Bolt assembly, module pressure plate, etc.
FEA Tools Used in A123 Systems


• Altair HyperWorks Suite
    •   Radioss/Bulk
    •   Radioss/Block
    •   OptiStruct
    •   HyperStudy
• LS-DYNA3D
• ABAQUS (Implicit/Explicit)
• Access to other software through HyperWorks Partner Alliance License
    •   nCode DesignLife
    •   Key to Metals
    •   Others
• Altair PBS Pro
Random Vibration Analysis
on Battery Pack
Battery Pack Vibration Analysis

• A123 conducts random vibration stress and fatigue analysis according
  to customer specifications or industrial standards
• Approach
    •   Use Radioss/Bulk to calculate RMS stresses from the PSD profiles
    •   Estimate fatigue life using nCode DesignLife if necessary




                                SAE J2380 PSD Profiles
Example – Random Vibration Analysis

• A prototype battery pack had a test failure on mounting brackets during
  random vibration test
• The analysis team was involved to identify the root causes of the
  failures and find the solution in a limited time frame
Challenges


• A few locations on mounting brackets showed fatigue cracks

• Initial random vibration stress analysis showed the failure locations
  have high RMS stress during vibration events, but it cannot
  accurately quantify the fatigue life

• The fatigue properties for the metal components were unknown

• Project timing and budget won’t allow performing material test to
  obtain the fatigue properties
Correlating the Fatigue Properties

• nCode DesignLife was used to evaluate the fatigue life of metal
  components:
    •   The stress-life properties were estimated in DesignLife based on material specs
    •   Random vibration fatigue engine was used to estimate the fatigue life of the metal
        components
    •   The fatigue properties and analysis parameters were then adjusted to correlate
        the analysis results with test results




                                                     Material Stress Life Curve
         Vibration Fatigue Analysis Engine
Result Comparisons

• With correlated fatigue properties, the analysis identified all test failure
  locations:
    •   The failure locations have relatively high RMS stresses comparing to material specs
    •   The fatigue lives in these locations are lower than the requirement




                             90% of required life                       10% of required life




        3 RMS stress : 55% of material σuts         3 RMS stress: 72% of material σuts
        Fatigue life: 90% of the required life      Fatigue life: 10% of required life
Improve the Design Through Analysis

• Based on the analysis results, new design concepts were proposed:
   •   Change the shape of the components
   •   Add reinforcement brackets
   •   Change welding patterns
• New pack design passed the random vibration fatigue analysis
• These design changes were implemented and the new pack went
  through random vibration test without fatigue issue




                   Infinite                    65 lives
Prismatic Cell material
Property Characterization
Challenges for Battery Module Modeling


•   Modal frequency is critical for battery
    pack design, and battery modules
    play a significant role

•   Cell property largely unknown

•   Ideally, we would like to use a simple
    homogenized model to represent the
    complex structure of the module
    (cells, heat sinks, and bands)

•   The first few modal frequencies of the
    module model should meet the test
    results
Two Module Modeling Approaches

•   Homogenized model                          •   Detailed model
     •   Cell, heat sink, compliance pad are        •   Each component is modeled in detail with
         homogenized into blocks                        corresponding material properties
     •   End plate is modeled with shell            •   End plate is modeled in detail with shell
         elements as one plane sheet                    elements
     •   Module bolt is modeled with beam           •   Module bolt is modeled with beam
         elements                                       elements
     •   All materials are isotropic           •   Pro and Cons:
•   Pros and Cons:                                  •   Can better predict module dynamic
     •   Can be quick modeled and use very              behavior
         little CPU time                            •   Long modeling time due to complexity of
     •   Accuracy is compromised due to                 the module
         simplification                             •   High CPU and memory costs
Hybrid Module Modeling Approach




                    Z
                                                                Z
                         X
                                                                     Y




• Endplate modeled in detail by shell element
• Bolt was modeled by beam element with rod section
• Cell, heat sink, cell compliance pad, band were homogenized into a 3-d
  orthotropic material
• Local coordinate system was used for the orthotropic material modeling
Characterizing the Material


• Three modules were tested with free-free and fixed BC
    •   Large size module, medium size module, and small size module
• For free-free boundary condition, the first 3 modes from test were used
  for FEA model correlation
• For fixed boundary condition, the first 5 modes from test were used in
  FEA model correlation
• Homogenized orthotropic material was formulated using the following
  engineering constants
Characterizing the Material


