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March/April 2013 631527-3342/13/$31.002013IEEE
Digital Object Identifier 10.1109/MMM.2012.2234640
Qi Xu, Zhaolong
Gao, Hao Wang,
Jiping He,
Zhi-Hong Mao,
and Mingui Sun
Qi Xu ([email protected]), Zhaolong Gao ([email protected]), and Jiping He ([email protected]) are with the Key Laboratory of ImageProcessing and Intelligent Control of Education Ministry, Department of Control Science and Engineering, Huazhong University of Science and
Technology, Wuhan 430074, China; Jiping He is also with the Department of Bioengineering, Arizona State University, Tempe 85284, USA.Hao Wang ([email protected]) and Zhi-Hong Mao ([email protected]) are with the Department of Electrical and Computer Engineering,
University of Pittsburgh, Pennsylvania. Mingui Sun ([email protected]) is with the Departments of Neurological Surgery,Electrical and Computer Engineering, and Bioengineering, University of Pittsburgh, Pennsylvania.
Implantable devices have become
increasingly popular in modern medi-
cine. These devices have a wide range
of applications, such as health moni-
toring, disease prevention, delivery of a
therapeutic regimen, and biomimetic prosthesis.
For example, electrical stimulation of nerve tissue
and recording of neural electrical activity are the basis
of emerging prostheses and treatments for spinal cord
injury, stroke, sensory deficits, and neurological disor-
ders [1][5]. Being able to record neural activity from
awake animals with observable behavior has greatly
advanced our understanding of the neural mechanisms
that mediate behavior. Conventional microelectrode
recording techniques typically require a percutane-
ous connector, which is associated with infection risks.
Generally, in order to obtain stable recordings, animals
must be trained to accept some degree of restraint (e.g.,
head fixation). Not only is the mobility of the animal
subject limited, but the results obtained under suchrestricted conditions may not reflect the full repertoire
of brain activity that occurs during natural behaviors
[2]. This issue can be addressed with implantable elec-
tronics to record neural activity and wirelessly transmit
this data through the skin to an external device. A wire-
less technique is then required to transmit both data
and power, connecting the external system and the
implanted devices.
There has been substantial previous work on
miniaturized, implantable electronic circuits that
record neural data and stimulate neuronal networks
during free movement in different animal mod-
els [3][7]. Many designs use radio-frequency (RF)transmission of raw or digitized physiological data
to a remote computer for storage and analysis. How-
ever, the high power consumption of continuous RF
transmission in these battery-powered systems lim-
its the duration of experiment to a few hours [3][4].
Date of publication: 6 March 2013
Batteries
Not Included
FOCUSED
ISSUEFEATURE
ARTVILLE
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Thus, providing power to medical implants has been
one of the most challenging problems in the system
design involving implantable devices. The traditional
approaches to this problem have been based on the
use of implantable batteries or lead wires through
the skin. Such transcutaneous wires are susceptible
to infection and reliability problems. For long-term
implantation, batteries present a problem due to their
size, mass, potentially toxic composition, and finite
lifetime. Even rechargeable batteries may have to be
replaced too often to be practical. Wireless power
transfer (WPT) has distinct advantages over these tra-ditional approaches in enabling implants to operate
for an essentially indefinite period of time without
the risks of battery replacement surgery or infection
from percutaneous wires and allowing the implants
to be drastically miniaturized because of the elimina-
tion of batteries [5][6].
The inductively coupled WPT has been well stud-
ied and utilized to deliver power to implantable
devices ranging typically from several microwatts
to a few tens of milliwatts [7]. This type of WPT sys-
tem requires two coils, a primary coil and a second-
ary coil, to deliver power wirelessly across the skin.
The electromagnetic field produced by the primary
coil penetrates the skin and induces a voltage across
the terminals of an implanted secondary coil, which
powers the implant. For high-power applications, such
as artificial hearts, the current inductive method has
many drawbacks, including limited energy transmis-
sion distance, requirement of internal and external coil
alignment, and low-energy transfer efficiency [7][8].
It has become clear that, without an effective solution
to the wireless transcutaneous power problem, many
promising implantable devices will continue to existonly in research laboratories. Therefore, a more effi-
cient power-transfer mechanism is highly desirable in
order to provide the required power in a reliable man-
ner with a sufficient capacity while satisfying the size
and weight constraints.
