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    Special Advertising Section toIEEE Spectrum

    Ju 2012

    Multihic

    iMulati

    MetaMaterialsMake Physics

    seeM like Magic

    UPgrading thenUts and Bolts of

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    S2 COMSOL MULTIPHYSICS JUN E 2012 + ONLINE: www.comsol.com/products/multiphysics/

    TODAY SIMULATION ISubiquitous. It has been

    embraced by virtually every industry that designsand innovates new products and services.

    There has been remarkable progress in simula-

    tion methods. In act, the perormance o improved

    algorithms has matched that o improved hard-

    ware over the last hal century. The combined eect

    o these advances has been a huge increase in the

    computing power available or simulation-based

    design and optimization.

    So we asked COMSOL, an innovator in multiphys-

    ics simulation sotware and the creator o this special

    supplement to lay out how the leap in computational

    capability has changed what simulation sotware can

    do today.

    In the next ew pages you will fnd examples o

    some truly remarkable work. These include devel-

    oping metamaterials to achieve electromagnetic

    cloaking, the shaping o ractallike pattern cold-

    plates to cool power-electronics in hybrid cars, and

    bringing superconducting ault current limiters tothe power grid.

    I am sure you will fnd this supplement, spon-

    sored by COMSOL, ascinating.

    Please eel ree to contact me i you would like to

    share your own experiences in pushing the limits

    o simulation.

    Email: [email protected]

    SIMULATIONMORE THANMEETS THE EYE

    ByJAMES A. VICK, SENIOR DIRECTOR, IEEE MEDIA;PUBLISHER, IEEE SPECTRUM

    CONTENTS

    3METAMATERIALS MAKEPHYSICS SEEM LIKE MAGICNASA Glenn Research Center,

    Cleveland, OH USANaval Postgraduate School,

    Monterey, CA USA

    Duke University, Center forMetamaterials and IntegratedPlasmonics, Durham, NC USA

    8NUMERICAL SIMULATION-BASED TOPOLOGYOPTIMIZATION LEADSTO BETTER COOLING OFELECTRONIC COMPONENTSIN TOYOTA HYBRID VEHICLES

    Toyota Research Instituteof North America,

    Ann Arbor, MI USA

    ON THE COVER:Advanced heat sinks with optimized cooling channel topologyare being designed to cool power electronic components in Toyota hybrid vehicles.

    M U L T I P H Y S I C S S I M U L A T I O N S p e c i a l A d v e r t i s i n g S e c t i o n

    19MODELING SCAREFFECTS IN ELECTRICALSPINAL CORD STIMULATION

    Lahey Clinic, Burlington, MA USA

    12MODELING OPTIMIZES APIEZOELECTRIC ENERGYHARVESTER USED IN CAR TIRES

    Siemens Corporate Technology,Mnich, Germany

    16A SOLUTIONTO TREATINGNUCLEAR WASTECOMES VIAMODELING ANDSIMULATION

    Idaho NationalLaboratory, IdahoFalls, ID USA

    29LIGHTNING-PROOF

    WIND TURBINESGlobal Lightning Protection

    Services A /S, Lejre, Denmark

    32MATHEMATICALMODELING: ANINDUSTRIAL PERSPECTIVE

    DuPont Experimental Station,Wilmington, DE USA

    22UPGRADING THE NUTSAND BOLTS OF THEELECTRICAL GRID FOR ANEW GENERATION

    ABB AB Corporate ResearchPower Technologies,Vsters, Sweden

    Florida State University, Centerfor Advanced Power Systems,Tallahassee, FL USA

    26NUMERICAL MODELINGOF ELECTROSTATICPRECIPITATORS

    Alstom Power Sweden AB,Vxj, Sweden

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    S 3COMSOL MULTIPHYSICSJUN E 20 12

    S p e c i a l A d v e r t i s i n g S e c t i o n

    + ONLINE: www.comsol.com/electrical

    than those ound in natu-

    rally occurring or chemi-

    cally synthesized materials.

    Manipulating the struc-

    ture o the metamaterial

    allows it to interact with

    and control electromagnetic

    waves. Just what an impact

    this has comes into stark

    relie when we take into

    account the act that elec-

    tromagnetic radiation can

    have wavelengths that range

    rom thousands o kilome-

    ters to billionths o a meter.

    Controlling electromag-netic waves lets us con-

    trol whether objects can

    be seen. For instance, the

    wavelength o the electro-

    magnetic waves that make

    up visible light ranges

    rom 400 to 750 nanome-

    ters. But because the spac-

    ing between atoms is much

    smaller than thaton the

    order o one-tenth o a

    nanometer (an angstrom)we cannot resolve an image

    o atoms rom visible light.

    This leads to the exciting

    prospect o using meta-

    materials to make invisi-

    ble objects visible and vis-

    ible objects invisible.

    All the ne details o the

    medium are blurred on the

    spatial scale o about one

    wavelength, which allows

    physicists to use an aver-aged description known as

    eective medium theory.

    The idea o metamateri-

    als stems rom this simple

    concept o eld averaging.

    The many orders o mag-

    nitude dierence between

    the wavelength o visi-

    ble, inrared, or microwave

    radiation and the atomic

    METAMATERIALS MAKEPHYSICS SEEM LIKE MAGICTo achieve this magical efect, one must havesimultaneous control over multiple physical phenomena

    ByDEXTER JOHNSON, PROGRAM DIRECTOR, CIENTIFICA& BLOGGER, IEEE SPECTRUM ONLINE

    Cylindrical metamaterial cloak for microwavefrequencies designed by the group of David R.Smith, Duke University.IMAGE: DAVID SCHURIG

    David R. Smith(above), YaroslavUrzhumov, DukeUniversity.

    M E T A M A T E R I A L S

    THE FAMED SCIENCE ction author Arthur C. Clarke once remarked,

    Any suciently advanced technology is indistinguishable rom magic.

    I this idea indeed holds true, then the emerging eld o metama-

    terials would have to be classied as a suciently advanced technol-

    ogy. Metamaterials have been stunning both the layman and the sci-entist in recent years with their ability to render objects invisible (see

    the cloak image above), leaving many to comment only hal in jest

    that they must be magic.

    Metamaterials are not magic, however. Instead, they are the result o a

    science that requires an enormous amount o knowledge and control over

    electromagnetic phenomena and other physical attributes o materials.

    A metamaterial can be broadly dened as an articially structured

    material abricated by assembling dierent objects so as to replace the

    atoms and molecules that one would see in a conventional material.

    The resulting material has very dierent electromagnetic properties

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    S 4 COMSOL MULTIPHYSICS JUN E 2012

    M E T A M A T E R I A L S

    optical principle or the

    manuacturing o lenses or

    any other optical device that

    bends or manipulates light.

    All materials in nature

    have a reractive index, or a

    measurement o the speed

    o light through that mate-rial. But some metamate-

    rials are capable o achiev-

    ing what is known as a

    negative reractive index,

    resulting in metamaterials

    sometimes being reerred

    to as let-handed or neg-

    ative-index materials.

    A material that has a

    negative reractive index

    is capable o bending light

    in the opposite directiono what we would expect

    based on typical reraction.

    The method by which you

    make a material that has

    a negative reraction index

    requires reversing the elec-

    trical component (permit-

    tivity) and the magnetic

    component (permeability)

    o a materials reractive

    index. This is accomplished

    by articially constructing

    a material (Figure 5) that

    possesses structures with

    dimensions smaller than

    the wavelengths o the light

    it is intended to reract.

    This causes the atoms and

    the photons in the mate-

    rial to resonate and reverse

    the materials permittiv-ity and permeability.

    These optical capabili-

    ties o metamaterials are

    important or understand-

    ing the wide array o appli-

    cations that exist or them.

    APPLICATIONSFOR METAMATERIALSONE OF THE rst poten-

    tial applications suggested

    or metamaterials was asuperlens that would uti-

    lize the negative reraction

    o a metamaterial to pro-

    vide much higher resolu-

    tion than is possible with

    lenses made rom nat-

    ural materials, accord-

    ing to Jerey D. Wilson,

    a physicist at NASAs

    Glenn Research Center.

    Such a lens could enable

    very high-resolution imag-

    ing and lithography, with

    scale creates a window o

    opportunity or an eec-

    tive medium consisting

    o articial atoms that

    are much larger than real

    atoms but still signicantly

    smaller than the wave-

    length o the radiation.Such a medium is what sci-

    entists call a metamaterial.

    NEGATIVEREFRACTIVE INDEXAN IM PO RTAN T PROP ER TY

    o metamaterials is the

    phenomenon o negative

    reraction. O course, were

    all aware rom an early age

    that reraction is the bend-

    ing o light at the inter-section o two materials.

    The most common exam-

    ple o reraction at work is

    the observation o underwa-

    ter objects rom above the

    water. In this case, rerac-

    tion makes those objects

    appear closer to the surace

    than they actually are. So

    reraction provides the basic

    S p e c i a l A d v e r t i s i n g S e c t i o n

    12 3

    4 5

    FIGURE 1: Full-wave simula-tion o a magnetic metama-terial disk levitating abovea current-carrying coil.

    FIGURE 2: Hydrodynamicalcloak: a porous metamate-rial shell that eliminates wake.Designed and modeled with

    COMSOL Subsurace Flowand Optimization Modules.

    FIGURE 3: A pair o coilstightly coupled througha negative-permeabil-ity metamaterial slab.

    FIGURE 4: Unidirectionalacoustic cloak based onquasi-conormal transor-mation optics, modeledusing COMSOLs axisym-metric pressure acoustics.

