Problem $2$: Energetic and exergetic analysis of a steam power system

Consider a power cycle with one open feedwater heater. The working fluid is water.

Assumptions:

State $5$ and state $7$ are saturated liquid at corresponding pressure.

The isentropic efficiency of each pump is $100\%.$

For the exergetic analysis of the OFH use the equation for the deaerator $($Script$,$ Table $2\mathrm{.}9$ assuming that stream $4$ is zero$).$

Initial data:

The net power of the cycle is $30MW.$

Cooling water $($states $21$ and $22)$:

$T_{22}=34C$;

$p_{21}=p_{22}=1$ bar $(0\mathrm{.}1$MPa$)$

Combustion gases $($states $11$ and $12)$: All data from Problem $1,$ and the specific physical exergy is equal $e_{11}^{Ph}=19392k\frac{J}{k}$mol,$e_{12}^{Ph}=1217k\frac{J}{k}$mol

Steam enters the first turbine at and expands to $p_3=3$MPa, where some of the steam is extracted and delivered to the open feedwater heater operating at the same pressure. The remaining steam expands through the second turbine to the condenser pressure of

The isentropic efficiency of each turbine is

Energetic calculations

$($a$)$ Formulate the mass, energy and entropy balances for all system components

$($b$)$ Define and calculate the mass flow rates for all used working fluids

$($c$)$ Define and calculate the specific variables $(w$ or $q)$ and component variables $(W$ or $Q^{})$ for all system components

$($d$)$ Calculate the entropy generation for each system component

$($e$)$ Define and calculate the overall energetic efficiency for the entire system.

Exergetic calculations

$($f$)$ Define the reference state for the exergetic analysis

$($g$)$ Calculate the physical exergy of each material stream

$($h$)$ Calculate the exergy destruction, exergy destruction ratio and exergetic efficiency of each system component

$($i$)$ Calculate the exergetic efficiency of the overall system.