The reheat rankine cycle very efficient cycle that commonly used thermal power plants

Carnot Cycle Efficiency Homework Answers Needed

Your Question:

η_c = 1 - T_c / T_h

where:

The reheat Rankine cycle is a modified Rankine cycle that improves the efficiency of the cycle by reheating the steam before it expands in the second turbine stage. This reheating allows the steam to expand to a lower pressure before it reaches the saturation line, which reduces the amount of moisture in the steam and improves the efficiency of the cycle.

Equivalent Carnot Cycle Efficiency of the Reheat Rankine Cycle

Given:

• Low pressure = 1 MPa (10 bar)

1. Calculate the saturation temperature of water at each pressure:

   • Low pressure: 179.9 °C

where:

• Q_out is the heat rejected to the condenser

• h_1s is the enthalpy of the steam at the beginning of the expansion process in the second turbine stage

• W_2 is the work done by the second turbine stage

To calculate Q_in, we need to know the enthalpy of the steam at the beginning of the expansion process in the first turbine stage. This enthalpy can be calculated using the following equation:

h_1s = h_g

η_c = 1 - (T_c / T_h) * (1 - η_rt)

Results: