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Application Domain. The Energy Problem: Growing world demand and diminishing supply Efficient, large scale (> 1MW) power production is a necessity Environmentally responsible solutions are also a necessity. Potential Solutions Renewable resources and technologies (wind, solar, bio-mass, etc.)
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Application Domain • The Energy Problem: Growing world demand and diminishing supply • Efficient, large scale (> 1MW) power production is a necessity • Environmentally responsible solutions are also a necessity. • Potential Solutions • Renewable resources and technologies (wind, solar, bio-mass, etc.) • Efficiency/conservation measures • Demand Side: End use conservation • Supply Side: Exploitation of by-product heat • Advanced power cycles • Cogeneration of Steam (by-product heat used for process heating) • Combined Cycle (gas turbine topping cycle, steam bottoming cycle) • Integrated Gasification Combined Cycle • Solid Oxide Fuel Cell/Gas Turbine (SOFC/GT) Hybrids
SOFC Basics • SOFC Operation:Electrochemical oxidation of hydrogen and reduction of oxygen generates electrical current for an external load. • SOFC General Benefits • Direct conversion of chemical energy to electrical • High temperature operation (800-1000°C) • High quality by-product heat, and enhanced chemical kinetics • Reduces the need for expensive catalysts. • Reduced greenhouse gas emissions and criteria pollutants (e.g. NOxor SOx) • Internal reformation at high temperatures allows for broader fuel options.
SOFC/GT Hybrids • Operational Basics • Air stream to SOFC pressurized by compressor and preheated by recuperative heat exchanger • High temperature SOFC exhaust expanded through turbine for power generation • Combustion of unutilized fuel in exhaust can boost power produced by turbine • Benefits • High efficiency (η> 60%) • Common combined cycle plants η~ 50% maximum • Lowered emissions for criteria pollutants • Depending on fuel carbon dioxide can be eliminated or at least sequestered
Design Decision • By-product heat provides cogeneration/bottoming cycle opportunities • Recuperative heat exchanger enhances SOFC/GT cycle performance • The Catch: Increasing recuperator heat transfer decreases the quantity and quality of by-product heat. • Quality is used in the thermodynamic sense, i.e. the “usefulness” of heat. • Primary Questions • How much recuperator heat transfer? • How large of a fuel cell? • What are the priorities? Total power? Cogeneration?
Recuperator Heat Transfer Size of Fuel Cell Heat Rejected Turbine Power SOFC Power Turbine Inlet Temp Additional Power Potential Total Power Influence Diagram
Brayton Cycle Performance • Results of increasing heat exchanger heat transfer • Higher turbine work output • Lower recuperator exit enthalpy, i.e. lower quality heat • Lower heat rejection • Trade-off between SOFC/GT power and cogeneration
SOFC/GT performance under uncertainty • Mass flow rate dominates turbine output power • Turbine output normally distributed m_fuel Heat_xfer Anode_Temp Main Effects: Turbine Power (W) Turbine output distribution
Challenges • Dymola • Understanding ThermoTech files • Building components • Building the model • High Level doesn’t work • Use of Examples • Model Center • Arena • Maximum Estimation Likelihood
Dymola • TechThermo • Not completely developed • Doesn’t follow exact thermodynamic properties • Thermodynamic logic of library convoluted • Lots of Component-Icon-Models (CIM) • Empty containers • Can require extensive coding
Dymola • Building Components • Finding relevant equations • Learning the code • Debugging
Model Building • Started at a High Level • Too much too fast • Singularity problems • Needed to target specific areas
Model Building • Success • Started small • Evaluated each individual component • Combined smaller “blocks” • Built components as needed Recuperator (built from CIM) Standard Brayton Cycle Recuperated Brayton Cycle
Model Center • Arena • Limited knowledge of software • Not sure how to fit it in • Elicitation of Beliefs • Hard to grasp the mathematical concept • ZunZun to the rescue