Methods / Lightning Risk
How RokBench checks this

Lightning Risk Assessment

The simplified frequency comparison used to decide whether a structure needs lightning protection.

1. What this check does

Computes the equivalent collection area of a rectangular structure, the expected annual number of direct strikes and the tolerable annual number, and recommends protection when the expected exceeds the tolerable.

2. Inputs used

3. Formulas and assumptions

Collection area
Ae=LW+6H(L+W)+9πH2A_e = LW + 6H(L + W) + 9\pi H^2

Area within 3H of the structure.

Flash density
Ng≈0.1 TdN_g \approx 0.1\,T_d

Only when flash density is unknown.

From satellite data
Ng≈Nt1+Z,Z=4.16+2.16cos⁡3λN_g \approx \dfrac{N_t}{1 + Z}, \qquad Z = 4.16 + 2.16\cos 3\lambda

Nt = total flash density (NASA LIS/OTD), λ = latitude. The default uses Z = 2 (Nt/3), the smallest Z of the formula, which is conservative; the latitude value of Z is offered as an option.

Expected
Nd=Ng Ae C1×10−6N_d = N_g\, A_e\, C_1 \times 10^{-6}

Strikes per year.

Tolerable
Nc=1.5×10−3C2C3C4C5N_c = \dfrac{1.5 \times 10^{-3}}{C_2 C_3 C_4 C_5}

Protection recommended when Nd > Nc.

Required efficiency
E=1−NcNdE = 1 - \dfrac{N_c}{N_d}

Level IV if E ≤ 0.80, III ≤ 0.90, II ≤ 0.95, I ≤ 0.98, I plus additional measures above 0.98.

Symbols
L, W, HL,\ W,\ HStructure length, width, heightm
AeA_eEquivalent collection aream²
NgN_gGround flash densityflashes/km²/yr
TdT_dThunderstorm daysdays/yr
Nt, Z, λN_t,\ Z,\ \lambdaTotal (cloud + ground) flash density; cloud-to-ground ratio; latitudeflashes/km²/yr, —, °
C1C_1Location factor (surroundings)
C2…C5C_2 \ldots C_5Construction, contents, occupancy and consequence factors
Nd, NcN_d,\ N_cExpected and tolerable strike frequencyper yr
EERequired interception efficiency of the protection system
Plan view of a rectangular building L by W with a boundary drawn 3H away, with rounded corners of radius 3H.
Figure 1. Equivalent collection area: the building footprint extended by 3H on every side.
Flow: Nd compared with Nc; if Nd is greater, E = 1 − Nc/Nd selects protection level I to IV.
Figure 2. From expected and tolerable strike frequency to the protection level.
Chart of the cloud-to-ground share 1/(1+Z) rising from about 0.14 at the equator to 0.33 at 60 degrees, with the conservative default of one third drawn as a flat line.
Figure 3. From satellite total lightning to ground flashes: the share that strikes ground by latitude.

4. What is NOT checked

5. Reference standards

Pointers only; consult the edition adopted by your authority having jurisdiction.

6. Validation cases

These worked examples run through the engine on every change; the expected values come from the cited source. All cases: Validation.

Rectangular structure 30 × 20 m, 10 m high lightning/risk · Hand calculation

Pass

Source: Hand calculation from the published collection-area and frequency equations (NFPA 780 Annex L) — Ae = 30·20 + 6·10·(30+20) + 9π·10² = 6427.4 m²; Nd = 4 · 6427.4 · 1 · 1e-6 = 0.02571; Nc = 1.5e-3. E = 1 − 0.0015/0.025710 = 0.94166 → protection level II.

QuantityExpectedRokBenchErrorResult
collectionAreaM26427.46427.40%Pass
expectedFrequency0.025710.025710%Pass
tolerableFrequency0.00150.00150%Pass
requiredEfficiency0.9416560.94170.005%Pass

7. Known issues and changes

See the Engineering Notes. Try the tool: Lightning Risk Assessment.

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