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International Journal of Engineering Research and Development
e-ISSN: 2278-067X, p-ISSN: 2278-800X, www.ijerd.com
Volume 6, Issue 5 (March 2013), PP. 46-52

    Three-generation Power Plant with High-temperature
             Fuel Cells for Complex Buildings
                                 Done J. Tashevski1, Igor K. Shesho2
         1,2
               University "Ss. Cyril i Methodius", Faculty of Mechanical Engineering, Skopje, Macedonia


    Abstract:– The paper analyses the application of three-generation power plants with high-temperature
    fuel cells in complex buildings. Optimization and calculation for these power plants is done using
    software package developed in the Faculty for mechanical engineering Skopje. Software package is
    composed of several subprograms for calculation of power plants with or without fuel cells. Variables
    are optimized by the method of successive approaches and as criteria for optimization is used the
    maximum overall exergy efficiency. The software package is verified by comparing the results with
    the collected parameters of existing power plants or power plants which are still in the research phase.
    Economy and ecology analysis is provided for this type of power plants.

    Keywords:– Three-generation, Fuel Cell, Software Package, Optimization, Calculation, Exergy
    Efficiency

                                           I.       INTRODUCTION
          The world energy situation requires significant progress to be made in the rational energy usage i.e
energy efficiency regarding the building sector and energy power plants energy cycles. Energy efficiency
definition and philosophy clearly defines the directions – doing more with less in same time considering the
environment impact. Also, energy efficiency is a way to save energy while meeting current and future energy
needs without changing requirements (conditions) to the consumer. Energy efficiency is a number of measures
to save energy and one of them is to find new effective ways to produce energy [1].
          Cogeneration and three-generation fuel cells power plant are characterized with its high efficiency in
the process for production of electrical (electricity) and thermal (heat) power [2], [3]. Because of its high
efficiency they are subject of research of many researchers engaged in modelling of modern power systems [4]-
[11]. These plants regarding the fuel type utilization can use classic fuels (solid, liquid and gas), hydrogen-rich
gaseous fuels derived in different ways and pure hydrogen [12]-[14]. Therefore, these power plants are among
the group's most promising for the process of production of energy. Mostly applied are high-temperature solid
oxide fuel cells (SOFC) in which despite receiving electricity gets a considerable amount of heat output from the
fuel cell [15]-[18].
          Building sector in most countries is responsible for at least 40 % of the energy use, therefore the
potential for energy savings is significant [19]. Complex buildings are buildings that need electricity and
thermal energy for various needs such as heating/cooling, steam (sterilization, laundry, etc.), and domestic
(sanitary) hot water.
          Application of the three-generation power plants with fuel cells depends on their profitability.
Limitation of installing these facilities is relatively high price of fuel cells, which in the near future is expected
to be equal the price of other power plants. For this purpose, is made an economic analysis of these power plants
[20]-[26].
          Emissions of harmful substances in the air are rising especially worrying trend have CO2 emissions
caused by excessive consumption of fossil fuels. Therefore, the term energy efficiency in buildings involves a
wide range of measures to reduce consumption of all types of fuels [27], [28].
          For these reasons the right choice of efficient power plants to supply the complex building is very
important and as a result the worldwide are installed and analyzed a number of these combined power plants.

   II.          THREE-GENERATION POWER PLANT WITH HIGH-TEMPERATURE SOFC
          Three-generation power plants with high-temperature solid oxide fuel cells (TPFC) are a combined
power plants for production of electrical and thermal (heat) energy, which in summer is used in absorption
chillers for cooling. That means TPFC fully satisfy the energy needs of complex buildings, i.e. in addition to the
production of electrical energy they produce thermal energy required for heating/cooling, steam for various
purposes, and sanitary hot water.

                                                         46
Three-generation Power Plant with High-temperature Fuel Cells for...




                       Fig.1: Three-generation pover plant with high-temperature SOFC

           Scheme of selected TPFC with the characteristic points is shown Fig. 1. These plants consist of high-
temperature solid oxide fuel cell (SOFC), air compressor (C), heat recovery steam generator (HRSG), heat
exchangers and absorption chiller.
           Required compressed air temperature level is reached in the recuperator (R) which utilizes the heat of
the flue gases from the fuel cell. Small percentage of unburned fuel and carbon monoxide additionally burns to a
combustion chamber (CC), located at the exit of the fuel cell, which causes an increase in the output of the fuel
cell temperature above 1000 °C (for this power plant 1041 °C).
           Flue gas leaves with high temperature (about 570 °C), which is utilized in the HRSG. If the HRSG
requires higher parameters there is a possibility of installation (before HRSG) channel burner for additional
combustion, which is not provided in the specific case of the selected building.
           The steam generated in the HRSG is used for heat consumers (machines for drying and processing,
sterilization, laundry, etc.). Part of the steam is used to heating and cooling the building (HE and ACH) and rest
for domestic hot water (SWE). Energy demand for selected building is shown in Table I.