Recently, a novel technology called witricity
(wireless electricity) was developed, providing a new
approach to efficient mid-range WPT for implant-
able devices via strongly coupled magnetic resonance
[8][10]. A typical witricity system consists of fourcoils, namely, driver, primary, secondary, and load
coils, as shown in Figure 1. This system uses inductive
coupling between the driver and primary coils as well
as between the secondary and load coils. The primary
and secondary coils (also called resonators as these
coils operate on both their inductive and capacitive
properties) are separated by a distance usually several
times the geometric average of the coils diameters
[8]. The power-transfer mechanism of the witricity
has an attractive property in that two objects with the
same intrinsic resonant frequencies tend to exchange
energy efficiently, while two nonresonant objectsexchange little energy. This property is valuable in
medical implant applications since biological tissues
are generally nonresonant at the operating frequency
of the witricity. The WPT system based on witricity
can deliver a relatively large amount of power with
high efficiency at a mid-range distance. For example,
researchers at the Massachusetts Institute of Technol-
ogy (MIT) illuminated a 60 W light bulb wirelessly
from a power source more than seven feet away [8].
At this distance, WPT was achieved with an efficiency
of about 40%, approximately one million times higher
than that achieved by the traditional inductive cou-
pling method [8]. In addition, WPT using the witric-
ity approach has an advantage over the traditional
inductive coupling in that its bandwidth is fixed and
extremely narrow due to the resonant nature of the
system. This valuable property reduces interference
with the communication channel.
The coupled-mode theory (CMT) has been utilized
to analyze the interaction between resonators in the
witricity system. Detailed theoretical and numerical
analyses have shown that efficient mid-range wireless
energy exchange is feasible between two resonatorswith the same resonant frequency under the condition
of strong coupling [11][12].
In traditional inductively coupled WPT systems, it is
usually required that the primary and secondary coils
are reasonably aligned and their separation distances
are maintained [12][13]. However, in many applica-
tions, these requirements cannot be met. For example,
in medical research, animal models are often utilized
to evaluate effects of new therapeutic or prosthetic
devices. Particularly in the field of neuroengineer-
ing, e.g., neural prostheses and therapies, the rhesus
macaque monkey is a useful animal model as it allowsdecoding of recorded neural data during coordinated
Secondary
Coil
Driver
Coil
Primary
Coil
Load
Coil
MagneticResonance
Figure 1.Typical witricity system configuration consistingof four coils (driver, primary, secondary, and load coils).
Implantable devices have a widerange of applications, such as healthmonitoring, disease prevention,delivery of a therapeutic regimen, andbiomimetic prosthesis.
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limb movements similar to those of humans. In the
study of cortical neural prostheses, wireless devices
are often implanted within the brain of primates to
record a large amount of neural data. These data are
then decoded to control a computer or a prosthetic
device, such as an artificial limb. This study belongs to
a rapidly growing field of research on brain-computer
interface (BCI) with a potential to provide an effective
treatment for amputees or patients suffering from neu-rological injury and disease. Traditionally, transcuta-
neous wires were utilized for power and signal links.
Although important in conducting BCI research, this
method results in tremendous ethical concerns since
a monkey must be constrained within a primate chair
for an extended experimental period (months or years)
suffering from tremendous physical and emotional
stresses [5], [14].
Besides the use of a primate model, a vast major-
ity of the research on neural mechanisms of thera-
pies is currently conducted using the rodent model,
mostly rats. Several fully implantable neural stimula-tors have been developed for freely moving rats. An
implantable, battery-powered stimulator with bidi-
rectional wireless communication has been reported
for investigating neural mechanisms of spinal-cord
stimulation, facilitating motor function improvement
[15]. However, the limited battery capacity for use in
small animals does not support free-behaving exper-
iments for extended periods of time. Other systems
have been built with a transcutaneous wireless induc-
tive power source [16][17]. Although these systems
have replaced wires by fixed primary and secondary
coils, problems exist because attaching a backpack
containing an external battery and an electronic unit
to the animal is required. Such a backpack prevents
the animal from moving freely, and the system still
requires certain restraints of the animal. In order to
solve these problems, a fully implantable stimula-
tion system has been developed for small laboratory
rodents, including rats [18][19]. However, an impor-
tant disadvantage of this system is that the animal
must be placed in a special chamber of limited free-
space surrounded by coils. This setup excludes some
important behavioral tests and training that requirea large open space, e.g., elevated plus-maze tests and
treadmill training.
