📐 Mathematical Formula & Derivation
P_{kWp} = \frac{E_{day}}{H_{sun} \times \eta_{sys}}, \quad C_{battery} = \frac{E_{day} \times f_{night}}{\text{DoD}_{LiFePO4}} 🔬 Engineering Methodology & Benchmark Analysis
Real-world solar PV arrays deliver approximately 78%–82% of their nameplate DC wattage after accounting for inverter conversion efficiency, panel temperature derating, and wiring losses.
For battery storage, modern Lithium Iron Phosphate (LiFePO4) cells safely support an 85%–90% Depth of Discharge (DoD) over 6,000+ cycles—vastly outperforming legacy lead-acid/AGM batteries that degrade rapidly below 50% DoD.
🛠️ Step-by-Step Engineering Calculation Guide
- Average Daily Electricity Consumption (kWh/day): Configure "Average Daily Electricity Consumption (kWh/day)" (default benchmark: 24) or select an industry preset.
- Average Daily Peak Sun Hours (Location Irradiance): Configure "Average Daily Peak Sun Hours (Location Irradiance)" (default benchmark: 4.8) or select an industry preset.
- Night / Blackout Battery Autonomy Target (Hours): Configure "Night / Blackout Battery Autonomy Target (Hours)" (default benchmark: 14) or select an industry preset.
- Utility Grid Electricity Price per kWh: Configure "Utility Grid Electricity Price per kWh" (default benchmark: 0.26) or select an industry preset.