A.   Characteristics of SOFC
         TPFC apply SOFC which operates at a temperature about 1000 °C and pressure of 0.3 MPa. This type
of fuel cell is the product of the Siemens-Westinghouse, specializing in the production of tubular (cylindrical)
SOFC. Last their individual fuel cell is a model with the following characteristics [3], [15]-[18]:
        Diameter 0.4 m, height 2 m
        Power of an individual cell 315 W
        Power of a module 1.5-2.0 MW
        Number of individual cells in a module 4760-6400
         The plant runs on natural gas which is desirable fuel for combustion in fuel cells and also ecology
favorable fuel. Modular SOFC are with internal reforming of natural gas (99 % methane) into hydrogen which is
the primary fuel for combustion in fuel cells. Internal reforming of natural gas needs additional heat provided by
heat recirculation of the anode, which causes a drop in temperature before combustion chamber of the fuel cell.
Fuel brings the anode and cathode air (oxidant) [3].

                                   Табle I: Energy demand of complex building
      Energy                                    Power kW Flow kg/s                    Parameters
      Electrical energy (electricity)           100          -             -
      Heat consumer (thermal energy)            500          Steam/msHC 0.24          0.4 MPa and 150 °C
      Heating (thermal energy)                  700          Water/mwH     8.35       90/70 °C
      Cooling (thermal energy)                  700          Water/mwC     33.4       88/83 °C
      Domestic hot water (thermal energy) 50                 Water/mwSW 0.3           50 °C

                                                       47
Three-generation Power Plant with High-temperature Fuel Cells for...




          Fig.2: Block diagram of model for optimization and calculation of TPFC (software package)

B.        Model for optimization and calculation of TCFC
          Optimization and calculation of TPFC is done with the software package developed in our faculty.
Software package is composed of several subprograms for calculation of power plant with and without fuel cells.
Input data (variables) for the fuel cell are optimized by the method of successive approaches and as optimization
criteria is the maximum overall exergy efficiency [6]. Other input data for calculation of TPFC included as
standard or maximum values, characteristic of a particular plant (Table II).
          Assessment of the validity of the results obtained with the mathematical model is done by comparing
the data of gas fuel power plant collected from the literature sources [3]-[10]. Comparison is done on the results
obtained with the used model of the TPFC on gas fuels and existing plant with a power of 4 MW on natural gas,
product one of the leading companies in this field Siemens-Westinghouse with assistance from the U.S.
company Heron [3]. Obtained results (parameters) from the model are very close to the parameters of the
selected power plant. It must be noted that the considered power plant is a combination of modular fuel cell and
gas-turbine. However, it does not diminish the reliability of the obtained results, because all the characteristic
variables of this plant are covered by the optimization and calculation [6].
          Optimization and calculation of electric and overall power plant efficiency apply exergy (entropic)
method which gives a more realistic overview of the size of the efficiency. Applying classical method gives
unrealistically high values of the efficiency which is result of simply summary of electrical and thermal energy.
For this purpose the entire system is analyzed and calculated with using exergy method. Classical thermal
method is used for comparing the obtained results [4], [11].

                          Table II: Input data and results from optimization of TPFC:
     Enter data/Results                      Value/Field/Step                      Procedure (*)
     Voltage of individual fuel cell         VFC       V       0.7/0.5-0.7/0.1     O
     Fuel utilization                        Uf        %       93/93-98/1          O
     Oxidant utilization                     Uo        %       85/75-85/1          O
     Fuel inlet temperature                  Tf        K       823/783-823/1       O
     Oxidant inlet temperature               To        K       973/973-1023/1      O
     Compressor inlet temperature            T1        K       288                 S
     Compressor pressure ratio                 C      -       3/1-15/1            O
     HRSG steam outlet pressure              pа        MPa 0.4/0.1-14/0.1          O
     HRSG steam outlet pressure              ta        °C      150                 S
                                             exTPFC
                                                       -
     Maximum exergy overall efficiency                         0.667               Optimization criteria
     (*) S-standard (maksimum) values O-values obtained by optimization

                                                       48
Three-generation Power Plant with High-temperature Fuel Cells for...

         For determining the electrical and overall efficiency of the TPFC an exergy method is applied:
             ex eTPFC  ex tTPFC PeTPFC  ex tTPFC
 exBCFC                                                                                                      (1)
                     exQ d              B f  ed
          Where: change of exergy during the production of electrical energy ΔexeTPFC kW (values are very near
to the electrical power PeTPFC kW), change of exergy during the production of thermal power (heat) Δex tTPFC kW,
brought (inlet) exergy with the fuel exQd kW, specific exergy of the fuel ed kJ/kg (for natural gas is equal to the
LHV), total fuel consumption Bf kg/s.
          The following general equation is used for determination the change of exergy Δex kW:
 ex  m  h  To  s                                                                                       (2)
          Where: flow m kg/s, change of specific enthalpy Δh kJ/kg, environment temperature T o K, change of
specific entropy Δs kJ/kgK.
          Applying the exergy method in the calculations, results with values for change of exergy during the
production of electrical energy which are very near with electrical power according the thermal method (low
change of entropy). Significant differences appear in change exergy during the production of thermal energy
(heat) compared with values obtained by thermal method (significant change of entropy). Values of the specific
exergy of the gas fuels are very close to the LHV values.
          Natural gas characteristics used in these power plants such as: composition, density and lower heat
value (LHV) are equal to the applied in Macedonia (NG density 0.7 kg/m3 and LHV = 33500 kJ/m3) [12]-[14].
          This approach is supported by many authors, such as Kotas [11], who works on the problem of
modelling and calculation of modern energy systems.

