中文摘要：

考虑暂态稳定约束的最优潮流是一个复杂的非线性优化问题。在基于时域仿真的内点法求解过程中,通常将暂态微分方程差分化并作为该问题的附加等式约束,容易出现维数灾。针对上述不足,提出了一种求解暂态稳定约束最优潮流的降阶内点算法。该算法考虑到差分方法的截断误差,将暂态方程差分为与差分法精度相关的不等式约束,大大降低了内点法中修正方程组的阶数。对多个算例的测试结果显示,该方法与常规方式相比,消耗的计算时间和内存更少,能够对更大规模的电力系统进行求解。

英文摘要：

Transient stability constrained optimal power flow is a complex nonlinear optimization problem. In the interior point method solution based on time domain simulation, transient differential equations are generally discretized and considered as additional equality constraints, which will easily suffer from the curse of dimensionality. Aiming at the deficiencies, an order- reduced interior point algorithm is developed. Taking the truncation error of specific discretization method into account, the proposed algorithm discretizes the transient equations into difference precision related inequality constraints and greatly reduces the order of correction equations in interior point method. Test results on several cases indicate that the proposed algorithm consumes much less time and memory compared with conventional approach, and it has the potential to deal with larger power systems.