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矿井通风系统的方程是一组非线性方程,寻求解析解不可能,采用迭代法求解,从数学上来说这个过程特别复杂,该方法的解收敛性、稳定性分析不透,很难保证解算的正确、收敛、稳定。有的文献从非线性规划理论出发,提出将非线性方程组全部化为统一的式子,从而将求解方程组的问题转化为有约束或无约束的函数的极值优化问题。笔者借助于计算机和数学工具,找到一种直接算法。这种算法的特点是避免了迭代法中解不收敛和不稳定的问题,算法直观,编程容易。
The equation of mine ventilation system is a set of nonlinear equations. It is not feasible to seek analytic solution, and it is solved iteratively. The process is mathematically complex. The convergence and stability analysis of this method are not transparent, The correct, convergence, stability. Some documents start from the theory of nonlinear programming and propose that all the nonlinear equations be unified into one unified formula, so that the problem of solving equations can be transformed into the extreme optimization problem of constrained or unconstrained functions. I use the help of computer and mathematical tools to find a direct algorithm. The characteristic of this algorithm is to avoid the problem of non-convergence and instability in the iterative method. The algorithm is intuitive and easy to program.