A lattice Boltzmann method (LBM) 9-bit model is presented to solve mathematical-physical equations, such as, Laplace equation, Poisson equation, Wave equation and Burgers equation. The 9-bit model has been verified by several test cases. Numerical simulations, including 1D and 2D cases, of each problem are shown respectively. Comparisons are made between numerical predictions and analytic solutions or available numerical results from previous researchers. It turned out that the 9-bit model is computationally effective and accurate for all different mathematical-physical equations studied. The main benefits of the new model proposed is that it is faster than the previous existing models and has a better accuracy.
Efficient and reliable operation of Polymer Electrolyte Membrane (PEM) fuel cells are key requirements for their successful commercialization and application. The use of diagnostic techniques enables the achievement of these requirements. This paper focuses on model-based fault detection and isolation (FDI) for PEM fuel cell stack systems. The work consists in designing and selecting a subset of consistency relations such that a set of predefined faults can be detected and isolated. Despite a nonlinear model of the PEM fuel cell stack system will be used, consistency relations that are easily implemented by a variable back substitution method will be selected. The paper also shows the significance of structural models to solve diagnosis issues in complex systems.
Pialarissi Cavalaro, S.H.; Blom, C.; Walraven, J.; Aguado, A. Applied mathematical modelling Vol. 36, num. 9, p. 4422-4438 DOI: 10.1016/j.apm.2011.11.068 Data de publicació: 2011-11-23 Article en revista
This paper presents a digital control scheme for water level regulation in irrigation canals. The scheme considers a prototype canal composed by a series of pools connected with active gates. A control system is designed for each pool to manipulate the upstream gate to satisfy the downstream level setpoints. Each control system is composed by two controllers: one implements a discrete time predictive control law that gives the desired discharge through the gate to ensure the downstream desired level; another one is a local control driving the gate to achieve the desired discharge. The paper presents the formulation of the global control scheme and shows results from simulations to illustrate and discuss the performance in different operation scenarios.