07 Guezennec FC Workshop OSU YG

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    Supervisory Control of Fuel Cell

    Vehicles

    Fuel Cell Control Workshop Irvine, CA

    April 3 & 4, 2003

    Yann Guezennec, Giorgio Rizzoni and Gabriel Choi

    Ohio State University

    Center for Automotive Research

    http://car.eng.ohio-state.edu

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    Focus on Fuel Cell Systems for automotive applications, more

    particularly PEM

    Emphasis on complete systems rather than in-depth component

    analysis

    Treat the electro-chemistry as a black box Two levels of modeling:

    Quasi-static approach, i.e., steady-state characteristics +

    slow thermal dynamics (suitable for energy analysis at the

    system level and vehicle level, system optimization and

    supervisory control strategy) Low-frequency dynamics approach, i.e., particularly the air

    supply dynamics under varying loads as seen in automotive

    powertrains (suitable for low-level system control)

    Strong interplay between both levels

    Overview of our PEM FC

    Modeling Approach (contd)

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    Imbedded levels of modeling:

    Stack: Computationally efficient, yet accurate black-box

    fuel cell stack model environment as a function of relevant

    operating and control parameters implemented in a

    Matlab/Simulink

    System: Fuel cell system (stack and necessary auxiliaries)

    model implemented in Matlab/Simulink Vehicle: Fuel cell system model implemented within our

    modular, scalable vehicle performance simulator (VP-SIM)

    Overview of our PEM FCModeling Approach (contd)

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    Fuel Cell System Model Integrated into VP-SIM, aForward Vehicle Performance Simulator

    P o we r t ra i n L a y e r

    1

    Tract ive Force (N)

    Ft_ f

    F t _ r

    F t

    W h e e l

    C o u p l i n g

    alp

    ha

    beta

    em_

    ctrl

    fc_

    trl

    c_

    gear

    c_

    brakeVC U

    Te rmin a t o r5

    Te rm in a t o r4

    Te rm in a t o r3

    T

    w

    F t

    v

    R e a r

    Whee ls1

    c _ b r a k e _ r

    T_i

    w_ i

    T_ o

    w_ o

    R e a r

    B ra k e s

    e m _ c d e

    V_ba t t

    i_batt

    p _ f c

    V _ f c

    i _ f c

    V_ o

    i_o

    P o we r A mp f c

    H V _ H 2

    m f _ H 2

    V

    I

    P E M_ Fu e l_ c e l l _ s y s t e m

    H v

    m f

    H y d r o g e n T a n k

    G ro u n d

    T

    w

    F t

    v

    Fro n t

    Whee ls1

    c _ b r a k e _ f

    T_ i

    w_ i

    T_ o

    w_ o

    Front

    B ra k e s

    V

    i

    T

    w

    E M 1

    T_i

    w_ i

    T_ o

    w_ o

    Di f f e re n t i a l 1

    V

    i

    B a t t e ry

    2B ra k e A n g le

    (0 to 1 )1A c c e l A n g le

    (0 to 1)

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    PEM Fuel Cell Vehicles: a Need for

    Hybridization ?

    Hybridization (i.e., batteries, supercapacitors) isprobably needed for:

    Fuel cell sizing optimization Cold start and dynamic response

    Energy efficiency improvement (regen + shift inoperating conditions)

    Lesser needs for low-level control and dynamic

    response

    Hybridization creates the need for vehicle-level,energy management (supervisory) control strategy

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    Fuel Cell Hybridization

    The directionality of the electrical energy flow must be controlled in

    hybrid fuel cell vehicle (similar to power split management problem

    in ICE/EM parallel hybrids)

    Need for power electronics to couple fuel cell system and

    batteries/supercaps due to differences in voltage/current characteristiccurves

    +++

    Fuel

    Cell

    System---

    + +

    Power

    Converter

    DC/DC

    - -

    +++

    Battery

    ---

    Electric

    Motor

    +

    Power

    Converter

    DC/AC

    -

    ++++High Voltage DC Bus ++++

    -----High Voltage DC Bus -----

    Fuel Cell Power

    Control input

    Electric Motor Power

    Control input

    IFC

    Power flow from

    fuel cell to DC high

    voltage battery bus

    Power flow between DC high

    voltage battery bus and electric motor

    (positive in traction, negative in

    regenerative braking)

    IBatt

    +++

    Fuel

    Cell

    System---

    + +

    Power

    Converter

    DC/DC

    - -

    +++

    Battery

    ---

    Electric

    Motor

    +

    Power

    Converter

    DC/AC

    -

    ++++High Voltage DC Bus ++++

    -----High Voltage DC Bus -----

    Fuel Cell Power

    Control input

    Electric Motor Power

    Control input

    IFC

    Power flow from

    fuel cell to DC high

    voltage battery bus

    Power flow between DC high

    voltage battery bus and electric motor

    (positive in traction, negative in

    regenerative braking)

    IBatt

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    Aim of Supervisory Control Strategy

    (Energy Management)

    To define

    Real time power distribution between FC and the

    electrical accumulator (Pfc: control variable)

    which:

    Satisfy instantaneous driver power demand (Pem)

