Bessel function-based estimation of voltage stability in presence of FACTS devices

A secured operation of the power system requires relentless control and monitoring of voltage stability. The CPF method has been frequently utilized in the literature to evaluate the power system's voltage stability. A novel method for monitoring of the voltage stability by nose curve fitting utilizing Bessel’s function is presented in this paper. The maximum loadability point has been represented by the Bessel function in terms of voltage. Second-order Bessel’s function is chosen for nose curve fitting by the proposed method. In this paper, the effect of adding the FACTS devices, such as SSSC, STATCOM, and UPFC, at the optimal location is also investigated for voltage stability using the proposed Bessel function-based curve fitting (BFCF) methods. The Bessel’s function approach-based new approach has been tested and compared with CPF and generalized curve fitting (GCF) approach on IEEE 14-bus system, New England 39-bus system, and a practical Indian Northern Region Power Grid (NRPG) 246-bus systems. The performance of the proposed method with/without FACTS devices for different considered load patterns (‘k’ = 0.2, 0.5, 1.0, and 1.2) has been evaluated in terms of accuracy and speed of the bus voltage estimation at a given bus for the given test systems. The simulation findings on considered test systems show that nose curves derived by the proposed BFCF method take less computational time and highly match with the CPF method in comparison with the existing GCF method.