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Vapor and Combined Power Cycles. The steam cycle and more…. Carnot Cycle. The standard all others are measured against Not realistic model for vapor cycles. 1-2 isentropic compression (pump) 2-3 constant pressure heat addition (boiler) 3-4 isentropic expansion (turbine)
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Vapor and Combined Power Cycles The steam cycle and more…
Carnot Cycle • The standard all others are measured against • Not realistic model for vapor cycles
1-2 isentropic compression (pump) 2-3 constant pressure heat addition (boiler) 3-4 isentropic expansion (turbine) 4-1 constant pressure heat rejection (condenser) Rankine Cycle, Ideal
Rankine Cycle Energy Analysis • Energy balance, each process • For pump
Rankine Cycle Energy Analysis • For boiler • For turbine • For condenser
Rankine Cycle Energy Analysis • Thermal efficiency • Heat rate: amount of heat (Btu) to generate 1 kWh of electricity
Real vs. Ideal Cycle • Major difference is irreversibilities in pump and turbine
Increase Efficiency? • Lower condenser pressure • Increase superheat temperature
Increase Efficiency? • Increase boiler pressure
Reheat • Materials limit temperature of steam, but can we take advantage of higher steam pressures and not have quality of steam issues?
Reheat • Equations become: • Purposes of reheat: keep turbine inlet temps within limits, increase quality of steam in last stages of turbine
Regeneration: effective use of energy Open (direct contact) feedwater heaters (mixing chambers) Closed feedwater heaters (heat exchangers) Ideal Regenerative Rankine Cycle
2nd Law Analysis • Ideal Rankine cycle is internally reversible • Analysis indicates where irreversibilities are • Again for steady-flow system:
2nd Law Analysis • For a cycle:
Combined Gas-Vapor Power Cycle • Use of two cycles to maximize efficiency • Gas power cycle topping a vapor power cycle • Combined cycles have higher efficiency than either independently • Works because: • Gas turbine needs high combustion temp to be efficient, vapor cycle can effectively use rejected energy