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Sustaining Operational Ef ficiency of a CHP System     293



         Metric      Purpose      Functional Relation            Variables
         Fuel        Indicate     η =  ( W elec + Q )            η  = fuel utilization
                                                                  F
                                            th
         utilization   the overall   F  Q                        efficiency
         efficiency   CHP system         Fuel                    W elec  = net electrical
         (η )        efficiency in    ⎛             ⎞            power output ∗
           F
                     using fuel       ⎜∑ W elec,  j  + ∑ Q th,  k ⎟  Q  = total useful thermal
                                                                  th
                                    =  ⎝ j      k   ⎠            energy output of the CHP
                                           ∑ Q Fuel, l           system
                                           l                     Q   = total rate of fuel
                                                                  Fuel
                                                                 use by the CHP system

                                                                 (see below for other
                                                                 definitions)
         Value-      Indicate           net value of system outputs  EUF  = value-weighted
                                  EUF  =                            VW
         weighted    the overall     VW          Cost            energy utilization factor
         energy      CHP system                     Fuel         Y   = unit value of
                                                                  elec
         utilization   efficiency       ∑ W    Y   + ∑ Q  Y      electricity produced
         factor      based on          =  j  elec,  j elec,  j  k  th,  k th,  k  Y  = unit value of useful
                                                                  th, j
         (EUF )      monetary               ∑ Q   Price          thermal energy output
                                                     e
             VW                                Fuel,  l  Fuel,l
                     value of input          l                   stream j
                     fuel and                                    Price Fuel, j  = price of fuel
                     output energy                               for fuel input j to the CHP
                                                                 system
                                                                 Cost   = total rate of
                                                                    Fuel
                                                                 expenditure on fuel for
                                                                 the system
                                                                 (see below for other
                                                                 definitions)
         Current rate   Indicate the   Q = ∑ Q                   Q = total useful thermal
                                                                  th
         of useful   rate of useful   th  j  th,  j              energy output of the CHP
         thermal     thermal                                     system
         output (Q )  output for                                 Q  = useful thermal
                th                                                th, j
                     heating or                                  energy output j of the
                     cooling by the                              CHP system
                     CHP system
                                      =
         Current     Indicate the   W elec ∑ W                   W elec  = net electrical
         electric    net electric       j  elec,  j              power output of the CHP
         power output  power output                              system
         (W  )       from the CHP                                W    = electrical output
           elec                                                   elec, j
                     system                                      j from the CHP system

                                                                 (parasitic uses of electricity
                                                                 take negative values)
                                      =
         Current total  Indicate the   Q Fuel ∑ Q                Q Fuel  = total rate of fuel
         rate of fuel   total rate      j  Fuel,  j              use by the CHP system
         use (Q  )   of fuel use                                 Q    = rate of fuel use
              Fuel                                                Fuel, j
                     by the CHP                                  by fuel input j to the CHP
                     system                                      system

        ∗ The electricity terms include negative values corresponding to parasitic electricity use by pumps, fans, etc.
        TABLE 17-2  Summary of Functional Relations for CHP System-Level Metrics
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