    FIGURE 5:A composite Split

    Ring Resonator Thin WireArray metamaterial exhibit-ing negative index o rerac-tion in the microwave X-band;COMSOL simulation. Notethe additional blocks o reespace that acilitate multi-direc-tional S-parameter simulations.

    IMAGES: YAROSLAV URZHUMOV(DUKE UNIVERSITY)

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    S 5COMSOL MULTIPHYSICSJUN E 20 12

    one application being the

    abrication o smaller and

    aster computer chips.

    Problems with abrica-

    tion and attenuation issues

    need to be solved, however,

    beore this becomes practi-

    cal. Attenuation issues that

    severely limit the peror-

    mance o negative-index

    lenses are however less

    severe in near-eld appli-

    cations, where, instead o

    negative index, one can use

    either a negative permit-

    tivity or negative permea-bility. The latter material

    property - still rarely avail-

    able in nature - is particu-

    larly promising or applica-

    tions requiring magnetic

    eld enhancement and

    ocusing, such as magnetic

    levitation (Figures 1, 3).

    The area in which elec-

    tromagnetic metama-

    terials have rst been

    used or practical appli-cation is antenna tech-

    nology, explains NASAs

    Wilson. Metamaterials

    have been used in antennas

    to signicantly reduce size,

    increase requency band-

    width, and increase gain.

    While antenna technol-

    ogy has been the largest

    application or metama-

    terials, it is perhaps in the

    area o cloaking that themost excitement and pub-

    licity have been generated.

    In cloaking, metama-

    terials are used to divert

    microwaves or optical

    waves around an object

    so that it appears invis-

    ible. Most o the appli-

    cations or this cloaking

    eect involve the military.

    Among the exciting

    potential uture applica-

    tions being discussed or

    metamaterials is a seismic

    metamaterial that could

    be used to protect struc-

    tures rom earthquakes,

    according to Wilson.

    Another area in which

    metamaterials are gain-ing traction is in terahertz

    (THz) technologies, in par-

    ticular or imaging appli-

    cations. THz imaging has

    aroused interest in the con-

    texts o security and medi-

    cal imaging because o its

    ability to penetrate non-

    metallic materials and

    abrics and do so without

    damaging tissue or DNA.

    THz waves have re-quencies that are higher

    than those o microwaves

    but lower than those o

    optical radiation, explains

    Wilson. However, the THz

    requency band has been

    essentially neglected and

    is reerred to as the THz

    gap o the electromagnetic

    spectrum. The primary rea-

    son or this is that currently

    available compact THz

    sources can produce only

    at NPS have been develop-

    ing metalms (thin lms

    based on metamateri-als) that could enable less

    expensive THz imaging

    devices and total absorp-

    tion o the THz waves.

    The metalm we are

    developing exhibits prop-

    erties not ound in natural

    materials, explains Alves.

    It is obtained by placing

    a periodic array o metal

    cells close to a conduct-

    ing plane with a dielectric

    spacer in between to orman articial structure that

    exhibits electromagnetic

    properties such that its

    impedance matches with

    the surrounding media

    (ree space in our case)

    at a specic requency.

    In this situation, ide-

    ally there is no transmission

    and no refection, result-

    ing in total absorption. By

    selecting appropriate mate-rials and geometry, it is pos-

    sible to design lms with

    near 100 percent absorption

    in the desired requency.

    small amounts o power

    on the order o milliwatts.

    Some companies have

    developed airport scanners

    that make use o THz imag-

    ing but achieve their capa-

    bilities by means o veryexpensive and complicated

    imaging arrangements.

    The problem has been

    that the background ther-

    mal energy in the THz

    range o the electromag-

    netic spectrum is small

    compared with inra-

    red, according to Fabio

    Alves, a researcher rom

    the Sensor Research Lab,

    led by Proessor GamaniKarunasiri, at the Naval

    Postgraduate School (NPS)

    in Monterey, Cali. When

    the THz waves have to

    travel through open air, as

    they do in airport imag-

    ing technologies, most o

    the radiation is absorbed

    beore it reaches its target.

    Alves and his colleagues

    MICROWAVE DEVICE: Microwave Rotman lens whose size is substan-tially reduced with the aid o magnetic metamaterial lling the taperedtransmission lines in the center. IMAGE: JOHN HUNT (DUKE UNIVERSITY)

    Simulationtools enable

    us to be creativeand to quicklytest new ideasthat would bemuch more dif-cult, time-consum-ing, and expensiveto test in the lab.JEFFREY D. WILSON,NASA GLENNRESEARCH CENTER

    S p e c i a l A d v e r t i s i n g S e c t i o n M E T A M A T E R I A L S

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    S 6 COMSOL MULTIPHYSICS JUN E 2012

    rating its perormance (See

    the compressed Rotman

    lens on the previous page.).

    Physical implementations ospace transormation ideas

    almost invariably require

    metamaterials with exotic

    electromagnetic properties.

    OBSTACLES INDESIGNING WITHMETAMATERIALSONE OF THE key design con-

    straints researchers ace

    when working with meta-

    materials is the high ohmicloss o metamaterials due

    to the ohmic losses in the

    metal. This causes electro-

    magnetic waves that pass

    through the structure to

    be strongly attenuated.

    Not only are there design

    constraints in working with

    metamaterials, but they also

    require a high level o con-

    trol over their structure. In

    act, a metamaterial derivesits propertiessuch as its

    electromagnetic cloaking

    rom its structure rather

    than its chemical composi-

    tion. So, as one might imag-

    ine, being able to design and

    then abricate these complex

    structures is no easy eat.

    Metamaterials usually

    have a airly complex struc-

    ture, with a large num-

    ber o design parameters,

    including architectural

    parameters as well as elec-

    tromagnetic properties o

    the materials rom which

    they are constructed,explains CMIPs Urzhumov.

    Complex structure

    leads to very complex elec-

    tromagnetic response.

    Frequency spectra o meta-

    materials typically have

    lots o interesting eatures,

    most stemming rom elec-

    tric and magnetic reso-

    nances, says Urzhumov.

    While analytical models

    exist or a handul o simplegeometries and crude semi-

    analytical estimates can

    be made or certain other

    types o structures by intro-

    ducing approximations, it is

    virtually impossible to pre-

    dict the electromagnetic

    response o complex struc-

    tures without simulations,

    according to Urzhumov.

    The impact o model-

    ing and simulation tools inthe eld o metamaterials

    is not restricted to the sci-

    ence. It can also extend to

    business considerations, as

    well as helping to push the

    limits o our imagination.

    Simulation tools enable

    us to be creative and to

    quickly test new ideas that

    would be much more di-

    cult, time-consuming, and

    expensive to test in the lab,

    explains NASAs Wilson.

    The lms can be employed

    in the abrication o

    microbolometers and bima-terial ocal plane arrays,

    where the absorption char-

    acteristic can be engineered

    to match the requency o

    the source, signicantly

    improving the eciency

    o the imaging system.

    One o the leading

    research organizations in

    metamaterialsand the

    one perhaps most closely

    associated with the cloak-

    ing eects o metama-terialsis the Center

    or Metamaterials and

    Integrated Plasmonics

    (CMIP) at Duke University,

    led by David R. Smith.

    CMIP is also working on

    nding ways o compen-

    sating near-eld decay in

    ree space or open air.

    In ongoing work at

    CMIP, Yaroslav Urzhumov,

    an assistant research pro-essor, and others are

    working with Toyota

    Corporation to abricate

    magnetic metamaterials

    or wireless power transer

    or electrical vehicles (EVs).

    When one imagines

    how such a wireless trans-

    er o power could be

    achieved, one usually con-

    jures up devices incor-

    porating microwave or

    laser technology. Both o

    these technologies come

    with the obvious inherent

    risk o rying the device

    being charged, however.

    Just as Smith and his

    CMIP colleagues devel-

    oped metamaterials that

    made it appear as thoughan object had disap-

    peared using electromag-

    netic cloaking, they have

    now created a lens (Figure

    3) made rom metamate-

    rials that can ocus low-

    requency elds in such a

    way that it makes the dis-

    tance between the power

    source and the device

    being charged disappear.

    Making a source appearcloser than it really is with

    the aid o metamaterial-

    based lenses is just one o

    the tricks that the novel

    concept o transorma-

    tion optics has predicted.

    Transormation optics is an

    engineering methodology

    based on the idea o warp-

    ing, bending, or squeezing

    physical space, as electro-

    magnetic waves or elds seeit. While cloaks and fat-

    tened sh-eye lenses (see

    the Maxwell sh-eye lens

    above) are examples o space

    warping, even more trivial

    coordinate transormations

    like space squeezing are o

    tremendous practical use,

    as they reduce the device

    dimensions without deterio-

    M E T A M A T E R I A L S S p e c i a l A d v e r t i s i n g S e c t i o n

    A modied Maxwell sh-eye lens with two fattened suraces or two-dimensional microwave propagation, experimental sample. The fatten-ing o a normally circular Maxwell lens shape is accomplished with quasi-conormal transormation optics theory. IMAGE: JOHN HUNT (DUKE UNIVERSITY)

    As or mepersonally, I

    discovered entirely

    in a COMSOLsimulation thatthese cloaks canperorm extremelywell in the short-wavelength limit.YAROSL AV URZHUMOV,DUKE UNIVERSITY

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    S 7COMSOL MULTIPHYSICSJUN E 20 12

    When we nd an idea that

    works, we can optimize the

    desired eect and thus spec-

    iy the design to be built.

    But ultimately, science

    considerations are para-

    mount when working with

    metamaterials. I one wants

    metamaterial-based devices

    to unction properly, precise

    knowledge o the response

    at each requency o inter-

    est is needed, making accu-

    rate requency-domain sim-

    ulations a requirement.

