Battery Test Systems

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    ELECTROCHEMICAL

    INSTRUMENTATION

    Part I

    B TTERY TEST

    SYSTEMS

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    Control Systems A typical control system incorporates not only

    functions allocated to measurements of

    variables and information transfer, butfunctions for energy conversion, utilizationand control employing controllers of theelectronic, mechanical, pneumatic,microprocessor, etc., type.

    Exemplary control systems may be for position,level, speed, rpm control.

    The electrochemical control systems areprimarily devoted to potential, current, power,temperature, density and other

    electrochemical parameters’ control bymeans of electronic controllers.

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    Control System Structure

    Most electronic control systems include some kind of a feedback loop ----------------applying a corrective signal from the Output back to the Input.

    The main purpose of this feedback signal is to correct the input signal in

    such a way that an error signal be produced and amplified for the purposeof RESULTS to most faithful ly match the AIMS.

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    Classical Feedback TheoryTwo distinct cases:

    1. GCL = 1/β, when β A is too large

    In this case the system closed

    loop gain G is defined entirely

    by the negative feedback

    components and the outputsignal is precisely defined by

    “β

    ” .

    2. GCL = infinity, when β A = -1

    In this case the system is totally

    useless, loses control, the

    closed loop gain G goes to

    infinity and the output becomesdestructive.

    ∞⇒〈=ββ

    ⇒∞→β

    β+==

    CL

    CL

    CL

    Gdeg1801AWhen

    1GAWhen

    A1A

    UinUlG

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     Advantages and Cost of Feedback

    • Reduction of sensitivity to variations of the bipolaror FET transistors parameters due to changes ofambient temperature, d.c. supply voltages, radiation,

    aging etc.• The application of feedback tends to reduce the

    harmonic distortion and noise generated inside theinternal amplifier

    • The above advantages however are achieved at thecost of risk of instability since in certain cases theamplif ier may become unstable demanding the

    addition of suitable corrective circuit elements to theinternal amplifier and/or the feedback network so asto insure the overall system stability under allpossible operating conditions

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    The Electronic Amplifier Ud - difference or error signal

    Ur - feedback or return signal

     A - amplifier open loop gain

    β - feedback network transfer

    function

    Uin and Uout  – Input andOutput signal

     As the open loop gain A is increased in magnitude, the

    error signal Ud becomes progressively smaller and the

    feedback signal Ur approximates more closely the input

    signal Uin, which is equivalent of saying that the closedloop gain G is effectively equal to 1/β.

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    The Closed Loop Gain G

    11

    11

    βA1

    A

    Uin

    Uout

    G

    βUoutUinUrUinUdβUoutUr

    Ud

    UoutA

     

    β

    β

    =

     

    =

    =

    =

     A

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    The Electronic Amplifier Features

    • The dominated speed of response is much higher incontrast to a typical industrial control system –

    microseconds (or less) compared to seconds• The mutual influence among the internal amplifier

    stages and the feedback network components is

    always to be accounted for • The higher frequency operation at different power

    levels should not result to the introduction ofnoticeable static or dynamic errors

    • The transfer function is to be precisely analyticallydescribed to facilitate the judicious application ofstabilizing phase compensation techniques

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    The Basic Operational Amplifier 

     Amplifier gain A – Very high, close to infinity

    Input impedances Zin 1,2 – Very high, close to infinity

    Output impedance Rout – Very small, close to zero

    Bias currents Ib 1,2 – Small to negligible

    Offset voltage Uoff – Small to negligible

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    Inverter and Summing Amplifier 

    Uin1R 

    2R Uout   −=

    2U2R 

    3R 1U

    1R 

    3R Uout   −−=

    The potential difference between

    the two amplifier inputs is

    negligible due to the high

    amplifier gain, hence thesumming point Σ is virtually at

    zero (ground) potential and is

    frequently labeled as The“ Virtual Ground” of the amplifier.

    The input resistances presentedto the input voltage sources U1

    and U2 are correspondingly R1

    and R2, hence these operational

    circuits have final valued input

    resistances.

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    Voltage followers with/without Gain

    Uin1R 

    2R Uout

      +=

    1 R

    UinUout=

    The simple voltage follower does

    not change the sign of the input

    voltage and the output voltage

    equals the applied input voltage.Commonly termed “ Buffer

     Amplifier” since its input

    impedance presented to the input

    voltage source is practicallyinfinite.

    The same is valid for the follower

    with gain with no sign inversion,

    gain equal to (R1+R2)/R1 and

    infinite input impedance presentedto the voltage source.

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    Integrators and Differentiators

    ∫−=   dtUin

    RC

    1Uout

    ???dt

    dUinRCUout   −=

    The integrating operational configuration

    should be cautiously utilized since no

    matter how small the bias current and the

    offset voltage are, they will be integratedover time and be presented as a

    combined error term. By adding an

    appropriate switching network this

    operational circuit is often used for“ sample-and-hold” applications.

