Design of Piezoelectric Energy Harvesting Shoes For Charging Phones
Design of Piezoelectric Energy Harvesting Shoes For Charging Phones
                                                                                                                                                                             Abstract—In spite of great advances in cell phone                           Soft-cushioned shoes are comfortable, and good for the
                                                                                                                                                                         technology, the rapid discharge of phone batteries remains a                feet and for general health [1, 2]. Much or most of the
                                                                                                                                                                         widespread problem. One solution may be recharging phones                   energy of walking or running is dissipated in these shoe
                                                                                                                                                                         with movements of the body, such as with energy harvesting                  soles. The absorption of impact means that the mechanical
                                                                                                                                                                         shoes. Soft-soled impact-absorbing shoes are best for the feet              energy of running is being largely converted to heat energy
                                                                                                                                                                         and for general health. Energy harvesting from shoes have                   at the soles. At least some of this mechanical energy may
                                                                                                                                                                         been of interest for decades, but the technology is still in the            instead be converted to electrical energy for charging
                                                                                                                                                                         research phase. Piezoelectric voltage generation at shoes is                electronic devices such as the phone.
                                                                                                                                                                         made more feasible with recent advances in flexible
                                                                                                                                                                         piezoelectric materials. The characteristics of energy
                                                                                                                                                                         conversion at shoes have been studied. Shoes connected                      B. Harvesting Energy at Shoes
                                                                                                                                                                         through wires on the legs to power electronics can charge a                     Harvesting the energy of body movement for charging
                                                                                                                                                                         phone at the waist. An extra battery source at the power                    mobile and wireless electronics has been proposed for long
                                                                                                                                                                         electronics would be an inconvenience, and a simple full wave               [3]. The build-up of static electricity at devices at shoe soles
                                                                                                                                                                         rectifier with filter is proposed for initial testing. The resulting        has been suggested for harvesting energy [4]. Another
                                                                                                                                                                         large time constant implies the need for a large capacitor. The             possibility is electromagnetic voltage generation at the shoe
                                                                                                                                                                         design considerations in this paper may be the basis of further             sole, such as with an armature and field [5, 6]. But the
                                                                                                                                                                         research and experimentation, and possible commercial                       electromagnetics may be cumbersome and not durable
                                                                                                                                                                         implementation.                                                             enough to be placed at a shoe sole.
                                                                                                                                                                             Keywords—energy, phone, phone, harvesting, shoe, power                       Shoe outputs of many volts have been reported in the
                                                                                                                                                                         electronics, piezoelectric, piezoelectricity, walking, rectifier, filter,   literature. A relatively high one watt of power has been
                                                                                                                                                                         capacitor, battery.                                                         reported from electromagnetic energy harvesters.
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would not be rugged and durable. Also, different phones may
                                                                              Force (Newtons)
require different power electronics.                                                                                     Weight of person                               tep
                                                                                                                                                                    Ups
    A piezoelectric cantilever device was implemented and                                                                       n ste
                                                                                                                                      p
tested together with its electronics [18]. This required a                                                                 Dow                                  Area = Work done
microprocessor, which would be difficult without an extra                                                                                                       = Energy released
battery. A Buck converter has been proposed [19], but this
too has the requirement of having an independent, separate,                                                                                  Deformation of the sole (mm)
battery supply.                                                             Fig 1. If the shoe acts like a perfect spring, the energy absorbed during down
                                                                            step would be completely released during the up step. Harvested energy will
   This paper proposes keeping the power electronics away                   be zero.
from the shoe at the waist (or pocket) level, and to not
require any separate intermediate battery.                                      The mechanical energy during downstep and during
                                                                            upstep will be about half the force multiplied by distance:
   A separate independent battery may be an added                           We consider a person of 70 kg, deforming a sole by 1 cm at
inconvenience and has been avoided in the design. The                       every step.
simple full-wave diode rectifier with filter configuration is
proposed here for initial testing and for proof-of-principle.                                                   Work during Downstep = Work during Upstep
                                                                                                                                   1
       III. CHARGING AND BATTERY SPECIFICATIONS                                                                             =        Weight x Deformation of sole
                                                                                                                                   2
    The charging requirements and the battery specifications                                         Work done = 0.5 x 70 kg x 9.8 x 0.1 = 3.43 Joules
of phones will determine the design of power electronics
interface with the piezoelectric shoe.                                        In comparison to the spring above, a rubber band, shows
                                                                            some mechanical hysteresis (figure below). The energy lost
    Lithium Ion batteries for phones are mostly rated at 3.8                to hysteresis, or converted to heat, is the difference in the
V, and may start working at 3.6 - 3.7 V. Other charger                      energy used for stretching and the energy released from
voltages are in the region of 5 V,                                          contraction.
