针对电力系统在某些运行状态下无功优化的可行域为空，进而导致现代原对偶内点方法迭代发散的情况，通过引入同伦理论对无功优化不可行问题进行探测。算例表明，同伦内点算法在可行域存在时与传统的原对偶内点算法具有相近的计算复杂度，在无功优化不可行时则能有效进行不可行探测，具有一定的实用前景。

不存在

［1］ 刘明波，李健，吴捷.求解无功优化的非线性同伦内点法［J］.中国电机工程学报,2002,22(1).
［2］ Jabr R A, Coonick A H, Cory B J. A Study of the Homogeneous Algorithm for Dynamic Economic Dispatch with Network Constrain and Transmission Losses［J］. IEEE Transaction on Power System, 2000,15(2).
［3］ Jabr R A, Coonick A H. Homogeneous Interior Point for Const rained Power Scheduling［J］. IEE Proc-Gener Transm Distrib, 2000,147(4).
［4］ Goldman A J, Tucker A W. Theory of linear programming［A］. In: Kuhn H W ed. Linear Inequalities and Related Systems, New Jersey: Princeton University Press, 1956:53-97.
［5］ Andersen E D, Andersen K D. The MOSEK Interior-point Optimizer for Linear Programming:an Implementation of the Homogeneous Algorithm［A］. In: Frenk H ed. High Performance Optimization, 2000:197-232.
［6］ Xu X, Hung P F, Ye Y. A Simplified Homogeneous and Self-dual Linear Programming Algorithm and its Implementation［J］. Annals of Operations Research, 1996,62:151-171.
［7］Zsolt Darvay. New Interior Point Algorithms in Linear Programming［J］. Advanced Modeling and Optimization, 2003,5(1).
［8］ 张伯明,陈寿孙.高等电力网络分析［M］.北京:清华大学出版,1996.