A significant power supply problem also exists
in implantable systems for use with humans. Lately,
rechargeable stimulators using inductively coupled
WPT techniques have been developed, such as the
Medtronic RestoreULTRA 37712, Boston Scien-
tific Precision Plus, and St. Jude Medical Eon Mini
Implantable Pulse Generator (IPG). The batteries of
these implantable devices can be recharged by exter-
nal wireless chargers. Unfortunately, the chargers are
often inconvenient for patients since losing power bythe implant is often risky [20]. Therefore, a new tech-
nology transmitting both signal and energy, requir-
ing no attachments to the body of humans or animals,
and allowing full freedom of motion within a space
of sufficient size represents a significant advance in
the field of medical implants.
If multiple devices are to be powered or charged
simultaneously by a single system, the transmitting
coil must cover a large area of operation and ensure a
uniform power delivery to devices regardless of their
positions [21]. A planar contactless battery chargingplatform using inductive coupling with transmitting
coil arrays has been demonstrated to generate a mag-
netic field of uniform amplitude over the charging
surface [22]. Moreover, multiple transmitting coils in
parallel have been used to reduce the loading effects
of multiple receivers [23]. In this article, a hexago-
nally packed transmitter (HPT) mat is designed and
utilized in a free-access witricity system for implant-
able devices. As shown in Figure 2, a resonance-
based power mat delivers transcutaneous power to
implanted devices when the subject (which is exem-
plified here as a rat) moves freely on top of the mat.
Note that the same mat can be put within the ceil-
ing (or within both the floor and the ceiling), which
is more suitable for humans in a living quarter. The
mat (or mats) creates a nearly uniformly distributed
magnetic field so that the implant within the body
can receive wireless power effectively regardless of
the location of the subject on the mat. We investigate
this new WPT system design using finite-element
(FE) simulation to visualize the field distribution of
CameraImplanted
Device
Power Mat
DataReceiverRe
Figure 2.A resonance-based mat powering implanteddevices within experimental rats moving freely on the mat.
The power-transfer mechanism ofthe witricity has an attractiveproperty in that two objects with thesame intrinsic resonant frequenciestend to exchange energy efficiently,
while two nonresonant objects
exchange little energy.
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the transmitter coil array. Since the resonant match
of the coils is critical in system performance, we study
the variation of resonant frequency resulting from
the moving implant by simulation and experimental
measurements. We expect our WPT system design
to spur new interests in not only medical implants,
but also nonmedical systems where mobile devices
and appliances can be powered or recharged auto-
matically anywhere within a certain space without
electric cables.
Theoretical Analysis of Mat-BasedWitricity System
The power-mat-based WPT system includes a driver-coil array, an HPT mat, a receiver coil, and a load coil.
Among these components, the HPT mat has a novel
design containing a single or an array of hexagonal
cells (dashed hexagons in Figure 3). Each cell is a
witricity transmitter that emits power either individ-
ually or synchronously with other cells. Decompos-
ing the HPT mat further, each hexagonal cell consists
of seven planar spiral coils (PSCs) constructed using
either wires or flexible printed circuits. The geom-
etry and the number of turns of the PSCs can be
designed flexibly.
The resonant energy exchange system with a single
transmitter and a single receiver has been analyzedusing the CMT [24]. In this article, we extend the same
concept and write CMT into a vector form to allow
the study of multiple transmitters. In CMT, the first
eigenmode is used to analyze a resonant system. The
approximation by the first eigenmode is quite accurate
under the condition that the system operates in strong
coupling [24]. Let the system consist of Ntransmitters
(indexed from 1 to N) and a single receiver (indexed by
N 1+ ). The differential equations describing the sys-
tem are given by
( ) ( ) ( ) ( ) ( ),
, ,
a t j a t j a t f t
i N1,
i i i im
m m i
N
m i0
1
1
f
~ lC= - + +
=
!=
+
o /
( ) ( ) ( ) ( )a t j a t j a t,N N L N N ii
N
i1 0 1 1 1
1
~ lC C= - - ++ + + +=
o / (1)
or in matrix form [as in (2) shown below], where ( ),a ti , ,i N1 f= , and ( )a tN 1+ are, respectively, the first
eigenmodes of the transmitter and receiver resona-
tors corresponding to the natural frequency 0~ ; iC s
are the intrinsic loss rates of resonators due to absorp-
tion and radiation, and LC represents the rate of
energy going into the load; iml s are pairwise coupling
coefficients between resonators; fi s are the inputs to
the transmitter resonators; and j is the imaginary
unit, i.e., j 12 =- . In our case, all fi s are the same, e.g.,
.f f f fN1 2 g= = = = Note that ai s are also known
as positive frequency components in terms of CMT.
