APPLICATIONS INFORMATION - SWITCHED CAPACITOR BOOST CIRCUIT
R ln o
Goals
Allow intermittently operating circuits to be
powered from extremely weak vibration sources,
C
1
T d
1
V
V
or moderate vibration sources at frequencies sig-
nificantly different from the energy harvester's res-
onant frequency (Figure 3)
Equation 1: Capacitance needed for
a given runtime (F)
Physically disconnect the load during periods of
insufficient voltage to avoid "over-the-hump" prob-
T d
R C ln
V o
V
lems of cold circuit start-up from harvested power
Maximize chances of success where vibration
source's characteristics (amplitude and frequency
Equation 2: Runtime for a given
capacitance (sec.)
content) cannot be known in advance.
W
1
2
C V 0
2
V
2
Simple “One-Shot” Application
A simple usage scenario is an embedded sensor with
Equation 3: Energy per discharge
(Joules or watt-seconds)
data storage/transmission capability, which takes one
set of measurements each time it is powered up
(relying on the loss and subsequent re-application of
P
T c
W
T d
power to start the next measurement). In this case, the
measurement frequency is variable and depends on the
vibration amplitude. To operate the sensor directly from
the boost circuit requires:
Estimation (or measurement of) the run-time and
power consumption of your application within its
voltage limits
Sizing the CP out according to worst-case usage,
allowing some headroom
For such one-shot sensors, it is recommended to
create a large load (e.g. drive an LED or GPIO pin tied
to ground) after completing the task in order to ensure
the power output cycles in high-vibration conditions.
A typical microcontroller sensor application’s load
profile will be “bursty”, complicating the task of
estimating the required value of CP out . However, if the
load can be approximated in terms of a resistive load,
the following equations can be used to estimate the
required capacitance, available runtime, energy per
discharge or power stored.
Equation 4: Average Power (Watts)
In the equations above, T d is the runtime or discharge
time in seconds, T c is the charge time in seconds, R is
the equivalent load resistance in ohms, V 0 is the
starting output voltage (2.4), V is the final output
voltage (1.8V or the minimum operating voltage of the
sensor, whichever is greater), and C is the capacitance
in Farads. Likewise, the output voltage can be modeled
as a simple RC time constant, V = V 0 e -T/RC .
Continuously-Powered Application with
Input-Dependent Triggering
Sometimes it may be advantageous to incorporate
vibration-powered battery maintenance and/or
triggering into a continuously-running circuit. For
example, a sensor may require low-level continuous
power to maintain a realtime clock, but measurement
tasks are only needed when a piece of machinery is
known to be operating. Alternately, it may be desired to
dynamically adjust the measurement rate based on the
incoming power to maintain a given power budget. In
REVISION N0. 002
REVISION DATE: 01-23-2013
15
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