Abstract
Dynamic reactive compensation using Flexible AC Transmission Systems (FACTS) in power systems allows for regulation of the voltage within limits defined by the grid operator. Optimization algorithms that solve the optimal power flow (OPF) problem can be used to determine the operating range of a FACTS device. In this paper, we compare, in terms of total solve time, the solutions of two optimization algorithms for dynamic reactive power compensation, using the Branch Flow Model (BFM) and the Bus Injection Model (BIM) to represent the power flow equations. The algorithms to solve both problems have been compared using four cases: the adapted IEEE 14-Bus System, New England IEEE 39-Bus System, IEEE 118-Bus Test System, and the authors' proposed 20-Bus SNI-500 kV Ecuadorian System. The results allow us to identify that the convergence of BFM is achieved in less solve-time concerning BIM. Furthermore, both algorithms were applied to the case study of the future Ecuador-Perú 500 kV Interconnection, obtaining that the operating range of the SVC to be installed on the Peruvian side should supply between 58 MVAr and 209 MVAr.
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