Although ai (generally complex valued) does not rep-
resent a voltage or current directly, the energy con-
tained in each resonator can be represented as ai 2 ,
and the power output of the system is a2 L N2
1C + .
Using the CMT concept, the goal of obtaining a uni-
form power output becomes finding a uniform aN 1+
within the WPT space.We introduce the following matrix/vector notation
to express (2) in a more compact form:
.Aa a f= +vo v v (2*)
y
xx
Figure 3.Power mat structure with multiple HPT cells.Each cell consists of seven PSCs. This structure allowsnearly even power delivery to freely moving object(s) oneither (top or bottom) side of the power mat.
( )
( )
( )
( )
( )
( )
( )
( )
( )
( )
( )
( )
( )
( )
( )
a t
a t
a t
a t
j
j
j
j
j
j
j
j
j
j
j
j
j
j
j
j
a t
a t
a t
a t
f t
f t
f t
0, , ,
,
,
,N
N
N
N
N
N
N
N
N
N N
N
N
N N
N L
N
N
N
1
1
1
0 1
21
1
1 1
12
0 2
2
1 2
1
2
0
1
1 1
2 1
1
0 1
1
2
1
1
2
h h h
g
g
j
g
g
h h h h
~
l
l
l
l
~
l
l
l
l
~
l
l
l
l
~
C
C
C
C C
=
-
-
-
- -
+
+ + + +
+
+
+
+ +
o
o
o
o
R
T
SSSSSS
R
T
SSSSSS
R
T
SSSSSS
R
T
SSSSSS
V
X
WWWWWW
V
X
WWWWWW
V
X
WWWWWW
V
X
WWWWWW
(2)
Driver-CoilArray
(a) (b)
TransmitterMat
x
yz
x
0.5 cm 2.2 cm
42 cm
Figure 4.3-D model of the transmitter mat in FEsimulation. (a) A single HPT cell consisting of seven PSCswas driven by the driver-coil array. (b) Dimensions of PSC.
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If the WPT is driven by a sinusoidal input, e.g.,
( ) [ , , , ]f t Fe 1 1 0j t T0 f= ~v , the positive frequency com-
ponent has the form of ( ) aa t ej t0= ~v v in the steady
state. Substituting this form to (2*), we can solve
for ( )a tv
( ) ( )Ba t f t1=- +-vo v , (3)
where
B .
j
jj
j
jj
j
j
j
j
j
j, , ,
,
,
,N
N
N
N
N
N
N
N N
N
N
N N
N L
1
21
1
1 1
12
2
2
1 2
1
2
1
1 1
2 1
1
1
h h
g
g
j
g
g
h h
l
l
l
l
l
l
l
l
l
l
l
l
C
C
C
C C
=
-
-
-
- -+ + +
+
+
+
+
R
T
SSSS
SS
V
X
WWWW
WW
(a)
(b)
H_Field_Zcompab
9.1536e-001
8.5815e-001
8.0095e-001
7.4374e-001
6.8653e-001
6.2932e-001
5.7212e-001
5.1491e-001
4.5770e-001
4.0049e-001
3.4328e-001
2.8608e-001
2.2887e-001
1.7166e-001
1.1445e-001
5.7245e-002
3.6846e-005
H_Field_Zcompab
1.5602e-001
1.4627e-001
1.3652e-001
1.2677e-001
1.1702e-001
1.0727e-001
9.7523e-002
8.7773e-002
7.8024e-0026.8274e-002
5.8524e-002
3.9024e-002
2.9275e-002
1.9525e-002
9.7750e-003
4.8774e-002
2.5266e-005
0 500 1e+103 (mm)
0 500 1e+003 (mm)
Figure 5.Distribution of the z-component of the magnetic field in a plane (a) 16 cm and (b) 42 cm above the HPT mat at theresonant frequency of 29.8 MHz.
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Given iC , iml , and fi , we can compute ( )a ti ana-
lytically by (3). The CMT approach provides a pow-
erful analytical tool for the witricity based WPT
system. For example, it has been utilized to maxi-mize the efficiency of power transfer and investigate
the relay effect by inserting one or more resonators
between the transmitter and receiver [25]. Moreover,
we have studied the dynamics of the system involv-
ing an array of resonators using the CMT approach
[26]. Although the previous studies have shown that
CMT well characterizes the temporal behavior of
the system, it has clear limitations when the system
parameter changes. For example, when the receiving
resonator moves over the HPT mat, the coupling coef-
ficients ( , , )i N1,N i1 fl =+ change, and the variations
of both these coefficients and the system behavior aredifficult to be determined analytically. To study the
motion effect of the receiving resonator and answer
the critical question whether the receiver resonator
can harvest sufficient amount of power at different
locations over the HPT mat, we constructed a FE
model and performed numerical simulations.
