摘要
为了有效地进行非线性过程优化分析 ,从优化问题的 Kuhn- Tucker条件出发 ,采用 Newton- Raphson迭代方法建立了非线性优化问题的求解方案。并结合高温循环载荷作用下运行过程优化的特点 ,提出了一个新的考虑活动约束集的非线性优化求解方法。对于其中的非线性约束采用活动约束集的概念 ,而对于线性边界约束 ,则按约束优化方法中的梯度投影法作专门处理。实际算例表明 ,采用该算法一方面可以大大减少约束函数的数目 。
Based on the Kuhn Tucker condition the Newton Raphson iteration method was used to solve the nonlinear optimization. Considering the characteristics of the operating process optimization for high temperature cyclic loads a new method was developed to solve the nonlinear optimization problem. The active constraint set was introduced in the nonlinear constraints of the optimization, meanwhile the project gradient method was used to treat the linear boundary constraints. Examples show that the number of constraint functions is greatly reduced using this method and the convergence is guaranteed.
出处
《清华大学学报(自然科学版)》
EI
CAS
CSCD
北大核心
2001年第2期64-67,共4页
Journal of Tsinghua University(Science and Technology)
基金
国家自然科学基金资助项目!(5 96 75 0 2 4)