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Enhanced Bias-flip Rectifier with Ultra-Low Power
control for Piezo Electric Energy Harvester in the
Microwatt Application Scenario
Ramesh Vaddi1, and S. Dasgupta21Electronics and Communication Engineering Department, Padmasri Dr. B. V. Raju Institute of Technology, Hyderabad, India
2Electronics and Computer Engineering Department, Indian Institute of Technology Roorkee, Uttarakhand-247667, India
AbstractLow power devices promote the development of micropower generators (MPGs). There is an increasing interest in
harvesting ambient vibration energy through piezoelectric means
by which one can potentially draw 10100s of W of available
power. The limitations of existing piezoelectric harvesters is in
their interface circuitry consuming large power and also large
amount of charge getting wasted in charging and discharging
large capacitance associated with the piezo device . In this paper,
an enhanced bias-flip rectifier topology that can improve thepower extraction capability from piezoelectric harvesters is
presented. It has been shown that the proposed rectifier topology
has 4X more output power over conventional full-bridge
rectifiers and voltagedoublers and 3.25 times maximum output
power in comparison to existing bias-flip topology. The proposed
interface circuitry consumes ultra low power (less than 6W)
and achieves a near ideal inversion coefficient required for the
perfect bias flipping.
Keywords- Micropower generators, Microwatt applications,
Piezo electric energy harvesting; Ultra-low power.
I. INTRODUCTIONThe dependence on the battery as the only power source is
putting an enormous burden in emerging applications such as
wireless micro-sensor networks [1], implantable medical
electronics, tire-pressure sensor systems [2] and several
personal digital assistants (PDAs) etc. It is often impractical to
operate these systems on a fixed energy source like a battery
owing to the difficulty in replacing the battery. For example, a
1 cm3 primary lithium battery has a typical energy storage
capacity of 2800J [3]. This can potentially supply an averageelectrical load of 100 W for close to a year but is insufficient
for systems where battery replacement is not an easy option.
The ability to harvest ambient energy through energy
scavenging technologies is necessary for battery-less
operation. An attractive alternative to batteries is micro powergenerators (MPGs), which have recently gained increasedattention. An MPG is expected to be five-to-ten times smaller
than a comparable battery, and features enhanced
performance. The most common harvesters transduce solar,
vibrational or thermal energy into electrical energy.
Harvesting ambient vibration energy through piezoelectric
(PE) means is a popular energy harvesting technique whichcan potentially supply 10100s of W of available power [3].
This low power output necessitates not only the design of
ultra-low power control circuits but also efficient power
delivery interface circuits that can extract the maximum power
available out of the energy harvesters. Commonly used full-
bridge rectifiers and voltage doublers [4] severely limit the
electrical power extractable from a PE harvesting element.
Further, the power consumed in the control circuits reduces
the amount of usable electrical power. G. K. Ottman, et al, in[5], [6] propose and derived analytical expressions for the
optimal power flow from a rectified piezoelectric device andpropose adaptive control techniques for the dcdc converter
(but for a full bridge rectifier topology). In [7], the authors
fabricate and test various interface circuits to the piezoelectric
MPG such as half-wave synchronous rectifier with voltagedoubler, a full-wave synchronous rectifier and passive full-
wave rectifier etc, and demonstrate a peak power of 22 W.
In [8]-[10], the authors propose various piezoelectric
architectures utilizing buck-boost converter [9] and adaptive
stand alone system [10] for maximum power extraction. It has
been recently demonstrated that utilizing non-lineartechniques such as synchronous switch harvesting on inductor
(SSHI) (serial SSHI and parallel SSHI) [11]-[15], synchronous
electric charge extraction (SECE) [16], double synchronousswitch harvesting (DSSH) etc, one can extract significantly
more power from a piezoelectric generator in comparison to
conventional topologies. Y. K. Ramadass, et al, [18]-[20]
compare various rectifier topologies and propose an ultra low
power bias flip rectifier for a piezoelectric harvester. In this
paper, we propose an enhanced bias flip rectifier with ultra
low power control circuitry and increased power extraction
from the piezo MPG. The paper is organized as follows. In
section II, the theoretical background and various rectifier
topologies are summarized. Section III presents the proposed
rectifier topology and its power extraction. Simulation results
and discussion are presented in section III. Finally,
conclusions are offered in section IV.
