This paper presents a model-based analysis of a proton exchange membrane fuel cell (PEMFC) with a planar design for the power supply of portable applications. The cell is operated with hydrogen and it consists of an open cathode side allowing for passive, self-breathing operation. This planar fuel cell is fabricated using printed circuit board (PCB) technology. Long-term stability of this type of fuel cell has been demonstrated. A stationary, two-dimensional, isothermal, mathematical model of the planar fuel cell is developed. Fickian diffusion of the gaseous components (O2, H2, H2O) in the gas diffusion layers and the catalyst layers is accounted for. Transport of water is considered in the gaseous phase only. The electrochemical reactions...