C.   Results from optimization and calculation of TCFC
          Results (output data) obtained from the software package are shown in Table III. From the table III we
can see that the electrical power of 4000 kW are receive in a modular SOFC with efficiency of 59.5 %. Part of
that power of 300 kW is spent in the air compressor and the net electricity produced from TPFC is 3700 kW.
Thermal power of HRSG from the gas side is 1500 kW and useful energy required for the building is 1250 kW.
          Accordingly electrical efficiency is 59.5 % and the overall exergy efficiency of TCPFC is 66.7 %. Must
say that the efficiency is remarkably high. The applications of these plants that achieve high overall efficiency
66.7% is a challenge for many authors and do in order approximation of efficiency to efficiency of fantastic
Carnot cycle about 78 %.

                      Table III: Results – output data obtained from the calculation of TPFC:
             Parameter                                                 Value
             Fuel cells (SOFC)
             Air flow                                                  ma          kg/s       2.48
             Gases flow                                                mg          kg/s       2.61
             Fuel consumption                                          B           kg/s       0.13
             Fuel cells electrical power                               PeFC        kW         4000
             Fuel cells electrical efficiency                          eFC        -          0.595
             Number of individual fuel cells/modules                   niFC/ nmFC -           13092/2
             Fuel cells area                                           AFC         m2         5.95
             Fuel cells dimension                                      a/b/c       m/m/m      2/3/2.5
             Fuel cells gases outlet temperature                       t4          °C         1041
             Air compressor (C), HRSG and heat exchangers (HE)
             Air compressor power                                      PC          kW         300
             HRSG thermal power                                        QtHRSG      kW         1500
             HRSG gases inlet temperature                              t5          °C         570
             HRSG outlet (total) steam flow                            ms          kg/s       0.61
             Heat consumer (HC) steam flow                             msHC        kg/s       0.24
             HE steam flow for heating/cooling (steam/water)           msH/C       kg/s       0.34
             HE steam flow for sanitary hot water (steam/water)        msSW        kg/s       0,03
             Three-generation power plant with SOFC (TPFC)
             TPFC electrical power                                     PeTPFC      kW         3700
             TPFC thermal power (thermal method)                       QtTPFC      kW         1250
             TPFC change of exergy during the production of heat       exTPFC     kW         450.4
             TPFC overall exergy efficiency                            exTPFC     -          0.667


                                                        49
Three-generation Power Plant with High-temperature Fuel Cells for...

                       Table IV: Comparison with TPFC and classic boiler on natural gas
                 Parameters                                  TPFC       Boiler (NG)
                 Fuel consumption               Bf    kg/s 0.13        0.03
                 Electrical power               Pe    kW 4000          -
                 Surplus of electrical power    Pes   kW 3600          -
                 Thermal power (HRSG/boiler) Qt       kW 1500          1500
                 Electrical efficiency          e    -      0.595     -
                 Overall exergy efficiency      ex   -      0.667     0.310/thermal 0.870

        III.       COMPARISON TPFC WITH CLASIC BOILER ON NATURAL GAS
          To be able to present the perspective of TPFC comparison is made between TPFC and classic boiler on
natural gas. Boiler facility have characteristics to meet thermal requirements of the building. Electrical energy
provides by other sources of energy (electricity grid, diesel generator or others.). Results from a comparison are
shown in Table IV.
          From the table we can see that the required 1500 kW thermal power should be installed TPFC with
total electric power of 4000 kW. Subtracting from the total electric power: 100 kW electrical power for the
building and 300 kW for the air compressor results with 3600 kW net electrical power.
          The natural gas boiler can only meet the heating load requirements but for the electrical power it is
necessary to allocate funds.

           IV.        ECONOMIC ANALISYS – PROFITABILITY CALCULATION
          Economic analysis is performed for this power plant which results are presented in the Table V. Can be
concluded that the feasibility of installing these plants primarily depends on the price of natural gas, the specific
cost of the plant, as well as interest rates and inflation.
          By the end of the 2015-20 year the cost of fuel cells is expected to equal the price of other power plants,
which states that the calculation of profitability would be more favorable [20]-[26].

                                        Table V: Profitability calculation
                                                    Variant 1:                Variant 2:
                                                    With           profit     Without     profit
                                                    derived from heat         derived from heat
                 Hours                              7000          h/god       7000       h/god
                 Price of electricity               0.137         $/kWh       0.137      $/kWh
                 Price of heat                      0.144         $/kWh       0.144      $/kWh
                 Price of natural gas               0.88          $/kg        0.88       $/kg
                 Electrical power                   4000          kW          4000       kW
                 Net electrical power (electricity) 3600          kW          3600       kW
                 Thermal power (heat)               1250          kW          0          kW
                 Fuel consumption                   0,13          kg/s        0..13      kg/s
                 Power plant specific investment    2000          $/kW        2000       $/kW
                 Power plant investment             8000000       $           8000000    $
                 Total investment                   20000000 $                20000000 $
                 Real interest                      4.45          %           4.45       %
                 Profit (electricity)               3452400       $/god       3452400    $/god
                 Profit (heat)                      1008000       $/god       0          $/god
                 Total profit                       4460400       $/god       3452400    $/god
                 Fuel costs                         2882880       $/god       2882880    $/god
                 Wage costs                         14400         $/god       14400      $/god
                 Amortization                       400000        $/god       400000     $/god
                 O&M costs                          312228        $/god       241668     $/god
                 Other costs                        120000        $/god       120000     $/god
                 Total costs                        3729508       $/god       3658948    $/god
                 Simple payback                     5.32          god         6.85       god
                 IRR                                16.11         %           11.97      %


