How do the following quantities change when the simple ideal...

How do the following quantities change when the simple ideal Rankine cycle is modified with regeneration? Assume the mass flow rate through the boiler is the same. $$\begin{array}{|ll}\hline \text { Turbine work output: } & (a) \text { increases, }(b) \text { decreases } \\& (c) \text { remains the same } \\\text { Heat supplied: } & (a) \text { increases, }(b) \text { decreases, } \\& (c) \text { remains the same } \\\text { Heat rejected: } & (a) \text { increases, }(b) \text { decreases, } \\& (c) \text { remains the same } \\\text { Moisture content at } & (a) \text { increases, }(b) \text { decreases, } \\\text { turbine exit: } & (c) \text { remains the same } \\\hline\end{array}$$

How do the following quantities change when the simple ideal Rankine cycle is modified with regeneration? Assume the mass flow rate through the boiler is the same.
$$\begin{array}{|ll}\hline \text { Turbine work output: } & (a) \text { increases, }(b) \text { decreases } \\& (c) \text { remains the same } \\\text { Heat supplied: } & (a) \text { increases, }(b) \text { decreases, } \\& (c) \text { remains the same } \\\text { Heat rejected: } & (a) \text { increases, }(b) \text { decreases, } \\& (c) \text { remains the same } \\\text { Moisture content at } & (a) \text { increases, }(b) \text { decreases, } \\\text { turbine exit: } & (c) \text { remains the same } \\\hline\end{array}$$

Key Concepts

Moisture Content at Turbine Exit

Regeneration tends to lower the moisture content in the turbine’s exhaust. This is due to the extraction of steam at an intermediate stage, which alters the expansion path of the remaining steam and leads to drier conditions at the turbine exit, thus reducing potential turbine blade erosion and improving performance.

Heat Rejected (Condenser Heat Rejection)

Because regenerative feedwater heating increases the cycle efficiency by reducing the temperature gap needed for heat addition, the amount of heat that needs to be rejected at the condenser is decreased. This reduction in rejected heat reflects a better match between heat addition and rejection in the cycle.

Heat Supplied (Boiler Heat Input)

By preheating the feedwater with extracted steam, the energy required to raise the water to the necessary temperature in the boiler is reduced. Thus, the heat supplied to the cycle is lowered, contributing to an overall improvement in thermal efficiency.

Regeneration in Rankine Cycles

Regeneration involves extracting a portion of steam from an intermediate stage of the turbine and using it to preheat the feedwater before entering the boiler. This process raises the average temperature at which heat is added, thereby increasing cycle efficiency and reducing the overall fuel consumption.

Simple Ideal Rankine Cycle

This is a thermodynamic cycle used to model steam power plants and includes four main processes: isentropic expansion in the turbine, constant-pressure heat addition in the boiler, isentropic compression in the pump, and constant-pressure heat rejection in the condenser. It is used as a reference cycle to evaluate modifications and improvements in power plant performance.

Turbine Work Output

In a regenerative cycle, some of the steam is diverted from the main flow in order to heat the feedwater, which means less mass undergoes full expansion in the turbine. Consequently, the net turbine work output decreases compared to a simple cycle.

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