KEVOS® MAKEOS · Engineering

Cogeneration (CHP) Utilisation and Primary Energy Saving Check

For a combined heat and power plant with this fuel input, electrical output and useful heat, what is its utilisation factor and power-to-heat ratio, how much fuel would separate power and heat production use, and does it save the share of primary energy you require?

Energy performance of a combined heat and power (CHP) plant: electrical and heat efficiencies, utilisation factor, power-to-heat ratio, and the fuel that separate production would need at your reference efficiencies, giving the fuel saved and the primary energy saving against your target.

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How this tool works

Inputs, units and where to find them

InputUnitTypical source
Fuel energy input ratekWFuel energy supplied to the CHP unit per unit time, from the gas meter and the gas heating value (state whether higher or lower heating value).
Net electrical outputkWNet electrical output after the unit’s own auxiliaries, from the maker’s data or the export meter.
Useful heat delivered to the process or buildingskWHeat actually used on site from the unit: hot water, steam or absorption chilling; not heat dumped to a radiator.
Reference separate production
Reference efficiency of separate power generation%Efficiency of the electricity the CHP displaces (grid or on-site generation), on the same heating-value basis as the fuel input.
Reference efficiency of separate heat production (boiler)%Efficiency of the boiler whose heat the CHP displaces, on the same heating-value basis.
Target and hours
Primary energy saving required%Primary energy saving the project must achieve, from your business case or a funding scheme.
Running hours per yearh/yearHours a year the unit runs at this load.

What each input means

Open an input to see what it is, its units, the worked example and the common mistakes, with a small diagram.

What this means: Fuel energy input rate
Illustration: Fuel energy input rateA motor driving a shaft; Fuel energy input rate is the rate at which it does work, energy per second.Q_fExample: 2500 kWFuel energy input rate
What it is
The rate of fuel energy supplied to the CHP unit: fuel flow multiplied by its heating value.
Units and format
Enter a number in kW: kilowatts. The form accepts 1 kW to 10000000 kW. Required: the tool does not calculate until every input is valid.
Example
The form opens with 2500 kW as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
More fuel for the same outputs lowers the utilisation factor and the primary energy saving.
Get it right
State the basis: natural gas on the lower heating value is about a tenth below the higher value.
What this means: Net electrical output
Illustration: Net electrical outputA motor driving a shaft; Net electrical output is the rate at which it does work, energy per second.WExample: 900 kWNet electrical output
What it is
The net electrical output of the CHP unit after its own auxiliaries such as pumps, fans and controls.
Units and format
Enter a number in kW: kilowatts. The form accepts 0 kW to 10000000 kW. Required: the tool does not calculate until every input is valid.
Example
The form opens with 900 kW as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
More electricity raises the separate-production fuel strongly and so the saving.
Get it right
Use the output at the load point you are assessing, not the nameplate rating if the unit runs part-loaded.
What this means: Useful heat delivered to the process or buildin…
Illustration: Useful heat delivered to the process or buildingsA motor driving a shaft; Useful heat delivered to the process or buildings is the rate at which it does work, energy per second.Q_hExample: 1100 kWUseful heat delivered to the process or build…
What it is
The heat from the CHP unit that the site actually uses in place of boiler heat: hot water, steam or heat to an absorption chiller.
Units and format
Enter a number in kW: kilowatts. The form accepts 0 kW to 10000000 kW. Required: the tool does not calculate until every input is valid.
Example
The form opens with 1100 kW as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
More used heat raises the utilisation factor and the saving.
Get it right
Do not count heat rejected through a dump radiator or used to keep plant warm unnecessarily.

Reference separate production

What this means: Reference efficiency of separate power generati…
Illustration: Reference efficiency of separate power generationInput on the left and useful output on the right with the loss split off; Reference efficiency of separate power generation is output divided by input.inputuseful outputlossη_EExample: 40%Reference efficiency of separate power genera…
What it is
The efficiency of the power generation that the CHP electricity displaces, used to work out the fuel separate production would burn.
Units and format
Enter a number in %: percent: the number is read as a percentage, so type 8 for 8 %. The form accepts 5% to 100%. Required: the tool does not calculate until every input is valid.
Example
The form opens with 40% as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
A lower reference efficiency makes the CHP saving look larger.
Get it right
Use the same heating-value basis as the fuel input; your energy adviser or a published reference value can give it.
What this means: Reference efficiency of separate heat productio…
Illustration: Reference efficiency of separate heat production (boiler)Input on the left and useful output on the right with the loss split off; Reference efficiency of separate heat production (boiler) is output divided by input.inputuseful outputlossη_HExample: 85%Reference efficiency of separate heat product…
What it is
The efficiency of the boiler that the CHP heat displaces, used to work out the fuel separate heat production would burn.
Units and format
Enter a number in %: percent: the number is read as a percentage, so type 8 for 8 %. The form accepts 5% to 110%. Required: the tool does not calculate until every input is valid.
Example
The form opens with 85% as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
A lower reference efficiency makes the CHP saving look larger.
Get it right
Use the existing boiler’s seasonal efficiency if CHP heat would replace it.

