PV System Sizing & Design
Proper sizing is the difference between a solar system that meets expectations and one that disappoints. This guide walks through every calculation — from daily load assessment to cable gauge selection — with a complete worked example you can adapt to your own project.
Step 1: Load Assessment
Every system design begins with a thorough load assessment — a detailed inventory of every electrical device the system must power, its power rating (watts), and its daily operating hours. Multiply each device's wattage by its hours of use to obtain Watt-hours per day (Wh/day), then sum all devices to determine the total daily energy consumption. This single number — your daily energy budget — drives every subsequent sizing decision.
Be conservative: people consistently underestimate their energy use. Add a 15–25% contingency for future load growth, measurement uncertainty, and inverter inefficiency. For off-grid systems, also record the peak instantaneous power (the maximum wattage drawn simultaneously if all major loads run at once) — this determines inverter sizing. Load profiling over at least one week (ideally a full year) captures seasonal variation in lighting, heating, and cooling demands.
Step 2: Solar Resource Assessment
The available solar energy at a site is expressed in Peak Sun Hours (PSH) — the equivalent number of hours per day during which solar irradiance averages 1,000 W/m² (standard test conditions). A location receiving 5.0 kWh/m²/day of total global horizontal irradiance (GHI) is said to have 5.0 PSH. PSH values are available from databases like NASA POWER, PVGIS, and SolarGIS, and vary dramatically by latitude, season, and local climate.
For system sizing, use the worst-month PSH — typically December in the northern hemisphere, June in the southern — to ensure the system meets demand year-round. Sizing for annual average will leave the system undersized during low-sun months, forcing reliance on backup generation or load shedding. The difference between worst-month and best-month PSH can be 3× or more at high latitudes, making this a critical design parameter.
Step 3: Array Sizing
The fundamental array-sizing equation is: Array Power (W) = Daily Load (Wh/day) ÷ (PSH × Efficiency Factors). Efficiency factors account for real-world losses: charge controller efficiency (0.95–0.99 for MPPT, 0.75–0.85 for PWM), battery round-trip efficiency (0.85–0.95 for lithium, 0.75–0.85 for lead-acid), wiring losses (0.97–0.99), temperature derating (0.85–0.95 for hot climates), and soiling/degradation (0.90–0.95). Multiply all factors to obtain the overall derating factor, typically 0.60–0.75 for a well-designed system.
Example: a system with 5,000 Wh/day load, 4.0 PSH (worst month), and a 0.70 overall derating factor requires 5,000 ÷ (4.0 × 0.70) = 1,786 Wof solar array. Select panels whose combined wattage meets or slightly exceeds this figure, then configure them in series-parallel to match the charge controller's input voltage and current limits. Always leave headroom — exceeding the calculated minimum by 10–15% provides margin for degradation and unexpected loads.
Step 4: Battery Bank Sizing
Battery capacity is determined by the required autonomy — the number of consecutive days the system must supply the load without any solar input (typically 1–3 days for grid-connected backup, 3–7 days for off-grid). The sizing equation: Battery Capacity (Wh) = (Daily Load × Autonomy Days) ÷ (Depth of Discharge × System Voltage Factor). Depth of Discharge (DoD) is the fraction of battery capacity that can be used without damaging the battery — 80% for LFP lithium, 50% for lead-acid.
Example: 5,000 Wh/day load, 3 days autonomy, 80% DoD (LFP), 48 V system. Required capacity = (5,000 × 3) ÷ (0.80 × 1) = 18,750 Wh. At 48 V, this translates to 18,750 ÷ 48 = 391 Ah. Select a battery bank with at least 400 Ah at 48 V. Also verify the battery can deliver the peak load current without excessive voltage sag — a battery's C-rate must be checked against the maximum discharge current.
Step 5: Inverter Sizing
The inverter converts DC from the battery bank to AC for standard appliances. Its continuous power rating must exceed the peak simultaneous AC load, and its surge rating must handle motor-starting inrush currents (typically 2–5× running current for induction motors). A general rule: size the inverter at 1.0–1.3× the array power for grid-tied systems, and 1.2–1.5× the peak load for off-grid systems, ensuring surge capacity covers the largest motor load.