    The “ pure” differentiator circuit is quite a

    controversial one since, for reasons thatwil l be discussed later on, it has not only

    a tendency toward instabili ty, but its gain

    at high frequencies is very high and there

    is a risk for the amplifier generated highfrequency output noise to obscure the

    noise-free differentiated signal.

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    Differential Amplifier and I/E Converter 

    1)Uin2(Uin1R 

    2R 

    Uout  −=

    IinR Uout

    The simple differential amplifier finds numerousapplications when voltage differences are

    measured. Its closed loop gain however

    depends primarily on the resistors’ mach down

    to less than 0.1%. The main advantage of thisoperational conf iguration is that it heavily

    suppresses common mode signals.

    The I/E current-to-voltage converter “ virtualground” summing point Σ allows for the precise

    direct conversion of the “ short circuited” current

    source signal to an output voltage signal without

    introducing any current shunts. Frequently used

    for electrochemical sensors conditioning and

    electrochemical impedance measurements but

    the inevitable electrochemical capacitance

    applied to the amplifier input transforms it to a

    differentiator-like circuit with all the associatedrisks of instability and obscuring noise

    generation.

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    Typical Operational AmplifiersGAIN   OFFSET

    voltage

    BIAScurrent

    INPUTimpedance

    SPEED   POWER output

    Low

    Offset

    High   Very

    low [nV]

    Medium Medium High Low

    Low

    inputcurrent

    Medium Medium   Very low

    [fA]

    Very

    High

    [Gohms]

    Low Low

    Fast Medium Medium High Low   Very

    High[>Mhz]

    Medium

    HighPower

    Medium Medium Medium Medium Medium   VeryHigh

    [A]

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    The Ideal/Real Voltage Source

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    The Ideal/Real Current Source

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    E Source

    1R 2R 1R EE REF0

    +=

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    E Source Errors

    dTSdIrdESdE tu00inu0   ++=

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    I Source

    2R 1R 1R 

    R EI

    S

    REFRl

    +=

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    I Source Errors

    dTSdER 

    1

    dESdI ti00

    imi0   ++=

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    E/I Source

    S

    REF0

    REF0

    EI

    1R 

    2R EE

    =

    −=

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    E/I Source Characteristics

    The “α

    ” angle reflects the

    influence of the final valued

    internal resistance of the

    E source, while the “β” angle

    illustrates the combined Isource output resistance

    participation

    The automatic “ crossover”is user selectable.

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    Thermal Feedback

    1R 

    2R 1R ESZ

    R 4

    EdE REFthth

    l

    2

    in[thfmax]0

    +

    ±=

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    High Power/Voltage E/I Source

    α

    β

    α

    β−

    R E

    R E

    R EI

    R IR 

    2R Ir

    1R 

    2R EE

    0

    0

    0

    S

    REF0

    S000REF0

     onCompensati R

     E

     onCompensati Ir

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    The Bitrode Power Module

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    The Output Stage – the Bitrode Module

    The electrical and thermal design ofthe output power stage is an art i tself.

    Various approaches for reduction of

    the power dissipated by the active

    components, mostly bipolar or FET

    transistors, are employed.

    The series-parallel operation of active

    (transistors) and passive (resistors)

    elements helps to dynamicallydistribute the power dissipated by the

    semiconductor components and

    extend their operational l ife,

    enhancing their reliability.

    Special cases are the high

    voltage/power output stages where the

    active components Safe Operating

     Area should carefully be consideredsince the overvoltage destruction is a

    nanosecond process.

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    Constant Power Source

    ms

    REF2

    0

      K R 1.R 

    2R 1R EP

      +=

    Po

    This power control ler utilizes an

    analogue multiplier for fast and

    precise control of the output power 

    El t i L d

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    Electronic Load

    Constant Resistance

    1R 

    2R 1R 

    R I

    E

    R  Sc

    +≈≈

    The equivalent of an inf initely variablehigh power rheostat (0 to 100 ohms)

    with close to 0.1% precision at

    nominal power of up to 2000 watts (or

    more)

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    E/I/P Source

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    E/I/P Source + I/P/R Sink+Elimit

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    Universal Battery Test Unit

    OPERATIONAL MODES

    -

    CC charge/discharge- CV charge/discharge

    - CP charge/discharge

    -

    CR discharge- FV protection

    - Ref Electrode control

    -Cell pressure control

    - Battery temperature limit

    - Gas evolution control

    - Heat sink temperature limit

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    Battery Life Cycling Tester – Bitrode Corp.

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    High Power Test Unit – Bitrode Corp.

    S C

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    Battery Test System – Digatron Corp.

    The Solartron 1470 Battery and Fuel Cell

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    The Solartron 1470 Battery and Fuel Cell

    Test Unit