II. THEORETICAL BACKGROUND AND VARIOUS RECTIFIERTOPOLOGIES AND PROPOSED RECTIFIER TOPOLOGY
A. Existing Rectifier topologies for Piezo Energy harvesting:A piezoelectric harvester is usually represented electrically
as a current source in parallel with a capacitor and resistor
(Fig. 1) [18-20]. The current source provides current
proportional to the input vibration amplitude. The current is
represented as ip=Ip Sinwpt, where wp=2 fp t, and fp is the
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frequency with which the piezoelectric harvester is excited.
The power output by the piezoelectric harvester can not bedirectly usable by load circuits such as micro-controllers,radios etc. The power conditioning and converting circuits
should also be able to extract the maximum power available
out of the piezoelectric energy harvester. Since the
piezoelectric harvester outputs a sinusoidal current, it first
needs to be rectified before it can be used to power circuits.
Fig. 1. Equivalent circuit of a piezoelectric energy harvester showing themechanical and electrical sides of the device.
Fig. 2. A full-bridge rectifier to extract power from a piezoelectric energy
harvester.
Fig. 3. A voltage doubler circuit to extract power from a piezoelectric energy
harvester.
Fig. 4. A Switch only rectifier to extract power from a piezoelectric energy
harvester [18-20].
Fig. 5. A Bias- flip rectifier to extract power from a piezoelectric energy
harvester [18-20].
Full-bridge and voltage doublers are the commonly used
rectifier topologies to convert the AC output of a piezoelectric
harvester into a DC voltage (Fig. 2 and Fig. 3). In the presenceof ideal diodes, the maximum power obtained by using a
voltage doubler is the same as that obtained using a full-bridge
rectifier. The voltage doubler however helps in pushing the
voltage at which the maximum is obtained up by 2X. In the
presence of diode non-idealities, the voltage doubler gives an
improvement in the overall power obtained. The maximumtheoretical conversion efficiency of both the topologies is very
less (12.5%) [18]. In [18-20], the authors propose a switch
only rectifier and a bias flip rectifier topologies as shown in
Fig. 4 and Fig. 5.
The voltage doubler provides current to the output only
during the positive half-cycle of iP. During the negative half-cycle, its parallel diode helps in pre-discharging CPto ground.
This way during the positive half-cycle, iP only needs to do
half the work to charge up CPto VRECTbefore it can flow into
the output. We actually dont need to spend an entire half-
cycle just to discharge CPto ground. This is addressed by the
switch-only rectifier where a simple switch M1 is connected
across the piezoelectric harvester driving a full-bridge
rectifier. When the switch is ON, it discharges the capacitor CP
immediately to ground. Once CP has been discharged, M1 is
turned OFF. This frees up the rectifier to conduct during both
the half-cycles of the input current. The switch-only rectifierin effect works similar to two voltage doublers of opposite
phase working in tandem. With the addition of a simple
switch, the switch-only rectifier is able to provide 2X the
amount of electrical power that was provided
by the full-bridge rectifier or the voltage doubler.
The switch-only rectifier was able to utilize both half-cycles of the input current. However, there was still significant
amount of charge lost in the rectifier due to charging CP up
from 0 to VRECT every half-cycle. Fig. 5 shows the circuit
implementation of a bias-flip rectifier. Compared to the
switch-only rectifier, an additional inductor (LBF) has been
added in series with the switch M1. An inductor can passivelyflip the voltage across a capacitor. So instead of just using a
switch, the bias-flip rectifier utilizes an inductor to flip the
voltage across CP. The bias-flip rectifier provides 3.29X
improvement over the full-bridge rectifier.