    Two safety precautions include that a battery with less
                                                                                                                                                                             ion
than 1.8 V should never be recharged. Secondly, the charger                                            Force (Newtons)                                            nt r
                                                                                                                                                                         ac t
voltage should not exceed 4.25 V. A battery below 3.0 V                                                                                  g                      Co
                                                                                                                                      hin
needs a trickle current, before its voltage rises to 3.4 V.                                                                    r   etc
                                                                                                                            St                                Work done on rubber
                                                                                                                                                              = Energy of stretching
    A phone with a 4 inch screen may consume 0.75 w                                                                                                             - Energy of contraction
power from a battery of 5-6 watt hours capacity. Under                                                                                        Length of rubber band (cm)
practical usage, a battery may last for no more than 5-6 hours
of usage.                                                                   Fig 2. The stretching and contraction of a rubber band shows energy lost to
                                                                            hysteresis (converted to heat) as the work done during stretching minus the
    Mobile phone batteries range from about 700 mA-hrs to                   work released during contraction.
1200 mA-hrs, whereas smart phone batteries are in the range                      The energy absorbed or released equals the area under
of 1000 - 1300 mA-hrs. The internal resistance of the battery               the curve above.
may be about 0.15 ohms. After 300-400 charging-
discharging cycles, the internal resistance may double to 0.3                                                            Energy absorbed or released = ʃF(x) x dx
ohms.
                                                                                 If the material of the sole has a hysteresis effect such as
                                                                            above, the work done during downstep will be greater than
         IV. ENERGY ABSORBING CHARACTERISTICS                               the energy during upstep. The shoe sole may recover slowly
    The energy absorbed by the soles will be the sum of the                 from deformation, meaning the force during downstep would
energy absorbed by the rubber, and the energy converted by                  be greater than during upstep.
the piezoelectric material. The energy absorbed by the rubber                   The energy of hysteresis would be the area within the
will depend on the material and its energy absorbing                        curve (figure below).
characteristics.
                                                                                                                           Weight of person
    If the shoe sole acts like a perfect spring, and no energy is
                                                                                           Force (Newtons)
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                                                                                                                                                        To tronic
                                                                                                                       ctr er
                                                                                                                                                         Ele
                                                                                                                            ics
                                                                                                                    Ele Pow
        Force (Newtons)
                                                  p
                                                                                                                                                           Po
                                                                                                                          on
                                             nste
                                                                                                                                                             c
                                          Dow
                                                                                                                                                               we s
                                                                                                                      To
                                                                                                                                                                 r
                                                                         p
                                                                      ste
                                                                   Up
                                        Deformation of the sole (mm)
                                                                                                             Piezoelectric Layers
                                                                                                                  in Soles
Fig. 4 . If due the hysteresis, the sole exerts little force during upstep, the
energy converted would be 0.5 x weight x deformation of sole.
                                                                                  Fig 6. Similar piezoelectric layers may be distributed in both soles of shoes,
     In case the hysteresis effect is very strong during                          minimizing chance of breakage. Connections may be in series, so as to
downstep and upstep (from shoe material and energy                                maximize voltage.
harvesting), the energy conversion per cycle will be the close                       Identical piezoelectric devices may be placed in both
to the full area of the rectangle below                                           shoes for maximizing energy harvesting.
                             Weight of person                                         Series or parallel connection of the above piezoelectric
                                   p                                              layers in the soles will be largely decided by the needs of the
        Force (Newtons)
                                                                        p
                                                                     ste
                                                                                  A. Pressure and Generated Voltage
                                                                   Up
   Assuming each step taking 0.5 seconds, the power                               Fig 7. Force (in Newtons) upon each shoe during a simple walking motion
available during walking would be:                                                    The generated piezoelectric voltages may be proportional
                                   W     7J                                       to the force, at the right and left shoe (with no output
                                P=   =         = 14 watt                          current).
                                   T   0.5 sec
    Higher energy and power may be obtained from greater                                                    Left shoe
                                                                                  voltage (V)
                                                                                                                                     Right shoe
                                                                                  Generated
                                                                                  Pressure,
                                                                                                            sole                     sole
depth of the shoe sole and with faster walking or running.
The energy from jogging or running may be of the order of                                          3.8 V
five times (estimated) greater than for walking.
