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ME POST: Power Plant

ME POST · Work through your exam, one topic at a time.

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Power Plant

Power Plant tests thermodynamic cycles, boiler and condenser performance, turbine expansion, heat rate, and plant auxiliaries.

Core rules and concepts

  • Rankine cycle: pump work is approximately v delta P; boiler heat input is h_1-h_4; turbine work is h_1-h_2; efficiency is (W_t-W_p)/Q_in.
  • Reheat raises the average heat-addition temperature; regeneration reduces irreversibility by heating feedwater with extracted steam.
  • Condenser vacuum improves cycle efficiency but is limited by cooling-water temperature and air in-leakage.
  • Boiler efficiency is useful heat divided by chemical energy input; account for stack loss, unburned carbon, radiation, and blowdown.
  • Heat rate is 3600/eta in kJ/kWh with consistent units; lower heat rate is better.

Worked example

Steam enters a turbine at h_1=3000 kJ/kg and leaves at h_2=2000 kJ/kg. Condensate enthalpy is h_4=210 kJ/kg and pump work is 10 kJ/kg. Turbine work is 1000 kJ/kg; net work is 990 kJ/kg; heat input is 3000-210=2790 kJ/kg. Cycle efficiency is 990/2790=0.355, or 35.5%. The condenser rejects h_2-h_3, not the full turbine work.

Traps

Using internal energy instead of enthalpy for steady-flow devices, forgetting pump work, treating condenser pressure as atmospheric, and mixing kJ/kg with kJ/kWh are frequent errors. Reheat is not automatically beneficial at every pressure.