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在所定义的当量长度与当量周期的基础上，采用数值方法与矩阵理论建立空气预热器的线性数学模型来研究动态特性及稳态温度分布情况，得出工质的阶跃曲线，并指出当量周期步长及当量长度步长的比值决定能否收敛，而收敛速度的快慢则与矩阵的主特征值有关。
On the basis of the equivalent length and equivalence period defined, the mathematical model of air preheater was established by numerical method and matrix theory to study the dynamic characteristics and the steady-state temperature distribution, and the step-by-step curve of working fluid was obtained. The ratio of equivalent periodic steps and equivalent length steps determines whether convergence can occur, while the convergence speed is related to the main eigenvalues of the matrix.