III. PROPOSED RECTIFIER TOPOLOGY AND ITS POWEREXTRACTION
The proposed enhanced bias-flip rectifier topology is shownin Fig. 6. Compared to the bias-flip rectifier, an additionalsmall capacitor (CBF) has been added in series with the switchand inductor. At every half-cycle, when iPchanges direction,the switch S1 is turned ON briefly to allow the inductor to flipthe voltage across CP. The switch is turned OFF when thecurrent in the inductor reaches zero. The voltage flipping
becomes closer to perfect by adding a small capacitor CBF inseries The inversion process is characterized by Inversioncoefficient ( ), giving the ratio of absolute voltages beforeand after the inversion. For perfect bias flipping, will becloser to one. To derive the amount of output power extractable
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Fig.6. Proposed Enhanced Bias- flip rectifier to extract power from apiezoelectric energy harvester.
using enhanced bias-flip rectifier topology, let us assume thatthe resistance along the LBF, CP, CBFpath is RBF.Following theanalysis similar to [19], the power output by the bias-fliprectifier can be given by
2 2 ( )F
RECT P RECT P P F I
P
kV
P C V f V V V Q
=
Where VP is the open circuit voltage of the piezo generatorand
( )2 20
0
2
1 1 1
1
1
2
( 2 )
2
1
( ( 2 ) )
( 2 ) ( 2 )
( 2 )(1 )1
F RECT D
I RECT D
BF
BF
P BFBF
P BF
P RECT D p P p p
RECT D RECT D
RECT Dp
P
V V V
V V V e
w
R
L
w w
wC C
LC C
V V V e w t V Sinw t w t k
V V V V
V V ew t Cos
V
= +
= +
=
=
=
=
+
+ +
= +
+ +
+ =
There are three ways in which we can enhance (=e
-) value
of the bias-flipping circuit. Table I summarizes the
improvement in value by increasing LBF. Increasing LBF
although increases value, but we cant increase it too large
due to the requirement of large size off - chip inductor.
Another way, we can improve value is by reducing RBF asshown in Table II. Although, reducing series resistance RBFof
the loop improves, we cant reduce it below a limit due to the
process limitations. Therefore, another efficient manner in
which it can be improved is by placing a small capacitor (CBF)
in series with LBFas shown in Table III.
IV. SIMULATIONRESULTSANDDISCUSSIONThe proposed topology along with existing topologies are
designed and simulated in Cadence Virtuoso. The piezo device
model parameters used for simulations are IP=40A,
fP=225Hz,CP=10nf, RP=1M [19]. CMOS implementation of
the proposed rectifier topology in Cadence is shown in Fig. 7.
The switches are implemented using NMOS transistors. It was
discussed that the bias-flip switches are turned ON when the
current iPfrom the harvester crosses zero. Also, it is essential
to keep the switches ON for just enough time to achieve zero-
current switching of the inductor current. The diodes used in
the rectifier were obtained with synchronous rectifiers [21]
that use MOS transistors to replace the diodes. These have
much lower forward voltage loss compared to p-n junction
diodes or transistor-based diodes. Further detailed CMOS
implementation of internal blocks are given in [18]. Fig.8
shows the block diagrammatic representation of the controlcircuitry that determines the timing and gate-overdrive control
of the switches in the bias-flip rectifier. The switches need to
be turned ON when iPcrosses zero. When iP is close to zero,
the diodes are just on the verge of turning OFF. At this point
one of the voltages VHARP or VHARNis close to VRECT + VDand
the other one is close to VD. The zero-crossing of iP is
detected by comparing either VHARP or VHARNwith a reference
voltage VDREF. This comparison is done using a continuous-
RECT
Full Bridge
S1
VREC
T
IP CP
C
RP
LB
F
D1
D3
D2
D4
Piezo Harvester
Enhanced Bias-flip Rectifier
CBF
Table I: Improving Inversion coefficient by increasing LBF(CBF= 12nf, RBF= 26).
