基于设计变量重构的干式空心电抗器优化设计方法

在深入分析干式空心电抗器优化设计模型的基础上，提出一种基于设计变量重构的干式空心电抗器优化设计方法。该算法通过构造一组线性方程，得到了由重构设计变量到原设计变量的映射关系，使优化设计的变量由原来的m + n + 2个减少到4个，并将有等式约束优化问题转换成降维的无等式约束优化问题。在实际的优化设计中，先利用遍历算法对重构的设计变量进行寻优，然后应用由重构设计变量到原设计变量的映射关系就即可求得原设计变量的最优值。此外，在保持重构的设计变量不变的前提下，针对一次设计结果存在的缺陷，提出通过微调设计参数使电抗器的整体性能达到最优的方法。优化设计实践表明，基于设计变量重构的优化设计方法具有计算速度快、效率高、需要的人工干预少等优点。

Optimum Design of Dry-type Air-core Reactor Based on Design Variable Reconstruction

According to the optimum design model, a new algorithm based on design variable reconstruction is proposed for solving nonlinear constrained optimization, which can be used in the optimum design of dry-type air-core reactor. This algorithm constructs a set of linear equations. As a result, the relation of the reconstructed design variables and the original design variables is derived, the variable number of optimum design is decreased from m + n + 2 to 4, and the equality constraint optimization problem is converted into reduced- dimension no equality constraint optimization problem. In practical design, the proposed algorithm can be implemented by firstly using the traversal algorithm to make an optimization of the reconstructed design variables and then obtaining optimum value of the original design variables based on the relation of the reconstructed design variables and the original design variables. Moreover, on the premise of reconstructed design variables remaining constraint, a method of optimizing the reactor performance is proposed by fine tuning design parameters, and it makes up the defect of primary design results. Finally, a calculation example is carried out and the results show that the algorithm proposed has the advantages of quick calculation, high efficiency and minimal manual intervention.