Page 123 - Handbook of Energy Engineering Calculations
P. 123

efficiency and heat rate of the combined cycle.


               Calculation Procedure:


               1. Sketch the cycle layout
               Figure 1 shows the cycle. Since the gas-turbine exhaust-gas temperature is
               usually  higher  than  the  bleed-steam  temperature,  the  economizer  is  placed
               after the regenerative feedwater heater. The feedwater will be progressively

               heated to a higher temperature during passage through the regenerative heater
               and the gas-turbine economizer. The cycle shown here is only one of many
               possible combinations of a steam plant and a gas turbine.


               2. Sketch the T-S diagram

               Figure 2 shows the T-S diagram for the combined gas turbine–steam turbine
               cycle. There is irreversible heat transfer Q  from the gas-turbine exhaust to
                                                                    T
               the  feedwater  in  the  economizer,  which  helps  reduce  the  required  energy

               input Q .
                        a2

               3. Sketch the energy-flow chart

               Choose a suitable scale for the energy input, and proportion the energy flow
               to each of the other portions of the cycle. Use a single line when the flow is
               too small to plot to scale. Figure 3 shows the energy-flow chart.


               4. Determine the thermal efficiency of the cycle
               Since e = W/Q , e  =  Q   − Q /Q   =  1  −  [Q   +  Q /(Q +  Q )],  given  the
                                                                      r1
                                                                              r2
                                                                                           a2
                                                                                    a1
                                            a
                                  a
                                                        a
                                                    r
               notation in Figs. 1 through 3.
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