Module 12 · Efficiency and Audits4 min read

The Cost of Steam: Per Tonne, Per Fuel, Per Leak

Every improvement on a steam system is worth exactly what the steam it saves would have cost. Knowing the cost of a tonne of steam turns a leak, a failed trap or a bare pipe into a number a manager can act on.

ByShikhar Singh·Steam Consultant & IT Consultant·Published

You'll learn

  • Calculate fuel cost per tonne of steam
  • Compare fuels on the same duty
  • Know what else belongs in the full cost
  • Price a steam leak

Before this: Heat balance and boiler efficiency, GCV vs NCV

BeginnerThe idea in plain words, and where you meet it. No maths.

From fuel price to steam price

Fuel cost per tonne of steam
C=1000(hg−hf)η×GCV×price
Symbols in the formula
SymbolMeaningUnit
hg−hfEnthalpy rise, steam minus feedwaterkcal/kg
ηBoiler efficiency on GCVfraction
GCVGross calorific valuekcal/kg
priceFuel price₹/kg

The fraction is the fuel needed per tonne of steam; multiply by its price. Raise the feedwater temperature or the efficiency and the fuel falls; raise the pressure and it rises a little.

IntermediateThe formula, its units, and a worked example on real plant numbers.

Comparing fuels on one duty

Fuel cost of steam for 5,000 kg/h at 10.54 kg/cm²(g), feedwater 80 °C
FuelFuel per hourSteam per unit fuel₹ per tonne of steam
Rice husk1,234 kg4.11,110
Indian steam coal891 kg5.61,158
Biomass briquette986 kg5.11,478
Natural gas (PNG)361 SCM13.92,741
Furnace oil335 kg14.92,813

Prices, calorific values and efficiencies are indicative figures from the steam cost calculator’s fuel table, not quotations. Replace them with your own.

Fuel is most of the cost, but not all of it. A full figure adds treated make-up water and chemicals, electricity for fans and pumps, labor, maintenance, ash disposal and the boiler’s capital cost spread over its life. Fuel-only is still the right figure for pricing savings, because those other costs barely move when a leak is fixed.

ExpertThe fine print: where the simple model breaks, and what it costs.

Pricing a loss

Worked example
A 3 mm leak at 7 kg/cm²(g)
Given
  • A 3 mm hole in a 7 kg/cm²(g) line, 7,200 h/year, coal-fired steam at ₹1.16/kg.
  1. Napier’s approximation for choked flow: 0.61 × hole area (mm²) × absolute pressure (bar) = 34.0 kg/h.
  2. Per year: 34.0 × 7,200 = 244.6 t.
Answer: About ₹2,83,150 a year, from one hole the size of a pencil lead.

Key takeaways

  • Fuel cost per tonne of steam = fuel per tonne × price; fuel per tonne = enthalpy rise ÷ (efficiency × GCV).
  • Compare fuels on the same duty, with each fuel’s own efficiency.
  • Price savings at the marginal cost — mainly fuel, water and chemicals.
  • Small leaks cost lakhs a year; put a number on them.

Check your understanding

Questions run from beginner to expert. Try each before opening the answer.

  1. Beginner

    Q1. Raising boiler efficiency does what to the fuel cost of steam?

    1. A.Raises it
    2. B.Lowers it
    3. C.No effect
    4. D.Depends on pressure only
    Show answer

    B. Less fuel per tonne.

  2. Intermediate

    Q2. Why compare fuels with each fuel’s own efficiency?

    1. A.Tradition
    2. B.Boilers burn different fuels at different efficiencies
    3. C.Efficiency is fixed
    4. D.It is required by law
    Show answer

    B. Wet biomass, for example, burns less efficiently than gas.

  3. Intermediate

    Q3. Which cost should be used to value a steam saving?

    1. A.Full average including capital
    2. B.Marginal: mainly fuel, water and chemicals
    3. C.Electricity only
    4. D.Labor only
    Show answer

    B. Fixed costs do not fall when a leak is fixed.

  4. Expert

    Q4. Leak rate through a hole rises with:

    1. A.Hole area and absolute pressure
    2. B.Pipe length
    3. C.Ambient temperature
    4. D.Insulation thickness
    Show answer

    A. Choked flow scales with area and upstream absolute pressure.

Frequently asked

How do you calculate the cost of steam per tonne?
Fuel needed per tonne of steam is 1,000 × (h_g − h_f) ÷ (efficiency × GCV). Multiply by the fuel price. Add water, chemicals and power for a fuller figure.
How much does a steam leak cost?
Estimate the leak with Napier’s approximation — 0.61 × hole area in mm² × absolute pressure in bar gives kg/h — then multiply by operating hours and the cost of steam per kg.

Related equipment

Training a boiler team?

These lessons follow the order we train operators in. We also run on-site operator and maintenance training, built around your own plant.

Boiler operator training →

Sources

  • Bureau of Energy Efficiency, Guide Book 2: Energy Efficiency in Thermal Utilities — Boiler efficiency and steam cost.
  • GyanTosh steam cost calculator — fuel table — Indicative fuel prices, calorific values and efficiencies, each with its stated source and confidence.

About the author

Shikhar SinghSteam Consultant & IT Consultant

Shikhar Singh is a Steam Consultant and IT Consultant at GyanTosh Fabricators Pvt. Ltd., where he works on steam system sizing, condensate recovery and the engineering content published on this site.

Full profile and background →