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Order reduction of a distributed parameter PEM fuel cell anode gas channel model
Sarmiento Carnevali, María Laura; Batlle Arnau, Carles; Massana Hugas, Immaculada; Serra, Maria
Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada IV; Universitat Politècnica de Catalunya. Departament d'Enginyeria de Sistemes, Automàtica i Informàtica Industrial; Universitat Politècnica de Catalunya. ACES - Control Avançat de Sistemes d´Energia
Distributed parameter modeling is required to accurately consider space variations, which are important regarding the performance and durability of the Proton Exchange Membrane Fuel Cells (PEMFC) [1-3]. However, the number of differential and algebraic equations (DAE) obtained from the discretization of a set of partial differential equations (PDE) is very large, and this not only slows down the numerical simulations, but also complicates the design of online model-based controllers. The inclusion of complex DAE models within model-based control schemes requires a previous simplification. A method to simplify complex models consists of reducing the order while preserving the relationship between certain input and output variables, determined from the control objectives. These Model Order Reduction (MOR) techniques have been extended to DAE systems [4]. This work focuses on obtaining an order reduced model, from a PEMFC anode gas channel PDE model, which incorporates the effects of distributed parameters that are relevant for the proper functioning and performance of PEMFC. The original model is an in-house MATLAB® code, flexible enough to manipulate the underlying model equations and apply MOR techniques. The obtained order-reduced model is suitable to perform numerical simulations and design efficient controllers for the original nonlinear PDE model.
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica
Proton exchange membrane fuel cells
Fuel cells
Mathematical models
controllability
mathematical programming
observability
power system control Author keywords: PEMFC
model order reduction
distributed parameter modeling
Anàlisi numèrica
Piles de combustible
Hidrògen com a combustible
Attribution-NonCommercial-NoDerivs 3.0 Spain
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
info:eu-repo/semantics/publishedVersion
info:eu-repo/semantics/conferenceObject
         

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