Target and hours

What this means: Primary energy saving required
Illustration: Primary energy saving requiredA bar of 100 parts with the share marked; Primary energy saving required is that share out of 100. The bar follows the value you type.0 %100 %PESExample: 10%Primary energy saving required
What it is
The primary energy saving, as a share of the fuel separate production would use, that the project must reach.
Units and format
Enter a number in %: percent: the number is read as a percentage, so type 8 for 8 %. The form accepts 0% to 100%. Required: the tool does not calculate until every input is valid.
Example
The form opens with 10% as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Only moves the pass or fail line.
Get it right
Set it from your business case; schemes that define high-efficiency CHP set their own thresholds.
What this means: Running hours per year
Illustration: Running hours per yearA timeline from a start mark to an end mark; Running hours per year is the time between them.startendtExample: 6000 h/yearRunning hours per year
What it is
The number of hours a year the unit runs at this load point, used to turn power into yearly energy.
Units and format
Enter a number in h/year: h/year. The form accepts 0 h/year to 8784 h/year. Required: the tool does not calculate until every input is valid.
Example
The form opens with 6000 h/year as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Yearly fuel used and saved rise in proportion; the percentages do not change.
Get it right
Count only hours when the heat is also used; running for electricity alone changes the saving.

Method and formulas

  1. Electrical efficiency η_e = W ÷ Q_fuel; heat efficiency η_h = Q_heat ÷ Q_fuel; utilisation factor = (W + Q_heat) ÷ Q_fuel.
  2. Fuel for separate production F_sep = W ÷ η_E,ref + Q_heat ÷ η_H,ref.
  3. Fuel saved = F_sep − Q_fuel; primary energy saving PES = 1 − Q_fuel ÷ F_sep.
  4. Example: 2,500 kW of fuel giving 900 kW of electricity and 1,100 kW of used heat has a utilisation factor of 80 % and saves 29.46 % of primary energy against 40 % power and 85 % boiler references, above a 10 % target.

Limitations

  • One steady load point; real CHP savings depend on how many hours the heat is actually needed, which this point cannot show.
  • All efficiencies must use the same heating-value basis (higher or lower); mixing bases moves the result by about 10 % for natural gas.
  • Energy only: costs, tariffs, maintenance and emissions factors are not included, so a saving does not by itself make a business case.
  • Example values are illustrations. Replace them with values for your actual site and unit.

Typical uses

  • Screen a gas-engine or turbine CHP proposal for a factory, hospital or campus
  • Check a supplier’s claimed savings against your own reference efficiencies
  • Show how much of the saving depends on actually using the recovered heat

Who it is for

  • Energy engineers and managers
  • Facility and plant managers
  • Engineering consultants

What you get

  • Primary energy saving and fuel saved
  • Utilisation factor, electrical and heat efficiencies
  • Power-to-heat ratio
  • Yearly fuel used and saved

Interpreting the result

  • A high utilisation factor with a low primary energy saving usually means the heat is credited but cheap to make in a boiler; the electricity is where CHP earns its saving.
  • If the heat is not used, CHP is just an inefficient power station: check the heat demand profile first.

Before relying on the result

  • Check the site’s heat demand by hour and season against the unit’s heat output before relying on the yearly figures.

References

  • Çengel Y. A. and Boles M. A., Thermodynamics: An Engineering Approach, 5th edition (McGraw-Hill, 2006), chapter 10 (section 10-8: cogeneration and the utilisation factor). Method reference; no tables, figures or examples are reproduced.
  • Directive 2012/27/EU on energy efficiency, Annex II: calculation of primary energy savings for high-efficiency cogeneration (method only; its reference values are not reproduced, enter your own).

Learn the Concepts Behind This Tool

These KEVOS® Library readings explain the method this tool uses, with worked examples.

KEVOS® tools are screening and decision-support utilities. Verify important financial, engineering, safety, legal or operational decisions using appropriate professional standards and your organisation’s approved data.

Open the Cogeneration (CHP) Utilisation and Primary Energy Saving Check calculator