# Calculating the Cost of Steam

Understanding the effective price of steam at a facility is an essential part of what we do at Thermaxx Jackets. We help customers save money with insulation, and we strive to provide the most accurate estimates of proposed project savings (via our “Heat Loss” survey results) as well as true post-insulation savings calculated in real-time via our M&V (Measurement and Verification) sensors. We can calculate Therm savings using component surface area, process temperature, touch temperature of the insulation, and ambient temperature. Converting those Therm savings into dollars requires the effective price of steam- typically referred to as \$/Mlb or \$/MMBtu.

This is called the “effective” price of steam because it is the price of the energy being consumed at the component level. If a facility purchases steam directly from a district steam system, then things are simple; the price paid for that steam is the same that can be used at the component level. When steam is produced at the facility; however, we must also (at the very least) consider the energy content of the fuel(s) being burned and the combustion efficacy of the boilers producing the steam that ends up at the component.

Let’s consider an example in a facility that produces its own steam using Natural Gas that they purchase Natural Gas for \$4.00/MCF. We should first convert that to Btu, and the EPA Steam Benchmark shows that 1 MCF (1,000 Cubic Feet) of Natural Gas is the equivalent of 1,030,000 Btu (1.03 MMBtu). Then the Natural Gas gets burned in a boiler to generate steam, and some energy is lost due to combustion inefficiency – let’s use the EPA figure of 85.7% efficiency (the true efficiency will depend on the boiler in use but this is a good average). We take the 1,030,000 Btu and multiply it by 0.857 to obtain 882,710 Btu which is 0.88271 MMBtu. So, obtaining 0.88271 MMBtu of steam out of the boiler requires 1 MCF of Natural Gas which costs \$4.00. To say this in terms of \$/MMBtu requires us to take \$4 and divide by 0.88271 MMBtu which equals an effective cost of steam of \$4.53 per MMBtu.

Some steam producers are able to take things a step further by factoring in the effects of load fluctuations, electricity usage of supporting systems, personnel, heat recovery, makeup water, or any myriad of other costs and can determine a more refined, even dynamic, effective cost. We welcome such input as it will typically further improve the savings as represented in dollars.Steam prices vary around the country, ranging anywhere from about \$4 to \$40 per MMBtu. What’s yours?

## Knowing the Cost of Steam: How do you calculate your fully loaded MMBtu Costs?

For steam-using plants and facilities, calculating steam costs, like calculating steam pipe heat loss, is an important step towards revealing energy and cost savings opportunities.

The cost of steam production throughout the course of various projects is twofold: loaded and unloaded cost.  The unloaded cost takes into account only the cost of fuel necessary to produce steam with consideration towards total steam used.  Loaded cost, however, combines each and every cost associated with steam production.

### Rough Estimated Steam Costs

The below formula has been used by some[i] as a rough estimate of total steam cost:
Total Steam Cost (\$/MMBtu) = Fuel Cost (\$/MMBtu) x 130%

For boilers, we’ve found this boiler steam cost calculator (Internet Explorer compatible only).

Alternatively, unloaded steam costs are calculated in the manner specified below:

SC = (aF * (Hg _ hf) ) / (1,000 • ηB)[ii]

Where:
aF  = fuel cost in \$/Million Metric British Thermal Units (MMBtu)
Hg  = enthalpy of steam, in Btu/lb.
hf  = enthalpy of boiler feedwater in Btu/lb.
ηB = true boiler efficiency (per ASME PTC 4.1 method)
1,000 = cost measured in units of 1,000 lbs. per hour

In this simplified calculation method, the formula assumes that one boiler is being used, one fuel and a single steam pressure.

#### True Boiler Efficiency (ηB)

The ηB figure representing boiler efficiency comprises these aspects, along with their subcategories:

• fuel moisture content
• combustion air temperature
• flue gas losses
• blowdown losses

Given that one boiler is used here, only one boiler efficiency is taken into account.

#### Calculating the Enthalpy of boiler feedwater (hf)

Condensate Return may be incorporated into the calculation in conjunction with feedwater to present a clearer idea of cost, as the amount of condensate returned greatly impacts steam cost.

hf = % (GR) + %(LP) + %(MP) + %(HP) + %(MW)

Several Condensate Return Systems are used, and are categorized thusly:

1. GR: Gravity or atmospheric — condensate returned at or close to 0 psig
2. LP: Low pressure — condensate returned from 1 to 15 psig
3. MP: Medium pressure — condensate returned from 16 to 99 psig
4. HP: High pressure — condensate returned at 100+ psig
5. MW: Make-up water — water added to steam to compensate for condensate which is not returned to boiler

Necessary to adjusting the Unloaded Cost calculation is to also change the enthalpy of boiler feedwater.  Calculate it in the following manner, using whichever condensate information applies in your case.  If only a few of the above systems are used, leave the other percentages at 0.

Apply this new information to the original formula of SC = (aF * (Hg _ hf) ) / 1,000 • ηB to achieve the Unloaded Steam Cost (SC).

As indicated, Loaded Cost of Steam incorporates additional several factors.  The following costs make up the total:

• Electrical power
• Chemical
• Water and sewer
• Emission payments
• Labor (management, operations, and maintenance)
• Waste disposal
• Maintenance
• New projects

The Loaded Cost, or true cost of steam, is the sum of the above items.  The cost may at times be one and a half to two times the cost as compared to the Unloaded Cost.

### Steam System Definitions

Million Metric British Thermal Units (MMBtu): A Btu is how much heat is required to raise the temperature of 1 pound of liquid water by 1 °F.  MMBtu’s measure one million BTUs.

Enthalpy: The total heat content of a system. Internal energy + Pressure x Volume.

Fuel Moisture Content: Amount of moisture (water) in a fuel, which affects how readily it will burn.  Usually shown as a percentage of the oven-dry weight of fuel.

Radiation Losses: A number that describes the amount of heat lost from a boiler to the air through conduction, radiation and convection.

Flue Gas Losses: This gas is produced when combustion occurs in the flue.  It is lost, however, due to: high gas temperature, unfinished combustion, lack of air supply, moisture or a high rate of combustion.

Blowdown Losses: When water is removed from a boiler, it is called the “blowdown.”  Blowdown is removed to maintain the levels of suspended and dissolved solids and to remove sludge.  This is typically shown as a percentage.

Feedwater:  Water added to a boiler while it’s in use. This combines both make-up and return condensate.

Make-up Water: Water added to a boiler feed to “make up” for water lost due to blowdown, leaks, etc.

Return Condensate: When steam transfers heat, it turns into a liquid called condensate. Condensate returned to the boiler can save energy by requiring less make-up water.

### Steam Cost Resources

https://energy.gov/sites/prod/files/2014/05/f16/steam15_benchmark.pdf

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