Calculating Steam Turbine output power

In summary, using the Mollier Chart and the turbine properties, the volume flow rate of the turbine affects the cost and size of the turbine.
  • #1
Izazo
7
0
TL;DR Summary
What is the formula to calculate turbine output power, which uses the volume flow rate of turbine? (Turbine Physical dimensions are not given)
So I know the formula " W_turbine = m_flow rate * (H_in - H_out) " BUT is there any formula that utilizes the turbine volumetric flow rate (m^3/sec) at the outlet? The following data is available, I just need the formula...
P_in= 2.36 Mpa
P_out= 0.95 MPa
m_flow rate= 0.02 kg/sec
eff_turbine= 70 %
Turbine outlet volume flow rate= 2.4 m^3/sec
 
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  • #2
You'll never get there that way. The properties of steam and water are nonlinear. You need reference to them.

Can you explain what you are trying to accomplish and why you prefer volume flow as the variable? That sounds like it may be the wrong approach.
 
  • #3
anorlunda said:
You'll never get there that way. The properties of steam and water are nonlinear. You need reference to them.

Can you explain what you are trying to accomplish and why you prefer volume flow as the variable? That sounds like it may be the wrong approach.
So the main issue is that I have this research paper and that has done some thermodynamic analysis of organic Rankine cycle, and designed it for 2 KW output...I don't understand the meaning of "designed it for 2 KW output", because using the input and output data of turbine from the research paper and using formula "W_turbine = m_flow rate * (H_in - H_out) " the answer is very low.
So, I thought that volume flow rate defines the cost and size of the turbine, so they might have used another formula that utilizes volume flow rate of the turbine...
I
 
  • #4
In general, the most efficient turbines use the highest possible pressures and temperatures. That minimized operating costs. But it might raise capital costs.

Most likely, they had 2 KW as a requirement. There may be constraints on the pressure and temperature of available fluids.

The place to start is the Mollier Chart for the organic fluid.

https://en.wikipedia.org/wiki/Enthalpy–entropy_chart
But if you want only an order of magnitude estimate, W_turbine = m_flow rate * (H_in - H_out) is a simple energy balance. That might be the best you can do without many days of work to learn about turbine design.
 

1. How is the output power of a steam turbine calculated?

The output power of a steam turbine is calculated by multiplying the mass flow rate of steam (in kg/s) by the enthalpy drop of the steam (in kJ/kg) and the turbine efficiency (in decimal form). This is known as the basic power equation: P = m * (h1 - h2) * η, where P is the power output, m is the mass flow rate, h1 is the steam enthalpy at the inlet, h2 is the steam enthalpy at the outlet, and η is the turbine efficiency.

2. What factors affect the output power of a steam turbine?

The output power of a steam turbine is affected by several factors, including the mass flow rate of steam, the temperature and pressure of the steam, the design and efficiency of the turbine, and any losses due to friction or leakage within the turbine. Additionally, the type and quality of the steam, as well as the size and condition of the turbine, can also impact the output power.

3. How does the steam quality affect the output power of a steam turbine?

The steam quality, or the amount of moisture in the steam, can significantly impact the output power of a steam turbine. Wet or low-quality steam can cause erosion, corrosion, and other damage to the turbine blades, which can decrease the efficiency and output power of the turbine. It is important to ensure that the steam entering the turbine is of high quality to maximize its output power.

4. What is the difference between the gross and net power output of a steam turbine?

The gross power output of a steam turbine is the total amount of power produced by the turbine, including any power used to drive auxiliary equipment such as pumps or fans. The net power output, on the other hand, is the power available for external use after deducting the power used by auxiliary equipment. The net power output is a more accurate representation of the actual power available for use.

5. How can the output power of a steam turbine be increased?

The output power of a steam turbine can be increased by improving the efficiency of the turbine, increasing the steam pressure and temperature, and reducing losses due to friction and leakage. Regular maintenance and repairs to the turbine can also help to improve its performance and output power. Additionally, using higher quality steam and ensuring proper steam conditioning can also increase the output power of a steam turbine.

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