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What the Wise Operator Knows                                                                        115

               an assumed fuel. They’re sufficiently accurate to deter-  bustion efficiency of 78% at a 40% load. In this case
               mine relative efficiency over the load range and to com-  the operating boiler efficiency is 73% (0.82 +0.015 ÷
               pare the boiler performance to another boiler burning    0.4 × 0.75)
               the same fuel but if you use those results to challenge
               the boiler manufacturer’s higher prediction you’ll lose     Why bother with the radiation loss? To ignore it is to
               the argument. Calculations in Appendix L permit deter-  invite some crucial errors in operating decisions. Radia-
               mination of boiler efficiency using the heat loss method  tion losses are, for all practical purposes, constant regard-
               and a fuel analysis for those purposes.              less of firing rate so their proportional effect varies with
                    The most common value used today is what we  load. My favorite example is a plant with an old HRT
               call “combustion efficiency.” When the technician visits  boiler and a newer cast iron boiler. Since the HRT furnace
               your plant to do your annual combustion optimization  was substantially hotter it was easier to get low excess air
               (typically required by EPA [Environmental Protection  with a newly installed burner than possible with the cast
               Agency] or its equivalent in your State) or you draw  iron boiler at the same loads. The predicted full load ra-
               stack samples that allow a calculation of boiler efficiency  diation loss for the HRT boiler was slightly more than 8%
               that’s combustion  efficiency.  It’s  basically  a  heat  loss  while the cast iron boiler had a predicted radiation loss of
               efficiency that assumes a fuel analysis and determines  4%. At the normal load of 50% the combustion efficiency
               the energy lost up the boiler stack. It’s the one that is  of the HRT has to be 8% higher than the cast iron boiler to
               printed on that little strip of paper by the analyzer. As-  overcome the higher (16% versus 8% of actual input) ra-
               suming the analyzer was properly calibrated the value  diation losses. The operators were firing the older boiler
               is a reasonable indication of your boiler efficiency when  because combustion analysis indicated it was 5% more
               it is adjusted for radiation loss.                   efficient. Evaporation rate data later proved they couldn’t
                    That’s because the stack loss is the largest single  rely on their combustion efficiency.
               loss associated with boiler efficiency and the analyzer     For years we have settled on the concept of boiler
               does a pretty good job of determining it.            efficiency being relative  to  the  higher  heating value
                    It isn’t much but radiation loss has to be con-  (HHV) of the fuel fired. The advent of combined cycle
               sidered in addition to that combustion efficiency. The  and cogeneration plants has resulted in the return of
               manufacturer will provide you with a value of radiation  lower heating value (LHV) to our definitions. There is
               loss, equal to a percent of input at a prescribed boiler  a significant difference in the values expressed by these
               load. All you have to do is determine its impact at the  two references, with an efficiency at the LHV always
               actual load. Divide the manufacturer’s predicted loss by  being significantly higher than an efficiency at the HHV.
               the percent of boiler load and, if the predicted loss is at a  In those rare applications where a CHX is applicable,
               load other than 100%, multiply the result by the percent  an LHV efficiency could be greater than 100% because
               load for the prediction. In most cases the manufacturer’s  the system recovers heat the heating value doesn’t ac-
               prediction is at 100% load so you only have to divide  knowledge as existing. LHV doesn’t include the heat
               the predicted loss by the percent load. A few examples  that could be extracted if the water in the flue gas was
               should suffice:                                      condensed.  When  I  talk  efficiency  I’m  talking  HHV,
                                                                    you’ll have to be aware that someone can use the LHV.
               •    A boiler with a predicted radiation loss of 3% at     Can a boiler efficiency be greater than 100%? Logic
                    full load is tested and found to have a combustion  says the answer is no but by the definition of some ef-
                    efficiency of 79% at a 50% load. The radiation loss  ficiency labels some of them can. My favorite example is
                    at that load is 6% (0.03 ÷ 0.5) so the operating boiler  the Nevamar project we did back in 1974. That system
                    efficiency is 73% (0.79 less 0.06)              used heated air off a process as combustion air. It con-
                                                                    tains a small amount of hydrocarbons with negligible
               •    A boiler with a predicted radiation loss of 2% at  heating value but can, when one particular process is
                    80% firing rate is tested and found to have a com-  operating, produce 360°F combustion air. When sup-
                    bustion efficiency of 80% at full load. In this case  plied to the one boiler with an economizer and a stack
                    the operating boiler efficiency is 81.6% (0.8 +0.02 ÷  temperature of 303° it can produce results in the ac-
                    1 × 0.8)                                        cepted definitions that exceed 100%. That, by the way, is
                                                                    efficiency at the HHV.
               •    A boiler with a predicted radiation loss of 1.5% at     If we considered the true and full definition of
                    75% firing rate is tested and found to have a com-  boiler efficiency we would have to include the heat in
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