1. Introduction

This chapter provides an introduction to the problem of solid oxide fuel cells modeling. A brief review of the industrial context with emphasis on the role of model-based approaches in supporting the development of systems for large-scale diffusion is given. Also the benefits of integrating different methodologies through the merging of models, experiments, and applied mathematics are briefly reported. Thus a conceptual framework for scientists, engineers, and practitioners primarily engaged in the design of both control and diagnostic algorithms is sketched. Moreover, such a framework is also a reference for all modelers whose work entails an accurate balance between accuracy and computational speed. Therefore, all engineering activities involving system design, component sizing as well as prognostic algorithms for lifetime prediction may also benefit from the modeling approaches outlined. A literature survey is reported at the end of the chapter; that section is thought to acknowledge the most relevant works whose topics fall within the boundaries of model-based applications, which inspired this book.