This work aimed to mathematically model the glass transition temperature (Tg), one of the most important parameters regarding the behavior of slag, responsible for the sudden change in thermomechanical properties of non-crystalline materials, by the chemical composition of the SiO2-Na2O-CaO system, widely applicable in the production of glasses and constituent of iron, magnesium and aluminum metallurgy slags. The SciGlass database was used to provide data for mathematical modeling through the Python programming language, using the method of least squares. A new equation was established, called P Model, and it presented a lower mean absolute error and lower standard deviation of absolute errors in relation to 3 equations in the literature. The raised equation provides significant results in the mathematical modeling of Tg by the chemical system SiO2-Na2O-CaO, valid for the limits of the data used in the mathematical modeling.

翻译：本研究旨在通过$SiO_2-Na_2O-CaO$体系的化学成分，对玻璃化转变温度（Tg）进行数学建模。Tg是描述渣行为最重要的参数之一，它决定了非晶态材料热机械性能的突变。该体系广泛用于玻璃生产，且是铁、镁、铝冶金炉渣的组成部分。采用SciGlass数据库提供数据，通过Python编程语言并运用最小二乘法进行数学建模。建立了一个新方程，称为P Model，其平均绝对误差和绝对误差标准差均低于文献中3个方程。所提出的方程在通过$SiO_2-Na_2O-CaO$化学体系对Tg进行数学建模时提供了显著结果，且适用于数学建模所用数据的范围限制。