Model compound system losses from obstructions, dirty panels, thermal degradation, and wiring resistance.
Waterfall cascade showing cumulative impact of each derate coefficient.
A common mistake in solar design is adding individual loss percentages together (e.g., 5% shade + 3% soiling = 8% total loss). In reality, solar losses compound multiplicatively. For example, if you start with 10,000 kWh of ideal energy and lose 5% to shading, you are left with 9,500 kWh. If you then lose 3% to soiling, that loss is calculated as 3% of 9,500 kWh, leaving 9,215 kWh. This cascading sequence yields a true remaining factor of: (1 - 0.05) × (1 - 0.03) = 0.95 × 0.97 = 0.9215 (or 92.15%).
This calculator executes a complete multi-stage compound multiplication across seven distinct loss categories to map the true waterfall yield curve. Understanding this cascade is essential for setting realistic performance expectations and preventing system underproduction, which can lead to legal or financial compliance issues for installers.
By analyzing the exact stage where the largest drop occurs — whether thermal losses or shading — engineers can identify key areas for system optimization. For instance, high thermal losses might prompt a change to modules with a lower temperature coefficient, while high shading losses might justify adding DC optimizers or microinverters.
A solar engineer is designing a residential system with an ideal unshaded annual output of 15,000 kWh. Due to a nearby oak tree, the array experiences an estimated 5.0% shading loss. The system also experiences 2.0% soiling, 3.0% temperature derate, 2.0% wiring resistance, 3.0% inverter conversion losses, and 1.5% cell mismatch.
Inputs: Ideal production = 15,000 kWh, Shade = 5%, Soiling = 2%, Temp = 3%, Wiring = 2%, Inverter = 3%, Mismatch = 1.5%.
Calculation: Derate stages are multiplied sequentially: 0.95 (shade) × 0.98 (soiling) × 0.97 (temp) × 0.98 (wiring) × 0.97 (inverter) × 0.985 (mismatch) = 0.846. The compound system derate factor is 84.6%, representing 15.4% total loss. Adjusted output is calculated as: 15,000 kWh × 0.846 = 12,690 kWh/year. Lost energy is 2,310 kWh.
Result: Real-world annual yield is 12,690 kWh. At a retail utility rate of $0.18/kWh, the compound losses cost the customer approximately $415 per year. Knowing this, the installer can evaluate whether trimming the oak tree is cost-effective.
A solar derate factor is a compound multiplier representing the overall efficiency of a solar power installation after accounting for real-world losses. It is calculated by multiplying individual factor stages, such as shading (e.g. 0.92), soiling (e.g. 0.97), thermal voltage drop (e.g. 0.955), wiring resistance (e.g. 0.98), and inverter conversion inefficiency (e.g. 0.96). The result shows the percentage of standard test condition (STC) energy that actually reaches the utility grid.
In a traditional string inverter system, panels are connected in series. If one panel is shaded, its resistance increases, restricting the current flow through the entire string (similar to a kink in a garden hose). Modern systems use bypass diodes to route current around shaded panels, or module-level power electronics (MLPEs) like microinverters or DC optimizers, which allow each panel to operate independently and isolate shading losses to the obstructed modules.
A typical, well-designed residential solar system has a cumulative derate factor of 75% to 85% (representing 15% to 25% compound losses). This accounts for inverter conversion (3% to 5%), temperature coefficient losses (3% to 8% depending on climate), wiring voltage drop (1% to 3%), soiling/dust accumulation (2% to 5%), and minor mismatch or light-induced degradation (1.5%).
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Project: N/A
Designer: N/A
Date:
| Ideal Unshaded: | 12,000 kWh |
| Shading Obstruction: | 8.0% |
| Soiling / Snow: | 3.0% |
| Temperature Derate: | 4.5% |
| Wiring & Connections: | 2.0% |
| Inverter Efficiency: | 4.0% |
| LID & Cell Mismatch: | 1.5% |
| Adjusted Energy Yield: | 9,216 kWh |
| Cumulative System Derate: | 76.8% |
| Cumulative Yield Losses: | 23.2% |
| Lost Energy: | 2,784 kWh |
| Annual Financial Loss: | $501 / yr |
| Loss Stage | Stage Factor | Energy Remaining | Loss in Stage | Cumulative Loss % |
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This report is for informational and educational sizing purposes. Calculations comply with standard engineering formulas.
Generated by Solaricy — solaricy.com/tools/shading-derate