    Minimize overall fuel consumption (global)

    with respect to:

    Components limits

    Charge-sustaining constraints (global)

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    ECMS Control Strategy Highlights

    Initially developed for parallel HEV

    Applicable to any hybrid configuration Reducing the non-realizable global minimization

    criterion to a realizable local one (causal)

    Based on the concept of an equivalent fuel consumption

    for the electrical accumulator

    Computationally cheap for real-time implementation

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    Concept of Equivalent Fuel Consumption

    Charge sustaining => All energy depleted from electricalaccumulator has to be replaced

    An average Virtual accumulator specific fuel consumptionSC (gr/kW.hr) can be calculated:Fuel Tank Electrical

    Accumulator

    FuelCell

    fcfm _&

    Pbatt

    Power

    Converter

    Pfc

    Fuel Tank Electrical

    Accumulator

    FuelCell

    fcfm _&

    Pbatt

    Power

    Converter

    Pfc

    battfbatt mE _battSC

    _batt f batt P m &

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    ECMS Principles At each time:

    Each candidate power combination is examined, combinations which dontmeet driver request are rejected

    The instantaneous minimization of the equivalent fuel consumption does not

    lead to a charge-sustaining strategy

    To enforce the global SOC constraint, the equivalent fuel consumption isfurther modified by using an appropriately constructed multiplicative penaltyfunction to bias the optimal instantaneous split towards or away from theuse of the electrical accumulator (i.e., increase or decrease the equivalent

    fuel consumption for the electric accumulator

    ( ) ( ) ( )fc bat t emP i P i P i+ =

    ( ) ( ) ( )_ _ _f fc f ba t t f e qu im i m i m i+ =& & &

    Fuel CellModel

    b a t t penS C f

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    SOC Control via Multiplicative Penalty

    Function on Equivalent Fuel Consumption

    Penalty function on electrical consumption should reflect not only theinstantaneous deviation from target SOC, but also the accumulateddeviation (PI-like controller). However, the integral term must be weakenough to allow enough flexibility, i.e., instantaneous and short-termdeviations from target SOC are required to best utilized the hybridizationpotential

    Weak

    integral

    term

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    ECMS Supervisory Control Strategy ECMS Advantages:

    Implementable (causal): requires only present and pastinformation

    Computationally cheap: past information is only accumulatedsum real time implementation

    Proven in simulation and in the field

    Implications of ECMS control strategy w.r.t. dynamicrequirements on fuel cell system, drivability, etc. What are the implications with respect to fuel cell system dynamic

    response?

    If limiting rate of change of fuel cell system power (downgrading ofoptimal split) is implemented, how sub-optimal is it?

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    Representative Simulation Results for

    Charge-Sustaining FC/Battery Vehicle

    Simulation Parameters:

    FCV sedan-like (Mv = 1700 Kg,

    Cd = 0.35, Af= 1.8 m2)Drive cycle = FUDS (Hot Start,

    T = 80C)

    50 kW Fuel Cell System

    (nominal)

    Fuel cell system architecture and

    control: pressurized with screw

    compressor, optimal systemefficiency tracking

    +/- 30 kW Battery Max Power

    SOC Target = 0.4 - 0.8

    Initial SOC = 0.6

    Battery capacity = 4.4 A.h

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    Case 1 No hybridization

    Power

    split

    SOC

    Power

    histogram

    and

    efficiency

    Fuel

    consumption

    MH2 = 157.0 gr

    High dynamics

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    Case 2 Hybridized, Optimal Power Split

    Power

    split

    SOC

    Power

    histogram

    and

    efficiency

    Fuel

    consumption

    MH2 = 105.9 gr

    Decreased dynamics

    Charge sustaining

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    Details of ECMS Supervisory Control

    Strategy Output

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    Case 3 Hybridized, Optimal Split, Slew

    Rate Limited to 2 kW/sec

    Power

    split

    SOC

    Power

    histogram

    and

    efficiency

    Fuel

    consumption

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    Details of ECMS Supervisory Control Strategy

    Output with Rate Limitation of 2 kW/sec

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    Summary Results

    5.2382.91105.565.0

    5.1183.59104.704.5

    5.1283.58104.724.0

    5.1283.41104.933.5

    5.1583.22105.163.0

    5.1583.42104.922.5

    5.1683.18105.222.0

    6.1976.98113.701.5

    6.0375.99115.181.0

    10.3354.70160.000.5

    HEV-2

    5.2982.68105.86HEV-1

    8.4255.76156.97HEV-0

    Standard Deviation of the

    FC Power[kW]

    Equivalent Mileage

    [mile/gallon]

    Hydrogen Consumption

    [gram]

    Rate Limit

    [kW/sec]Hybrid Type

    Effect of the Hybrid Types and Control Strategies with Screw-Type Compressor

    ran with the best system-efficiency operating condition

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    Summary Results

    Effect of the Control Strategies with Screw-Type Compressor

    ran with the best system-efficiency operating condition

    Hybridization with ECMSSupervisory Control Strategy

    can tolerate poor dynamic

    response of fuel cell system

    with no fuel economy

    degradation