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COGEN
+CAES
>1.0

        Combining Compressed Air Energy
        Storage with Cogeneration, or Using
        Heat of Compression during CAES,
        Yields Improved Energy Efficiency

                             May, 2012



                            Peter Materna




            Peter Materna    peter_materna@yahoo.com   1
COGEN
+CAES                               Overview
>1.0 •   Cogenerating electricity and               • Compressed Air Energy
         heat results in utilizing                    Storage (CAES) has
         typically 80%-90% of the                     “round-trip” efficiency
         heating value of fuel, by                    often described as ~70%
         virtue of the capture and                    (depending on details and
         use of “waste” heat. This is                 on definition of efficiency).
         better than the efficiency of                This is typical of various
         a stand-alone electric                       forms of energy storage,
         generating plant, but is less                and is less than unity.
         than unity.

                           • Combining Cogen and CAES
                             technologies provides a better
                             efficiency than either one alone.
                           • Even if not done in conjunction with a
                             thermodynamic power plant cycle,
                             capture and use of heat of compression
                             along with later recovery of work is
                             beneficial.
                        Peter Materna   peter_materna@yahoo.com                  2
COGEN
+CAES            Overview and Thermodynamics
>1.0
        • During compressing of air, Work W is performed and
          heat of compression Q is produced (and often is
          rejected as waste heat)
                                            W = Work inputted


        Atmospheric pressure,
                                                     Elevated pressure,
        ambient temperature,
                                                        ambient temp.,
        E=Ezero
                                                        E=Ezero



                                                                  Q = Heat of compression
                                                                     outputted

        • More specifically, if the final temperature of the
          compressed air is its temperature at the intake of the
          compressor, then this heat of compression Q is
          exactly equal to the work of compression W
        • How much of this heat Q is useful depends on the
          temperature at which heat can be utilized

                            Peter Materna      peter_materna@yahoo.com                      3
COGEN
               Overview and Thermodynamics (cont’d)
+CAES
        • The compressed air, at elevated pressure, is able to do work
>1.0      when it is released (and furthermore can be stored so that its
          release accomplishes time-shifting for load-leveling).
        • The work recovered upon release of the compressed air is in
          addition to the heat of compression captured earlier.
        • So, heat of compression + recovered work > work of
          compression
        • This is thermodynamically permissible because the compressed
          air released from the work recovery device is cold, which means
          that the heat content of the atmosphere after the process is less
          than it was before the process.
        • The compressed air is actually like the refrigerant in a
          refrigeration cycle. This result is analogous to the recognized
          fact that a heat pump delivers more heat than the electricity that
          it consumes, by virtue of removing heat from the atmosphere or
          ground. The performance for a compressed air refrigeration
          cycle is not as good as for a typical heat pump refrigeration
          cycle involving a phase change of the working fluid, but the
          ability to store the compressed air for later use is advantageous.
                      Peter Materna   peter_materna@yahoo.com              4
COGEN
+CAES
>1.0                       Simplified Energy Budgets
                    for Power Generation and for Cogeneration

          Simple central station                                  Cogeneration
          thermal power plants                                    power plants


                        Mechanical         Electricity                         Mechanical   Electricity
          Heat          work                                      Heat         work
          value                                                   value
 Refer-   of fuel                                        Refer-   of fuel                                 Refer-
 ence     or                                             ence     or                                      ence
                                                                                             Useful
 value    energy        Heat not                         value    energy       Heat not                   value
                                           Rejected                                          heat
          source        converted                                 source       converted
                                           heat
                        into work                                              into work

                                                                                            Rejected heat




                                    Peter Materna        peter_materna@yahoo.com                            5
COGEN
+CAES                      Simplified Energy Budget
>1.0             for Using a Fuel for Cogeneration Then Using
                   the Mechanical Power to Compress a Gas
                                                               Mechanical
                                                               work                   Electricity
                                                               recoverable

                                              Heat of           Useful
                            Mechanical        com-              heat
           Heat             work              pression                                          Refer-   >100%
           value                                          Non-useful heat             Useful    ence
           of fuel                                                                    heat      value    Compared to
  Refer-
           or                                                                                            ordinary co-
  ence                                                          Useful
           energy           Heat not                                                                     generation, this
  value                                                         heat
           source                             Rejected                                                   output contains
                            converted
                                              heat                                                       more heat and
                            into work
                                                                                      Rejected or        less electricity;
                                                                                      non-useful heat    nevertheless,
                                                             Rejected heat
                                                                                                         the total of
                                                                                                         heat+electricity
                                                                                                         is greater than
    Note: sizes of various bars are simply intended as                   Generation of                   for ordinary co-
    representative values for illustration, and mostly are               electricity can                 generation, and
    estimates. Final results are to be viewed also keeping               be time-                        potentially even
    in mind that for typical stand-alone energy storage                  shifted, if                     greater than
    methods, round-trip efficiency is less than unity                    compressed                      unity.
    typically by several tens of percent.                                air is stored


