Research Repot on A123 Battery Modeling

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    Research Repot on A123 Battery

    Modeling

    Task 4 Members:

    Faculty: Dr. Mo-Yuen Chow, Dr. Srdjan LukicResearch Assistants: Lei Wang, Arvind Govindaraj

    http://www.ncsu.edu/
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    Presentation Outline

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    Research Objectives

    Battery Properties

    Battery Model

    Future Research

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    Research Objectives

    Battery Modeling

    Develop Charging Algorithms

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    Presentation Outline

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    Research Objectives

    Overview of battery properties

    Battery Model

    Future Research

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    PHEV Battery Operation Modes

    Charge-depleting mode: vehicle uses battery poweruntil SOC reaches a predetermined level

    Charge-sustaining mode: uses both battery and engine

    power

    Blended mode: charge-depleting mode with enginepower to reach high speed

    Ex. 90% of time discharging,

    10% charging

    Ex. 30% discharging, 70%

    charging

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    A123 Lithium Ion ANR26650M1

    ANR26650M1 Datasheet AUGUST 2008

    25C, C/30

    < 20A tested

    SoH

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    A123 Lithium Ion ANR26650M1

    Not available

    Maximum discharge: 70A

    Model may fail at high discharge current due

    to irregular shape of the discharge curve

    Operating range: -30c to 60c

    Performance under different temperatures

    was not testedDischarge curve shape changes at extreme

    temperatures, thus may not be described by

    model equations

    First Step: Have a model that satisfies the nominal condition

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    Quantify Battery

    State of Charge (SoC): 100% > SoC > 0%

    SoC = (remaining capacity) / (capacity of fully chargedbattery)

    SoC = (remaining capacity) / (Total amount of usablecharge at a given C-rate)

    SoC = (CnQb) / Cn Cn: nominal capacity Qb: net discharge

    Remaining Capacity Usable Capacity

    Usable capacity depends on the cutoff voltage

    Usable capacity depends on the age of the battery

    Capacity of fully charged battery Total amount of usable

    charge at a given C-rate Cn (C/30)

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    Usable Capacity

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    0 1000 2000 3000 4000 5000 6000 7000 80002.6

    2.8

    3

    3.2

    3.4

    3.6

    3.8

    4

    Time (s)

    Voltage

    (v)

    T=7738s

    Discharge Rate = 1A7738s x 1A / 3600s = 2.149Ah

    0 200 400 600 800 1000 1200 1400 16001.8

    2

    2.2

    2.4

    2.6

    2.8

    3

    3.2

    3.4

    3.6

    Time (s)

    Voltage

    (v)

    Discharge Rate = 5A

    1537s x 5A / 3600s = 2.136Ah

    T=1537s

    0 100 200 300 400 500 600 700 8001.8

    2

    2.2

    2.4

    2.6

    2.8

    3

    3.2

    3.4

    3.6

    Time (s)

    Voltage

    (v)

    Discharge Rate = 10A

    1389s x 10A / 3600s = 2.1215Ah

    T=1389s

    0 50 100 150 200 250 300 350 4001.8

    2

    2.2

    2.4

    2.6

    2.8

    3

    Time (s)

    Voltage

    (v)

    Discharge Rate = 20A

    683s x 20A / 3600s = 2.098Ah

    T=683s

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    Usable Capacity vs Discharge rate

    10

    2.06

    2.11

    2.16

    2.21

    2.26

    2.31

    0 5 10 15 20 25

    Rated Capacity at 2.3Ah (using C/30

    discharging rate)

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    Quantify State of Health (SoH)

    Full Discharge Test (SOH)SoH = (measured capacity) /(rated capacity)

    1 > SoH > 0 A battery is at its end of lifetime at SoH of 0.8 .(EnergyInstitute Battery Research Group)

    Increase in internal resistance resulting active powerloss

    Increase in self discharge

    Counting charge/discharge cycles

    Voltage drop during initial discharge

    Two-Pulse Load Test

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    State of Function (SoF)

    Capability of the battery to perform a specificduty which is relevant for the functionality of a

    system powered by the battery.

    For example: Use 20A to discharge a battery

    after 683s battery reaches the cutoff voltage 2v Battery still has the capacity left to be discharged by 10A

    SoF is a function of the batterys SoC, SoH and

    operating temperature.

