Estimation of hydrogen production rate and the total amount hydrogen during any reaction process require an accurate and concise dynamic model to describe the variation of hydrogen production rate with reaction time. There must be two comprehensive features of such model, the first one is that the hydrogen production rate calculated by this model is zero at the initial time is zero and the second one is that the integration of this model over time result in an explicit function. In this paper, we present a comprehensive model which meets above two requirements via amendments to the shifted logistic model. The model is validated against measured results through comparison of 25 experimental and theoretical hydrogen production rate. The experimentally validated model is used to calculate the total amount hydrogen during each reaction process. The impact of some experimental conditions on the total hydrogen production was mathematically explained for the first time, and this result reveal the excellent predictive ability of framework suggested in this paper. In addition, that is for an experimental condition history, predictions are achieved by developing a set of “secondary models” that describe some experimental conditions dependence of the “primary models” parameters. The method to obtain the parameters in “secondary models” described in this paper indicated that another major departure from the conventional models is the notion that the “secondary models” do not need to follow any preconceived formula and that they can be derived solely from the observed growth patterns. The presented framework can help the hydrogen production industry.

任何反应过程中产氢速率和氢气总量的估计都需要准确而简洁的动态模型来描述产氢速率随反应时间的变化。这种模型必须有两个综合特征，第一个是该模型计算的氢产率在初始时间为零，第二个是该模型随时间的积分导致显式函数。在本文中，我们通过对转移逻辑模型的修正，提出了一个满足上述两个要求的综合模型。通过比较 25 个实验和理论产氢速率，该模型针对测量结果进行了验证。实验验证的模型用于计算每个反应过程中的氢气总量。首次从数学上解释了一些实验条件对总产氢量的影响，这一结果揭示了本文提出的框架的优良预测能力。此外，对于实验条件历史，预测是通过开发一组“次要模型”来实现的，这些“次要模型”描述了“主要模型”参数的一些实验条件依赖性。本文描述的“二次模型”参数的获取方法表明，与传统模型的另一个主要区别是“二次模型”不需要遵循任何先入为主的公式，它们可以仅从模型中推导出来。观察到的生长模式。所提出的框架可以帮助制氢行业。