    Its become clear thatsimulation is absolutely

    necessary in working with

    structures that have arbi-

    trary, inhomogeneous,

    time-dependent, and non-

    linear electromagnetic

    properties, as seen in meta-

    materials. But not all sim-

    ulation tools have these

    capabilitiesand i they

    do, theyre quite limited.

    According to NPSsAlves, modeling and sim-

    ulation tools have been

    exceptionally helpul in the

    design and analysis o the

    metalms he and his col-

    leagues are developing.

    One o the most signi-

    cant design constraints in

    our work is the lack o an

    analytical model that com-

    pletely explains the inter-

    actions o all involvedparameters, explains

    Alves. The numerical sim-

    ulations ll this gap. The

    fexibility o COMSOL

    Multiphysics allows us to

    deal with several degrees

    o reedom simultane-

    ously. Furthermore, mate-

    rial properties can be

    tuned by tting the mea-

    sured and simulated

    data, improving the accu-

    racy o uture designs.

    Flexibility and versatil-

    ity are key requirements

    or a modeling and sim-

    ulation tool when work-

    ing with metamaterials.

    The use o COMSOL

    Multiphysics allows us to

    analyze the perormance o

    the sensors in many ways,

    (Figure 6) says Alves. In

    the specic case o the

    bimaterial sensor, RF sim-

    ulations were conducted to

    obtain the amount o radi-

    ated power absorbed by

    the metalms. This poweris converted into heat that

    fows through the sensor

    and is exchanged with the

    environment. This phenom-

    enon can be studied using

    heat transer simulations.

    Ultimately, structural

    mechanics simulations eval-

    uate the deormation in

    the bimaterial structures,

    which is the eect to be

    probed by the external read-out, according to Alves. This

    is all done in a single run.

    This process would be

    exceedingly dicult with-

    out the help o multiphys-

    ics simulations, says Alves.

    We appreciate the ver-

    satility o all boundary

    conditions and excita-

    tion types that can be used

    in all types o studies in

    COMSOL, says Urzhumov.One eature in particu-

    larthe ability to speciy

    a given background eld

    and use it as an excitation

    has been truly enabling

    or many o our projects.

    COMSOL Multiphysics

    can do much more than just

    modiy all boundary condi-

    tions: It allows or changes

    to the equations themselves.

    I routinely insert addi-

    tional polarization den-

    DISCOVERIESAND APPLICATIONSENABLED BY MODELING

    AND SIMULATIONURZHUMOV CREDITS

    much o the success o his

    research to being able to

    use modeling and simu-lation tools to open up

    new avenues o discovery.

    According to

    Urzhumov, one o unique

    eatures o COMSOL

    is its ability to per-

    orm a sensitivity anal-

    ysis semi-analytica lly,

    which enables quick gra-

    dient-based optimiza-

    tion with a huge num-

    ber o design parameters.With the help o the

    numerical optimization in

    COMSOL I could extend

    my fuid cloak solu-

    tion (Figure 2) into the

    strongly nonlinear fow

    regime, where analyti-

    cal solutions are almost

    impossible to obtain,

    says Urzhumov.

    FIGURE 6: COMSOL simulation (deormation analysis) o theBi-material sensor integrated with the THz sensitive metalm. Themetalm in the center absorbs THz and transer the heat to the mul-tiold legs that bend proportionally to the absorbed radiation. Theamount o bending can be accessed using optical readouts.IMAGE: FABIO ALVES (NAVAL POSTGRADUATE SCHOOL (NPS) )

    sities that describe the

    response o a dispersive

    medium, such as a metal at

    optical requencies, which

    allows me to model neg-

    ative-index metamateri-

    als in the time domain,

    says Urzhumov. Thisextra polarization den-

    sity is merely an extra term

    in the main electromag-

    netics equation that cou-

    ples it to an extra equation

    describing the evolution o

    that polarization density.

    In act, the most noted

    quality o metamateri-

    als, their ability to cloak

    objects electromagneti-

    callythe so-called invisi-bility cloakwas predicted

    entirely by simulation,

    according to Urzhumov

    As or me person-

    ally, I discovered entirely

    in a COMSOL simula-

    tion that these cloaks can

    perorm extremely well

    in the short-wavelength

    limit, says Urzhumov.

    S p e c i a l A d v e r t i s i n g S e c t i o n M E T A M A T E R I A L S

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    S 8 COMSOL MULTIPHYSICS JUN E 2012 + ONLINE: www.comsol.com/mechanical

    cooling channel patterns

    in an automated ash-

    ion, using advanced sim-

    ulation tools as opposed

    to a traditional trial-and-

    error design approach.

    Dede carried out this

    work as part o TRI-NAsmission to conduct accel-

    erated advanced research

    in the areas o energy and

    environment, saety, and

    mobility inrastructure.

    TRI-NA is a division o the

    Toyota Technical Center,

    which in turn is part o

    Toyota Motor Engineering

    & Manuacturing North

    America, in charge o R&D,

    engineering design anddevelopment, and manuac-

    turing activities or Toyotas

    North American plants.

    TRI-NAs Electronics

    Research Department

    ocuses on two main areas:

    1) sensors and actuators and

    2) power electronics. Among

    its resources are powerul

    modeling and simulation

    capabilities and prototype

    design tools, which enableits sta to develop eective

    solutions in the compressed

    time rames demanded

    by the highly competi-

    tive automotive markets.

    HOT UNDER THE HOODTOYOTA HYBRID vehicles

    have sophisticated electri-

    cal systems in which many

    ONE GLANCE UNDER the hood o a modern automobile is all it takes to realize that ree

    space in the engine compartment is a thing o the past.

    I carmakers could reduce the number, size, and weight o the components in there, bet-

    ter uel economy would result. A case in point is the design and development o optimized

    cooling structures, or advanced heat sinks, or thermally regulating the growing number o

    power electronics components used in the electrical system o Toyota hybrid vehicles.

    To save the time and expense associated with analytical design methods and trial-and-error physical prototyping, researchers at the Toyota Research Institute o North America

    (TRI-NA) in Ann Arbor, Mich., instead used numerical simulation and multiphysics topol-

    ogy optimization techniques to design, abricate, and test possible prototypes o a novel

    heat sink or uture hybrid vehicle generations.

    One prototype example combines single-phase jet impingement cooling in the plates

    center region with integral hierarchical branching cooling channels to cool the periphery.

    The channels radiate rom the devices center, where a single jet impinges, and carry liquid

    coolant across the plate to dissipate heat evenly throughout, with minimal pressure loss.

    Numerical simulations enabled Dr. Ercan (Eric) Dede, principal scientist in TRI-NAs

    Electronics Research Department, and his colleagues to produce the optimized branching

    NUMERICAL SIMULATION-BASEDTOPOLOGY OPTIMIZATIONLEADS TO BETTER COOLINGOF ELECTRONIC COMPONENTS

    IN TOYOTA HYBRID VEHICLES

    ByGARY DAGASTINE

    The Toyota Research Instituteo North Americas topologyoptimization team includes

    (rom let) Ercan Dede Ph.D.,principal scientist; JaewookLee Ph.D., researcher; andTsuyoshi Nomura Ph.D.,senior principal engineer.

    E L E C T R O N I C S C O O L I N G S p e c i a l A d v e r t i s i n g S e c t i o n

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    S p e c i a l A d v e r t i s i n g S e c t i o n

    S 9COMSOL MULTIPHYSICSJUN E 20 12

    power diodes and power

    semiconductors, such as

    insulated gate bipolar tran-

    sistors (IGBTs), are used or

    power conversion and other

    applications. These compo-

    nents are standard planar

    silicon devices measuring

    a ew centimeters per side,

    with high power dissipation.

    In these hybrid vehicles,

    they are mounted on alu-

    minum heat sinks, or cold

    plates, through which a

    water-glycol coolant mix-

    ture is pumped. In earliermodel years, the cold plate

    design eatured a uid inlet

    on one side o the plate and

    an outlet on the other side;

    in between were arrange-

    ments o mostly straight

    cooling channels through

    which the coolant owed.

    The long channels pro-

    vided adequate heat trans-

    er, but it came at the cost

    o a signicant pressuredrop across the plate.

    The technology road

    map or these power com-

    ponents, however, calls or

    them to shrink to about hal

    their current size while dis-

    sipating the same amount

    o power, meaning that heat

    uxes will have to increase.

    In addition, although they

    have a 150 C maximum

    operating temperature, sil-icon devices are normally

    kept at lower tempera-

    tures or greater component

    reliability. Furthermore,

    the role o such devices is

    becoming more impor-

    tant as the electrication o

    vehicle systems increases.

    All o these actors mean

    that the thermal man-

    agement o these devices

    will become more difcult

    than it has been to date.

    It might seem reason-

    able simply to redesign the

    cold plates so that more

    coolant can be pumped

    through them. But that

    would require more pump-

    ing power, and with space

    already at a premium in theengine compartment where

    the pump is located, mov-

    ing to a larger, more power-

    ul pump or adding an addi-

    tional pump is unacceptable.

    Instead, Toyota decided

    to look at re-engineering

    the cold plate with an eye

    toward achieving optimum

    heat transer along with

    negligible additional pres-

    sure drop. I both could beachieved, thermal objectives

    could be met with no need

    to signicantly increase

    system pumping capacity.

    JET IMPINGEMENT ANINCOMPLETE SOLUTION

    MANY RESEARCHERS work-

    ing on diverse applications

    have identied jet impinge-

    One solution to this

    problem is to combine jet

    impingement with a periph-

    eral channel structure to

    increase the area-aver-

    age heat transer. Its in

    your interest to make thosechannels short to keep pres-

    sure drop to a minimum,

    but short, straight channels

    arent efcient enough or

    our needs, Dede explains.

