Power Generation Cycles Vapor Power Generation The Rankine Cycle

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Presentation transcript:

Power Generation Cycles Vapor Power Generation The Rankine Cycle Lecture 24 Power Generation Cycles Vapor Power Generation The Rankine Cycle

Power Generation Cycles Vapor Power Generation Cycles Working fluid experiences a phase change Example: Steam Power Plant Gas Power Generation Cycles Working fluid stays in the vapor or gas phase Example: Gas Turbine Engine Internal Combustion Engine (ICE) Cycles The working fluid is air in a closed piston-cylinder Example: Spark ignition ICE Example: Compression ignition ICE

A Simple Vapor Power Plant In ME 322, we are concerned with subsystem A

The Rankine Cycle - Components (Heat Exchanger) (Heat Exchanger)

The Rankine Cycle – A Heat Engine (Heat Source) E (Heat Sink)

Component Analysis Turbine Condenser Boiler Pump

Performance Parameters Thermal Efficiency Heat Rate Back Work Ratio

Vapor Power Generation The Ideal Rankine Cycle

The Ideal Rankine Cycle 1-2: Isentropic expansion through the turbine from a saturated (or superheated) vapor state to the condenser pressure 2-3: Heat transfer from the steam at constant pressure through the condenser to a saturated liquid 3-4: Isentropic process through the pump to the boiler pressure 4-1: Heat transfer to the steam at constant pressure through the boiler to complete the cycle The ideal Rankine Cycle is internally reversible - No friction effects Turbine and pump are reversible and adiabatic - Isentropic

The Ideal Rankine Cycle Boiler pressure Condenser pressure The ideal cycle also includes the possibility of superheating the saturated vapor

Ideal Rankine Cycle with Superheat Example Ideal Rankine Cycle with Superheat

Ideal Rankine Cycle with Superheat Given: An ideal Rankine Cycle with water as the working fluid with known properties as shown below. Find: The net power developed (Btu/hr) The thermal efficiency The heat rate The back work ratio The mass flow rate of the cooling water

Ideal Rankine Cycle with Superheat

Ideal Rankine Cycle with Superheat The net power delivered from the cycle is, The First Law applied to the turbine The enthalpy at the exit of the turbine can be found because the turbine is isentropic,

Ideal Rankine Cycle with Superheat The First Law applied to the pump,

Ideal Rankine Cycle with Superheat The thermal efficiency of the cycle is, The heat transfer rate at the boiler is determined from the First Law,

Ideal Rankine Cycle with Superheat The heat rate and back work ratio are defined as, To determine the mass flow rate of the cooling water, draw a system boundary around the condenser that keeps the heat transfer all internal.

Ideal Rankine Cycle with Superheat For the system identified (red),

Ideal Rankine Cycle with Superheat EES Solution (Key Variables):

Ideal Rankine Cycle with Superheat Results: = 891.2 MBtu/hr (350,257 hp) 2063 MBtu/hr = = 1178 MBtu/hr = 6.7 MBtu/hr