LM6000 Gas Turbine Outputs/Inputs

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Discussion Overview

The discussion revolves around the efficiencies of a Combined Heat and Power (CHP) aero-derivative gas turbine, specifically the LM6000 model. Participants explore calculations related to power output, heat rate, and efficiency metrics, while addressing misunderstandings regarding units and efficiency equations.

Discussion Character

  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant presents initial calculations for energy input and output based on power and heat rate, questioning the electrical efficiency of 39% for a CHP system.
  • Another participant suggests that the efficiency equation may have been misapplied, indicating that the heat rate should be understood in terms of fuel input per unit of electrical output.
  • A participant expresses confusion regarding the units of measurement, noting the need to clarify the relationship between energy and power in the context of their calculations.
  • It is mentioned that to determine overall efficiency, one must also consider the heat recovery aspect of the CHP system.

Areas of Agreement / Disagreement

Participants exhibit some disagreement regarding the interpretation of efficiency metrics and the correct application of formulas. There is no consensus on the calculations or the implications of the efficiency figures presented.

Contextual Notes

Participants acknowledge potential misunderstandings related to unit conversions and the definitions of energy versus power. There are unresolved aspects regarding the overall efficiency calculations and the specific contributions of heat recovery in the CHP system.

Who May Find This Useful

This discussion may be of interest to individuals researching gas turbine efficiencies, CHP systems, or those seeking clarification on energy conversion metrics in engineering contexts.

kyles
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I am doing research and was curioius as to how I would obtain useful numbers for efficiencies from the following information, concerning a CHP aero derivative turbine,

Power KW = 43822
Heat Rate LHV KJ/kWH = 8980

From this, can I say that if I ran the machine for an hour I would use 43,882KWH and receive 109311.54KWH of heat out put [ from, (8980kj/kwh x 43822kwh)*1000/(3.6MJ)) = 109311.54KWH ]

However, when I use the table for running at full load, the electrical efficiency of the machine is 39%. I considered that this may be total efficiency but 39% for a CHP seems way too small, should be closer to 60-70 right?

Which means that I put in 43822KWH/.39 = 112364.1KWH but got out 109311+43882=153193KWH.

As I am sure that this is not an over-unity machine, can anyone show me where I am going wrong?
 
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It's a generator: kJ/kWh is how much heat you need to input for every kWh you get in output. You've got the efficiency equation upside-down!
 
Hm, why aren't both units in energy then, one's in power. I realized I wasn't de-rating the heat output so I think that's where I was going wrong. I guess what I'm trying to find out is the following,

"If I was a unit of fuel going into the generator how many units of energy would I make, how much heat would I make and how much waste would I make."

I apologize for my inexperience, I am very unfamiliar with CHP machines.
 
A kWh is an energy unit, not power.

kJ/kWh is the normal way to express fuel consumption for an engine fuelled by gas. Convert to kJ/kWs (divide by 3600), take the reciprocal, and that is your efficiency.

For overall efficiency, you also need to consider the amount of heat you are recovering through your CHP system.
 

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