Solid oxide fuel cell with proton-conducting electrolyte is a clean and efficient device for electricity generation. This kind of electrolyte exhibits both protonic and hole conductivities at intermediate temperature. The former one is necessary, while the latter one would cause leakage current and loss of output voltage. The electrolyte hole conductivity is a major concern due to its remarkable impact on the cell capacity. Hereby, a practical model is proposed to evaluate the effective hole conductivity of the working cell. Compared with previous models, conductivity distribution in the electrolyte is fully considered, which makes this model more applicable to a variety of working conditions. Furthermore, by accounting for leakage current, conductivity distribution within the electrolyte as well as involved polarizations, a comprehensive model for predicting cell output is developed. In the aspect of experiment, cell samples with different electrolyte thicknesses are fabricated, and are served as illustrative cases to examine our model. The calculated output voltages accord with our experiments. Meanwhile, impacts of operating conditions on both electrolyte conductivities and electric energy utility are quantified by our model. Our model is helpful to the cell designer when predicting cell capacity and its proper working conditions.

具有质子传导电解质的固体氧化物燃料电池是一种清洁高效的发电装置。这种电解质在中间温度下既显示质子电导率又显示空穴电导率。前者是必要的，而后者将导致泄漏电流和输出电压损失。电解质空穴电导率由于对电池容量的显着影响而成为主要问题。因此，提出了一种实用模型来评估工作单元的有效空穴电导率。与以前的模型相比，充分考虑了电解质中的电导率分布，这使该模型更适用于各种工作条件。此外，通过考虑泄漏电流，电解质内的电导率分布以及所涉及的极化，开发了用于预测细胞产量的综合模型。在实验方面，制作了具有不同电解质厚度的电池样品，并作为说明我们的模型的实例。计算出的输出电压符合我们的实验。同时，我们的模型量化了操作条件对电解质电导率和电能利用率的影响。当预测电池容量及其适当的工作条件时，我们的模型对电池设计者很有帮助。我们的模型量化了操作条件对电解质电导率和电能效用的影响。当预测电池容量及其适当的工作条件时，我们的模型对电池设计者很有帮助。我们的模型量化了操作条件对电解质电导率和电能效用的影响。当预测电池容量及其适当的工作条件时，我们的模型对电池设计者很有帮助。