1 6 qout = h6 h1 w net qout 1 1 (h3 qin qin wp back work ratio w t (h3 5 S h6 h1 h2 ) (h5 h4 )
h2 h1 h4 ) (h5 h6 ) Ideal Reheat Rankine Cycles The reheat process in general does not significantly change the cycle efficiency. The sole purpose of the reheat cycle is to reduce the moisture content of the steam at the final stages of the expansion process. Example 1 Consider a steam power plant operating on the ideal reheat Rankine cycle. The steam enters the turbine at 15 MPa and 600 C and is condensed in the condenser at a pressure of 10 kPa. If the moisture content of the steam at the exit of the lowpressure turbine is not to exceed 10.4%, determine (a) the pressure at which the steam should be reheated. (b) the thermal efficiency of this cycle. Example 1 (continued) State 6: saturated mixture at p1 = 10 kPa,
wt = (h5 h6) + (1 y)(h6 h7) w net (h5 h6 ) (1 y)(h6 h7 ) (1 y)(h2 h1) (h4 h3 ) (h5 h4 ) qin Ideal Regenerative Rankine Cycles w net qout 1 qin qin 5 T 4 (1 y)(h7 h1 ) 1 (h5 h4 )
yh6 + (1-y)h2 = h3 h3 h2 y h 6 h2 3 2 6 y 1-y 1 7 S 4 P2
3 Boiler 5 6 FWH y 2 P1 1 Turbine Condenser 7 1-y
Example 2 Consider a steam power plant operating on the ideal regenerative Rankine cycle using open feedwater heater. The steam enters the turbine at 15 MPa and 600 C and is condensed in the condenser at a pressure of 10 kPa. Some steam leaves the turbine at a pressure of 1.2 MPa and enters the feedwater heater. Determine (a) the fraction of steam extracted from the turbine. (b) the thermal efficiency of this cycle. Example 2 (continued) State 1: saturated liquid at p1 = 10 kPa Table A-5 h1 = hf = 191.83 kJ/kg v1 = vf = 0.001008 m3/kg State 2: compressed liquid at p2 = 1.2 MPa wp1 = v(p2 p1) = (0.001008)(1200-10) = 1.20 kJ/kg h2 = h1 + wp1 = 191.83 + 1.2
= 193.03 kJ/kg Example 2 (continued) State 3: saturated liquid at p3 = 1.2 MPa Table A-5 h3 = 798.65 kJ/kg v3 = 0.001139 m3/kg State 4: compressed liquid at p4 = 15 MPa wp2 = v3(p4 p3) = (0.001139)(15000-1200) = 15.72 kJ/kg h4 = h3 + wp2 = 798.65 + 15.72 = 814.37 kJ/kg Example 2 (continued) State 5: superheated vapor at p5 = 15 MPa and T5 = 600 C Table A-6 h5 = 3582.3 kJ/kg s5 = 6.6776 kJ/kgK State 6: p6 = 1.2 MPa
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