基于零空间的现代内点最优潮流新算法

New Algorithm of Interior Point Optimal Power Flow Based on Null Space

在约束条件苛刻时,现代内点法求解电力系统最优潮流OPF问题有时不收敛,为克服此不足,本文提出一种求解OPF问题的零空间内点算法。首先分析了现代内点法不收敛的原因;然后通过改进的原始对偶变量的修正方法和终止准则来保证迭代点的最优性和不等式约束的互补性;最后将所提方法用于求解5个IEEE标准算例。数值结果表明,所提算法与现代内点法求解OPF问题的结果一致,在约束条件苛刻时,本文算法具有更好的收敛性。

When the constraints are severe,the interior point method for optimal power flow（OPF）may be divergent.To overcome this weakness,a null space interior point method is presented for OPF.First,the reason of the divergence is analyzed.Then,the optimality of the iteration points and the complementarity of inequality constraints are guaranteed according to the improved termination criterions and correction methods of the original dual variables.At last,the proposed method is used to solve five IEEE standard test problems.Numerical results show that the proposed method can get the same results as interior point method.When constraints are severe,the presented algorithm has better convergence.