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Sacrificial anode CP: current demand and anode mass

Mean protective current from the surface area, the current density and the coating breakdown factor, and the net mass of galvanic anodes for the design life — per DNV-RP-B401; the number of anodes.

Formula
f_cm = a + b · t_f / 2 (≤ 1)I_cm = A_c · i_cm · f_cmM = I_cm · t_f · 8760 / (u · ε); N = ⌈M / m_a⌉

A simplified check on the mean current. A full DNV-RP-B401 design also covers the initial and final current and the anode resistance: the chosen number of anodes must deliver the final current too. The category I–III constants (DNV-RP-B401) are for paint coatings on structures at depths of 0–30 m; pipelines with factory coatings (3LPE, FBE) have much lower factors — see DNV-RP-F103. Onshore buried pipelines are usually protected by impressed-current stations; galvanic anodes are used on short sections, casings and tank bottoms.

Source: DNV-RP-B401 "Cathodic Protection Design"

Inputs

You can change a field's unit: the value is converted to the formula's units automatically.

A_c

For a pipe, π · D · L: 1 km of 8-5/8 in pipe is 688 m².

i_cmA/m²

Seawater, 0–30 m (DNV-RP-B401): 0.07 (tropical) to 0.12 A/m² (arctic); buried in sediment 0.02 A/m²; steel in soil roughly 0.01–0.03 A/m².

a

Bare steel: a = 1, b = 0.

b
t_f
εA·h/kg

DNV-RP-B401: Al-Zn-In 2 000 in seawater and 1 500 in sediment; zinc 780 and 700.

u

Long slender stand-off 0.90, long flush-mounted 0.85, bracelets and short flush-mounted 0.80.

m_a
Unit converter for this formulaArea · Time · Mass · Current · Fraction and percent
Metric
  • 1
  • km²1·10⁻⁶
  • ha0.0001
  • 10³ m²0.001
  • mm²1,000,000
  • cm²10,000
US field units
  • in²1,550
  • ft²10.7639
  • acre0.000247105
All units
Result
MTotal net anode mass
Fill in all fields
  • NNumber of anodes
    pcs
  • I_cmMean current demand
  • f_cmMean coating breakdown factor

More in Corrosion protection

Results are engineering estimates from standard formulas; for design decisions check them against the codes, project documents and specialists' calculations. The formulas carried over from the original set are unchanged, and their errors are described in the notes.