    Our goal was to come up

    with a combination jet

    impingement/channel ow

    based cold plate with opti-

    mally designed branch-

    FIGURE 1: Optimal cooling channel topology, with uid streamlines colored blue (let), normalized temper-

    ature contours (center), and normalized pressure contours (right).

    FIGURE 2: Isometric views o the derived hierarchical micro-channel cold plate, without a jet plate (let) and with a jetplate, which is shown transparent or clarity (right).

    E L E C T R O N I C S C O O L I N G

    ment as an attractive way

    to cool suraces, says Dede.

    But while jet impinge-

    ment perorms well with

    respect to heat dissipa-

    tion close to the jet, its less

    than optimal as you moveaway rom the orice.

    The reason is that the

    greatest heat transer occurs

    close to the jet entrance,

    where the uid is the cool-

    est and velocity is the high-

    est. As a result, much heat-

    transer capability is lost by

    the time the coolant reaches

    the exit o the cold plate.

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    S 10 COMSOL MULTIPHYSICS JUN E 2012 MATLAB is a registered trademark of The MathWorks, Inc.

    ing study. Dedes group had

    separately perormed such

    studies, so his assump-

    tions were well inormed.

    Ultimately, these

    numeric simulations pro-

    duced an optimal coolingchannel topology with uid

    streamlines in branching

    channels (see Figure 1).

    Because these chan-

    nels efciently distrib-

    ute coolant throughout

    the plate and create rela-

    tively uniorm tempera-

    ture and pressure distribu-

    tions that are a unction o

    branching complexity, this

    ractal-like topology wasin turn used to guide the

    design o a cold plate pro-

    totype (see Figure 2). The

    size o the plate was set to

    approximately 60 by 45

    millimeters, with a mid-

    dle cooling zone cover-

    ing a 25- by 15-mm area

    to match a specic heat

    source. The plates base

    ing channels to uniormly

    remove the most heat with

    the least pressure drop.

    The CFD and Heat

    Transer Modules o

    COMSOL Multiphysics

    sotware were essential to

    the numerical simulations

    at the heart o this work.

    COMSOLs LiveLink or

    MATLAB also enabled

    Dede to work with the mul-

    tiphysics simulations in a

    high-level scripting lan-

    guage as he went about

    the task o optimizing thecold plates topology.

    He examined how topol-

    ogy inuenced such vari-

    ables as steady-state con-

    vection-diusion heat

    transer and uid ow. He

    did this using well-estab-

    lished material interpo-

    lation techniques and a

    method o moving asymp-

    totes (MMA) optimizer,

    moving back and orthbetween COMSOL and

    MATLAB in an iterative

    ashion to investigate cool-

    ing channel layouts. (MMA

    is a convex-approximation

    strategy to aid in optimiz-

    ing physical structures.)

    Although the aspect

    ratio o the channels (i.e.,

    the ratio o height to width)

    is quite important, to sim-

    pliy the numerical sim-ulations Dede assumed

    a thin 3-D structure and

    then urther attened it.

    Once an initial channel

    topology was derived, the

    height o the ns that sep-

    arate the cooling chan-

    nels could be investigated

    and incorporated with a

    separate parametric siz-

    FIGURE 3: Prototype aluminum cold plates with (let) and with-out (right) the hierarchical microchannel topology.

    FIGURE 4: Comparison o cold plate unit thermal resistance (top) andpressure drop (bottom).

    FIGURE 5: Multichip applica-tion (let) and multipass confg-uration or single-chip package.

    4X device

    4X substrate

    4X cooling cell (single pass)

    Device Substrate

    Cooling cell (multi-pass)

    E L E C T R O N I C S C O O L I N G S p e c i a l A d v e r t i s i n g S e c t i o n

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    S 12 COMSOL MULTIPHYSICS JUN E 2012 + ONLINE: www.comsol.com/mechanical

    (TPMS) driven by motion.

    TPMSs are tradition-

    ally powered by batteries,

    they tend to be mounted

    on the wheel rim. With

    no reliance on a bat-

    tery, such a system couldbe placed inside the tire

    (see Figure 1) and would

    be in a position to mea-

    sure much more than

    pressure. It could moni-

    tor temperature, riction,

    wear, and torque; assist

    with optimal tracking and

    engine control; and con-

    vey all this critical inor-

    THE DESIRE TO eliminate batteries and power lines is moti-

    vating a wide range o research. In the quest or systemsthat are energy autonomous, the concept o energy har-

    vesting is attracting a great deal o attention. Combine this

    idea with operation at the micro level, and the what i

    scenarios become even more enticing.

    For researchers at Siemens Corporate Technology in

    Munich, exploring the potential o an energy-harvesting

    microelectromechanical system (MEMS) generator holds

    strong appeal. As Ingo Kuehne, a senior engineer explains,

    Our mandate is broad. We are looking to develop platorm

    technologies or tomorrow rather than specic products;

    MODELINGOPTIMIZES APIEZOELECTRICENERGYHARVESTERUSED INCAR TIRESSiemens is using uid-struc-ture interaction simulationto ensure the cost efective

    optimization o a cantileverin a MEMS generatordesigned to power a tirepressure monitoring system.

    ByJENNIFER HAND

    FIGURE 1: Two TPMS mounting options: on the rim or on the innerlining o the tire.

    FIGURE 2: Schematic o the piezoelectric MEMS generator energyharvester. The cantilever is made o two materials, and electricalenergy is transerred through the circuit rom the cantilever.

    however, it makes sense to

    demonstrate the value o

    our research. Together with

    our partner Continental

    AG, we decided to ocus on

    an application with clear

    commercial potential. Ourultimate goal is to design

    the MEMS generator to be

    as small, light, and strong

    as possible, with enough

    energy to power a sys-

    tem under a range o con-

    ditions. The researchers

    chose to design a microgen-

    erator or an innovative tire

    pressure monitoring system

    TPMS MOUNTING

    RIM

    TIRETREAD

    SHUFFLE

    Attherim

    valvehole

    On inner linerof the tire

    CARRIER

    PIEZO

    CANTILEVER

    M E M S E N E R G Y H A R V E S T E R S S p e c i a l A d v e r t i s i n g S e c t i o n

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    S 14 COMSOL MULTIPHYSICS JUN E 2012

    M E M S E N E R G Y H A R V E S T E R S

    excitation, says Alexander

    Frey, a senior engineer.

    We had to adopt an uncon-

    ventional approach and

    avoid mass and its concen-

    tration. This in turn gave

    us a more serious problem,

    because damping becomesmuch more critical.

    The big question or the

    Siemens team was how

    to optimize the design

    o the cantilever in order

    to minimize damping. It

    appeared that air damp-

    ing was the dominant

    eect, and the aerody-

    namic prole was a criti-

    cal parameter. A lthough

    the cantilever area waslimited to 100 square mil-

    limeters, the layer thick-

    nesses were design param-

    eters that could be reely

    changed. We needed

    to nd suitable values

    or these parameters so

    that we could ensure that

    the mechanical oscilla-

    tion would continue or

    FIGURE 4: 2-D simulations o FSI on a cantilevers defec-tion at a gas pressure o 1 bar or various carrier thicknesses.

    FIGURE 6: A 3-D FSI simulation showing the defection o the triangular cantilever.

    FIGURE 5: 3-D simulations o FSI on a cantilevers defection asa unction o gas pressure, with a carrier thickness o 250 m.

    S p e c i a l A d v e r t i s i n g S e c t i o n

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    S p e c i a l A d v e r t i s i n g S e c t i o n

    S 15COMSOL MULTIPHYSICSJUN E 20 12

    M E M S E N E R G Y H A R V E S T E R S

    as long as possible and

    transer as much o the

    mechanical energy as

    possible to the electrical

    domain, says Frey. We

    really needed a numeri-

    cal tool to determine the

    optimal structure and

    ensure that enough energy

    was being produced.

    FLUID AND STRUCTURE:AN OPEN RELATIONSHIPHAVING IDENTIFIED THE

    transer o mechanical

    energy to the surround-ing air as a critical process,

    the team rst conducted a

    fuid-structure interaction

    (FSI) analysis o the can-

    tilever. Kuehne explains:

    We started with static sim-

    ulations, and these gave us

    some initial values. Then

    a time-dependent anal-

    ysis allowed us to see a

    range o physical eects

    and understand the impacto the surrounding air on

    the damping o the cantile-

    ver. (See Figures 3 and 4.)

    Members o the team

    went on to conduct a 3-D

    FSI simulation and to con-

    sider the cantilever defec-

    tion as a unction o exter-

    nal pressure and carrier

    thickness (see Figures 5

    and 6). They examined the

    maximum stress required

    or initial defection at

    each thickness. With this

    analysis, Frey says, we

    conrmed quantitatively

    that increasing the thick-

    ness o the cantilever led

    to an improvement in

    the damping behavior o

    the MEMS harvester.

    OPTIMIZING THE CANTI-LEVERS SIZE AND SHAPE

    WITH COMSOL Multiphysics

    simulation sotware, we

    learned how to numeri-cally describe the behav-

    ior o our structure, which

    allowed us to conduct

    research in the labora-

    tory, says Kuehne. In

    order to compare the simu-

    lated behavior with experi-

    ments, the cantilever was

    periodically excited, and

    the piezoelectric voltage

    generated was recorded.

