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Optimal Tilt Angle

Fixed tilt recommendations from site latitude.

Design

Inputs (SI units)

Results

Annual optimum
28°
Summer tilt
13.6°
Winter tilt
43.6°
Latitude tilt
28.6°

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Engineering Formula

  • β_annual = |φ| × 0.87 + 3.1° (Duffie-Beckman fit)
  • β_summer = |φ| − 15°
  • β_winter = |φ| + 15°

For fixed arrays, annual-optimum tilt is slightly below latitude. Seasonal tilt shifts ±15° to capture higher sun in summer and lower sun in winter.

Step-by-step Calculation

  1. 1.|Latitude||φ|28.6°
  2. 2.Annual0.87|φ|+3.128°

Design Assumptions

  • Southern hemisphere: tilt north; formulas by |latitude|.
  • Ignores site-specific horizon shading.

Engineering Tips

  • Bifacial gain increases with tilt — up to +8% at 30°.
  • Latitude ≤ 10°: use 10–12° minimum for self-cleaning.

Warnings

  • Tilt < 10° accelerates soiling loss (up to 15%/yr).

Standards & References

ASHRAE Fundamentals Ch. 14NREL SAM defaults

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