Next Article in Journal
Iteration Scheme for Solving the System of Coupled Integro-Differential Equations for Excited and Ionized States of Molecular Systems
Previous Article in Journal
An EMD–SARIMA-Based Modeling Approach for Air Traffic Forecasting
Article Menu

Export Article

Open AccessArticle
Algorithms 2017, 10(4), 140; doi:10.3390/a10040140

Control-Oriented Models for SO Fuel Cells from the Angle of V&V: Analysis, Simplification Possibilities, Performance

1
Department of Electrical Engineering, Hochschule Wismar, University of Technology, Business and Design, 23966 Wismar, Germany
2
Chair of Mechatronics, University of Rostock, 18059 Rostock, Germany
3
Chair of Computer Graphics and Scientific Computing, University of Duisburg-Essen, 47048 Duisburg, Germany
*
Author to whom correspondence should be addressed.
Received: 23 October 2017 / Revised: 8 December 2017 / Accepted: 11 December 2017 / Published: 18 December 2017
View Full-Text   |   Download PDF [1249 KB, uploaded 19 December 2017]   |  

Abstract

In this paper, we take a look at the analysis and parameter identification for control-oriented, dynamic models for the thermal subsystem of solid oxide fuel cells (SOFC) from the systematized point of view of verification and validation (V&V). First, we give a possible classification of models according to their verification degree which depends, for example, on the kind of arithmetic used for both formulation and simulation. Typical SOFC models, consisting of several coupled differential equations for gas preheaters and the temperature distribution in the stack module, do not have analytical solutions because of spatial nonlinearity. Therefore, in the next part of the paper, we describe in detail two possible ways to simplify such models so that the underlying differential equations can be solved analytically while still being sufficiently accurate to serve as the basis for control synthesis. The simplifying assumption is to approximate the heat capacities of the gases by zero-order polynomials (or first-oder polynomials, respectively) in the temperature. In the last, application-oriented part of the paper, we identify the parameters of these models as well as compare their performance and their ability to reflect the reality with the corresponding characteristics of models in which the heat capacities are represented by quadratic polynomials (the usual case). For this purpose, the framework UniVerMeC (Unified Framework for Verified GeoMetric Computations) is used, which allows us to employ different kinds of arithmetics including the interval one. This latter possibility ensures a high level of reliability of simulations and of the subsequent validation. Besides, it helps to take into account bounded uncertainty in measurements. View Full-Text
Keywords: interval arithmetic; solid oxide fuel cells; UniVerMeC; global optimisation; verification; validation interval arithmetic; solid oxide fuel cells; UniVerMeC; global optimisation; verification; validation
Figures

Figure 1

This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

Scifeed alert for new publications

Never miss any articles matching your research from any publisher
  • Get alerts for new papers matching your research
  • Find out the new papers from selected authors
  • Updated daily for 49'000+ journals and 6000+ publishers
  • Define your Scifeed now

SciFeed Share & Cite This Article

MDPI and ACS Style

Auer, E.; Senkel, L.; Kiel, S.; Rauh, A. Control-Oriented Models for SO Fuel Cells from the Angle of V&V: Analysis, Simplification Possibilities, Performance. Algorithms 2017, 10, 140.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Related Articles

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Algorithms EISSN 1999-4893 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top