基于内点法的电力系统最大输电能力计算

针对电力系统最大输电能力问题,选用最优化方法,将其转化为以系统输电能力最大为目标函数,同时满足一系列等式和不等式约束条件的最优化问题。运用模糊集理论将反映系统运行限制的可伸缩不等式约束模糊化,使之能够越限在允许范围内,然后采用原始-对偶内点法求解。对IEEE14节点系统的仿真计算结果表明,允许适当越限的模糊不等式的引入,能够获得较一般优化方法更大的最大输电能力,并且随着系统允许越限量的增大,最大输电能力也不断增大。所提方法不仅能够在不增加计算量的基础上快速求解,而且能够使待求问题在更加符合实际情况的基础上实现了最优化,满足了安全性与经济性的双重要求,具有一定的应用价值。

Power System Total Transfer Capacity Calculation Based on Interior Point Method

Power system total transfer capacity(TTC) problem,which is transferred to a optimization problem with the largest TTC as a object function and a series of equation and inequation constraints,is solved in this paper by primal-dual path following interior point algorithm.The soft constraints are handled with fuzzy sets theory.The results of simulation of IEEE 14-bus system prove that with the fuzzy constraints,the larger TTC can be gotten,and optimization of the TTC problem with this algorithm could be more applicable and effective than those already exist,which satisfies the security and economy at the same time.