    Comparison o the sim-ulation with physical test-

    ing revealed that the over-

    all damping behavior

    was actually higher, says

    Kuehne. The obvious

    explanation was that we

    were losing energy because

    o intrinsic losses in the

    material. We assumed an

    accepted value or this

    internal damping, and

    out. Testing takes a urther

    two months. In particu-

    lar, the extra expense o a

    clean room inrastructure

    results in development costso more than 100,000 or

    a single prototype run over

    six months. In contrast, you

    can measure a 2-D simu-

    lation in hours and a 3-D

    simulation in days. In that

    amount o time it is easy

    to simulate the peror-

    mance o up to 2,000 di-

    erent prototypes within

    COMSOL Multiphysics.

    Frey concludes:Without COMSOL and the

    option o numerical mod-

    eling, we would have to

    make numerous physical

    structures, which would

    have been time-consum-

    ing and expensive. Instead,

    we were able to get on with

    the process o optimiz-

    ing the MEMS design.FIGURE 7: Prototype o a piezoelectric MEMS energy-harvesting module and the surrounding system.

    ater taking these correc-

    tion actors into account,

    we arrived at the same

    results. This reassured us

    that our simulation pro-cess with COMSOL was

    reliable and that we could

    continue to investigate the

    perormance o the cantile-

    ver using dierent param-

    eter values. The team was

    then able to move on to

    optimizing system com-

    ponents and system inte-

    gration (see Figure 7).

    The use o COMSOL

    was critical to the develop-ment o the physical proto-

    types. According to Kuehne,

    it takes three people our

    months to do one techno-

    logical run, which typi-

    cally consists o one batch

    o up to 25 waers. One

    run usually results in a

    couple o complete proto-

    types, depending on lay-

    Kuehne holding one o the waers used in the production o theMEMS energy harvester prototypes.

    Energy-managementASIC

    PiezoelectricMEMSharvester

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    S 16 COMSOL MULTIPHYSICS JUN E 2012 + ONLINE: www.comsol.com/mechanical

    and operation o a pro-

    cess to retrieve and treat

    the INL calcine. The proj-ect is known as the Calcine

    Disposition Project (CDP).

    HOT ISOSTATICPRESSINGTHE CDP PROCESS will

    remove the calcine rom

    the storage bins, place it

    in stainless-steel contain-

    ers, and process it using a

    THE IDAHO NATIONAL Laboratory (INL), owned by the U.S.

    Department o Energy (DOE), has been engaged since

    1992 in the Idaho Cleanup Project (ICP) to clean up and

    dispose o radioactive material stored at the site. The

    ICP is the result o the INL having received spent nuclear

    uels rom reactors all over the world starting in 1952.

    From 1953 to 1992, the INL operating contractors recov-

    ered unused, highly enriched uranium rom the spent

    nuclear uel via a procedure known as uel reprocessing.Fuel reprocessing at this acility consisted o dissolving

    the spent uel to generate an aqueous solution consisting o

    the dissolved uel cladding, unused uranium, and the s-

    sion/activation products. The uranium was then separated

    rom the aqueous solution via a solvent extraction technique.

    Ater the uranium was separated, the ranate (waste solu-

    tion) was temporarily stored in underground tanks; then

    it was solidied using a high-temperature drying process

    known as calcination. The calcination process produced a

    small, granular product (0.30.7 millimeters) known as cal-

    cine. Calcination o the uel reprocessing ranate occurred

    rom 1962 through 2000 and generated 4,400 cubic meterso calcine that are stored in several large storage bins.

    The INL calcine contains the bulk o the ssion and acti-

    vation products originally in the spent uel. As a result, it is

    highly radioactive and is classied as high-level waste. In

    addition, the calcine contains some Resource Conservation

    and Recovery Act (RCRA) metals. The combination o

    radionuclides and RCRA metals makes calcine a mixed

    waste. Some o the radionuclides and RCRA metals in the

    calcine are in a leachable orm, and thereore this calcine

    is not in an acceptable state or waste disposal. Prior to

    A SOLUTION TO TREATINGNUCLEAR WASTE COMES VIAMODELING AND SIMULATIONSimulations enable nuclear waste solutionto come faster and cheaper than expected

    ByDEXTER JOHNSON, PROGRAM DIRECTOR, CIENTIFICA & BLOGGER, IEEE SPECTRUM ONLINE

    FIGURE 1: Representation o HIP Can lledwith Calcine or COMSOL Analysis.

    N U C L E A R W A S T E T R E A T M E N T S p e c i a l A d v e r t i s i n g S e c t i o n

    disposal, the calcine must

    be retrieved rom its cur-

    rent storage location andtreated so as to immo-

    bilize the radionuclides

    and RCRA constituents.

    Currently, DOE has con-

    tracted with CH2M-WG

    Idaho, LLC (commonly

    known as CWI) to per-

    orm conceptual design

    and test work to support

    the uture construction

    Cooling jacket

    Pressure vessel

    Pressurized gas

    Heater

    HIP can

    HIP can

    protective cage

    Thermocouple

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    S p e c i a l A d v e r t i s i n g S e c t i o n

    S 17COMSOL MULTIPHYSICSJUN E 20 12

    hot isostatic press (HIP).

    The HIP process creates

    a glass-ceramic (mineral-

    like) waste orm that is sta-

    ble, immobilizes the radio-

    nuclides and RCRA metals,

    and can be placed in a dis-

    posal repository with min-

    imal risk to the environ-

    ment. The HIP process is

    airly common in manu-

    acturing. It simultane-

    ously applies heat and pres-

    sure to powdered materials

    like metals and ceramics

    to create various shapesthat are dicult or impos-

    sible to orge or cast.

    The CDP is compli-

    cated by signicant time

    and budget constraints.

    The CDP aces dead-

    lines imposed by a settle-

    ment agreement between

    the state o Idaho and

    DOE to have the calcine

    processed and ready to

    leave the state by 2035.At this stage o the CDP,

    a stainless-steel container

    must be designed that

    can hold the radioactive

    calcine and then be sub-

    jected to the HIP process.

    The resulting container

    is reerred to as the HIP

    can among the engineers

    working on the project.

    TESTING WITH ARADIOACTIVE MATERIAL

    ITS QUITE DIFFICULT to

    actually work with the

    radioactive calcine. There

    are obvious risks and costs

    involved in handling it,

    making it very dicult

    to veriy whether the HIP

    process will be efective

    by working directly with

    the radioactive material.

    This is why CDP has

    adopted a virtual test-

    ing program, validated by

    physical tests with surro-

    gate calcine, which departs

    rom traditional meth-

    ods o testing and design,explains Vondell J. Balls,

    project engineer with the

    CDP. Beore the advent

    o high-perormance com-

    puters and sophisticated

    analysis programs, engi-

    neers would have an idea

    and then go to a shop to

    build it, test it, and break

    it and then go back into

    the design shop and make

    changes and then go back

    out again to build and test

    it until they iterated onto

    their nal design. What

    were doing or the HIP can

    development and design is

    to use COMSOL and other

    analysis sotware as our

    virtual test platorm. We

    model, simulate, and test

    virtually, and then we per-

    orm physical tests with

    surrogate calcine to veriy

    and validate the model.

    Because the radioactivematerial is so cost-prohib-

    itive to work with, the rst

    ull-scale HIP can con-

    taining the INLs radioac-

    tive calcine will probably

    be created when the HIP

    plant rst comes on line

    10 to 15 years rom now.

    Currently, the benchmark-

    ing that is done involves

    nonradioactive simulated

    calcine, which permitsaccurate predictions about

    the treatment o radioac-

    tive calcine beore actual

    processing begins. Small-

    scale tests with radioac-

    tive calcine will then be

    perormed to conrm

    the results obtained with

    the surrogate calcine.

    While COMSOLs mod-

    eling and simulation sot-

    ware allows or testing andverication that would be

    dicult in a real-world

    environment, it has also

    demonstrated that the

    design o the HIP contain-

    ers can be ar simpler than

    was originally anticipated.

    When we started this

    project a couple o years

    ago, experts were telling us

    FIGURE 2: Densication and temperature using derivedvolume change coefcient

    What weredoing for the

    HIP can develop-ment and design isto use COMSOLand other analysissoftware as ourvirtual test platform.VONDELL J. BALLS ,PROJECT ENGINEER,CDP ENGINEER

    N U C L E A R W A S T E T R E A T M E N T

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    S 19COMSOL MULTIPHYSICSJUN E 20 12

    S p e c i a l A d v e r t i s i n g S e c t i o n

    + ONLINE: www.comsol.com/electrical

    SINCE THE 1960S, spinal

    cord stimulation (SCS)

    has been used to alleviate

    chronic back and leg pain.

    The process involves surgi-cally implanting a series o

    electrodes, which are used

    to apply electrical poten-

    tials directly to the spine

    (see Figure 1). Although

    approximately 30,000 such

    procedures are perormed

    each year, there is still not

    a precise understanding o

    SCSs mode o action. SCS

    somehow intereres with

    the human pain signal-ing circuitry. In the past

    15 years, researchers have

    begun to develop a more

    detailed understanding

    o the eects o this stim-

    ulation. What makes the

    method attractive is that it

    is known to have benecial

    results without many o the

    side eects o long-term

    pharmacological treatment.

    One o the phenomenaassociated with this treat-

    ment is that it remains

    eective or many years,

    although over the course

    o time the stimulation

    generally has to be repro-

    grammed to modiy the

    original parameters. As

    early as our to six weeks

    ater the electrode is

    MODELING SCAR EFFECTS INELECTRICAL SPINAL CORD STIMULATION

    B I O M E D I C A L E L E C T R O M A G N E T I C S

    Discussing the spinal cord stimulation modeling results. From the let Mr. Kris Carlson, Dr. Jerey Arle,and Dr. Jay Shils. All with the Neuromodulation Group at Lahey Clinic in Burlington, MA.

