气冷引线热平衡方程的求解方法

SOLVING PROCESS OF THE HEAT BALANCE EQUATION FOR GAS COOLED CURRENT LEADS

给出了在气冷引线最佳化问题中求解热平衡方程的方法。在寻求终解的过程中 ,既要解决诸多参量中包含非独立参量的问题 ,又要解决特解表达式的定义域中既有自变量又有因变量的问题 ,还要解决多解函数中确定真解定义域的问题。上述问题的解决为最终求出引线温度分布并解决引线最佳化问题奠定了基础。

The solution of the heat balance equation for gas cooled current leads is presented. In the process of searching for the final solution, the functional relation of the dependent parameter to the independent parameters must be obtained first. Then, the domains of definition for the parametric equations should be turned to the form containing only independent variables, instead of that including dependent variables as well as independent variables. Moreover, in the existential range of the all solutions for the parametric equations, the part in which the trivial solutions exist should be determined and excluded from consideration. Only when the analysis above is done, could one calculate the temperature distribution and solve the optimization problem for the current leads.Details of soluting these problems are given and discussed. [