We present a novel approach for the initialization of nonlinear and non-convex algebraic equation systems. The method reduces the solution space spanned by initial variable bounds through a box consistency test and removes its discontinuities. Subsequently, a numerical solver is started from the midpoint(s) of the reduced search space to find all problem solutions. The proposed approach is applied on three different examples related to chemical engineering processes with the dimensions of 3, 28 and 95. While the method already solves the smallest example, it provides good initial points for the other two in the order of a few minutes based on simple initial bound selections.

我们提出了一种新颖的方法来初始化非线性和非凸代数方程组。该方法通过盒一致性测试来减少初始变量范围所覆盖的解空间，并消除其不连续性。随后，从缩小的搜索空间的中点启动数值解算器，以找到所有问题解。所建议的方法适用于与化学工程过程有关的三个不同的示例，其尺寸分别为3、28和95。尽管该方法已经解决了最小的示例，但基于几分钟的时间，它为其他两个示例提供了良好的初始点。简单的初始边界选择。