Regularization of the degradation behavior and working zone of proton exchange membrane fuel cells with a five-constant ideal cell as prototype

This paper is to outline the working zone (the correlative assembly of all the practical steady-state operating points under all affordable constant power loads) of proton exchange membrane (PEM) fuel cells in united form. For this purpose, an ideal cell model is proposed to regularize the degradation behavior of real cells, and a load-oriented cell lifetime endpoint definition is made to reveal two forms of cell lifetime. As derived, the working zone of any cell is an enclosed region by three boundaries: one part of the initial steady-state polarization (SSP) curve, the lifetime end-curve and the zero current density line; and the ideal cell has three distinct shapes of working zone of the simplest expressions of lifetime end-curve. Practical data well support the ideal cell as a good prototype for the regularization, and thus the working zone of real cells can be approximately but uniformly and concisely outlined, with the boundaries characterized with five cell constants including two initial SSP constants, two degradation constants and the absolute lifetime.