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Why is the combined gas-steam cycle more efficient than either of the cycles operated alone?

Short Answer

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Answer: The combined gas-steam cycle is more efficient than either of the cycles operated alone because it leverages the advantages of both cycles, maximizes energy utilization, and minimizes losses, resulting in lower fuel consumption and reduced environmental impacts. The waste heat from the gas cycle is captured and used to generate steam for the steam cycle, reducing the overall amount of heat energy required from the primary source and enhancing efficiency.

Step by step solution

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1. Introduction to the Gas-steam Cycle

The combined gas-steam cycle is a method used to improve the efficiency of power plants by utilizing the thermal energy from both a gas turbine and a steam turbine. This combined cycle not only enhances the overall efficiency but also reduces the fuel consumption and the overall environmental impact of the power generation process.
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2. Understanding the efficiencies of Gas Cycle and Steam Cycle operated alone

When operated separately, gas and steam cycles have their limitations in terms of efficiency. The gas cycle, which operates based on the Brayton cycle, is limited by the temperature at the turbine inlet. The efficiency of the gas cycle can be improved by increasing the turbine inlet temperature, but this is limited due to material constraints. On the other hand, the steam cycle, which operates based on the Rankine cycle, is limited by the maximum temperature at the boiler and the condenser's minimum temperature. Additionally, the efficiency of the steam cycle suffers due to energy loss during phase changes, particularly when the steam is condensed back to water.
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3. The concept of Combined Gas-steam Cycle

The combined gas-steam cycle involves utilizing the waste heat from a gas turbine cycle to generate steam, which will then be fed to a steam turbine cycle. By capturing the waste heat from the gas cycle and diverting it towards generating steam for the steam cycle, the overall efficiency of the power generation process is greatly improved. In addition, this combined cycle reduces fuel consumption and emissions.
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4. Increased Efficiency in Combined Cycle Power Plant

The combined gas-steam cycle allows for higher overall efficiency by minimizing losses and maximizing energy utilization. As the waste heat from the gas cycle is captured and redirected toward the steam cycle, the need for additional heat energy to generate steam is reduced. This results in an overall decrease in the amount of heat energy required from the primary source (e.g., fossil fuels) and a reduction in fuel consumption. The higher the efficiency of the combined cycle, the lower the overall cost of electricity generation and the lower the environmental impact of the process. In conclusion, the combined gas-steam cycle is more efficient than either of the cycles operated alone because it leverages the advantages of both cycles, maximizes energy utilization, and minimizes losses, resulting in lower fuel consumption and reduced environmental impacts.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Brayton Cycle
The Brayton cycle is the fundamental process behind gas turbines, which are pivotal in power generation and aircraft engines. At its core, the Brayton cycle describes the conversion of potential energy in fuel into mechanical work through compression, combustion, and expansion phases.

It begins with air being drawn into the system and compressed, which raises its pressure and temperature. The high-pressure air then enters a combustion chamber where it is mixed with fuel. The mixture ignites, increasing the temperature further, and thus the thermal energy of the gases. Finally, this high-energy gas expands through a turbine, performing work.

The crucial factor in Brayton cycle efficiency is the temperature at the turbine inlet. The higher the inlet temperature, the more work the cycle can theoretically produce. However, material limitations prevent indefinitely high temperatures, placing a ceiling on the efficiency achievable solely through the Brayton cycle.
Rankine Cycle
In contrast to the Brayton cycle, the Rankine cycle is the foundation of steam turbine power generation. Here, the conversion of heat energy into mechanical work is performed in a different manner, using water as the working fluid in a closed loop.

The process involves four key steps: the heating of water in a boiler to create steam, the expansion of the steam through a turbine where work is generated, condensation of the steam into water in a condenser, and finally, the pump which sends the water back into the boiler, completing the cycle.

The efficiency of the Rankine cycle is constrained by the boiler's maximum temperature and the condenser's minimum temperature. Another drawback is the energy loss during the phase transitions of water, particularly when condensing steam back to water, which limits the thermal efficiency of cycles based solely on the Rankine principle.
Power Plant Thermal Efficiency
Power plant thermal efficiency is the ratio of the useful electricity generated to the energy content of the fuel consumed. This metric is essential for evaluating how well a power plant converts fuel into electric energy.