• Goal was to adjust E1, E2, E3, G12, G13, G23 to correlate both the
  mode shapes and frequencies with test results.
• Observations during initial evaluation:
    •   Some Eii, Gij, and vij have strong influence to long and medium size modules’
        modal frequencies;
    •   Other Eii, Gij, and vij have significant effect to small module modal frequencies
    •   The remaining Eii, Gij, and vij have little effect to the first 3 modal frequencies at
        all. In that case, they are assigned to zero, leading to a simple material matrix
• Material parameters were first manually adjusted to match modal
  shapes in order.
• Then HyperStudy was used to match first 3 frequencies more closely
Modal Correlation


• HyperStudy
Modal Correlation


• HyperStudy
Modal Correlation


• HyperStudy
Results Correlations


 Table-1: Relative Deviations of Estimated Modal Frequencies from Test Results under free-free condition

   Free-free BC             1st Mode          2nd Mode          3rd Mode
   Large module                0.6%               .48%              0.%
  Medium module                3.3%               2.7%             1.5%
    Small module               .27%               5.9%             2.8%


 Table-2: Relative Deviations of Estimated Modal Frequencies from Test Results under fixed condition

      Fixed BC               1st Mode          2nd Mode          3rd Mode          4th Mode            5th Mode
    Large module                4.5%              10.7%             1.6%              2.1%                 0.3 %
  Medium module                 1.5%              9.5%              8.1%              17.5%                24.2%
    Small module                0.1%               7%               8.1%                --                  --
Illustration of Typical Module Mode
Summary of Hybrid Module Model


• This hybrid module model was a compromise among all 3 size modules,
  with deviation within 5% in free-free boundary condition
• The hybrid module model was more skewed to large size modules
  because for small size modules, the first frequency is very high already,
  making them less sensitive to external vibration.
• By using such approach, a battery module for pack analysis can be
  quickly modeled and still achieve good analytical results
Concluding Remarks


• A123 has a broad range of engineering simulation capabilities to
  support battery pack/module development activities

• Altair’s HyperWorks Suite and HWPA are the best cost-effective tools to
  match A123’s FEA simulation requirements

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Modeling and Analysis of the Battery Packs and Modules in A123 Systems

