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To investigate the effect and ability of FACTS devices using the Fast andFlexible Holomorphic Embedding technique (FFHE), it is necessary to develop anembedded system for these devices. Therefore, this paper presents FFHE basedembedded system for STATCOM and UPFC. The embedded system is also proposed fortheir controlling modes. The introduced embedded system for STATCOM and UPFC isflexible which allows to take any state as an initial guess instead of fixedstate, which leads towards the reduced runtime and decreases the requirednumber of terms, as compared to the standard Holomorphic Embedded Load-Flowmethod (HELM). To demonstrate the effectiveness and practicability, theproposed 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 investigatedand examined. From several tests, it is found that the proposed embedded systemrequires less execution time and reduces the error at higher rate.

Steady-State Models of STATCOM and UPFC using Flexible Holomorphic Embedding