                                   Peter Materna         peter_materna@yahoo.com                                  6
COGEN
+CAES
>1.0                Simplified Energy Budget
              for Direct Generation + Compression

                                           Mechanical
                                           work                  Electricity
                                           available
                                                                               Refer-   >100%
                                            Useful                Useful       ence
        Refer-                Heat of                                                   (although
                                            heat                  heat         value
        ence   Mechanical     com-                                                      the result is
        value work            pression                                                  a mixture of
                                           Non-Useful             Rejected heat         heat and
                                           heat                                         electricity,
                                                                                        rather than
                                                                                        being
                                                     Generation of                      completely
                                                     electricity can                    electricity or
                                                     be time-                           mechanical
                                                     shifted, if                        work as was
                                                     compressed                         present at
                                                     air is stored                      the
                                                                                        beginning of
                                                                                        the process)




                        Peter Materna    peter_materna@yahoo.com                                   7
COGEN
+CAES Considerations of work, compressors and turbines
>1.0
                                                      Work per unit mass for compressors and turbines

                                         900000

                                                                                               From manufacturers’ data for
                                         800000
                                                                                               commercially available air
                                                           Small single-stage                  compressors. Data usually reported
             Work per unit mass (J/kg)




                                         700000            reciprocating                       as scfm, psig, horsepower has been
                                         600000                                                converted to this format.

                                         500000          Small two-stage
                                                         reciprocating   Large recip-
                                         400000
                                                                         rocating                   Screw
                                         300000
                                                                                Centrifugal
                                                                                                     Classic thermodynamic formula for
                                         200000
                                                                                                     work of isothermal compression
                                         100000

                                             0
                                                  0          50                 100           150                  200              250

                                                                          Delivery pressure (psig)

  Comparison of recovered                               Turbine, for extracting work,                       Various small air turbines
  turbine work, to compressor                           performing at 80% or 90%                            and motors
  work, illustrates round-trip                          of isentropic efficiency
  efficiency of CAES
                                                         Peter Materna        peter_materna@yahoo.com                                     8
COGEN
                            Thermodynamic states
+CAES
                    illustrating compression, turbine etc.
>1.0                Compressed air at ambient temperature                    Air at ambient atmospheric conditions




        Illustrated points are for compressing air to about 100 psig (which                 Recovered work is delta h
        corresponds to a depth of water for storage of about 80 meters).       Air at discharge from realistic turbine
        Storage at greater depths than this is probably better for             Air at discharge from ideal turbine
        efficiency, but might be less convenient for practical
        considerations.
                                   Peter Materna       peter_materna@yahoo.com                                  9
COGEN
+CAES
>1.0           Conceptual Designs for Underwater Storage
               (Deformable Boundary or Rigid Boundary,
                   but essentially constant pressure)




 (Principles described here
 could similarly be used
 with compressed gas
 storage that is constant
 volume variable pressure)



                         Peter Materna   peter_materna@yahoo.com   10
COGEN
+CAES                           Conceptual Design for System
>1.0     PV




        Heat
        util.
        means                                                         G



                                                            To Grid




                Peter Materna     peter_materna@yahoo.com                 11
COGEN
+CAES
>1.0
              Is there any other system of energy
              storage that can potentially give back
              slightly more energy (in total, counting
              both heat and electricity) than the energy
              that was put into it? Probably not !