  • 1. Modeling and Analysis of the Battery Packs and Modules in A123 Systems Binshan Ye & Shawn Zhang A123 Systems, Inc.
  • 2. Outline • Overview of CAE capacity in A123 • CAE Modeling and Analysis Examples • Random vibration fatigue analysis with HWPA program (DesignLife) • Cell material properties characterizing with HyperStudy • Concluding Remarks
  • 3. A123 Engineering Simulation Capability A123 Systems Engineering Simulation CFD and Thermal Management Battery Life Analysis Finite Element Analysis Cooling Concept Linear Statics and Battery Life Estimation Development and Modal Frequency Software Development Validation Random Vibration and Module and Pack Level Fatigue Thermal and Flow Analysis Battery Life Analysis Mechanical Shock and Thermal/Electrical Battery Electrical Drop Analysis Coupling (Joule Heating) Performance Simulation Nonlinear Statics Thermal Analysis for Electronics Cell R&D and External Supplier
  • 4. Pack and Module Level FEA Analysis • Linear Statics and modal frequency analysis • Modal frequency analysis • Foot/knee load, handle load, and lifting assistance analysis • Topology/topography/shape/gauge optimization • Random vibration stress and fatigue analysis • RMS stress calculation • Fatigue life calculation for metal parts • Mechanical shock, pothole, and drop analysis • Nonlinear and contact analysis • Snap-in/pull-out force estimation • Jack loading analysis • Bolt assembly, module pressure plate, etc.
  • 5. FEA Tools Used in A123 Systems • Altair HyperWorks Suite • Radioss/Bulk • Radioss/Block • OptiStruct • HyperStudy • LS-DYNA3D • ABAQUS (Implicit/Explicit) • Access to other software through HyperWorks Partner Alliance License • nCode DesignLife • Key to Metals • Others • Altair PBS Pro
  • 7. Battery Pack Vibration Analysis • A123 conducts random vibration stress and fatigue analysis according to customer specifications or industrial standards • Approach • Use Radioss/Bulk to calculate RMS stresses from the PSD profiles • Estimate fatigue life using nCode DesignLife if necessary SAE J2380 PSD Profiles
  • 8. Example – Random Vibration Analysis • A prototype battery pack had a test failure on mounting brackets during random vibration test • The analysis team was involved to identify the root causes of the failures and find the solution in a limited time frame
  • 9. Challenges • A few locations on mounting brackets showed fatigue cracks • Initial random vibration stress analysis showed the failure locations have high RMS stress during vibration events, but it cannot accurately quantify the fatigue life • The fatigue properties for the metal components were unknown • Project timing and budget won’t allow performing material test to obtain the fatigue properties
  • 10. Correlating the Fatigue Properties • nCode DesignLife was used to evaluate the fatigue life of metal components: • The stress-life properties were estimated in DesignLife based on material specs • Random vibration fatigue engine was used to estimate the fatigue life of the metal components • The fatigue properties and analysis parameters were then adjusted to correlate the analysis results with test results Material Stress Life Curve Vibration Fatigue Analysis Engine
  • 11. Result Comparisons • With correlated fatigue properties, the analysis identified all test failure locations: • The failure locations have relatively high RMS stresses comparing to material specs • The fatigue lives in these locations are lower than the requirement 90% of required life 10% of required life 3 RMS stress : 55% of material σuts 3 RMS stress: 72% of material σuts Fatigue life: 90% of the required life Fatigue life: 10% of required life
  • 12. Improve the Design Through Analysis • Based on the analysis results, new design concepts were proposed: • Change the shape of the components • Add reinforcement brackets • Change welding patterns • New pack design passed the random vibration fatigue analysis • These design changes were implemented and the new pack went through random vibration test without fatigue issue Infinite 65 lives
  • 14. Challenges for Battery Module Modeling • Modal frequency is critical for battery pack design, and battery modules play a significant role • Cell property largely unknown • Ideally, we would like to use a simple homogenized model to represent the complex structure of the module (cells, heat sinks, and bands) • The first few modal frequencies of the module model should meet the test results
  • 15. Two Module Modeling Approaches • Homogenized model • Detailed model • Cell, heat sink, compliance pad are • Each component is modeled in detail with homogenized into blocks corresponding material properties • End plate is modeled with shell • End plate is modeled in detail with shell elements as one plane sheet elements • Module bolt is modeled with beam • Module bolt is modeled with beam elements elements • All materials are isotropic • Pro and Cons: • Pros and Cons: • Can better predict module dynamic • Can be quick modeled and use very behavior little CPU time • Long modeling time due to complexity of • Accuracy is compromised due to the module simplification • High CPU and memory costs
  • 16. Hybrid Module Modeling Approach Z Z X Y • Endplate modeled in detail by shell element • Bolt was modeled by beam element with rod section • Cell, heat sink, cell compliance pad, band were homogenized into a 3-d orthotropic material • Local coordinate system was used for the orthotropic material modeling
  • 17. Characterizing the Material • Three modules were tested with free-free and fixed BC • Large size module, medium size module, and small size module • For free-free boundary condition, the first 3 modes from test were used for FEA model correlation • For fixed boundary condition, the first 5 modes from test were used in FEA model correlation • Homogenized orthotropic material was formulated using the following engineering constants
  • 18. Characterizing the Material • Goal was to adjust E1, E2, E3, G12, G13, G23 to correlate both the mode shapes and frequencies with test results. • Observations during initial evaluation: • Some Eii, Gij, and vij have strong influence to long and medium size modules’ modal frequencies; • Other Eii, Gij, and vij have significant effect to small module modal frequencies • The remaining Eii, Gij, and vij have little effect to the first 3 modal frequencies at all. In that case, they are assigned to zero, leading to a simple material matrix • Material parameters were first manually adjusted to match modal shapes in order. • Then HyperStudy was used to match first 3 frequencies more closely
  • 22. Results Correlations Table-1: Relative Deviations of Estimated Modal Frequencies from Test Results under free-free condition Free-free BC 1st Mode 2nd Mode 3rd Mode Large module 0.6% .48% 0.% Medium module 3.3% 2.7% 1.5% Small module .27% 5.9% 2.8% Table-2: Relative Deviations of Estimated Modal Frequencies from Test Results under fixed condition Fixed BC 1st Mode 2nd Mode 3rd Mode 4th Mode 5th Mode Large module 4.5% 10.7% 1.6% 2.1% 0.3 % Medium module 1.5% 9.5% 8.1% 17.5% 24.2% Small module 0.1% 7% 8.1% -- --
  • 23. Illustration of Typical Module Mode
  • 24. Summary of Hybrid Module Model • This hybrid module model was a compromise among all 3 size modules, with deviation within 5% in free-free boundary condition • The hybrid module model was more skewed to large size modules because for small size modules, the first frequency is very high already, making them less sensitive to external vibration. • By using such approach, a battery module for pack analysis can be quickly modeled and still achieve good analytical results
  • 25. Concluding Remarks • A123 has a broad range of engineering simulation capabilities to support battery pack/module development activities • Altair’s HyperWorks Suite and HWPA are the best cost-effective tools to match A123’s FEA simulation requirements