                                                        50
Three-generation Power Plant with High-temperature Fuel Cells for...

           Considered are two variants of the calculation of profitability. The first variant is with the profits
derived from thermal energy, i.e. in the case of requirement of thermal energy (heat) of the building would be
purchased from another producer. The second variant is without the profits derived from thermal energy (heat),
i.e. in the case of thermal energy building requirements would be generated in classic boiler on natural gas.
           Simple payback period for first variant would have been 5.32 years and second variant 6.85 years.
TPFC both variants makes a profit from the sale of surplus electricity, unlike use the classic boiler for thermal
energy requirements of the building makes the only cost for buying fuel.

               V.                  ECOLOGICAL ANALYSIS - ECOLOGICAL BENEFITS
         For the determination of the emission of pollutants from TPFC will be used standard emission factors
of different pollutants for different types of fuel. In Macedonia used emission factors per unit of burnt fuel.
Emission factors used in our country in accordance with the EU emission factors proposed by the EPA [27],
[28].
         These emission factors for natural gas are shown in Table VI. For this purpose, a comparison is made
with natural gas boiler that is used for thermal energy production and electricity is provided from the power grid.
From the diagram in Fig. 3 can be seen that TPFC achieves 2.3 times less emissions of CO2 and NOx.

                                Table VI: TPFC emissions and specific emissions of CO2 и NOx
                                                                        CO2       NOx
                                      Emission factor     Ef g/MJ       55.9      0.06
                                      Emission            E g/s         347.78 0.37
                                      Specific emission   e    g/kWh 313.00 0.34




                               800.00                                                         1.00

                               600.00                                                         0.80
                    Emission




                                                                                   Emission




                                                                                              0.60
                               400.00
                                                                                              0.40
                               200.00
                                                                                              0.20

                                 0.00                                                         0.00
                                        TPFC        Boiler and Grid                                  TPFC   Boiler and Grid
              Emission CO2 g/s          347.78          778.04             Emission NOx g/s          0.37        0.84


       Fig.3: Comparison between TPFC and boiler on natural gas for production of thermal (heat) energy

                                          VI.       CONCLUSIONS
         Based on what has been done it can be concluded that TPFC very practical can meet the electrical and
thermal needs of a building, and always exists a chance of getting profit from the sale of surplus of electricity
(presented example). These plants have a series of advantages:
   Three-generation power plant with high-temperature fuel cells achieve very high efficiency about 67 %
   Able to use any kind of fuel, and hydrogen
   Able to install for different power and be used as an independent source for production of electrical and
       thermal energy for complex building
   Fuel cells operate at constant parameters and uninterrupted supply the building with constant amount of
       electricity and heat
   The current status of fuel cells provides a relatively long lifetime up to 70 000 h.
   Emissions of pollutants is low, that they are environmentally friendly
   Fuel cell works completely silently, because there are no rotation parts.

                                                             REFERENCES
[1].     Zeitz R., Energy Efficiency Handbook, CIBO, Burke Centre Parkway, VA, USA: Council of Industrial
         Boiler Owners, 1997.
[2].     Boyce M., Handbook for Cogeneration and Combined Cycle Power Plant, Second Edition, USA:
         ASME - American Society of Mechanical Engineers, 2002.
                                                                      51
Three-generation Power Plant with High-temperature Fuel Cells for...

