How does the pressure ratio affect the efficiency of a gas turbine?

In summary: The document details how the efficiency of a turbine can be calculated when the Brayton cycle is employed. The efficiency of all gas turbines is not determined by the Brayton cycle. The Brayton cycle is only employed when it is necessary to increase the efficiency of the turbine. Increasing the inlet temperature to the maximum possible that the blade materials can safely operate at is one way to increase the efficiency of a turbine.
  • #1
Sunfire
221
4
Hello,

In http://www.aerostudents.com/files/gasTurbines/gasTurbinesFullVersion.pdf it is shown that the efficiency of a gas turbine is determined by the Brayton cycle and it depends on the pressure ratio ε.

ε is the compression ratio before fossil fuel burning invests further energy into the gas.

I want to be sure that my thinking is correct -

If I build a reservoir and perform a very high compression (high ε), efficiency will be high ONLY if the high-pressure gas is supplied to the turbine, which will now be extracting work from the high pressure gas, correct?

But if I am to build a reservoir and perform a very high compression (high ε), but use a pressure regulator to drop the gas pressure before the gas enters the turbine, the efficiency should drop, correct?

It seems to me that the high ε and high efficiency has to do with the area inside the Brayton cycle curve, e.g. high pressure drops utilize better the internal energy of the supplies gas, correct?
 
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  • #2
Sunfire said:
Hello,

In http://www.aerostudents.com/files/gasTurbines/gasTurbinesFullVersion.pdf it is shown that the efficiency of a gas turbine is determined by the Brayton cycle and it depends on the pressure ratio ε.

The document details how the efficiency of a turbine can be calculated when the Brayton cycle is employed. The efficiency of all gas turbines is not determined by the Brayton cycle.

Engineering very high pressure components is not practical and leads to thick walled vessels, very expensive turbine casings, very expensive pumps, etc ... The other ways to increase the Brayton cycle efficiency is to increase the turbine inlet temperature to the maximum possible that the blade materials can safely operate at. Adding a regenerator and using intercooling between the compressor stages and reheating between the turbine stages can also increase the cycle efficiency.

The second law must be considered because the cycle is only internally reversible. External irreversibility has to be considered.
 
  • #3
CFDFEAGURU said:
The other ways to increase the Brayton cycle efficiency is to increase the turbine inlet temperature

Could you elaborate on this point? Thank you for your reply.
 

What is the Brayton cycle efficiency?

The Brayton cycle efficiency is a measure of how effectively a gas turbine engine converts thermal energy into mechanical work. It is expressed as a percentage and is calculated by dividing the net work output by the heat input.

How is the Brayton cycle efficiency improved?

The Brayton cycle efficiency can be improved by increasing the turbine inlet temperature, increasing the compressor pressure ratio, and decreasing the pressure drop across the combustion chamber. Other factors that can affect efficiency include the design of the compressor and turbine blades, as well as the use of advanced materials.

What is a practical range for Brayton cycle efficiency?

The practical range for Brayton cycle efficiency is typically between 30-40%, with the most efficient gas turbine engines achieving efficiencies of around 50%. However, there are some advanced designs that have reached efficiencies of up to 60%.

What factors can affect the Brayton cycle efficiency?

Several factors can affect the Brayton cycle efficiency, including temperature and pressure levels, compressor and turbine design, and the type of fuel used. In addition, environmental conditions such as air temperature and humidity can also impact efficiency.

How does the Brayton cycle compare to other thermodynamic cycles?

The Brayton cycle is more efficient than other thermodynamic cycles such as the Otto cycle (used in gasoline engines) and the Rankine cycle (used in steam turbines). However, it is less efficient than the Carnot cycle, which represents the theoretical maximum efficiency for a heat engine.

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