基于三步隐式Adams法的暂态稳定约束最优潮流模型

摘要

Transient stability constrained optimal power flow （TSCOPF） suffers from the curse of dimensionality as well as unacceptable computational cost and memory consumption. A multi-step integration method is proposed to discrete the swing equations of generators. The TSCOPF model based on the three-step implicit Adams method is established. The Adams method used is with fourth order accuracy, big step size and simple structure which is easy to be implemented. In order to guaranty the robustness of the algorithm, improve the computational efficiency and reduce the memory usage, the combination of reducedspace approach with primal-dual interior point method is used to solve the problem. Numerical simulations on the five systems from 9 to 300 buses show that the proposed method can improve the computing speed to more than five times and thus make the proposed method suitable for online applications.%基于时域仿真的暂态稳定约束最优潮流问题存在方程规模庞大、计算时间长、内存消耗大等问题。为此，提出了多步积分格式的差分转子运动方程，建立了基于三步隐式Adams法的暂态稳定约束最优潮流模型。采用的Adams法具有四阶精度，可采用大步长进行数值积分，且结构简单、易于实现。为保证算法的鲁棒性，提高计算效率、降低内存消耗，采用了原始一对偶内点法与减空间法相结合的减空间内点法。对9至300节点等5个系统的计算结果表明，所提出的方法在相同精度的情况下，与隐式梯形减空间法相比，可提高计算速度5倍以上，已接近在线应用的水平。