Finite Element Simulation ofMat-Based Witricity SystemIn this section, we describe a simulation study on the
HPT mat using commercial FE software HFSS (Ansys
Corp., Pittsburgh, PA). For a clear illustration of the
design principle of the mat-based witricity system,
we simulated only the single HPT cell case consisting
of seven seven-turn PSCs, as limited by the compu-
tational complexity. This simulation does not cause a
loss of generality because the results of multiple HPTs
can be obtained simply by superposition of single cell
results. Figure 4 shows the three-dimensional (3-D)
model of the HPT mat utilized in the simulation, where
each PSC was 42 cm in outer diameter, 0.5 cm in con-
ductive trace width, and 2.2 cm in trace spacing. The
input power was set at 1 W. Particular attention was
paid to the analysis of the magnetic field generated
by the HPT mat at the resonant frequency in order to
evaluate the WPT performance. As stated previously,the goal of the HPT mat design was to obtain a nearly
uniform magnetic field within an extended region to
support WPT to moving targets, rather than optimiz-
ing power transfer eff iciency.
We excited the seven PSCs simultaneously using
a common RF power source. Energy was injected
into the driver coil array to maintain resonance in
the presence of losses and energy drawn from the
magnetic field by the receiver coil. Figure 5 shows
the z-component distribution of the magnetic field
16 cm and 42 cm, respectively, above the HPT mat
(i.e., the XY plane). Color indicates the magnitude ofthe magnetic field in the z-direction. It can be seen
that, at z =16 cm [Figure 5(a)], the magnitude of the
magnetic field was the highest (peak) at the center
of each coil, which formed an equilateral triangle,
and the lowest (valley) at the junction of three coils.
When the distance to the HPT mat was increased to
42 cm, a more uniform magnetic field distribution
was observed [Figure 5(b)]. In order to evaluate the
evenness of distribution quantitatively, the coeffi-
cient of variation (COV), which was defined as the
standard deviation of the field values divided by
the mean, was utilized. Thus, a smaller value of the
COV indicates a more uniform distribution. Figure 6
shows the COVs of the magnetic field in the z-direc-
tion above the HPT mat at distances from 10 cm to
70 cm. It can be observed that the COV achieved a
value less than 8% when the distance was larger than
the size of the transmitter coil.
Although the receiver resonant coil can have an
arbitrary size and shape, for simplicity we utilized a
receiver coil that was identical to the transmitter PSCs
in our simulation. The receiver coil was placed at dif-
ferent locations within a planer region 42 cm above theHPT mat. The input power and resonant frequencies of
the mat were set at 1 W and 29.6 MHz, respectively. As
in the previous case, all seven transmitter PSCs were
excited simultaneously. Figure 7 shows the field dis-
tribution at z =42 cm at two positions off [Figure 7(a)]
and at the center of the HPT mat [Figure 7(b)]. It can
be observed that the receiver PSC distorted the mag-
netic field slightly in both cases. This loading effect
is expected because of the interactions between the
transmitter and receiver resonators [26].
The witricity-based WPT system achieves the best
performance if the intrinsic frequencies of the trans-mitters and receivers are identical and the natural
80
90
100
110
20
30
0
10
60
70
40
50
5 10 15 20 25 30 35 40 45 50 55 60 65
Distance (cm)
COV(%)
Figure 6.Variation in COV of vertical field distribution
as a function of distance above the HPT mat at the resonantfrequency of 29.8 MHz.
The geometry and the number of turnsof the PSCs can be designed flexibly.
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frequency of the coupled system equals the operat-
ing frequency of the excitation signal [24]. When
the operating and natural frequencies deviate from
each other due to certain disturbances, a signifi-
cant reduction in power transfer performance may
occur. To study this potential problem, we conducted
FE simulation to observe the change of the natural
Figure 7.Magnetic field distributions on the plane of the receiver coil (42 cm above the HPT mat) at the resonant frequencyof 29.6 MHz. (a) The receiver coil is off the center of the mat. (b) The receiver coil is at the center of the mat.