    FIGURE 1: X-ray image o astimulator electrode array onthe spinal cord or treatment ochronic back pain.

    BY EDWARD BROWN

    implanted, scarring occurs

    at the interace o the elec-

    trode and the surrounding

    tissue. Paradoxically, while

    this helps keep the paddle

    that holds the electrodes

    securely in place, it alters

    the electrical characteris-

    tics o the system, so thatthe stimulation has to be

    reprogrammed. The repro-

    gramming is generally done

    through trial and error.

    Research into this phe-

    nomenon was perormed

    by Jerey Arle, a neuro-

    surgeon with a degree in

    computational neurosci-

    ence; Jay Shils, who has

    a background in electri-

    cal engineering and com-

    putational neurophysiol-

    ogy; and Kris Carlson, who

    has expertise in program-

    ming and along with Shils

    has become an expert in

    the use o COMSOL sot-

    ware. They are all with the

    Neuromodulation Group at

    Lahey Clinic in Burlington,

    Mass., and have con-

    cluded a study based on the

    hypothesis that the orma-

    tion o relatively higher-resistance scar tissue alters

    the impedance seen by the

    implanted electrodes, which

    in turn alters the pattern o

    the electric eld distribu-

    tion. It was their thesis that

    a 3-D mathematical model

    could be used to accurately

    predict these changes and

    dene the necessary cor-

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    S 20 COMSOL MULTIPHYSICS JUN E 2012

    B I O M E D I C A L E L E C T R O M A G N E T I C S

    are either activated or not, based on

    the strength o electrical stimulation,

    which is governed by the gradient

    o the potential eld. This is signi-

    cant because its the axons that carry

    the pain control signals to the brain.

    The team wanted to learn just how

    the implanted electrodes treated the

    pain. So part o the process was mod-

    eling the circuitry in the spinal cord

    and the eects o the electricity on that

    circuitry. In order to get to that stage,

    they had to understand exactly what

    in the spinal cord actually gets stimu-

    lated. Thats where the COMSOL sot-

    ware came into model the electricelds rom the electrodes them-

    selves and all o the tissue character-

    istics they pass through, says Arle.

    The spinal cord is essentially foat-

    ing in cerebrospinal fuid (CSF), which

    is in turn surrounded by a tube-like

    membrane called the dura. The stim-

    ulating electrodes sit outside the dura,

    which is tough and electrically resistive.

    The dierent materials have very di-

    erent conductivities, that o the dura

    being low and that o the CSF being acouple o orders o magnitude higher.

    To study the electrical environment,

    the team created a nite element

    model o the gray and white matter in

    the cord, dura, cerebrospinal fuid, epi-

    dural tissue, scar tissue, and stimu-

    lator electrodes. The gradients o the

    system are aected by the relative con-

    ductivities o these dierent materials.

    One reason an accurate model is

    required is that the potential eld

    can vary along the length o the spi-nal cord. Its possible that at one point

    there isnt a high enough potential

    gradient to generate an activation

    potential at the neuron, while 0.5 or

    1 millimeter away you may have that

    critical gradient. These variations can

    occur or a number o dierent rea-

    sons. The electrode geometry may be

    dierent; the material may not be

    uniorm, or instance, the dura itsel

    rective modication o the stimulus

    pattern. Reprogramming the stimu-

    lation accordingly could then reverse

    the deterioration in the perormance

    o the treatment that is oten observed.

    MODELINGDRAWING ON EXTENSIVE earlier work

    done by their group, the three had agreat deal o data that included pre-

    cise measurements o the spinal cord

    segments and estimations o the num-

    bers o neurons in each and the num-

    bers o each type o neuron. They were

    also able to draw on detailed published

    work on the so-called white matter,

    (or axonsthe wiring that carries

    signals rom neurons in the spine up

    to the brain). Their plan was to store

    this data as a digital database so that

    it could be accessed and manipulated.This database was then used to build a

    3-D model o the spinal cord, one that

    was much more accurate than any-

    thing that had been done in the past.

    The basic structure o the model

    was built using the SolidWorks CAD

    platorm. The SolidWorks model

    could then be imported into COMSOL

    Multiphysics so as to solve some o the

    critical problems encountered with

    SCS. The great advantage o COMSOL

    is that you can not only import CAD

    rom SolidWorks, but you can subse-

    quently make changes in these geome-

    tries, press a button, and these changes

    appear in the COMSOL model with-

    out losing any o the settings or mate-rial properties, says Carlson.

    COMPUTINGTHE GOAL OF this particular proj-

    ect was to examine to what extent

    scar ormation aects the electrical

    eld distribution between the elec-

    trodes and axons. This is important

    because the axons running through

    the spinal cord (the white matter)

    S p e c i a l A d v e r t i s i n g S e c t i o n

    FIGURE 2: The geometry created inSolidWorks (let), imported into COMSOLMultiphysics, yields the most com-plex model o its kind created to date.Most work by medical device compa-

    nies is done in 2-D. The 3-D model cre-ated by Lahey Clinic has 432 possible con-fgurations o scar and electrode.

    FIGURE 3: View o the stimulator array onthe spinal cord, with scars, electric feld

    isopotential, and contour lines. Scar con-ductivity is initially set to that o tis-sue, and anodes (red) properly shieldcathode (blue) feld rom unwantedregions and toward center target.

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    S 21COMSOL MULTIPHYSICSJUN E 20 12

    might not be uniorm across the cord;

    or there may be material such as scar-

    ring that could give one area o the

    cord a higher resistivity than another.

    There are also variations o the poten-

    tial eld in the cerebrospinal fuid

    along dierent parts o the cord.

    Using SolidWorks and COMSOL

    together made it very easy to change

    the geometry with SolidWorks and

    study the resulting changes in con-

    ductivities and permittivities with

    COMSOL, says Shils. This meant

    that the output o the simulation

    could be spatially added to a model

    that we have in-house o a neural net-work. This gives us a more accurate

    understanding o where the action

    potentials are occurring in the spi-

    nal cord, and given some o the com-

    plexities, it was nice to be able to

    show that a little change in one place

    could really shit the energy gradient.

    Carlson explains how the team uses

    simulation in its work: We decided

    to do very sophisticated geometry,

    much more so than anything that had

    been done in the past. Not only 3-Das opposed to 2-D, but a much more

    accurate prole o the spinal cord.

    In the model, we set all the material

    parameters. We can play with those

    mainly the conductivities, and then the

    physicswe change the voltages, pulse

    widths, and requencies o the vari-

    ous electrodes. So or the scar study

    that the two doctors designed a year or

    so ago, we have an incredibly sophis-

    ticated geometry. There are 64 di-

    erent pieces o scar and 64 electrodepositions scattered on the surace o

    the spine, and each o those is very

    easy to manipulate in the sotware.

    Another great eature is that ater we

    run the simulation, we perorm a huge

    amount o post-processing. With the

    graphic eatures, we can run all di-

    erent kinds o ltering criteria and

    also export the data and perorm ur-

    ther post-processing in tools dedi-

    cated or the purpose (See Figure 3).

    The ormation o scar tissue

    changes the playing eld, says Arle.

    Usually, the programmer is let not

    knowing what the scar looks like

    exactly and trying to move the stim-ulation around to get the best treat-

    ment or the patient. Now, by add-

    ing only a little bit to the model, we

    can begin to see the distortion o the

    electrical elds caused by the scar

    ormation. The procedure is prov-

    ing to be extremely eective in imme-

    diately relieving pain once the pro-

    gramming is on target (See Figure 4).

    Its very important that you

    understand what youre doing with

    COMSOL Multiphysics, says Shils.You have to understand the phys-

    ics o what youre usingwhy youre

    using a certain model as opposed

    to another. The way you choose the

    meshing, which COMSOL allows you

    to do with great fexibility and pre-

    cision, is a critical part o the analy-

    sis. You choose the proper elements

    and then gure out what the edges

    are supposed to be. The next step

    is to choose the appropriate equa-

    tions, starting points, and meshing.

    Mesh quality is o particular impor-

    tance, especially around the curves o

    the axons, which is where most o the

    activation is located. I mesh resolu-tion is inadequate, we could miss the

    high points o the eld and gradients.

    WHATS NEXT?BY IMPORTING COMSOL data show-

    ing which nerve bers red into the

    groups own neural circuitry simula-

    tion sotware, they intend to unravel

    how SCS produces relie rom pain.

    Arle sums up his eelings about the

    project this way: In biological sys-

    tems in human anatomy and physiol-ogy systems, theres not a huge amount

    o work done on this kind o thing, as

    opposed to more engineering-based

    projects. You really need to understand

    the anatomy, the physiology, and the

    neuroscience, and then ramp this up to

    understand the mathematics and the

    physics. People are beginning to realize

    that you need to take this approach to

    really understand what were doing.

    FIGURE 4: Slice plot and contour values o electric feld projecting into the spinal cord.Top: Cross section o electrode array on the spinal cord. Let: Control with no scar.Right: Scar under let electrode reduces proper feld symmetry. Contrary to expectation, scartissue can result in higher feld values projecting into the spinal cord and too much stimulation.

    SolidWorks is a registered trademark of Dassault Systmes SolidWorks Corp.

    S p e c i a l A d v e r t i s i n g S e c t i o n B I O M E D I C A L E L E C T R O M A G N E T I C S

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    S 22 COMSOL MULTIPHYSICS JUN E 2012 + ONLINE: www.comsol.com/electrical

    THE HUGE ENGINEERING project o migrating the electrical

    grid to a smart grid mostly gets discussed in terms o IT

    issues or embedded systems, but the orgotten part o thestory is updating the nuts and bolts o the grid.