[3].    Hirschenhofer J., Stauffer D., Engleman R., Klett M, Fuel Cell Handbook-Fourth Edition, Parsons
        Corporation, Reading, PA, USA: FETC, 1998.
[4].    Kavrakoglu I., , Mathematical modelling of energy, Sijthoff & Nooordhoff International Publishers
        B.V., Alphen aan den Rijn, The Netherlands, 1981.
[5].    Vujanovic B., Methods of optimization, Novi Sad, Serbia: Naucna Knjiga - Beograd, 1980
[6].    Tashevski D., “Optimization of binary co-generative power plants with high temperature fuel cells”,
        PhD thesis, University Ss. Cyril and Methodius, Mechanical Faculty, Skopje, Macedonia, 2004.
[7].    Hao Y., Goodwin D., “Numerical Modeling of Single-Chamber SOFCs with Hydrocarbon Fuels”,
        Journal of The Electrochemical Society, vol. 154 (2), pp. 207-217, 2007.
[8].    Yang S., Wang M., Lin J., Meng K., “Optimization Design of Supervising and Controlling on the
        SOFC Integration System”, IITSI '10 Proceedings of the 2010 Third International Symposium on
        Intelligent Information Technology and Security Informatics, 2010, pp. 576-579
[9].    Bove R., Ubertini S., Modeling Solid Oxide Fuel Cells : Methods, Procedure and Techniques, USA :
        Springer, 2008.
[10].   Oehl D., “Design & Modeling for a Small Scale Cogeneration Plant Feasibility Study”, Maven Power,
        Houston, USA, MPH Tech. Rep. 2125, 2010.
[11].   Kotas T., The Exergy Method of Thermal Plant Analysis, London, UK: Paragon Publishing, 2010.
[12].   Kee J., Zhu H., Goodwin D., Solid-oxide fuel cells (SOFC) with hydrocarbon and hydrocarbon-derived
        fuels, 30th International Symposium on Combustion, Chicago, Illinois, 2004, paper 4D01/02, p. 56.
[13].   Fuel Catalogue, Makpetrol AD – Skopje, Macedonia, 2012.
[14].   (2013) The GAMA website. [Online]. Available: http://www.gama.com.mk/
[15].   George R., “Westinghouse program overview”, Fuel Cells „96 Review Meeting, Morgantown, West
        Virginia, USA, pp. 73-84, 1996.
[16].   Veyo S., 1999, Westinghouse SOFC field init status, Proceedings of the Review Conference on Fuel
        Cell Technology, U.S. Department of ENETL, Chicago, USA, 34-47.
[17].   Lawn C., “Technologies for tomorrow‟s electric power generation”, Proceedings of the Institution of
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        2742.
[18].   Wiens B. (2010) The Future of Fuel Cells, Ben Wiens Consulting Inc. home page, [Online]. Available:
        http://www.benwiens.com/energy4.html
[19].   Schuster T., “Design and operation of a local cogeneration plant supplying a multi-family house (9,5
        kW electrical/35 kW thermal power)”, International Conference on Renewable Energies and Power
        Quality (ICREPQ‟09), Valencia, Spain, 2009, p. 204.
[20].   Costa A., Neves M., Cruz M., Vieira L., “Maximum profit cogeneration plant - MPCP: system
        modeling, optimization problem formulation, and solution”, Journal of the Brazilian Society of
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[21].   Papadias D., Ahmed S., Kumar R., Fuel Quality Issues in Stationary Fuel Cell Systems, Chemical
        Sciences and Engineering Division, Argonne National Laboratory, Argonne, USA: U.S. Department of
        Energy, 2011.
[22].   Song CH.,”Fuel processing for low-temperature and high-temperature fuel cells Challenges, and
        opportunities for sustainable development in the 21st century”, Elsevier, C. Today 77, pp. 17-49, 2002.
[23].   Carter D., Ryan M., Wing J., “The Fuel cell Industry Review 2012”, Fuel Cell Today, Royston, UK,
        Fuel Cell Today Tech. Rep., 2012.
[24].   Cogeneration Application Considerations, General Electric Company, 2009.
[25].   “Fuel Cell Cost Analysis Summary”, Rep. Prepared by IPHE (International Partnership for Hydrogen
        and Fuel Cells in the Economy) Representatives from China, Korea, and the United States, 2009.
[26].   Spendelow J., Marcinkoski J., “Fuel Cell System Cost – 2011”, DOE, USA, DOE Hydrogen and Fuel
        Cells Program Record 11012, 2011.
[27].   Puncochar J., “Evaluating cogeneration for your facility: A look at the potential energy-efficiency,
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[28].   (2013) The EPA - U.S. Environmental Protection Agency website. [Online]. Available:
        http://nepis.epa.gov/




