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Combustion Excess Air from O₂ Calculator

Find the excess combustion air and the air ratio (lambda) from the dry flue gas oxygen reading, or the oxygen setpoint for a target excess air, for burner tuning and O₂ trim control.

Excess airLambdaFlue gas O₂O₂ trim
% O₂
Excess air16.76 %
Air ratio lambda λ1.1676
Total air116.8 % of stoichiometric
How this result was calculated
  1. EA = O₂ ÷ (20.9 − O₂) × 100 = 3 ÷ 17.9 × 100 = 16.76 %
  2. λ = 1 + EA ÷ 100
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Excess Air Formula

Excess air (%) = O₂ ÷ (20.9 − O₂) × 100
λ = 1 + excess air ÷ 100
O₂ for target = 20.9 × EA ÷ (100 + EA)

O₂ is the oxygen in dry flue gas in %. This widely used approximation assumes complete combustion and is accurate for most hydrocarbon fuels; exact values depend slightly on fuel composition (the CO₂ and water formed).

Worked example

A dry flue gas O₂ of 3 % means about 16.8 % excess air (λ ≈ 1.17). To run at 15 % excess air, set the O₂ trim to about 2.7 %.

Key insight: each 1 % of extra O₂ in flue gas costs roughly half a percent of boiler efficiency on gas firing. O₂ trim with a zirconia analyzer pays back quickly on large boilers.
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Frequently Asked Questions

What is excess air?

Air supplied above the theoretical (stoichiometric) amount needed to burn the fuel, given as a percentage.

Why not run at zero excess air?

Mixing is never perfect, so some excess air is needed to avoid CO, soot and unburned fuel.

Wet or dry O₂?

The formula uses dry O₂, as measured by extractive analyzers. In situ zirconia probes read wet O₂, which is a little lower.

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