- Calculate
the required full sun current specification for your module: Imod
Imod = Imin x
100% / Lmin
- Chose
a module that matches the voltage required and the current, Imod calculated.
Note:
Module performance is usually specified in terms of current
@ a specific voltage (i.e. 50mA@3V) which gives performance
at a specific operating point. This operating point is usually
close to the power point. Some modules are specified at full
sun and others at lower intensities such as 1/4 Sun. This is
done to simplify selection. 1/4 sun is a more typical intensity
used by portable electronics and is often chosen as the threshold
intensity.
Example
Calculations for Applications using Direct Power
Example
1: A radio to be powered by the module requires 9 mA at
3 Volts to operate. You want the radio to operate with any illumination
above 20% of full sun.
Imod = Imin x
100% / Lmin =
9 mAx100/20 = 45mA.
Thus
you need a module which will produce 45mA at 3 V under full
sun illumination.
Example
2: Same as Example 1, but the given operating light is office
light. Lmin = 0.4%.
Imod = 9mAx100/0.4 =
2,250mA.
This
is a very large module for a radio. A better solution may be
to use a smaller module coupled with a battery which recharges
from the module when left in a window.
Example
3: You want a Flashing LED for a point of purchase display
which works under store illumination. The flasher circuit uses
an average of 0.1mA at 2.4 Volts to power 5 LEDs.
Imin = 0.1mA.
Store lighting gives Lmin = 1.3%
Then: Imod = 0.1mA x 100/1.3 = 7.7 ma @ 2.4V.
Alternatively,
you might look at the low-light specifications where performance
is given at 0.4% of full sun (about 400 Lux). This can be normalized
to the 1.3% level.
Calculations
for Systems with Batteries
Voltage
considerations
For
battery charging applications, the operating voltage of the
module should be at least as high as the charging voltage of
the battery. This is higher than the battery's output voltage.
A single NiCd battery has a typical output voltage of 1.2 volts,
but requires 1.4 Volts for charging purposes. A 12 Volt lead
acid battery needs a charging voltage from 14 to 15 Volts. In
cases where a blocking diode is required to prevent the battery
from discharging through the solar module when the module is
in the dark, an additional 0.6 V is required. As an example,
a battery pack with 3 NiCd batteries, which operates at 3.6
Volts, needs a module with either 4.2 or 4.8 V depending on
whether a blocking diode is used.
Is
a blocking diode required?
When
the solar module is in the dark and still connected to the battery,
it is simply a forward biased diode and can drain current from
the battery. This is less of a problem for amorphous silicon
modules than single crystalline modules, but can still be a
problem if the module is in the dark a large percentage of the
time. The leakage rate also drops dramatically if the open circuit
voltage of the module is significantly larger than the output
voltage of the battery. For applications that get sun daily,
diodes can probably be ignored if the module is sized correctly.
If the application is going to spend extended time in a case
or drawer, however, a blocking diode would be advisable. Each
application should be evaluated individually for this choice.
Current
calculations
- Calculate
average current draw: Iavg.
This is equal to the current draw of the application times
the duty cycle.
- Estimate
the average illumination on the module, Lavg (i.e. 4 hours of full sun per day averages to Lavg = 4/24 = 16.6% of full sun average illumination over the
day). See table above for help on this.
- Calculate
the module current requirement. Imod = Iavg x 100% / Lavg.
- Select
the module that matches the voltage required and current Imod calculated.
Example
Calculations for Applications with Batteries
Example
4: A yard light draws 20mA and you want it to work for 8
hours per night. You estimate that you get the equivalent of
4 hours of full sun per day.
Iavg = Iapp x duty cycle = 20 ma x 8hr/24hr =
6.67 ma
Lavg = 100%x 4/24 = 16.67%
Imod = 6.67 ma x 100 / 16.67 = 40 ma
Example
5: A mobile phone draws 3mA in the standby mode and 300mA
in the talk mode. It is assumed that the phone is used in the
talk mode for an average of 10 minutes per day, while in the
standby mode for 23hrs and 50 minutes. The phone can get an
equivalent of 2 hours of direct sunlight per day. Find the module
size needed to keep the phone charged.
Iavg = Iapp x duty cycle
=
[3mA x (23hr 50 min)/24hr] + 300mA x (10min/24hr)
=
[3mA x .993] + [300mA x .0069] = 5.05mA
Lavg = 100% x 2/24 = 8.33%
Imod = 5.05mA x 100/8.33 = 60mA
If
the charging voltage of the phone is 6V, you will need a 6V,
60mA module at the very least to supply all needed power from
the module.
Example
6: A fishing boat has a 12 volt battery system which powers
a trolling motor and depth finding equipment. The boat is in
use 4 days out of every month and requires an average of 2A
for 6hrs of use per day. The boat will get an average of 4.5hrs
of sunlight per day. Calculate the module size needed considering
a monthly cycle.
Iavg = Iapp x
duty cycle
=
2A x (4 days x 6hr/30 days) = 2A x (4 days x 6hr/(30days x
24hr/day)
=
.35A = 35mA
Lavg = 100% x 4.5/24 = 18.75%
Imod = 70mA x 100/18.75 = 373mA
If
the boat is used 4 days per month with the days separated by
equal time intervals, a 14V 400mA module should be sufficient
to store enough energy to run the boat. However, if the boat
were used 2 consecutive days, there would not be enough time
to fully recharge the battery before the next day's use. If
the capacity of the battery is sufficient, this will not be
a problem, but if the capacity of the battery is such that only
one day's energy can be stored in it, more charging capacity
will be needed and the calculations will have to be redone on
a daily cycle.