                                                     52

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  • 1. International Journal of Engineering Research and Development e-ISSN: 2278-067X, p-ISSN: 2278-800X, www.ijerd.com Volume 6, Issue 5 (March 2013), PP. 46-52 Three-generation Power Plant with High-temperature Fuel Cells for Complex Buildings Done J. Tashevski1, Igor K. Shesho2 1,2 University "Ss. Cyril i Methodius", Faculty of Mechanical Engineering, Skopje, Macedonia Abstract:– The paper analyses the application of three-generation power plants with high-temperature fuel cells in complex buildings. Optimization and calculation for these power plants is done using software package developed in the Faculty for mechanical engineering Skopje. Software package is composed of several subprograms for calculation of power plants with or without fuel cells. Variables are optimized by the method of successive approaches and as criteria for optimization is used the maximum overall exergy efficiency. The software package is verified by comparing the results with the collected parameters of existing power plants or power plants which are still in the research phase. Economy and ecology analysis is provided for this type of power plants. Keywords:– Three-generation, Fuel Cell, Software Package, Optimization, Calculation, Exergy Efficiency I. INTRODUCTION The world energy situation requires significant progress to be made in the rational energy usage i.e energy efficiency regarding the building sector and energy power plants energy cycles. Energy efficiency definition and philosophy clearly defines the directions – doing more with less in same time considering the environment impact. Also, energy efficiency is a way to save energy while meeting current and future energy needs without changing requirements (conditions) to the consumer. Energy efficiency is a number of measures to save energy and one of them is to find new effective ways to produce energy [1]. Cogeneration and three-generation fuel cells power plant are characterized with its high efficiency in the process for production of electrical (electricity) and thermal (heat) power [2], [3]. Because of its high efficiency they are subject of research of many researchers engaged in modelling of modern power systems [4]- [11]. These plants regarding the fuel type utilization can use classic fuels (solid, liquid and gas), hydrogen-rich gaseous fuels derived in different ways and pure hydrogen [12]-[14]. Therefore, these power plants are among the group's most promising for the process of production of energy. Mostly applied are high-temperature solid oxide fuel cells (SOFC) in which despite receiving electricity gets a considerable amount of heat output from the fuel cell [15]-[18]. Building sector in most countries is responsible for at least 40 % of the energy use, therefore the potential for energy savings is significant [19]. Complex buildings are buildings that need electricity and thermal energy for various needs such as heating/cooling, steam (sterilization, laundry, etc.), and domestic (sanitary) hot water. Application of the three-generation power plants with fuel cells depends on their profitability. Limitation of installing these facilities is relatively high price of fuel cells, which in the near future is expected to be equal the price of other power plants. For this purpose, is made an economic analysis of these power plants [20]-[26]. Emissions of harmful substances in the air are rising especially worrying trend have CO2 emissions caused by excessive consumption of fossil fuels. Therefore, the term energy efficiency in buildings involves a wide range of measures to reduce consumption of all types of fuels [27], [28]. For these reasons the right choice of efficient power plants to supply the complex building is very important and as a result the worldwide are installed and analyzed a number of these combined power plants. II. THREE-GENERATION POWER PLANT WITH HIGH-TEMPERATURE SOFC Three-generation power plants with high-temperature solid oxide fuel cells (TPFC) are a combined power plants for production of electrical and thermal (heat) energy, which in summer is used in absorption chillers for cooling. That means TPFC fully satisfy the energy needs of complex buildings, i.e. in addition to the production of electrical energy they produce thermal energy required for heating/cooling, steam for various purposes, and sanitary hot water. 46
  • 2. Three-generation Power Plant with High-temperature Fuel Cells for... Fig.1: Three-generation pover plant with high-temperature SOFC Scheme of selected TPFC with the characteristic points is shown Fig. 1. These plants consist of high- temperature solid oxide fuel cell (SOFC), air compressor (C), heat recovery steam generator (HRSG), heat exchangers and absorption chiller. Required compressed air temperature level is reached in the recuperator (R) which utilizes the heat of the flue gases from the fuel cell. Small percentage of unburned fuel and carbon monoxide additionally burns to a combustion chamber (CC), located at the exit of the fuel cell, which causes an increase in the output of the fuel cell temperature above 1000 °C (for this power plant 1041 °C). Flue gas leaves with high temperature (about 570 °C), which is utilized in the HRSG. If the HRSG requires higher parameters there is a possibility of installation (before HRSG) channel burner for additional combustion, which is not provided in the specific case of the selected building. The steam generated in the HRSG is used for heat consumers (machines for drying and processing, sterilization, laundry, etc.). Part of the steam is used to heating and cooling the building (HE and ACH) and rest for domestic hot water (SWE). Energy demand for selected building is shown in Table I. A. Characteristics of SOFC TPFC apply SOFC which operates at a temperature about 1000 °C and pressure of 0.3 MPa. This type of fuel cell is the product of the Siemens-Westinghouse, specializing in the production of tubular (cylindrical) SOFC. Last their individual fuel cell is a model with the following characteristics [3], [15]-[18]:  Diameter 0.4 m, height 2 m  Power of an individual cell 315 W  Power of a module 1.5-2.0 MW  Number of individual cells in a module 4760-6400 The plant runs on natural gas which is desirable fuel for combustion in fuel cells and also ecology favorable fuel. Modular SOFC are with internal reforming of natural gas (99 % methane) into hydrogen which is the primary fuel for combustion in fuel cells. Internal reforming of natural gas needs additional heat provided by heat recirculation of the anode, which causes a drop in temperature before combustion chamber of the fuel cell. Fuel brings the anode and cathode air (oxidant) [3]. Табle I: Energy demand of complex building Energy Power kW Flow kg/s Parameters Electrical energy (electricity) 100 - - Heat consumer (thermal energy) 500 Steam/msHC 0.24 0.4 MPa and 150 °C Heating (thermal energy) 700 Water/mwH 8.35 90/70 °C Cooling (thermal energy) 700 Water/mwC 33.4 88/83 °C Domestic hot water (thermal energy) 50 Water/mwSW 0.3 50 °C 47
