In parallel: 1558/130 = 12

In series: 48/12 = 4

Total: 12 × 4 = 48

We choose TYPE: J150, 12 VOLT, 5-Hr Rate CAPACITY 120 Ah, 20-Hr Rate CAPACITY 150 Ah. Take 130 Ah [6] .

Step 4. PV Array Sizing:

Choose SW 225 mono of SOLARWORLD Co. which temperature character is shown in Figure 3.

Current Output Calculation [7] .

L: Daily electricity consumption, kW∙h;

η1: Line Loss, 0.9;

η2: Battery Discharge efficiency, 0.7;

h: Average sunshine hours, h; [8]

According to this current, PV panels in parallel should be 123.6/8.17 = 15.13 ≈ 15.

Number in series = System Voltage/panel voltage

= 48 V/29.7 V = 1.61 ≈ 2.

PV Array power output calculation:

Surplus capacity: 10% - 20%, take 0.15

Battery efficiency: 0.9

Temperature loss factor: 0.9

Dust loss factor: 0.9

Controller efficiency: 0.85

Output * Safe factor = 3.1 * 1.77 = 6.92 W

According to this output, temporarily design PV array capacity: 6.92 kW > 6.14 kW

PV Array series-parallel design

Numbers in series and parallel are according to system voltage and current [10] . We assumed for this 6.92 kWp system, using 30 bucks of 225 Wp∙PV panels which 15 in parallel and 2 for series, system open circuit voltage is 110.4 V; short circuit current is 81.7 A; operating voltage 88.5 V, operating current is 76.3 A.

But as the actual working temperature (about 60˚C) rise will lead the MPPT voltage decrease, the coefficient is −0.43%/˚C (−16.6 V); meanwhile, in low irradiance circumstances the operating voltage would decrease too, normally down to 92% (−9 V); in addition, in the wire and the connections between appliances there are voltage drops about 1V, so actual operating voltage is close to the charging voltage for battery, which is about 60 V.

Charging current is about 76 A (Which is smaller than Constant voltage charging current limiting value: 10%C = 155 A), as an ideal charging setting.

1) Battery bank and PV array design verification

Battery daily discharge rate = daily load/battery capacity = ((17.95 kW∙h /48 V)/1558 Ah ≈ 0.24 < 0.8(DOD)

So the battery bank would not over discharge;

2) Maximum charging rate = Battery capacity/PV Array current = 1558Ah/(7.63A × 10) ≈ 20.4 h > 10.25 h (Maximum charging current: 10%C = 155 A)

PV array would not overcharge the battery;

Step 5. Spacing between rows [11]

Take the worst situation of the year for calculation that is in December the solar angle is 47˚ at noon when the sun is the highest in the sky using Figure 4 to illustrate.

D₁ = X·COSβ = 1675 mm × COS20˚ = 1574 mm

H = X·SINβ = 1675 mm × SIN20˚ = 573 mm

D₂ = H·TAN(δ_m + L) = 573 × 2.36 = 1352 mm

D_T = D₁ + D₂ = 2926 mm

With δ_m = 47 ˚ indicates the declination at the winter solstice (December 21), that is the time when the sun is at the lowest elevation and L is the latitude of the site which is 19.5˚. In order to account for times before and after noon when the sun’s angle is lower, a common distance greater should be used. It was decided that a spacing of 3000mm would be acceptable and the whole frame work is shown in Figure 5.

Step 6. Inverter and Charge Controller: [14]

According to Solar world website. Solar World makes good use of the longstanding experience of SMA, the German market leader with respect to efficiency, durability, cost effectiveness and service.

Solar World solar power systems are optimally enhanced by SMA inverters. The SMA inverters are a perfect fit for Solar World’s definition of quality.

Solar World uses Inverters (besides SMA) and Charge Controllers of STECA, a leading supplier for regulation and control of solar energy systems. Its long lasting experience, high quality standards and cost effectiveness match to Solar World’s demands primarily for off-grid systems [15] .

Inverter capacity = Load Power/0.8 = 6144 W/0.8 = 7.68 W

In this system we use SMARTFORMER FOR SUNNY ISLAND inverter.

Controller current = System capacity/voltage * loss factor = 6.92 KW/48 * 0.85 = 122.4 A

For charge controller we use Steca Tarom 4140 [16] .

1. System Investment Content

This PV system has installed capacity of 6.92 kW, investment include PV panels, off-grid inverter, batteries, charge controller, AC circuit breaker, wires, PV panel mounting rack, power shed, labor fees and so on which are presented in Table 2 and Table 3.

2. Project budget

According to the latest edition of Tracking the Sun, an annual PV cost tracking report produced by the Department of Energy’s Lawrence Berkeley National Laboratory (Berkeley Lab). The report indicates that the median installed price of PV systems completed in 2012 was $5.30/W for residential and small commercial systems smaller than 10 kilowatts (kW) in size. It fell by 0.90$ per Watt in 2013. For developing country the labor is cheaper, take India for reference, its rate is around 2.5$ per Watt for installation [18] .

All of these cost items are variable costs, so the cost will increases with total installed capacity and if there is expansion in the future.

1) The total installed capacity of 6.92 kWp, the total cost is 41,735$;

2) The project is completed in 2014 (from the proposal been accepted);

3) The total investment donated is tentatively scheduled for 70%;

4) Through simulation software estimation, the first year of the project the system will generate about 14,712 kW∙h in total, take the annually decay rate by eight thousandth , within 25 years of life cycle the total generation is 334,563.4 kW∙h, plus a roughly annual cost of $3325 for maintenance, the average price is about 0.35 $/ kW∙h.

The payback period is easy to get then by following. As we know in Haiti the cost of electricity produced by the electric grid company is about 0.23$/kW∙h, and take the first year production which will lead to $3383 value. So the payback time of this system is 10.71 year, compared to the average payback time for the developing countries, which is 6.76 years.