Formulation and Spectral Reduction of the Dynamical Model of a Circulating Fluidized Bed Combustor
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Katarzyna Bizon
The distributed dynamic model of a circulating fluidized bed combustor in isothermal operation is developed and proposed, consisting of four 1–D evolutionary partial differential equations and relevant boundary and initial conditions. The continuum model is then approximated by a finite–difference method to provide a "reference" solution. Then, proper orthogonal decomposition with Galerkin projection is introduced to derive a reduced order model. The POD modes are then tested in the low-order reconstruction of space profiles of the state variables at different times, during the transient and at steady-state. POD–based models prove to be effective, being able to reproduce steady–state with four basis functions. Quantitative accuracy even during the early transient stage is achieved with as little as 24 modes.
©2011 Walter de Gruyter GmbH & Co. KG, Berlin/Boston
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Articles in the same Issue
- Article
- Process Modeling & Control: A Special Issue of Chemical Product & Process Modeling
- Determination of Kinetic and Stoichiometric Parameters of Pseudomonas putida F1 by Chemostat and In Situ Pulse Respirometry
- Exponential Observer Design for State Estimation in a Class of Anaerobic Sulfate Reducing Bioreactor
- From Reacting to Predicting Technologies: A Novel Performance Monitoring Technique Based on Detailed Dynamic Models
- Nonlinear Analysis of Heterogeneous Model for an Industrial Ammonia Reactor
- Iterative Design of Dynamic Experiments in Modeling for Optimization of Innovative Bioprocesses
- Dynamic Process and Accident Simulations as Tools to Prevent Industrial Accidents
- Modeling Disturbance Dynamics to Improve Controller Performance in Industrial Loops
- On the Design of an In-Line Control System for a Vial Freeze-Drying Process: The Role of Chamber Pressure
- A Takagi-Sugeno Fuzzy Dynamic Model of a Concentric-Tubes Heat Exchanger
- Design of Dynamics of a Recuperative Catalytic Combustor: Enhancement in Operation and Control
- Formulation and Spectral Reduction of the Dynamical Model of a Circulating Fluidized Bed Combustor