  • 3. Three-generation Power Plant with High-temperature Fuel Cells for... Fig.2: Block diagram of model for optimization and calculation of TPFC (software package) B. Model for optimization and calculation of TCFC Optimization and calculation of TPFC is done with the software package developed in our faculty. Software package is composed of several subprograms for calculation of power plant with and without fuel cells. Input data (variables) for the fuel cell are optimized by the method of successive approaches and as optimization criteria is the maximum overall exergy efficiency [6]. Other input data for calculation of TPFC included as standard or maximum values, characteristic of a particular plant (Table II). Assessment of the validity of the results obtained with the mathematical model is done by comparing the data of gas fuel power plant collected from the literature sources [3]-[10]. Comparison is done on the results obtained with the used model of the TPFC on gas fuels and existing plant with a power of 4 MW on natural gas, product one of the leading companies in this field Siemens-Westinghouse with assistance from the U.S. company Heron [3]. Obtained results (parameters) from the model are very close to the parameters of the selected power plant. It must be noted that the considered power plant is a combination of modular fuel cell and gas-turbine. However, it does not diminish the reliability of the obtained results, because all the characteristic variables of this plant are covered by the optimization and calculation [6]. Optimization and calculation of electric and overall power plant efficiency apply exergy (entropic) method which gives a more realistic overview of the size of the efficiency. Applying classical method gives unrealistically high values of the efficiency which is result of simply summary of electrical and thermal energy. For this purpose the entire system is analyzed and calculated with using exergy method. Classical thermal method is used for comparing the obtained results [4], [11]. Table II: Input data and results from optimization of TPFC: Enter data/Results Value/Field/Step Procedure (*) Voltage of individual fuel cell VFC V 0.7/0.5-0.7/0.1 O Fuel utilization Uf % 93/93-98/1 O Oxidant utilization Uo % 85/75-85/1 O Fuel inlet temperature Tf K 823/783-823/1 O Oxidant inlet temperature To K 973/973-1023/1 O Compressor inlet temperature T1 K 288 S Compressor pressure ratio  C - 3/1-15/1 O HRSG steam outlet pressure pа MPa 0.4/0.1-14/0.1 O HRSG steam outlet pressure ta °C 150 S exTPFC - Maximum exergy overall efficiency 0.667 Optimization criteria (*) S-standard (maksimum) values O-values obtained by optimization 48
  • 4. Three-generation Power Plant with High-temperature Fuel Cells for... For determining the electrical and overall efficiency of the TPFC an exergy method is applied: ex eTPFC  ex tTPFC PeTPFC  ex tTPFC  exBCFC   (1) exQ d B f  ed Where: change of exergy during the production of electrical energy ΔexeTPFC kW (values are very near to the electrical power PeTPFC kW), change of exergy during the production of thermal power (heat) Δex tTPFC kW, brought (inlet) exergy with the fuel exQd kW, specific exergy of the fuel ed kJ/kg (for natural gas is equal to the LHV), total fuel consumption Bf kg/s. The following general equation is used for determination the change of exergy Δex kW: ex  m  h  To  s  (2) Where: flow m kg/s, change of specific enthalpy Δh kJ/kg, environment temperature T o K, change of specific entropy Δs kJ/kgK. Applying the exergy method in the calculations, results with values for change of exergy during the production of electrical energy which are very near with electrical power according the thermal method (low change of entropy). Significant differences appear in change exergy during the production of thermal energy (heat) compared with values obtained by thermal method (significant change of entropy). Values of the specific exergy of the gas fuels are very close to the LHV values. Natural gas characteristics used in these power plants such as: composition, density and lower heat value (LHV) are equal to the applied in Macedonia (NG density 0.7 kg/m3 and LHV = 33500 kJ/m3) [12]-[14]. This approach is supported by many authors, such as Kotas [11], who works on the problem of modelling and calculation of modern energy systems. C. Results from optimization and calculation of TCFC Results (output data) obtained from the software package are shown in Table III. From the table III we can see that the electrical power of 4000 kW are receive in a modular SOFC with efficiency of 59.5 %. Part of that power of 300 kW is spent in the air compressor and the net electricity produced from TPFC is 3700 kW. Thermal power of HRSG from the gas side is 1500 kW and useful energy required for the building is 1250 kW. Accordingly electrical efficiency is 59.5 % and the overall exergy efficiency of TCPFC is 66.7 %. Must say that the efficiency is remarkably high. The applications of these plants that achieve high overall efficiency 66.7% is a challenge for many authors and do in order approximation of efficiency to efficiency of fantastic Carnot cycle about 78 %. Table III: Results – output data obtained from the calculation of TPFC: Parameter Value Fuel cells (SOFC) Air flow ma kg/s 2.48 Gases flow mg kg/s 2.61 Fuel consumption B kg/s 0.13 Fuel cells electrical power PeFC kW 4000 Fuel cells electrical efficiency eFC - 0.595 Number of individual fuel cells/modules niFC/ nmFC - 13092/2 Fuel cells area AFC m2 5.95 Fuel cells dimension a/b/c m/m/m 2/3/2.5 Fuel cells gases outlet temperature t4 °C 1041 Air compressor (C), HRSG and heat exchangers (HE) Air compressor power PC kW 300 HRSG thermal power QtHRSG kW 1500 HRSG gases inlet temperature t5 °C 570 HRSG outlet (total) steam flow ms kg/s 0.61 Heat consumer (HC) steam flow msHC kg/s 0.24 HE steam flow for heating/cooling (steam/water) msH/C kg/s 0.34 HE steam flow for sanitary hot water (steam/water) msSW kg/s 0,03 Three-generation power plant with SOFC (TPFC) TPFC electrical power PeTPFC kW 3700 TPFC thermal power (thermal method) QtTPFC kW 1250 TPFC change of exergy during the production of heat exTPFC kW 450.4 TPFC overall exergy efficiency exTPFC - 0.667 49