    The issue o modernizing items like transormers, cable

    joints, terminations, bushings, and ault current limiters

    (FCLs) are critical elements in what may turn out to be one o

    the largest engineering projects o the next decade.

    These parts o the grid will ultimately prove just as key

    to enabling the next-generation smart grid as any other

    aspect o it. And though these parts may seem humble

    on their own, it in act requires a lot o engineering to get

    them right.

    UPGRADING THE NUTS ANDBOLTS OF THE ELECTRICALGRID FOR A NEW GENERATIONFrom traditional to emerging technologies, the parts thatmake up the electrical grid are on a continuous path ofimprovement, supported by simulation and modeling tools

    ByDEXTER JOHNSON, PROGRA M DIRECTOR, CIENTIFICA

    & BLOGGER, IEEE SPECTRUM ONLINE

    S M A R T P O W E R G R I D S p e c i a l A d v e r t i s i n g S e c t i o n

    Large power trans-ormers, like thisrom ABB, are anexample o thecritical equipmentneeded to distrib-ute electricity inan ecient way.One type o eedbushings can beseen on top o thetransormer tank.IMAGE: COURTESYOF ABB

    HIGH-VOLTAGE CABLE JOINTS,TERMINATIONS, AND BUSHINGSITEMS INVOLVED WITH high-voltage

    cables, such as cable joints, cable termina-

    tions, and bushings, are oten overlooked.

    Cable joints are used to connect two

    power transmission cables (AC or DC).

    Cable terminations are used as end

    plugs or a cable that may later be con-

    nected to another cable or some added

    external equipment.

    Finally, bushings are devices that let

    conductors pass through a grounded

    wall. Bushings prevent ashover or

    breakdown when a high-voltage con-

    ductor is penetrating a metal wall. Inother words, each part o the grid is

    capable o bringing at least part o it

    down i its not properly engineered.

    The area o bushings and connectors

    is a eld that Gran Eriksson, a scien-

    tist with ABB AB Corporate Research

    Power Technologies in Sweden, has

    been addressing in his research.

    In particular, Eriksson has been

    looking at the problem caused by the

    use o increased voltages in mod-

    ern transmission systems. The aimo increasing the voltage is to reduce

    line current and the resulting resis-

    tive loss in the cables.

    Unortunately, the straightorward

    engineering solution o using larger

    equipment to avoid ashover or dielec-

    tric breakdown in insulators brings

    higher business costs. While there are

    always increasing demands or higher

    voltages and power ratings, at the

    same time there is a strong pressure to

    reduce the size and cost o equipment.

    ACCOMMODATING BUSINESS ANDTECHNOLOGICAL CONSIDERATIONSTHROUGH DESIGNONE METHOD ENGINEERS have

    employed or keeping the size o

    transmission systems to a minimum

    is the use o so-called eld grading

    materials (FGM), which have an elec-

    tric conductivity dependent on the

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    S p e c i a l A d v e r t i s i n g S e c t i o n

    S 23COMSOL MULTIPHYSICSJUN E 20 12

    local electric eld strength.

    While employing FGMs more

    evenly distributes eld than when no

    FGM is used, it is still necessary to

    ollow a careul and detailed optimi-

    zation procedure to keep the cost and

    size o the insulation to a minimum.

    When designing joints, terminations,

    and bushings correctly, problems arisethat are both electrical and thermal in

    nature, according to Eriksson. (Figures

    1-5 illustrate the diferent coupled phe-

    nomena involved in the simulation o

    an oil cooled DC bushing.)

    In all cases, there is a large poten-

    tial diference between the inner high-

    voltage conductor and the end o the

    grounded cable shield or the grounded

    metal wall, explains Eriksson. Very

    high electric elds are created that

    could result in a ashover or breakdowni no measures are taken (Figure 5).

    With the high eld and current lev-

    els, there will also be substantial resis-

    tive heating in these devices (Figure 2).

    In many cases, it is cable joints, termi-

    nations, and bushings that are the most

    stressed components in a transmission

    system, and their reliability is thereore

    crucial or overall perormance.

    The complexity o the problem

    necessitates the use o simulation and

    modeling tools, according to Eriksson.

    There is a strong connection among

    electromagnetic, thermal, and uid

    phenomena in the behavior o these

    systems, so the physics o the systems

    become quite involved.

    The physics are very complex

    and truly multiphysical, explainsEriksson. Many o the material

    parameters are dependent on the

    local electric eld strength and the

    local temperature.

    The electrical and thermal prob-

    lems are thereore strongly coupled.

    In addition, the thermal problem is

    requently coupled to the equations

    describing the ow o a cooling liquid

    or gas, which transports and removes

    the heat generated inside the device

    (Figures 3-4). For very large, high-voltage bushings there may also be

    mechanical considerations involved.

    With so many material and geo-

    metrical parameters involved, nding

    an optimized solution by experimen-

    tal prototyping and testing becomes

    practically impossible, besides

    becoming ar too costly and time-con-

    suming, says Eriksson. By employ-

    ing simulations instead, its possible

    S M A R T P O W E R G R I D

    FIGURE 1: Shows the axisymmetricgeometry. The main current is owingalong the inner high voltage conduc-tor (red). The interrupted groundedshield o the connected cable ismarked with black while blue denotesthe metallic oil container and the wall(both grounded). The FGM layer isshown as purple and grey denotesvarious non-ideal insulating materi-als. Finally, the upper boundary o the(yellow) oil volume connects this vol-

    ume to a much larger oil container.An open boundary condition or theuid ow is thereore applied there.

    to make ull-parameter optimizations

    and to evaluate proposed design con-

    cepts in a short time.

    The results obtained by using

    COMSOLs Multiphysics tool to improve

    the bushings have been dramatic.

    The component size can be signi-

    icantly reduced compared to when

    noor only simpliedsimulationsare carried out, says Eriksson. Also,

    the occurrence o any unwanted elec-

    trical and thermal hot spots, which

    tend to reduce reliability, can be bet-

    ter predicted and kept under control.

    In cases, measurement o phys-

    ical prototypes is not a realistic

    FIGURE 2:Plots theresistive lossdistributioninside thehigh volt-age conduc-tor. This dis-tribution isthen used asa heat source

    input in theheat balanceequation.

    FIGURE 3:Displays thetemperaturedistributionin the device(color plot),the conductiveheat ow pathsin the solids(blue) and theconvective heat

    ow in the oiluid (arrowplot).

    By employingsimulations,

    its possible to makefull-parameter optimizationsand to evaluate proposeddesign concepts in ashort time.GRAN ERIKSSON, ABB ABCORPORATE RESEARCHPOWER TECHNOLOGIES

    SolidsGroundedshield

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    S 24 COMSOL MULTIPHYSICS JUN E 2012

    S M A R T P O W E R G R I D

    option, according to Eriksson. This

    is because o the large associated

    costs in terms o time, money, and lab

    resources. In act, some important

    parameters may not even be accessi-

    ble using only measurements.

    To quantiy just how much impact

    the use o simulations can have on anengineering issue, in a similar case

    Eriksson encountered it was possible

    to reduce the size o the eed-through

    device by almost 30 percent compared

    with the original design proposal.

    SUPERCONDUCTINGFAULT CURRENT LIMITERSWHILE ENGINEERS ARE improving the

    traditional parts o the grid, like the

    joints, terminations, and bushings

    o electrical cables, work is also pro-gressing on bringing emerging tech-

    nologies into the grid.

    One area where the power utilities

    would like to nd an improved solu-

    tion is in ault currentlimiting (FCL)

    devices, which respond to the condi-

    tion o the system and insert increased

    impedance in the event o a ault.

    FCLs protect electrical equipment

    and the grid inrastructure rom ault

    currents caused by short circuits, which

    typically result rom lightning strikes.

    The simplest condition-based FCL

    device is a use, explains Dr. Michael

    Mischa Steurer, a scientist at the

    Center or Advanced Power Systems at

    Florida State University (FSU-CAPS).

    The major disadvantage o a use, ocourse, is that it has to be replaced

    when blown in order to restore power

    ow on the afected circuit.

    The solution o uses and use-

    based devices also runs into problems

    because they are not readily avail-

    able or voltages much above 36 kilo-

    volts. Its because o this that there is a

    strong interest by the utility industry

    in the development o condition-based

    FCLs, which reset by themselves, pre-

    erably under load current ow.A possible solution or develop-

    ing FCL devices has been the appli-

    cation o superconducting materials.

    According to Steurer, most supercon-

    ducting ault current limiters (SFCLs)

    exploit the substantial resistance

    increase o the superconductor when

    the transport current, the external

    magnetic eld, and/or the temperature

    exceed their respective thresholds.

    S p e c i a l A d v e r t i s i n g S e c t i o n

    FIGURE 4:The velocityamplitude isillustrated bycolors togetherwith the owstreamlines. Thestrong upward

    uid ow isgenerated by theheated solid parts.

    FIGURE 5: Shows theelectric feld ampli-tude (color plot) andthe equipotentialcurves (white) dueto the potential di-erence between thehigh voltage conduc-tor and the groundedparts. From such a

    plot one can easilyidentiy areas withtoo high stress levels.

    OBSTACLES TO WIDERADOPTION OF SFCL TECHNOLOGYTHE DISCOVERY OF high-tempera-

    ture superconductors (HTSs) ush-

    ered in a period o intense excitement

    and optimism in the development o

    superconductor-based applications.

    Nevertheless, even with HTSs the

    challenge o developing a cost-efec-

    tive SFCL solution has proved to be

    daunting, and progress toward com-

    mercialized devices has been slow.

