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Dynamic Analyses and Control

Dynamic Analyses and Control

Fuel Processors

Project Goals

Background

Dynamic Simulation Approach

Modular Approach:
Individual simulation modules for each fuel cell type

  • Tubular SOFC
  • Planar SOFC
  • MCFC
  • PEM

Reformer module
Gas turbine module (compressor and turbine sub-modules)
Catalytic oxidizer Combustor module
Heat exchanger module
Humidifier module
Condenser module
Pumps, valves, regulators, plumbing, and other balance of plant (BOP)

Standardized Framework For Dynamic Modeling & Controls

  • Collaboration between Control group (Prof. F. Jabbari) and Dynamic Simulation (Prof. S. Samuelsen, J. Brouwer, …)
  • MATLAB and SimulinkTM Framework Chosen
  • User friendly package by MathWorks (Matlab)
  • Flexibility
    • Prepackaged modules
    • Object oriented
    • Easy to learn and use
    • Hardware extensible
    • Transferable to other software
  • Natural for adding controls development and power electronics

Previous Module Development

Reformer, SOFC, MCFC, PEM, Gas Turbine

General Model Assumptions

  • 1D process flow
  • Well-stirred within nodal volume
  • Slow pressure transients

Fuel Cell Assumptions

  • H2 electrochemically oxidized only
  • CO consumed via water-gas shift
  • Shift always at equilibrium (constraint)
  • Equipotential: Vcell = Vnode 1 = Vnode n

Dynamic Model Basic Equations

Equation of State

Equation of State figure

Mass Conservation Equations

Mass Conservation equations

Calculates changes in mole fraction based on inlet molar flows and reaction rates

Dynamic Model Basic Equations

Energy Conservation

  • Gaseous

Dynamic Model Basic Equations for Energy Conservation: Gaseous equation


  • Solid
Energy Conservation equation for Solid

Heat Transfer

Conduction

Convection

Radiation

Planar Nodal SOFC Heat Transfer Resistances

 

Planar Nodal SOFC Heat Transfer Resistances figure

 

Solid Oxide Fuel Cell Electrochemistry

SOFC Electrochemistry figure

Steam Reformation – Occurs in Reformer and Fuel Cells

Methane reformation reaction

Methan reformation reaction figure

Water Gas Shift – Occurs in Reformers and in Fuel Cells

Shift reaction

Shift Reaction figure

Fuel Cell Operation

Actual operating voltage

Fuel Cell Operation figure

PSOFC DISCRETIZATION

  • 10 Discrete Computational Nodes
  • Anode Gas
  • Cathode Gas
  • Cell Solid
  • Bi-Polar Plate

PSOFC discretization figure

Sample TSOFC Outputs: 10% Load Increase

TSOFC outputs figure

Progress & Current Status

Jet Fuel Equilibrium Results

  • Various Jet Fuel thermodynamic data acquired
  • Commercial Aviation Fuel, Jet-A
    • C11H21
    • MW: 153 g/mol
    • Heat of formation (DHfo): -249 kJ/mol
  • Traditional Air Force Military Aviation Fuel, JP-4
    • C10H19.4
    • MW: 139 g/mol
    • Heat of formation (DHfo): -227 kJ/mol
  • Traditional Navy Military Aviation Fuel, JP-5
    • C10H19.2
    • MW: 139 g/mol
    • Heat of formation (DHfo): -222 kJ/mol
  • Standard Military Aviation Fuel, JP-8
    • C12H23
    • MW: 167 g/mol
    • Heat of formation (DHfo): -319 kJ/mol

Jet-Fuel-Equilibrium-Results-graph 1

 

Jet-Fuel-Equilibrium-Results-graph 2

Effects of S/C

Effects of S/C graph

Effects of O/C

Effects of O/C figure

Jet Fuel Equilibrium Results – Partial Oxidation

Jet Fuel Equilibrium Results figure

New Module Development

Reaction Mechanism Need and Approaches

Must incorporate dynamic equations

Main module development need is for the overall geometry of the NuElement Module

Reformation Kinetics

Reformer Geometry figure

Six Step Reaction Mechanism figure

New Module Development

Reaction Equilibrium Constants figure

Reformer Dynamic Simulation Results – S/C 1.0 -  1.5

Reformer Dynamic Simulation Results – S/C 1.0 -  1.5

Reformer Dynamic Simulation Results – O/C 0.25 -  0.5

Reformer Dynamic Simulation Results – O/C 0.25 - 0.5

Reformer Dynamic Simulation Results – Catalyst “light off”

 

Conclusions

Personnel

Investigators:  J. Brouwer, and G.S. Samuelsen
Students: Li Yuan, Fabian Mueller, Anh-Tuan Do

Sponsors

Nu Element, Inc.

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