(a)
(b)
H_Field_Zcompab
2.3455e+000
2.1127e+000
1.8800e+000
1.6472e+000
1.4145e+000
1.1817e+000
9.4894e-001
7.1618e-001
4.8342e-001
2.5067e-001
1.7908e-002-2.1485e-001
-4.4761e-001
-6.8037e-001
-9.1312e-001
-1.1459e+000
-1.3786e+000
H_Field_Zcompab
2.3863e+000
2.1697e+000
1.9530e+000
1.7364e+000
1.5197e+000
1.3031e+000
1.0865e+000
8.6983e-001
6.5319e-001
4.3655e-001
2.1991e-002
-2.1336e-001
-4.3000e-001
-6.4664e-001
-8.6328e+000
3.2741e-001
-1.0799e+000
Due to its attractive physicalproperties, the witricity enableshigher efficiency and longer operatingdistance for WPT than the traditionalinductive coupling methods
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frequency of the coupled system while the receiver
coil was moved in the XY plane 42 cm above the
HPT mat. The locations of the receiver coil, repre-
sented by its centers projected to the HPT cell, are
shown in Figure 8(a). At each of the 21 locations,the natural frequency of the coupled system was
computed using the HFSS software. Our results
[Figure 8(b)] showed that natural frequencies of
the system with the receiver coil at these locations
differed only slightly. The standard deviation was
0.001 MHz, only 0.003% of the mean 29.581 MHz,
indicating a stable performance in energy transfer
despite the motion of the receiver.
Experiment and ResultsTo validate the simulation results, a prototype of a
single-cell, mat-based witricity system was physically
constructed as shown in Figure 9. The single HPT cell
in this system consisted of seven circular PSCs. Each
PSC was made of a printed circuit board (PCB) in a
shape of equilateral hexagon of 13.2 cm in outer diam-
eter, 2.9 mm in conductive trace width, and 1.6 mm in
trace spacing. The resonant frequencies and Q factor
of all PSCs were measured to be 29.453 ! 0.072 MHz
and approximately 100, respectively. In this witricitysystem, a novel design of the receiver resonator was
Figure 8.The natural frequency of the system is computed
to study frequency detuning as the receiver moves on theXY plane 42 cm above the HPT mat. (a) Each dot denotesa projected location of the receiver coil above the mat. (b)Computed natural frequencies at the 21 locations in (a).
(a)
y
x
y
x
(b)
-300
5
10
15
20
25
30
35
-30-20-10
010
2030
-20-10
010X(cm)
f0(M
Hz)
Y(cm)
2030
-30
-20-10
010
0-20-
010(c (c
m20
Figure 9.Experimental setup of the mat-based witricitysystem.
Transmitter Mat Load Coil Receiver Coilransmitter Mat Load Coil Receiver Coil
Figure 10.Measured induced peak-to-peak voltage V inthe load coil moving in the proximity of the center PSC.
5
-3-3
-5-5-7
-1-1
53
3
11
7
1.5
2
2.5
3
3.5
7
0.5
1.5
1
2
2.5
3
3.5
4
0
-7
Y(cm)X(
cm)
V
oltage
(V)
5
-3-3
-5-7
-1-1
53
11
7
(cm)cm
)
Figure 11.Changes in the mean resonant frequenciesmeasured in parallel to the XY plane as a function ofheight above the transmitter mat.
26.6
26.7
26.8
26.927.0
26.1
26.0
26.4
26.5
26.2
26.3
0 5 10 15 20 25
Distance (cm)
MeanResonantFrequency(MHz)
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is useful in not only implantable devices for small ani-
mals, but also a variety of other medical applications.
As described previously, it is straightforward to extend
the concept by placing an HPT array within the ceiling
or floor of a room to power implants within primate
animals or humans. By including a small battery within
the implant, the operation of the implant will not stop
as long as the subject returns to the room for a certain
period of time so that the battery can be recharged, andthere is no limit on the activity within the room. In a
broader point of view, the approach presented in this
paper is expected to be applicable in a variety of trans-
portation, consumer, and industrial systems since this
approach supports WPT to a moving target, such as a
vehicle or robot.
AcknowledgmentThe authors would like to thank Yicheng Bai and Jun-
hua Wang for their help in the experimental setup.
This study has been supported by the Natural Sci-
ence Foundation of China (grant numbers 60874035
and 30901716), and in part by the National Institutes of
Health of USA (grant number U01HL091736) and the
Fundamental Research Funds for the Central Universi-
ties of China (grant number HUST:2012QN085).
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The witricity-based WPT systemachieves the best performance ifthe intrinsic frequencies of thetransmitters and receivers areidentical and the natural frequencyof the coupled system equals the
operating frequency of theexcitation signal.