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Transcript of Multiphysics_Simulation Suplemento Iiee
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Special Advertising Section toIEEE Spectrum
Ju 2012
Multihic
iMulati
MetaMaterialsMake Physics
seeM like Magic
UPgrading thenUts and Bolts of
the electrical gridpage 3 page 22
page 8
Topology
opTimizaTion leads
To BeTTer Cooling
of eleCTroniCComponenTs
ponsored by
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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 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