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    Presentation Outline

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    Research Objectives

    Battery Properties

    Battery Model

    Model results and analysis

    Future Research

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    Discharging Results

    0 2000 4000 6000 8000 10000 12000 14000

    1.8

    2

    2.2

    2.4

    2.6

    2.8

    3

    3.2

    3.4

    3.6

    3.8

    1

    2

    3

    4

    51A

    0 500 1000 1500 2000 2500 3000

    1.8

    2

    2.2

    2.4

    2.6

    2.8

    3

    3.2

    3.4

    3.6

    1

    2

    3

    4

    5

    5A

    0 200 400 600 800 1000 1200 1400

    1.8

    2

    2.2

    2.4

    2.6

    2.8

    3

    3.2

    3.4

    3.6

    1

    2

    3

    4

    5

    10A

    0 100 200 300 400 500 600 700

    1.8

    2

    2.2

    2.4

    2.6

    2.8

    3

    3.2

    1

    2

    3

    4

    5

    20A

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    Discharging Results - Average

    15

    0 1000 2000 3000 4000 5000 6000 7000 80002.6

    2.8

    3

    3.2

    3.4

    3.6

    3.8

    4

    Time (s)

    Voltage

    (v)

    0 200 400 600 800 1000 1200 1400 16001.8

    2

    2.2

    2.4

    2.6

    2.8

    3

    3.2

    3.4

    3.6

    Time (s)

    Voltage

    (v)

    0 100 200 300 400 500 600 700 8001.8

    2

    2.2

    2.4

    2.6

    2.8

    3

    3.2

    3.4

    3.6

    Time (s)

    Voltage

    (v)

    0 50 100 150 200 250 300 350 4001.8

    2

    2.2

    2.4

    2.6

    2.8

    3

    Time (s)

    Voltage

    (v)

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    Temperature vs Time

    Temperature vs. Time

    0

    5

    10

    15

    20

    25

    30

    35

    40

    45

    0 5 10 15 20 25 30 35 40 45

    Time (s)

    Temperatur

    1A

    5A

    10A

    20A

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    Constant Current Discharging

    @ 20A, 10A, 5A, 1A

    0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 11.5

    2

    2.5

    3

    3.5

    4A123 High Power Lithium Ion ANR26650 Cell Discharge Curves

    R2_01A = 0.99

    R2_05A = 0.97

    R2_10A = 0.93

    R2_20A = 0.85

    Y: observed dataF: model data

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    Voltage Error: Actual voltageestimated

    0 2000 4000 6000 8000 10000 12000 14000-0.14

    -0.12

    -0.1

    -0.08

    -0.06

    -0.04

    -0.02

    0

    0.02

    0.04

    0.06

    1A:

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    Model 20% - 80% of SOC

    At a low state of charge: nearly all the charging

    current is absorbed by the chemical reaction.

    Above 80% of SOC, more and more energy

    goes into heat.reduce current for the last 20%

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    Model output: Smooth line

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    0 2000 4000 6000 8000 10000 12000 140001.8

    2

    2.2

    2.4

    2.6

    2.8

    3

    3.2

    3.4

    3.6

    3.8

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    Measured

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    4000 4200 4400 4600 4800 5000 5200 5400 5600 5800 60003.23

    3.235

    3.24

    3.245

    3.25

    3.255

    3.26

    3.265

    3.27

    Zoomed in

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    Interval Discharge

    5A for 60s & 20A for 30s

    0 100 200 300 400 500 600 700 800 9001.8

    2

    2.2

    2.4

    2.6

    2.8

    3

    3.2

    3.4

    3.6

    Time (s)

    Voltage

    (V)

    Experimental data

    Model output

    Purpose: When driving, different discharging currents are applied to the battery

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    Hysteresis

    Hysteresis slowly changes as the cell

    is charged or discharged

    Hysteresis is considerably larger at

    low temperatures.

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    Modeling hysteresis effect

    constant tunes the rate of decay

    M is a function that gives the maximum polarization due to hysteresis as a function of

    SOC and the rate-of-change of SOC.

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    Relaxation effect

    If a cell is pulsed with current, it takes time for thevoltage to converge to its steady-state level.Relaxation effect may be implemented as a low-passfilter on ik

    The output equation had the form:

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    Simulink Model

    filter

    i filter

    To Workspace

    VTSubsystem

    i/cn hysteresis

    Scope 5

    Scope 4

    Scope 3

    Scope 2

    Scope 1

    Scope

    Pulse

    Generator 1

    Pulse

    Generator

    Battery Cell

    ik

    i/cn

    ocv

    Add2

    Add 1

    Add

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    Result

    0 100 200 300 400 500 600 700 800 9001.8

    2

    2.2

    2.4

    2.6

    2.8

    3

    3.2

    3.4

    3.6

    Time (s)

    Voltage

    (V)

    Experimental data

    Model output

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    Future Work

    Pulse Discharging

    SoH, SoF

    Charging Algorithms

    Optimum power usage

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    Acknowledgement

    Please use one of the following three languages

    1. This work was supported by ERC Program ofthe National Science Foundation under AwardNumber EEC-08212121.

    2. This work made use of ERC shared facilitiessupported by the National Science Foundationunder Award Number EEC-08212121.

    3. This work was partially supported by theNational Science Foundation (NSF) underAward Number EEC-08212121.