            Thank You

   Peter Materna
   peter_materna@yahoo.com
   Metuchen, NJ
   732-947-2337


                                                            Patent pending

                  Peter Materna   peter_materna@yahoo.com                    12

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  • 1. COGEN +CAES >1.0 Combining Compressed Air Energy Storage with Cogeneration, or Using Heat of Compression during CAES, Yields Improved Energy Efficiency May, 2012 Peter Materna Peter Materna peter_materna@yahoo.com 1
  • 2. COGEN +CAES Overview >1.0 • Cogenerating electricity and • Compressed Air Energy heat results in utilizing Storage (CAES) has typically 80%-90% of the “round-trip” efficiency heating value of fuel, by often described as ~70% virtue of the capture and (depending on details and use of “waste” heat. This is on definition of efficiency). better than the efficiency of This is typical of various a stand-alone electric forms of energy storage, generating plant, but is less and is less than unity. than unity. • Combining Cogen and CAES technologies provides a better efficiency than either one alone. • Even if not done in conjunction with a thermodynamic power plant cycle, capture and use of heat of compression along with later recovery of work is beneficial. Peter Materna peter_materna@yahoo.com 2
  • 3. COGEN +CAES Overview and Thermodynamics >1.0 • During compressing of air, Work W is performed and heat of compression Q is produced (and often is rejected as waste heat) W = Work inputted Atmospheric pressure, Elevated pressure, ambient temperature, ambient temp., E=Ezero E=Ezero Q = Heat of compression outputted • More specifically, if the final temperature of the compressed air is its temperature at the intake of the compressor, then this heat of compression Q is exactly equal to the work of compression W • How much of this heat Q is useful depends on the temperature at which heat can be utilized Peter Materna peter_materna@yahoo.com 3
  • 4. COGEN Overview and Thermodynamics (cont’d) +CAES • The compressed air, at elevated pressure, is able to do work >1.0 when it is released (and furthermore can be stored so that its release accomplishes time-shifting for load-leveling). • The work recovered upon release of the compressed air is in addition to the heat of compression captured earlier. • So, heat of compression + recovered work > work of compression • This is thermodynamically permissible because the compressed air released from the work recovery device is cold, which means that the heat content of the atmosphere after the process is less than it was before the process. • The compressed air is actually like the refrigerant in a refrigeration cycle. This result is analogous to the recognized fact that a heat pump delivers more heat than the electricity that it consumes, by virtue of removing heat from the atmosphere or ground. The performance for a compressed air refrigeration cycle is not as good as for a typical heat pump refrigeration cycle involving a phase change of the working fluid, but the ability to store the compressed air for later use is advantageous. Peter Materna peter_materna@yahoo.com 4
  • 5. COGEN +CAES >1.0 Simplified Energy Budgets for Power Generation and for Cogeneration Simple central station Cogeneration thermal power plants power plants Mechanical Electricity Mechanical Electricity Heat work Heat work value value Refer- of fuel Refer- of fuel Refer- ence or ence or ence Useful value energy Heat not value energy Heat not value Rejected heat source converted source converted heat into work into work Rejected heat Peter Materna peter_materna@yahoo.com 5
  • 6. COGEN +CAES Simplified Energy Budget >1.0 for Using a Fuel for Cogeneration Then Using the Mechanical Power to Compress a Gas Mechanical work Electricity recoverable Heat of Useful Mechanical com- heat Heat work pression Refer- >100% value Non-useful heat Useful ence of fuel heat value Compared to Refer- or ordinary co- ence Useful energy Heat not generation, this value heat source Rejected output contains converted heat more heat and into work Rejected or less electricity; non-useful heat nevertheless, Rejected heat the total of heat+electricity is greater than Note: sizes of various bars are simply intended as Generation of for ordinary co- representative values for illustration, and mostly are electricity can generation, and estimates. Final results are to be viewed also keeping be time- potentially even in mind that for typical stand-alone energy storage shifted, if greater than methods, round-trip efficiency is less than unity compressed unity. typically by several tens of percent. air is stored Peter Materna peter_materna@yahoo.com 6
  • 7. COGEN +CAES >1.0 Simplified Energy Budget for Direct Generation + Compression Mechanical work Electricity available Refer- >100% Useful Useful ence Refer- Heat of (although heat heat value ence Mechanical com- the result is value work pression a mixture of Non-Useful Rejected heat heat and heat electricity, rather than being Generation of completely electricity can electricity or be time- mechanical shifted, if work as was compressed present at air is stored the beginning of the process) Peter Materna peter_materna@yahoo.com 7
  • 8. COGEN +CAES Considerations of work, compressors and turbines >1.0 Work per unit mass for compressors and turbines 900000 From manufacturers’ data for 800000 commercially available air Small single-stage compressors. Data usually reported Work per unit mass (J/kg) 700000 reciprocating as scfm, psig, horsepower has been 600000 converted to this format. 500000 Small two-stage reciprocating Large recip- 400000 rocating Screw 300000 Centrifugal Classic thermodynamic formula for 200000 work of isothermal compression 100000 0 0 50 100 150 200 250 Delivery pressure (psig) Comparison of recovered Turbine, for extracting work, Various small air turbines turbine work, to compressor performing at 80% or 90% and motors work, illustrates round-trip of isentropic efficiency efficiency of CAES Peter Materna peter_materna@yahoo.com 8
  • 9. COGEN Thermodynamic states +CAES illustrating compression, turbine etc. >1.0 Compressed air at ambient temperature Air at ambient atmospheric conditions Illustrated points are for compressing air to about 100 psig (which Recovered work is delta h corresponds to a depth of water for storage of about 80 meters). Air at discharge from realistic turbine Storage at greater depths than this is probably better for Air at discharge from ideal turbine efficiency, but might be less convenient for practical considerations. Peter Materna peter_materna@yahoo.com 9
  • 10. COGEN +CAES >1.0 Conceptual Designs for Underwater Storage (Deformable Boundary or Rigid Boundary, but essentially constant pressure) (Principles described here could similarly be used with compressed gas storage that is constant volume variable pressure) Peter Materna peter_materna@yahoo.com 10
  • 11. COGEN +CAES Conceptual Design for System >1.0 PV Heat util. means G To Grid Peter Materna peter_materna@yahoo.com 11
  • 12. COGEN +CAES >1.0 Is there any other system of energy storage that can potentially give back slightly more energy (in total, counting both heat and electricity) than the energy that was put into it? Probably not ! Thank You Peter Materna peter_materna@yahoo.com Metuchen, NJ 732-947-2337 Patent pending Peter Materna peter_materna@yahoo.com 12