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Sustaining Operational Ef ficiency of a CHP System     283


             direct-fired absorption system, heat is provided directly by hot exhaust gases from the
             prime mover, while indirect-fired systems use either steam or hot water to power the
             refrigeration cycle. If supplemental heat is needed, it can be provided by burning
             auxiliary fuel in a duct heater placed in the exhaust gas stream.

             Efficiency of Absorption Chiller
             The efficiency of an absorption chiller is given by the coefficient of performance
             (COP       ) defined as
                  AbChiller
                                                     Q evap
                                         COP       =                            (17-33)
                                             AbChiller  Q
                                                       gen
             where Q    is the rate at which water is cooled by the evaporator; Q   is the heat input
                    evap                                              gen
             equal to the rate of heat loss from the exhaust gas, steam or hot water as it passes
             through the absorption unit’s generator to desorb the refrigerant from the weak solu-
             tion; and W  is the pump energy, which is small compared to Q   and is ignored.
                       in                                         evap
                Here,
                                  Q    =  m    c  T (    −  T   )
                                    evap  evap, wi ,  p w  evap,  w i ,  evap,  w o ,
                                                 ,
                                                  =   v  ρ  c  T (  − T  )      (17-34)
                                                      ,
                                         evap, wi ,  evap, wi ,  p w  evap, w i ,  evap, w,o o
             where      m   = mass flow rate of chilled water into the evaporator
                       evap, wi ,
                        v evap, wi ,  = volumetric flow rate of chilled water entering the evaporator
              ρ       and c  = density and specific heat of chilled water entering the evaporator,
                 evap,w,i  p,w
                              respectively
             T      and T    = evaporator entering and leaving chilled water temperatures
              evap,w,i  evap,w,o
                For direct-fired absorption chillers:
                                     Q   =  v    ρ  c  T (  −  T  )             (17-35)
                                                   ,
                                       gen  ex, i  ex, i  p ex  ex,  i  ex, o
             where  ρ   = density of the exhaust gases entering the absorption chiller
                     ex,i
                      v  = volumetric flow rate of exhaust gases entering the chiller
                     ex, i
                    c   = specific heat of the exhaust gases (evaluated at the average exhaust gas
                     p,ex
                         temperature in the chiller) ∗
             T  and T   = exhaust gas entering and leaving temperatures, respectively
              ex,i    ex,o
                For absorption chillers that use hot water from an HRU to generate the refrigerant:
                            Q   =  v    ρ      c       T (    −  T    )         (17-36)
                                                 ,
                             gen  hotwater, i  hotwater, i  p hotwater  hottwater,i  hotwater,o


             ∗ The product of volumetric flow rate of the exhaust gas and its density, which is the mass flow rate, is
             constant through the chiller during steady operation; therefore,   v ρ  =    v  ρ  , and this quantity can
                                                           ex,  i  ex, i  ex, o  ex,  o
             be evaluated at either the inlet or exit conditions. We recommend evaluating c   at the average of the
                                                                     p,ex
             inlet and outlet temperatures of the exhaust gas; however, the difference in the value of c   evaluated
                                                                            p,ex
             at the inlet conditions and the outlet conditions will be less than about 8 percent for the exhaust gases
             in most practical situations.
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