Steam Power Plant Cycle Analysis

This page presents a comprehensive problem involving a steam power plant operating on a Rankine cycle. The problem provides specific conditions for the cycle and requires the calculation of various parameters.

Given conditions:

• P₁ = P₄ = 7000 kPa
• T₁ = 550°C
• P₂ = P₃ = 20 kPa
• Turbine efficiency (ηₜ) = 0.75
• Pump efficiency (ηₚ) = 0.75
• Power output = 100,000 kW

The problem requires calculating: a. Steam rate b. Heat transfer rate in the boiler c. Heat transfer rate in the condenser d. Thermal efficiency of the plant

Example: The solution demonstrates the use of isentropic efficiencies for both the turbine and pump, showing how real processes deviate from ideal conditions.

The solution process involves:

1. Analyzing each state point in the cycle
2. Calculating actual enthalpy values using isentropic efficiencies
3. Determining the steam rate based on the given power output
4. Computing heat transfer rates and overall thermal efficiency

Highlight: This problem illustrates the application of boiler steam problems rankine cycle efficiency calculations in a complex power plant scenario.

The detailed solution provides insights into power plant boiler steam problems rankine cycle efficiency and demonstrates the use of thermodynamic tables and equations.

Thermal Efficiency Calculation of Ideal Rankine Cycle

This page presents a sample problem demonstrating the calculation of thermal efficiency for an ideal Rankine cycle. The problem involves steam leaving the boiler as superheated vapor at 6 MPa and 250°C, with the condenser pressure at 10 kPa.

The solution process involves:

1. Determining the thermodynamic properties at each state point
2. Calculating the work done by the turbine and pump
3. Computing the heat input and output
4. Applying the thermal efficiency formula

Vocabulary: Rankine cycle - A thermodynamic cycle that converts thermal energy into mechanical work, commonly used in steam power plants.

Example: The thermal efficiency calculation considers the enthalpy values at different points in the cycle, such as H₁ = 3045.8 kJ/kg at the boiler exit and H₂ = 2006.6589 kJ/kg at the turbine exit.

Highlight: The thermal efficiency of this ideal Rankine cycle is calculated to be 36.28%.

The page also includes detailed calculations for each state point, demonstrating the application of boiler efficiency formulas and thermodynamic principles.