  • 5. Three-generation Power Plant with High-temperature Fuel Cells for... Table IV: Comparison with TPFC and classic boiler on natural gas Parameters TPFC Boiler (NG) Fuel consumption Bf kg/s 0.13 0.03 Electrical power Pe kW 4000 - Surplus of electrical power Pes kW 3600 - Thermal power (HRSG/boiler) Qt kW 1500 1500 Electrical efficiency e - 0.595 - Overall exergy efficiency ex - 0.667 0.310/thermal 0.870 III. COMPARISON TPFC WITH CLASIC BOILER ON NATURAL GAS To be able to present the perspective of TPFC comparison is made between TPFC and classic boiler on natural gas. Boiler facility have characteristics to meet thermal requirements of the building. Electrical energy provides by other sources of energy (electricity grid, diesel generator or others.). Results from a comparison are shown in Table IV. From the table we can see that the required 1500 kW thermal power should be installed TPFC with total electric power of 4000 kW. Subtracting from the total electric power: 100 kW electrical power for the building and 300 kW for the air compressor results with 3600 kW net electrical power. The natural gas boiler can only meet the heating load requirements but for the electrical power it is necessary to allocate funds. IV. ECONOMIC ANALISYS – PROFITABILITY CALCULATION Economic analysis is performed for this power plant which results are presented in the Table V. Can be concluded that the feasibility of installing these plants primarily depends on the price of natural gas, the specific cost of the plant, as well as interest rates and inflation. By the end of the 2015-20 year the cost of fuel cells is expected to equal the price of other power plants, which states that the calculation of profitability would be more favorable [20]-[26]. Table V: Profitability calculation Variant 1: Variant 2: With profit Without profit derived from heat derived from heat Hours 7000 h/god 7000 h/god Price of electricity 0.137 $/kWh 0.137 $/kWh Price of heat 0.144 $/kWh 0.144 $/kWh Price of natural gas 0.88 $/kg 0.88 $/kg Electrical power 4000 kW 4000 kW Net electrical power (electricity) 3600 kW 3600 kW Thermal power (heat) 1250 kW 0 kW Fuel consumption 0,13 kg/s 0..13 kg/s Power plant specific investment 2000 $/kW 2000 $/kW Power plant investment 8000000 $ 8000000 $ Total investment 20000000 $ 20000000 $ Real interest 4.45 % 4.45 % Profit (electricity) 3452400 $/god 3452400 $/god Profit (heat) 1008000 $/god 0 $/god Total profit 4460400 $/god 3452400 $/god Fuel costs 2882880 $/god 2882880 $/god Wage costs 14400 $/god 14400 $/god Amortization 400000 $/god 400000 $/god O&M costs 312228 $/god 241668 $/god Other costs 120000 $/god 120000 $/god Total costs 3729508 $/god 3658948 $/god Simple payback 5.32 god 6.85 god IRR 16.11 % 11.97 % 50
  • 6. Three-generation Power Plant with High-temperature Fuel Cells for... Considered are two variants of the calculation of profitability. The first variant is with the profits derived from thermal energy, i.e. in the case of requirement of thermal energy (heat) of the building would be purchased from another producer. The second variant is without the profits derived from thermal energy (heat), i.e. in the case of thermal energy building requirements would be generated in classic boiler on natural gas. Simple payback period for first variant would have been 5.32 years and second variant 6.85 years. TPFC both variants makes a profit from the sale of surplus electricity, unlike use the classic boiler for thermal energy requirements of the building makes the only cost for buying fuel. V. ECOLOGICAL ANALYSIS - ECOLOGICAL BENEFITS For the determination of the emission of pollutants from TPFC will be used standard emission factors of different pollutants for different types of fuel. In Macedonia used emission factors per unit of burnt fuel. Emission factors used in our country in accordance with the EU emission factors proposed by the EPA [27], [28]. These emission factors for natural gas are shown in Table VI. For this purpose, a comparison is made with natural gas boiler that is used for thermal energy production and electricity is provided from the power grid. From the diagram in Fig. 3 can be seen that TPFC achieves 2.3 times less emissions of CO2 and NOx. Table VI: TPFC emissions and specific emissions of CO2 и NOx CO2 NOx Emission factor Ef g/MJ 55.9 0.06 Emission E g/s 347.78 0.37 Specific emission e g/kWh 313.00 0.34 800.00 1.00 600.00 0.80 Emission Emission 0.60 400.00 0.40 200.00 0.20 0.00 0.00 TPFC Boiler and Grid TPFC Boiler and Grid Emission CO2 g/s 347.78 778.04 Emission NOx g/s 0.37 0.84 Fig.3: Comparison between TPFC and boiler on natural gas for production of thermal (heat) energy VI. CONCLUSIONS Based on what has been done it can be concluded that TPFC very practical can meet the electrical and thermal needs of a building, and always exists a chance of getting profit from the sale of surplus of electricity (presented example). These plants have a series of advantages:  Three-generation power plant with high-temperature fuel cells achieve very high efficiency about 67 %  Able to use any kind of fuel, and hydrogen  Able to install for different power and be used as an independent source for production of electrical and thermal energy for complex building  Fuel cells operate at constant parameters and uninterrupted supply the building with constant amount of electricity and heat  The current status of fuel cells provides a relatively long lifetime up to 70 000 h.  Emissions of pollutants is low, that they are environmentally friendly  Fuel cell works completely silently, because there are no rotation parts. REFERENCES [1]. Zeitz R., Energy Efficiency Handbook, CIBO, Burke Centre Parkway, VA, USA: Council of Industrial Boiler Owners, 1997. [2]. Boyce M., Handbook for Cogeneration and Combined Cycle Power Plant, Second Edition, USA: ASME - American Society of Mechanical Engineers, 2002. 51
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