Required Calculations: Battery Bank Sizing:Calculate the required Amp-hour (Ah) capacity Controller requirements). , and how many inparallel(NP , to match the 24V system (considering Charge Total Array Capacity:Determine the total Watt-peak (Wp)required Module Configuration:Calculate the total number of panels(Ntotal). for the solar array. Determine how many must be inseries(NS of the battery bank assuming a 50% Depth of Discharge(DOD).

Computer Science

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  1. Calculate Total Array Capacity

    First, determine the total daily energy that the solar array must generate, accounting for system losses.

    Egenerated=Daily Energy RequirementSystem Efficiency=4.8 kWh/day0.8=6 kWh/day=6000 Wh/dayE_{generated} = \frac{\text{Daily Energy Requirement}}{\text{System Efficiency}} = \frac{4.8 \text{ kWh/day}}{0.8} = 6 \text{ kWh/day} = 6000 \text{ Wh/day}

    Next, calculate the total Watt-peak (Wp) required for the solar array using the average peak sun hours (PSH).

    Parray=EgeneratedPSH=6000 Wh/day5 hours/day=1200 WpP_{array} = \frac{E_{generated}}{\text{PSH}} = \frac{6000 \text{ Wh/day}}{5 \text{ hours/day}} = 1200 \text{ Wp}

    The total array capacity required is 1200 Wp\boxed{\text{1200 Wp}}.

  2. Calculate Module Configuration

    Given:

    • Total Array Capacity (ParrayP_{array}): 1200 Wp1200 \text{ Wp}
    • Solar Panel Max Power (PmaxP_{max}): 300 Wp300 \text{ Wp}
    • System Voltage (VsysV_{sys}): 24 V DC24 \text{ V DC}
    • Solar Panel Voltage at Max Power (VmpV_{mp}): 32 V32 \text{ V}

    Calculate the total number of panels (NtotalN_{total}).

    Ntotal=ParrayPmax,panel=1200 Wp300 Wp/panel=4 panelsN_{total} = \frac{P_{array}}{P_{max, panel}} = \frac{1200 \text{ Wp}}{300 \text{ Wp/panel}} = 4 \text{ panels}

    Determine the number of panels in series (NsN_s). For a 24V system, a single panel with Vmp=32 VV_{mp} = 32 \text{ V} is suitable for charging via an MPPT charge controller.

    Ns=1 panel/stringN_s = 1 \text{ panel/string}

    Determine the number of parallel strings (NpN_p).

    Np=NtotalNs=4 panels1 panel/string=4 stringsN_p = \frac{N_{total}}{N_s} = \frac{4 \text{ panels}}{1 \text{ panel/string}} = 4 \text{ strings}

    The module configuration is 4 total panels\boxed{\text{4 total panels}}, with 1 panel in series\boxed{\text{1 panel in series}} per string and 4 strings in parallel\boxed{\text{4 strings in parallel}}.

  3. Calculate Battery Bank Sizing

    Given:

    • Daily Energy Requirement (ELE_L): 4.8 kWh/day4.8 \text{ kWh/day}
    • System Voltage (VsysV_{sys}): 24 V DC24 \text{ V DC}
    • Autonomy: 2 days2 \text{ days}
    • Depth of Discharge (DOD): 50%=0.550\% = 0.5

    First, calculate the daily energy requirement in Amp-hours (Ah).

    EL,Ah=EL×1000 Wh/kWhVsys=4.8 kWh/day×1000 Wh/kWh24 V=200 Ah/dayE_{L, Ah} = \frac{E_L \times 1000 \text{ Wh/kWh}}{V_{sys}} = \frac{4.8 \text{ kWh/day} \times 1000 \text{ Wh/kWh}}{24 \text{ V}} = 200 \text{ Ah/day}

    Now, calculate the required battery bank capacity, considering autonomy and DOD.

    Battery Capacity (Ah)=EL,Ah×AutonomyDOD=200 Ah/day×2 days0.5=800 Ah\text{Battery Capacity (Ah)} = \frac{E_{L, Ah} \times \text{Autonomy}}{\text{DOD}} = \frac{200 \text{ Ah/day} \times 2 \text{ days}}{0.5} = 800 \text{ Ah}

    The required battery bank capacity is 800 Ah\boxed{\text{800 Ah}}.

  4. Determine Charge Controller Minimum Current Rating

    Given:

    • Number of parallel strings (NpN_p): 4
    • Solar Panel Current at Max Power (ImpI_{mp}): 9.38 A9.38 \text{ A}
    • Safety Factor: 1.25 (standard practice for continuous current)

    Calculate the maximum current from the solar array.

    Iarray,max=Np×Imp=4 strings×9.38 A/string=37.52 AI_{array, max} = N_p \times I_{mp} = 4 \text{ strings} \times 9.38 \text{ A/string} = 37.52 \text{ A}

    Determine the minimum current rating for the Charge Controller, applying a safety factor.

    Charge Controller Rating=Iarray,max×Safety Factor=37.52 A×1.25=46.9 A\text{Charge Controller Rating} = I_{array, max} \times \text{Safety Factor} = 37.52 \text{ A} \times 1.25 = 46.9 \text{ A}

    The minimum current rating required for the Charge Controller is 46.9 A\boxed{\text{46.9 A}}.

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