    One key challenge to SFCL adoption

    that remains is the associated cost o

    cooling. Usually, liquid nitrogen (LN2)

    acts as a coolant. Heat inux rom theambient and losses in the SFCL (e.g., in

    copper leads, AC losses in the super-

    conductor or substrate, and core losses

    i the core is in contact with LN2 and is

    penetrated by the magnetic eld) cause

    some LN2 to boil of. This requires

    LN2 rells or reliqueaction.

    In order to appreciate the other

    technological hurdles that SFCLs ace,

    one has to discuss the main SFCL

    technologies.

    SFCLs may be classied intoquench and nonquench types, accord-

    ing to Steurer. A quench-type FCL

    ofers efectively zero impedance due

    to a superconducting state under nor-

    mal power system conditions. But

    when there is increased current ow

    in the power system due to a ault,

    impedance increases because the

    superconducting FCL quenches

    transitions rom a superconducting to

    a resistive state.

    Steurer adds that there is a subset oquenching FCLs called resistive FCLs.

    These come in various packages in

    which the superconductor carries the

    network current, and there must be

    power leads into and out o the cryo-

    genic tank where the superconductor

    is housed.

    As one might suspect, it is a chal-

    lenge to keep heat rom conduct-

    ing into the cold environment, says

    Equipotential curves

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    S 25COMSOL MULTIPHYSICSJUN E 20 12

    Tim Chiocchio, a research assistant at

    FSU-CAPS. Another challenge comes

    rom the act that the resistive SFCL

    initiates its current limitation through

    the quenching o its superconductor.

    Another type o SFCL, the satu-

    rated iron core SFCL, acts like a vari-

    able inductor. The superconductor

    does not quench but is employed as

    a DC magnet that saturates the iron

    core during normal operation. With

    the iron core in saturation, the induc-

    tance is small, but it becomes signi-

    icantly larger as high ault current

    drives the core into the linear region

    o the iron cores characteristic mag-netizing curve.

    One issue with this technology is

    preventing transient currents rom

    being induced in the DC magnet.

    Another challenge is minimizing the

    weight and size o the iron core while

    maintaining the required reactance

    under system ault conditions.

    The shielded iron core SFCL also

    acts like a variable inductor. During

    normal operation the superconduc-

    tor acts as a magnetic shield, prevent-ing the iron core rom exposure to

    the magnetic eld o the AC windings

    connected to the grid. In the event

    o a ault, the magnetic eld exceeds

    the critical eld o the superconduc-

    tor, and this leads the superconduc-

    tor to quench. The superconductor

    then ceases to behave as a shield, and

    inductance rises sharply as the mag-

    netic eld reaches the iron core.

    As with the use o higher voltages

    in transmission systems, the issuesare not always technological. They

    can be business-oriented as well.

    Perhaps the biggest universal chal-

    lenge is to compete with more tra-

    ditional approaches such as cur-

    rent-limiting reactors, or CLRs, says

    Chiocchio. It is important to keep

    costs low and to provide a signicant

    perormance advantage with respect

    to CLR-based solutions.

    MODELING AND SIMULATION IS ACRITICAL TOOL IN SFCL DEVELOPMENT

    A TE AM OF researchers at FSU-CAPS

    unded by Bruker Energy & Supercon

    Technologies (BEST) is trying to over-

    come the major design challenges ac-

    ing SFCLs in order to bring them to

    the high-voltage grid.

    The collaboration agreement

    between BEST and FSU-CAPS is

    ocused specically on urther devel-oping BESTs shielded iron core induc-

    tive ault current limiter (iSFCL).

    Computer modeling and simula-

    tion o the devices behavior have been

    indispensable tools in this work. The

    multidisciplinary aspects o the system,

    including the iSFCL and the electrical

    grid with all the disparate components

    that make it up, demand a multiphys-

    ics environment in which to carry out

    the simulations and modeling.

    Devices such as the iSFCL are

    embedded in a power system con-

    sisting o power lines, transormers,

    rotating machinery, capacitor banks,

    circuit breakers, and surge arrestors,

    says Dr. Lukas Graber, a postdoctoral

    research associate at FSU-CAPS. It is

    important to model the iSFCL in the

    appropriate environment, i.e., cou-

    pling a model o the power system

    with the nite element analysis, or

    FEA, model. COMSOL Multiphysics

    lets us couple electric circuitsresis-

    tors, capacitors, inductors, and

    sourceswith electromagnetic FEA.Graber was impressed with how

    easy it was to couple an electromag-

    netic FEA with an electric circuit. A

    tutorial rom the COMSOL model

    library helped him understand and

    implement this type o coupling.

    Also very impressive was the act

    that the simulation model awlessly

    converged to a correct solution even

    though it included a domain with

    almost zero electrical resistivity1015

    ohmmeters in the superconductor,says Graber. I expected numerical

    problems with a model that includes

    such extremely low resistivity.

    The FSU-CAPS team published its

    model at the COMSOL Conerence

    2011, which included a model o a

    benchtop FCL integrated with an

    equivalent circuit o the driving

    power electronic inverter and the out-

    put transormer.

    Graber says the team will use the

    setup in uture tests to do in-the-looppower hardware experiments. The

    researchers would also like to use

    modeling to explore more complex

    congurations o SFCLs and to opti-

    mize geometries and dimensions. This

    will let them simulate the conditions

    a real SFCL would see in the power sys-

    tem. Again, COMSOL should allow us

    to implement an even more complex

    equivalent circuit, says Graber.

    FIGURE 6:(Top) Simulation model showingthe magnetic ux density o the bench-topault current limiter under normal operation.

    (Bottom) Same but under ault condition.

    S p e c i a l A d v e r t i s i n g S e c t i o n S M A R T P O W E R G R I D

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    S 26 COMSOL MULTIPHYSICS JUN E 2012 + ONLINE: www.comsol.com/electrical

    WITH COALS ABUNDANCE and relatively low cost,

    it has become the primary source o electric-

    ity generation around the world. Global coal

    demand has almost doubled since 1980, driven

    mainly by increases in Asia, where demand

    rose by more than 400 percent rom 1980 to

    2010. In the United States, coal is used to gener-

    ate about hal o the electricity and remains the

    largest domestically produced source o energy.

    A natural result o burning coal is the

    emission o y ash, consisting o ne parti-

    cles derived rom mineral matter in the uel.

    Increasingly strict emission and environmen-

    tal standards dictate that virtually all o the

    dust resulting rom coal combustion must be

    removed. Particle emission limits in the rangeo 1030 mg/m3 in the exiting ue gas are com-

    mon today. Nearly all power plants and many

    industrial processes employ either electrostatic

    precipitators (ESPs) or abric lters to sepa-

    rate these particles rom the ue gas. ESPs

    are popular, due to their low operating and

    maintenance costs, as well as their robust-

    ness towards process variations (see Figure 1).

    Particle removal eciencies o 99.9 percent are

    common, and the world ESP industry has an

    annual turnover o several billion U.S. dollars.

    THE PRINCIPLES AT WORKAN ES P US ES electrical orces to remove particles

    rom the ue gas. High-voltage discharge elec-

    trodes, typically operating at 70100 kV, pro-

    duce a corona discharge, which is an ioniza-

    tion o the gas in the vicinity o the discharge

    electrode. The ions then ollow the electric eld

    lines and attach themselves to airborne parti-

    cles in the ue gas that ows through the ESP,

    essentially charging them. The charged par-

    ticles then migrate in the electric eld and are

    collected on grounded metal plates, called col-lecting electrodes, where they build up to orm

    a dust cake, which is periodically cleaned of.

    An ESP typically consists o rames with dis-

    charge electrodes placed between large metal

    curtains, acting as collecting electrodes (see

    Figure 2). The exterior dimensions o an ESP

    can be as large as 50 by 50 by 25 meters, divided

    into many independently, energized sections.

    Increasing the ESP collection eciency,

    reducing power consumption, and optimiz-

    F L U E G A S C L E A N I N G S p e c i a l A d v e r t i s i n g S e c t i o n

    NUMERICALMODELING OFELECTROSTATICPRECIPITATORSDespite all the press given to alternativesources o power, we still rely heavily oncoal or energy production. Alstom designselectrostatic precipitators that are used toclean fue gas, and researchers are usingboth experiments and simulations to studyand optimize these units.

    ByANDRE AS BCK, ALSTOM POWER SWEDEN AB,AND JOEL CRAMSK Y, ALVELID ENGINE ERING AB

    FIGURE 1: A recently commissioned Alstom electrostatic precipitator placed ateran 850 MW lignite-red boiler in Poland.

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    S p e c i a l A d v e r t i s i n g S e c t i o n

    S 27COMSOL MULTIPHYSICSJUN E 20 12

    ing the design rom a cost

    perspective are part o

    the work at Alstom Power

    Sweden AB. The Alstom

    technical center in Vxj

    serves as the global R&D

    execution center or the

    companys studies o envi-

    ronmental control tech-

    nologies, including par-

    ticle separation, ue gas

    desulurization, catalytic

    NOX conversion, and CO2

    abatement. ESP devel-

    opment has traditionally

    been an experimental andempirical science, although

    some numerical studies on

    selected precipitator phe-

    nomena have also attracted

    interest. With COMSOL

    Multiphysics, it was easy

    and straightorward to cre-

    ate mathematical mod-

    els that provided a deeper

    and more detailed under-

    standing o the behavior

    occurring inside the ESP.

    MODELING THE ESPTO ACHIEVE THE mechanical

    stability required or a tall

    collecting plate, it must be

    proled or shaped. Because

    the electric eld strength

    at the plate surace deter-

    mines when a spark-over

    (short-circuiting) occurs,

    it is very important to

    have smooth curvaturesthat do not create points

    o exceptionally high eld

    strength. We studied this

    us