1. Consider the following schematic of a power plant (operating in what is called a 'Rankine Cycle') 5 Turbine Steam generator Condenser Cooling water Economizer Pump The power plant control room reports that the plant is operating continuously at the following peak load conditions: а. Power to pump = 300KW b. Rate of steam flow = 25 kg/s c. Cooling water temperature at condenser inlet = 13 C d. Cooling water temperature at condenser outlet = 34 C Additionally, the following measurements were made at various points in the piping connecting the power plant components Quality enthalpy Specific Velocity (kJ/kg) Data Pressure Temp. point (kPa) (C) (x) volume (m/s) (m³/kg) 1 6200 6100 43 3 5900 177 5700 493 5500 482 6. 103 0.94 183 7 96 43

Elements Of Electromagnetics
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Please answer d, e, and f.

d. Calculate the power output from the turbine. Assume the process is adiabatic.

e. Calculate the heat transfer in the economizer and the boiler.

f. Calculate the heat loss from the pipes between points 4 and 5 in the plant.

 

## Power Plant Schematic and Data Analysis

### Rankine Cycle Power Plant

Below is a schematic diagram of a power plant operating on the Rankine Cycle.

**Diagram Explanation:**
1. **Pump (1 to 2):** Increases the pressure of the working fluid.
2. **Economizer (2 to 3):** Preheats the fluid by recovering waste heat.
3. **Steam Generator (3 to 4):** Converts water into steam.
4. **Turbine (4 to 5):** Expands steam to produce work.
5. **Condenser (5 to 6):** Converts steam back to water, releasing heat to the cooling water.
6. **Cooling Water:** Enters the condenser to absorb heat and exits at a higher temperature.

### Operation Conditions

The power plant is operating under the following peak load conditions:

- **Power to pump:** 300 kW
- **Rate of steam flow:** 25 kg/s
- **Cooling water temperature at condenser inlet:** 13°C
- **Cooling water temperature at condenser outlet:** 34°C

### Measurement Data

Measurements at various points in the power plant's piping system are recorded as follows:

| Data Point | Pressure (kPa) | Temp. (°C) | Quality (x) | Enthalpy (kJ/kg) | Specific Volume (m³/kg) | Velocity (m/s) |
|------------|----------------|------------|-------------|------------------|-------------------------|----------------|
| 1          | 6200           | -----      | -----       | -----            | -----                   | -----          |
| 2          | 6100           | 43         | -----       | -----            | -----                   | -----          |
| 3          | 5900           | 177        | -----       | -----            | -----                   | -----          |
| 4          | 5700           | 493        | -----       | -----            | -----                   | -----          |
| 5          | 5500           | 482        | -----       | -----            | -----                   | -----          |
| 6          | 103            | -----      | 0.94        | -----            | -----                   | 183            |
| 7          | 96             | 43         | -----       | -----            | -----                   | -----          |

This data is essential for understanding the thermodynamic
Transcribed Image Text:## Power Plant Schematic and Data Analysis ### Rankine Cycle Power Plant Below is a schematic diagram of a power plant operating on the Rankine Cycle. **Diagram Explanation:** 1. **Pump (1 to 2):** Increases the pressure of the working fluid. 2. **Economizer (2 to 3):** Preheats the fluid by recovering waste heat. 3. **Steam Generator (3 to 4):** Converts water into steam. 4. **Turbine (4 to 5):** Expands steam to produce work. 5. **Condenser (5 to 6):** Converts steam back to water, releasing heat to the cooling water. 6. **Cooling Water:** Enters the condenser to absorb heat and exits at a higher temperature. ### Operation Conditions The power plant is operating under the following peak load conditions: - **Power to pump:** 300 kW - **Rate of steam flow:** 25 kg/s - **Cooling water temperature at condenser inlet:** 13°C - **Cooling water temperature at condenser outlet:** 34°C ### Measurement Data Measurements at various points in the power plant's piping system are recorded as follows: | Data Point | Pressure (kPa) | Temp. (°C) | Quality (x) | Enthalpy (kJ/kg) | Specific Volume (m³/kg) | Velocity (m/s) | |------------|----------------|------------|-------------|------------------|-------------------------|----------------| | 1 | 6200 | ----- | ----- | ----- | ----- | ----- | | 2 | 6100 | 43 | ----- | ----- | ----- | ----- | | 3 | 5900 | 177 | ----- | ----- | ----- | ----- | | 4 | 5700 | 493 | ----- | ----- | ----- | ----- | | 5 | 5500 | 482 | ----- | ----- | ----- | ----- | | 6 | 103 | ----- | 0.94 | ----- | ----- | 183 | | 7 | 96 | 43 | ----- | ----- | ----- | ----- | This data is essential for understanding the thermodynamic
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