Integrated Stochastic and Deterministic Sensitivity Analysis: Correlating Variability of Design Parameters with Cell and
Integrating stochastic and deterministic measures, this chapter carries out sensitivity analysis to correlate the variability of design parameters (including geometrical parameters, material properties, and physical parameters) with single-cell and stack
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Integrated Stochastic and Deterministic Sensitivity Analysis: Correlating Variability of Design Parameters with Cell and Stack Performance
6.1
Introduction
Integrating stochastic and deterministic measures, this chapter carries out sensitivity analysis to correlate the variability of design parameters (including geometrical parameters, material properties, and physical parameters) with single-cell and stack performances in Sects. 6.2 and 6.3, respectively. The reduced cell and stack models developed in the previous chapter for the P-SOFC are applied here in the Monte Carlo simulation (MCS) for the sensitivity analysis. Apart from only one parameter is varied at a time (i.e., conventional “one-variable-at-a-time” test), more than one parameter are varied simultaneously in the parametric study, such that the present approach enables designers to assess not only the individual but also interactive effects of the modelling parameters.
6.2
Monte Carlo Simulation of a P-SOFC Single Cell
In this section, Monte Carlo simulation (MCS) of a quasi-3D asymptotic spatially-smoothed isothermal (ASSI) cell model for the P-SOFC is conducted to analyse the effects of the variability of material properties, geometrical parameters, and operating conditions on the global and local performances of a P-SOFC. Section 6.2.1 introduces the quasi-3D ASSI model describing the leading-order physics in the PEN (positive electrode-electrolyte-negative electrode) structure and interconnects (consisting of plain channels surrounded by solid ribs) of the 3D P-SOFC, which is obtained by coupling the 2D ASSI single-cell model developed
© Springer International Publishing Switzerland 2017 Z. He et al., Reduced Modelling of Planar Fuel Cells, DOI 10.1007/978-3-319-42646-4_6
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6 Integrated Stochastic and Deterministic Sensitivity Analysis …
in Sect. 5.2 with the variation factor developed in Sect. 5.3.1. The MCS is elucidated in Sect. 6.2.2, followed by a description of numerical implementation in Sect. 6.2.3. Section 6.2.4 presents the statistical results of the MCS and analyses the sensitivity of the global cell output and the average and spanwise variations of local dependent variables with respect to the varying parameters.
6.2.1
Quasi-3D Asymptotic Spatially-Smoothed Isothermal (ASSI) Single-Cell Model
The 3D P-SOFC single cell developed and validated in Sect. 3.3 is considered in this section under an isothermal condition. The cell structure is repetitive and symmetric, so that the cell performance is represented by a repeating unit that consists of two interconnects (ic), a pair of air and fuel flow channels (fc), two porous backing layers (bl),two reaction zone layers (rl), and a solid electrolyte (el), as shown in Fig. 3.4c. Moreover, only half of the repeating unit is considered here for modelling associated with symmetry boundary conditions at the cross section A-A. The air and fuel are supplied to the cell in a co-flow configuration. Steady-state conservation equations for weakly-compressible momentum, mass, gaseous spec
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