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PV System Sizing
and Applications
PV System Output
and Sizing
PV modules are typically
rated by their peak power output when exposed to a
solar radiation of 1000 watts per square meter (317.2
BTU/hr-ft ²) at a module temperature of
25ºC (77ºF). The former value is referred to as "peak
sun" conditions.
During July in North
Carolina, there are 14 hours between sunrise and
sunset. Much of that time the sun will not shine at
peak intensity (1000 W/m²). Clouds or haze may also
cause the availability of solar energy to be reduced.
The daily output of a PV system is measured in "peak
sun hours," which is the number of hours the sun would
had to have shone at peak intensity to generate the
total solar radiation for the day. Thus, a PV array
receiving 7000 watt-hours per square meter (7000
W-hr/m²) per day has received the equivalent of 7
hours of sunshine at peak conditions (i.e., 7 "peak
sun hours").
Tables 1 and 2 show the
average daily "peak sun hours" on a monthly basis for
fixed (Table 1) and tracking (Table 2)
arrays for the Raleigh-Durham area.
Table 1.
Solar Availability in Raleigh-Durham, NC for
South-Facing, Fixed Arrays (kWh/m²)
| Month |
Latitude
Tilt -15 (º) |
Latitude
Tilt (º) |
Latitude
Tilt +15 (º) |
| January |
2.81
|
3.20
|
3.41
|
| February |
3.85
|
4.25
|
4.43
|
| March |
4.69
|
4.94
|
4.92
|
| April |
5.61
|
5.56
|
5.23
|
| May |
5.58
|
5.30
|
4.78
|
| June |
5.78
|
5.39
|
4.77
|
| July |
5.75
|
5.41
|
4.83
|
| August |
5.53
|
5.40
|
5.01
|
| September |
4.80
|
4.90
|
4.76
|
| October |
4.29
|
4.64
|
4.75
|
| November |
3.69
|
4.20
|
4.49
|
| December |
2.79
|
3.22
|
3.48
|
| Average |
4.60 |
4.70 |
4.57 |
Table 2.
Solar Availability in Raleigh-Durham, NC for One and
Two Axis Tracking Arrays (kWh/m²)
| Month |
Latitude
Tilt -15 (º) |
Latitude
Tilt (º) |
Latitude
Tilt +15 (º) |
Two Axis
Tracking |
| January |
3.48
|
3.79
|
3.96
|
4.00
|
| February |
4.95
|
5.26
|
5.38
|
5.39
|
| March |
6.27
|
6.45
|
6.42
|
6.47
|
| April |
7.71
|
7.68
|
7.44
|
7.74
|
| May |
7.16
|
6.97
|
6.60
|
7.22
|
| June |
7.30
|
7.03
|
6.59
|
7.43
|
| July |
7.18
|
6.94
|
6.53
|
7.27
|
| August |
7.02
|
6.93
|
6.64
|
7.04
|
| September |
5.98
|
6.06
|
5.94
|
6.07
|
| October |
5.37
|
5.64
|
5.71
|
5.72
|
| November |
4.66
|
5.06
|
5.28
|
5.31
|
| December |
3.36
|
3.71
|
3.92
|
3.97
|
| Average |
5.87 |
5.96 |
5.87 |
6.14 |
Solar cells become less
efficient as their temperature rises.
In summer, cells can easily
reach 45ºC (113ºF), reducing power output 8% below
standard operating conditions. Failure to consider
this reduction could cause major design errors.
Example: Estimating Daily
Power Output from a 50 Watt Panel in Raleigh N.C.
| Orientation:
South facing at 35º tilt from horizontal (see
Table 1) |
| Peak Sun
Hours (July) |
= 5.41 hr. |
| Peak Sun Hours (Dec.) |
= 3.22 hr. |
| Energy Produced (July) |
= (50W)*(5.41hr) - 8% |
| |
= 249 W-hr/day |
| Energy Produced (Dec.) |
= (50W)*(3.22 hr) |
| |
= 161 W-hr/day |
Thus, to maintain an average
system output of 1 kWh would require four 50W panels
in July and six panels in December.
PV systems typically require
high quality "deep-cycle" batteries, such as those
used in marine or golf cart applications. Automobile
batteries are not designed to be deeply discharged and
will wear out in just a few months in a typical PV
application. Deep cycle batteries are usually rated by
the number of "ampere-hours" available from full
charge to total discharge at a specified rate of
discharge.
When a battery stores
electricity, it loses energy in the form of heat. A
typical "turn-around" efficiency for a deep-cycle
battery is 70%. This implies that for every 100
amp-hours of energy stored in a battery, only 70
amp-hours can be recovered.
If all the energy generated
by a PV system is to be used during non-solar hours,
the system sizing must reflect the 30% loss inherent
in battery operation. However, if half of the load is
carried directly by the PV modules during the day, the
system output need only be discounted by 15%.
The amount of energy that a
battery can provide to a load is affected by its rate
of discharge. For example, a typical 12 volt
deep-cycle battery may have a current rating of 100
amp-hours when discharged over 20 hours (i.e., at a
discharge rate of 5 amperes). If the discharge rate is
reduced to 1 ampere, it may be possible to receive 120
amp-hours from the same 100 amp-hour battery (i.e., a
discharge period of 120 Hours).
Battery power (amp-hours) can
be converted to photo-voltaic power (watt-hours) by
simply multiplying the battery voltage by the amp-hour
rating. Thus, a 12 volt, 100 amp-hour battery is
capable of providing 1200 watt-hours of energy.
Since batteries are
relatively expensive, prolonging battery life is an
important aspect of PV system operation. This is best
achieved by discharging the battery only slightly
before recharging. Good system design suggests that a
battery system be sized so that the daily load does
not discharge the battery more than 20%. In the event
of an extended cloudy period, the battery should never
be discharged more than 80%. Most stand-alone systems
with battery storage need a good quality
charge-controller to insure that the battery is
never over- charged or over-discharged. Both extremes
can cause permanent damage to a battery.
Battery autonomy refers to
the length of time a fully charged battery system can
maintain operation of its electrical loads without
input from the PV system. In some critical
applications, it may be necessary to provide up to
seven or eight days of autonomy to insure that the
load will never be without power. This typically
requires a large (expensive) battery bank. Many
applications are not nearly this critical, with two or
three days of battery autonomy being sufficient.
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