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通过参量转化，将杂质速率方程转化为具有三角对称系数矩阵的矢量方程，并进行了数值求解，得到了托卡马克等离子体中常见轻杂质特征参量 随等离子体温度的变化曲线。计算结果显示，对常见的轻杂质如氦、碳、氧、氖及氩等在1eV～10keV温度范围内特征参量基本分布在1015～1019m-3•s数量级范围内；平均特征参量数值与核电荷数Z没有明确的函数关系；在曲线最后两个峰值处，相应杂质的平衡时间基本一致；当等离子体中杂质主要以类氦、类氖离子形态(具有闭合壳层形态离子)存在时，对应温度下特征参量曲线达到极小值。

Calculation of steady-state time for plasma impurity

Using the method of parameter transformation, the rate equations of impurities have been transformed to a vector equation with tri-diagonal symmetric coefficient matrix, and then solved numerically. Curves of characteristic parameter as function of electron temperature for a few typical light impurity in fusion plasma (such as helium, carbon, oxygen, neon and argon) have been obtained. Results show that values for the selected light impurities are within 1015～1019m-3•s, and average steady-state times have not explicit correlation with nuclear charge Z. The last two peak values for the corresponding impurities are similar, and the time required to reach steady state for the dominant helium-like and neon-like ions is relatively short.