To investigate the effect and ability of FACTS devices using Fast and Flexible Holomorphic Embedding technique (FFHE), it is necessary to develop an embedded system for these devices. Therefore, this paper presents FFHE based embedded system for STATCOM and UPFC. The embedded system is also proposed for their controlling modes.

The introduced embedded system for STATCOM and UPFC is flexible which allows to take any state as an initial guess instead of fixed state, which leads towards the reduced runtime and decrease the required number of terms, as compared to standard Holomorphic Embedded Load-Flow Method (HELM). To demonstrate the effectiveness and practicability, the proposed models of STATCOM and UPFC have been tested for several cases. Further, the developed recursive formulas for power balance equations, devices’ physical constraints and their controlling modes are thoroughly investigated and examined. From several tests, it is found that the proposed embedded system requires less execution time and reduce the error at higher rate.

为了研究使用快速灵活的全纯嵌入技术（FFHE）的 FACTS 设备的效果和能力，有必要为这些设备开发嵌入式系统。因此，本文介绍了基于 FFHE 的 STATCOM 和 UPFC 嵌入式系统。还提出了嵌入式系统的控制模式。

为 STATCOM 和 UPFC 引入的嵌入式系统是灵活的，它允许将任何状态作为初始猜测而不是固定状态，与标准的全纯嵌入式负载流方法相比，这导致运行时间减少并减少了所需的项数（舵）。为了证明其有效性和实用性，所提出的 STATCOM 和 UPFC 模型已经在多个案例中进行了测试。此外，对功率平衡方程、设备的物理约束及其控制模式的开发递归公式进行了彻底的研究和检查。从多次测试中发现，所提出的嵌入式系统需要更少的执行时间并以更高的速率减少错误。