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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.

Formulation and Spectral Reduction of the Dynamical Model of a Circulating Fluidized Bed Combustor