   There are few practical methods of conversion of this                                                          ~ 0.5 sec                     time (seconds)
mechanical energy to electrical energy. Piezoelectric
materials can hardly be made to deform by the above one cm                        Fig 8. Pressure and voltage generated in the left and right shoes (without
from the movement of stepping.                                                    flow of current).
   A low efficiency of 10 % would give 1.4 watt in                                     When the walking changes to running, the foot kicks up
conversion of walking to electrical energy.                                       the body. The body will be in the air, and there will be a
                                                                                  momentary increase in force at the sole (figure below). The
                                                                                  body may stay suspended for about less than a second,
     V. FORCE AND VOLTAGE FROM PIEZOELECTRICITY
                                                                                  during which the force will be zero. As the other foot lands
    The option of piezoelectricity for shoes is supported by                      on the ground, there will be an sharp force of impact.
recent developments in flexible piezoelectric materials.
                                                                                      All forces may generate proportional voltage at the
    Layers of piezoelectric material may be placed in the                         piezoelectric material.
heels and the rest of the soles, lowering the chance of
breakage (figure below). The work done will depend largely
on the speed of walking or running.
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                               Left shoe                            Landing impact                   The alternating current from the piezoelectric material
           shoe (Newtons)
                                                    Right shoe
           Force on each
                               sole                 sole                                         can be passed through a full-wave rectifier and then filtered
                                                                             Push-off            to give a mostly DC waveform.
                                                                                                     Rectified current
                            Weight
                                                                                                                         i(t)              i(t)                      i(t)
                                                                             time (seconds)                                                            i(t)
Fig 9. Force upon each shoe for slow running or jogging. Spikes are seen v(t) v(t)
                                                                                                     (mA)
during the landing impact and during the push-off.
                                                                                                                                                              R             +
                                                                                                                                                                            Vout
Phone C
                                                                                                                                                                            _
                                               Power                    Trousers
                                               electronics
                                      Wir nectio
                                      con
                                                                                                 Fig. 12. The piezoelectric materials of the shoe can be connected in series
                                         ed
                                                                                                     Rectified current
                                                n
Fig. 10. Wires connect from the piezoelectric soles to the power electronics
and then to the phone. A rugged wired connections avoid breakage from
running.
    Behind the heal of the shoe, there may be a rugged plug,                                                                        time constant = τ = RC
connecting the wire to the power electronics. The wires and                                      Fig. 14. DC output with ripple after passing through a filter. The time
connections attached to the legs must also be rugged, in order                                   constant may be too large (compared to conventional electronics), meaning
                                                                                                 the capacitor may need to be large.
to withstand walking or running over long distances.
                                                                                                     The diode rectifier/s may be compact enough to be
                                  VII. POWER ELECTRONICS                                         placed at the shoe or at the plug. However, the filter may
                                                                                                 require a large capacitance, which may be too bulky to place
    A switched mode converter in the power electronics will                                      in or near the shoes.
require an additional power source or battery, which would
be inconvenient.
                                                                                                 A. Filter Design
    For harvesting energy from the generated voltage, a                                             The time constant of the filter is the length of intersection
current flow is required. The discharging current from the                                       on the time axis of a tangent from the curve (figure above),
piezoelectric material may show the pulsed waveform below.                                       and will equal the product of the resistance R and the
                                                                                                 capacitance C.
 Voltage, current (A)
                                           Left sole,
                                           current                                                                                        τ = RC seconds
                                                                                                    In order to keep the ripple value low, the time constant τ
 Generated
                               v(t)                              v(t)
                                                                                                 may have to be several times larger than the stepping time.
                                                                                                 With stepping time of the order of 0.5 second, the time
                                                                             Time (sec)          constant may be
                                     Right sole,                                                                                   τ = RC = 2 - 4 seconds.
                                     current
Fig. 11. For piezoelectric shoes, the current may be positive during the                            This time constant of 2 - 4 sec is much larger than the
downstep, and negative during the upstep.                                                        order of milliseconds encountered in conventional power
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electronics. This implies that either R or C or both must be                    As different phones have different charging voltage and
unusually large. Having a large R may be undesirable as it                  current requirements, different power electronic circuits may
would dissipate too much energy. A large capacitor C may                    be required for different phones.
be too large and bulky. The electrolytic capacitor may be the
                                                                               In spite of the clear challenges, the design considerations
best option, as it may have a large value (at the cost of low
voltage withstanding capability).                                           in this paper may be a basis for further research,
                                                                            development and experimentation.
    A capacitor of the order of 1 μfarad, would imply a
resistance of the order of 2 - 4 Mohms, which would still be                                           IX. REFERENCES
too large, consuming the energy generated.
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