The active power loop flow (APLF) may be caused by impropriate network configuration, impropriate parameter settings, and/or stochastic bus powers. The power flow controllers, e.g., the unified power flow controller (UPFC), may be the reason and the solution to the loop flows. In this paper, the critical existence condition of the APLF is newly integrated into the simultaneous power flow model for the system and UPFC. Compared with the existing method of alternatively solving the simultaneous power flow and sensitivity-based approaching to the critical existing condition, the integrated power flow needs less iterations and calculation time. Besides, with wind power fluctuation, the interval power flow (IPF) is introduced into the integrated power flow, and solved with the affine Krawcyzk iteration to make sure that the range of active power setting of the UPFC not yielding the APLF. Compared with Monte Carlo simulation, the IPF has the similar accuracy but less time.

有功功率环路流量（APLF）可能是由于网络配置不正确，参数设置不正确和/或总线功率随机引起的。功率流控制器，例如统一功率流控制器（UPFC），可能是原因，并且解决了环路问题。本文将APLF的临界存在条件重新集成到系统和UPFC的同时潮流模型中。与现有方法交替求解同时存在的潮流和基于灵敏度的方法来解决关键的现有条件相比，集成潮流需要更少的迭代和计算时间。此外，随着风电波动，将间隔潮流（IPF）引入到综合潮流中，并通过仿射Krawcyzk迭代求解，以确保UPFC的有功功率设置范围不会产生APLF。与蒙特卡洛模拟相比，IPF的精度相似，但时间更少。