An ideal cogeneration steam plant is to generate power and 9400 kJ/s of process heat. Steam enters the turbine from the boller at 7 MPa and 500°C. One-fourth of the steam is extracted from the turbine at 600 kPa pressure for process heating. The remainder of the steam continues to expand and exhausts to the condenser at 10 kPa. The steam extracted for the process heater is condensed in the heater and mixed with the feedwater at 600 kPa. The mixture is pumped to the boiler pressure of 7 MPa.

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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**Cogeneration Steam Plant Description**

An ideal cogeneration steam plant operates to generate power and delivers process heat at a rate of 9400 kJ/s. The system's operational process starts with steam entering the turbine from the boiler at a pressure of 7 MPa and a temperature of 500°C. During the process, one-fourth of the steam is extracted from the turbine at 600 kPa pressure for purposes of process heating. The remaining steam continues its expansion, subsequently exhausting into the condenser at a pressure of 10 kPa. The steam extracted for process heat is condensed in the process heater and then mixed with the feedwater at 600 kPa. This mixture is then pumped back to the boiler pressure level of 7 MPa.

**Diagram Explanation**

The diagram illustrates the flow of the steam cycle in the cogeneration plant. 

1. **Condenser (1 → 2):**  
   The steam exits and flows into the condenser at low pressure (10 kPa), where it loses heat and condenses into a liquid.

2. **Pump I (2 → 3):**  
   The condensed liquid is pumped from low pressure to the higher process heater pressure (600 kPa).

3. **Process Heater (3 → 4):**  
   Some of the fluid is heated using the extracted steam for process heating needs.

4. **Pump II (4 → 5):**  
   The heated liquid is pumped to the boiler pressure (7 MPa).

5. **Boiler (5 → 6):**  
   The feedwater is heated further and converted into steam at the boiler's conditions (7 MPa, 500°C).

6. **Turbine (6 → 7 & 6 → 8):**  
   Steam expands through the turbine, generating power. A portion of the steam is extracted at 600 kPa for process heating.

7. **Return to Condenser (8 → 1):**  
   The remaining steam after energy extraction is passed into the condenser to complete the cycle.

This diagram is essential for understanding the flow and transformation of energy within the system, showing the distinct pressure levels and paths for both power generation and process heating in a cogeneration application.

To visualize this cycle effectively, it should be represented on a Temperature-Entropy (T-s) diagram, highlighting the path of the steam with respect to saturation lines.
Transcribed Image Text:**Cogeneration Steam Plant Description** An ideal cogeneration steam plant operates to generate power and delivers process heat at a rate of 9400 kJ/s. The system's operational process starts with steam entering the turbine from the boiler at a pressure of 7 MPa and a temperature of 500°C. During the process, one-fourth of the steam is extracted from the turbine at 600 kPa pressure for purposes of process heating. The remaining steam continues its expansion, subsequently exhausting into the condenser at a pressure of 10 kPa. The steam extracted for process heat is condensed in the process heater and then mixed with the feedwater at 600 kPa. This mixture is then pumped back to the boiler pressure level of 7 MPa. **Diagram Explanation** The diagram illustrates the flow of the steam cycle in the cogeneration plant. 1. **Condenser (1 → 2):** The steam exits and flows into the condenser at low pressure (10 kPa), where it loses heat and condenses into a liquid. 2. **Pump I (2 → 3):** The condensed liquid is pumped from low pressure to the higher process heater pressure (600 kPa). 3. **Process Heater (3 → 4):** Some of the fluid is heated using the extracted steam for process heating needs. 4. **Pump II (4 → 5):** The heated liquid is pumped to the boiler pressure (7 MPa). 5. **Boiler (5 → 6):** The feedwater is heated further and converted into steam at the boiler's conditions (7 MPa, 500°C). 6. **Turbine (6 → 7 & 6 → 8):** Steam expands through the turbine, generating power. A portion of the steam is extracted at 600 kPa for process heating. 7. **Return to Condenser (8 → 1):** The remaining steam after energy extraction is passed into the condenser to complete the cycle. This diagram is essential for understanding the flow and transformation of energy within the system, showing the distinct pressure levels and paths for both power generation and process heating in a cogeneration application. To visualize this cycle effectively, it should be represented on a Temperature-Entropy (T-s) diagram, highlighting the path of the steam with respect to saturation lines.
Expert Solution
Step 1: Introduction

The TS diagram shows the variation of temperature and entropy at each point with respect to the dome region. 

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