Thermal efficiency is pivotal for economic and environmental reasons. Improving efficiency can significantly reduce fuel costs and decrease greenhouse gas emissions per unit of electricity produced. The efficiency of conventional steam-turbine power plants is typically around 35%, while advanced combined gas-steam cycle power plants can achieve efficiencies of more than 60%.

The combined cycle effectively leverages the strengths of both the Brayton and Rankine cycles to increase overall plant efficiency. By capturing and reusing waste heat from the gas turbine (Brayton cycle) in the steam turbine (Rankine cycle), more work is extracted per unit of fuel, making the process more cost-effective and environmentally friendly.
Energy Utilization in Power Generation
Energy utilization in power generation refers to how effectively a power plant converts the energy from its fuel source into electrical power. The two cycles, Brayton and Rankine, when combined, exemplify innovation in enhancing energy utilization.

By pairing these cycles, the combined gas-steam cycle taps into the thermal energy normally wasted in a single cycle, refining the energy conversion process. This utilization improves overall efficiency, meaning more electricity is produced per measure of fuel, thereby optimizing the use of resources and reducing waste.

The effective use of energy not only leads to economic savings but also benefits the environment by reducing the quantity of fuel needed and accordingly, the emissions associated with power generation. Optimized energy utilization is hence a key factor in advancing the sustainability of the energy sector.

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Most popular questions from this chapter

Consider a simple ideal Rankine cycle with fixed boiler and condenser pressures. What is the effect of superheating the steam to a higher temperature on

Consider a combined gas-steam power plant that has a net power output of \(450 \mathrm{MW}\). The pressure ratio of the gas-turbine cycle is \(14 .\) Air enters the compressor at \(300 \mathrm{K}\) and the turbine at \(1400 \mathrm{K}\). The combustion gases leaving the gas turbine are used to heat the steam at \(8 \mathrm{MPa}\) to \(400^{\circ} \mathrm{C}\) in a heat exchanger. The combustion gases leave the heat exchanger at \(460 \mathrm{K}\). An open feedwater heater incorporated with the steam cycle operates at a pressure of 0.6 MPa. The condenser pressure is 20 kPa. Assuming all the compression and expansion processes to be isentropic, determine ( \(a\) ) the mass flow rate ration of air to steam, ( \(b\) ) the required rate of heat input in the combustion chamber, and ( \(c\) ) thermal efficiency of the combined cycle.

Steam enters the turbine of a steam power plant that operates on a simple ideal Rankine cycle at a pressure of \(6 \mathrm{MPa},\) and it leaves as a saturated vapor at \(7.5 \mathrm{kPa}\). Heat is transferred to the steam in the boiler at a rate of \(40,000 \mathrm{kJ} / \mathrm{s}\) Steam is cooled in the condenser by the cooling water from a nearby river, which enters the condenser at \(15^{\circ} \mathrm{C}\). Show the cycle on a \(T-s\) diagram with respect to saturation lines, and determine \((a)\) the turbine inlet temperature, \((b)\) the net power output and thermal efficiency, and \((c)\) the minimum mass flow rate of the cooling water required.

Show that the thermal efficiency of a combined gas-steam power plant \(\eta_{\mathrm{cc}}\) can be expressed as $$\eta_{\mathrm{cc}}=\eta_{g}+\eta_{s}-\eta_{g} \eta_{s}$$ where \(\eta_{g}=W_{g} / Q_{\text {in }}\) and \(\eta_{s}=W_{s} / Q_{g, \text { out }}\) are the thermal efficiencies of the gas and steam cycles, respectively. Using this relation, determine the thermal efficiency of a combined power cycle that consists of a topping gas-turbine cycle with an efficiency of 40 percent and a bottoming steam-turbine cycle with an efficiency of 30 percent.

Consider a steam power plant that operates on a reheat Rankine cycle and has a net power output of \(80 \mathrm{MW}\) Steam enters the high-pressure turbine at \(10 \mathrm{MPa}\) and \(500^{\circ} \mathrm{C}\) and the low-pressure turbine at \(1 \mathrm{MPa}\) and \(500^{\circ} \mathrm{C}\). Steam leaves the condenser as a saturated liquid at a pressure of \(10 \mathrm{kPa} .\) The isentropic efficiency of the turbine is 80 percent, and that of the pump is 95 percent. Show the cycle on a \(T-s\) diagram with respect to saturation lines, and determine (a) the quality (or temperature, if superheated) of the steam at the turbine exit, \((b)\) the thermal efficiency of the cycle, and \((c)\) the mass flow rate of the steam.

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