LBF(H)
22 0.367
47 0.513
82 0.606
820 0.855
Table II: Improving Inversion coefficient by minimizing RBF
(CBF= 12nf, LBF=47H).RBF()
50 0.254
40 0.346
30 0.46
26 0.513
20 0.601
15 0.684
10 0.777
Table III: Improving Inversion coefficient by placing smallCBFin series with LBF (LBF=47H, RBF= 26).
CBF nf)
120 0.53
12 0.6271 0.834
0.1 0.942
0.01 0.981
0.001 0.994
LBF=82 H,
CBF=0.001nf
0.995
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time comparator similar to the one in [18]. Table IV
summarize the power consumption of various control blocks
and it is observed that the total control circuitry power is less
than 6w (ultra low power), thus increasing the power
usability by the external load.
Fig.7. CMOS implementation of the Proposed Enhanced Bias- flip rectifier along with control circuitry to extract power from a piezoelectric energy harvester.
Fig. 9 presents a comparison of power extracted by the existingrectifier topologies with the proposed enhanced bias- fliprectifier topology. At a given rectifier voltage, say at 1V, thefull bridge rectifier has an output power of 7.8 w, voltage
doubler has an output power of 9.3 w, switch only rectifierhas an output power of 17.3, bias- flip rectifier has an output
power of 21.5 w and the proposed enhanced bias- flip rectifier
Fig.8. Block diagrammatic representation of the circuit for timing andgate-overdrive control of the enhanced bias-flip rectifier.
Table IV: Detailed power consumption of various control circuits
in the piezo architecture.
Block nameCurrent
(A)Power(W)
No. ofBlocks
Total
controlpower
(W)
Synchronous
Rectification Diode0.054 0.378 4 1.512
SynchronousRectification Diode
(biasing)
0.5 3.5 1 3.5
Zero Crossing
Comparator
0.09176 0.165168 1 0.165168
Zero Crossing
Comparator (biasing)0.349 0.6282 1 0.6282
Pulse Generator 0.000037 0.0000666 1 0.0000666
Level Shifter 0.000012 0.0000216 1 0.0000216
Non-overlapping
clock Generator0.000136 0.000816 1 0.000816
Gate OverdriveCircuit
0.0024 0.0144 1 0.0144
Total 5.82
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has an output power of 26.4 w. For given conditions, it canalso be observed that the maximum rectified output power ofthe proposed enhanced bias- flip rectifier is nearly 130 w,where as that of the bias-flip topology has 40 w andconventional full bridge topology has around 10 w. Fig. 10shows the power extracted by the proposed enhanced bias- fliprectifier for increasing bias-flip inductor sizes. It can beobserved that increasing the bias- flip inductor size has positive
effect on the increment in the maximum rectified output power,but this effect gradually diminishes a the size becomes toolarge. This is due to the fact that the inversion coefficient
becomes almost saturated and changes very less once theinductor size increases significantly and the effect will bealmost negligible after certain value, which is also not
preferable from the chip area and cost point of view.
V. CONCLUSIONIn this paper, an enhanced bias-flip rectifier topology with ultralow power control circuitry for extracting maximum output
power from a piezo energy harvester has been proposed. It hasbeen demonstrated that the proposed rectifier topology
significantly increases the maximum rectified output power.For a given piezo device model parameters and load condition,it has been observed that the maximum rectified output powerof the proposed enhanced bias- flip rectifier reaches nearly 130w, where as that of the existing bias-flip rectifier topology has40 w and the conventional full bridge rectifier topology hasaround 10 w. It has been also shown that the additionalcontrol circuitry required for enhanced bias- flipping requiresonly around 6 w of power generated (4.6% of maximum
power), thus increasing the usable power by the load circuitry.
ACKNOWLEDGEMENT
The authors would like to thank the technical support given byProf. Tony T. H. Kim and A. Thu Linn, School of EEE,
Nanyang Technological University, Singapore.
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