求解无功优化的非线性同伦内点法

在无功优化计算中，由于严格的节点电压限制，网络拓扑的变化或无功电源的不足等多种原因可能会导致原问题不存在最优解。采用常规的优化方法或内点方法还不能有交地检测出这种不可行问题。该文基于非线性同伦内点法提出了检测无功优化不可行问题的新算法，该算法不仅能在原问题有解的情况下求出近似的最优解，而且能通过同伦变量的值快速并准确地判别出原问题是否出现了不可行情况，并以IEEE30节点系统为试验系统，对采用非线性同伦内点法的优化计算结果的正确性与检测优化计算中出现的不可行问题的有效性进行了验证。

NONLINEAR HOMOGENEOUS INTERIOR-POINT METHOD FOR REACTIVE-POWER OPTIMIZATION

In reactive power optimization,the solution infeasibility may arise due to a variety of reasons such as restrictive voltage limits,change in network topology,and shortage of reactive power sources.However,the conventional optimization methods and interior point methods can not detect effectively this infeasibility problem.This paper presents new algorithm for detecting the solution infeasiblity in reactive power optimization calculation based on nonlinear homogeneous interior point method.This algorithm can give either an approximation optimum solution or detect possible infeasibility or unboundedness in optimization process according to the value of homogeneous variables.Also,the proposed method has been validated on IEEE 30 bus test system for the feasibility and infeasibility cases respectively.