Also match the inverter's DC input voltage to the battery bank voltage (12 V, 24 V, or 48 V). For systems above 3 kW, 48 V is strongly recommended — it halves the current (and thus I²R losses) compared to 24 V, enabling smaller, cheaper cabling and higher efficiency.
Step 6: Cable Sizing
Cable cross-sectional area must satisfy two independent criteria: ampacity (safe current-carrying capacity without overheating) and voltage drop (energy loss along the cable). Voltage drop is calculated as V_drop = 2 × I × L × R_per_meter (the factor of 2 accounts for the round-trip path), and should remain ≤3% of system voltage for the DC side and ≤2% for the AC side. Excessive voltage drop wastes energy as heat and can cause inverters to shut down prematurely at low battery voltages.
For long cable runs — common in ground-mount arrays far from the equipment room — the voltage drop criterion often dictates a larger conductor size than ampacity alone would require. Standard PV wire (USE-2 or PV1-F, double-insulated, UV-resistant) is mandatory for outdoor DC cabling. All connections must be made with MC4-compatible connectors rated for the system's maximum open-circuit voltage at the lowest expected temperature.
Complete Design Example
Scenario: Off-grid cabin in southern Spain (latitude 37°N). Daily load: 3,200 Wh. Worst-month PSH (December): 3.2. System voltage: 24 V.
Array: 3,200 ÷ (3.2 × 0.68) = 1,471 W → Select 4 × 400 W panels = 1,600 W ✓
Battery (LFP, 3 days autonomy, 80% DoD): (3,200 × 3) ÷ 0.80 = 12,000 Wh → 12,000 ÷ 24 = 500 Ah → Select 24 V, 500 Ah LFP bank ✓
Inverter: Peak simultaneous load = 1,800 W (includes fridge startup surge) → Select 2,500 W / 5,000 W surge, 24 V inverter ✓
Charge Controller: 1,600 W ÷ 24 V = 66.7 A → Select 80 A MPPT controller with 150 V input ✓
Cables: Array-to-controller (15 m run): 2 × 66.7 A × 15 m = 2,000 A·m → 10 mm² copper yields 2.8% drop ✓
Software Tools
While hand calculations build intuition, professional designers rely on specialized software for detailed simulation and optimization. PVsyst is the industry standard for detailed energy yield simulation, loss analysis, and shading modeling — essential for utility-scale and commercial projects. SAM (System Advisor Model, from NREL) provides financial modeling alongside technical performance prediction, useful for comparing technology scenarios and calculating LCOE.
HOMER (Hybrid Optimization of Multiple Energy Resources) specializes in hybrid systems combining solar, wind, diesel, and storage, optimizing for lowest cost of energy. For quick residential estimates, online calculators from inverter and battery manufacturers provide a reasonable starting point. Regardless of the tool, always validate results against hand calculations and real-world performance data from similar installations.
📌 📐 Sizing Key Points
- ◆Load assessment: Inventory every device (W × hours/day), sum to Wh/day, add 15–25% contingency
- ◆Solar resource: Use worst-month Peak Sun Hours (PSH) — not annual average — to guarantee year-round performance
- ◆Array sizing: Daily Load ÷ (PSH × overall derating factor) — derating factor typically 0.60–0.75 for well-designed systems
- ◆Battery sizing: (Daily Load × Autonomy Days) ÷ (DoD) — LFP allows 80% DoD, lead-acid only 50%
- ◆Inverter sizing: 1.0–1.3× array power (grid-tied) or 1.2–1.5× peak load (off-grid) with surge capacity for motors
- ◆Cable sizing: Voltage drop ≤3% (DC side), ≤2% (AC side) — use V_drop = 2 × I × L × R_per_meter
- ◆For systems above 3 kW, 48 V system voltage halves current and I²R losses compared to 24 V
- ◆Professional tools: PVsyst (detailed yield), SAM (techno-economic), HOMER (hybrid optimization) — validate with hand calcs
⚠️ Sizing errors cascade. An undersized array starves the battery, an undersized battery triggers premature low-voltage disconnect, and an undersized inverter trips under load. Every component interacts — treat sizing as an integrated system, not independent calculations. For critical installations, engage a professional solar designer and validate with simulation software. See our Battery Systems and Energy Management guides for deeper component-specific detail.
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