ℹ️ About This Calculator
A lightning protection system (LPS) intercepts strikes with air terminals and channels the current safely to earth through down conductors. This calculator gives the rolling-sphere protection radius for an air terminal and the number of down conductors required, based on the protection level you select under IS/IEC 62305.
The rolling-sphere method imagines a sphere - 20 m radius for the highest protection level (LPL I) up to 60 m for LPL IV - rolled over the structure; anything it cannot touch is protected. The protection level also fixes the maximum spacing between down conductors, from 10 m (LPL I-II) to 20 m (LPL IV). A full design also needs a risk assessment per IEC 62305-2.
📐 Rolling Sphere Formula (IS/IEC 62305)
IS/IEC 62305
rp = √(2 R h − h²) (for h ≤ R) N = ceil(perimeter / spacing), min 2 rp = protection radius at the reference plane, m R = rolling-sphere radius (20/30/45/60 m by LPL) h = air-terminal height above the plane, m N = number of down conductors spacing = 10/10/15/20 m by protection level
🧮 Worked Example
Example: For protection level LPL II the rolling sphere radius is 30 m and the down-conductor spacing is 10 m. A 5 m air terminal gives a protection radius rp = √(2 × 30 × 5 − 5²) = √275 ≈ 16.6 m at roof level. For an 80 m building perimeter the number of down conductors is ⌈80 / 10⌉ = 8.
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