Multi-parameter trajectory sensitivity approach for location of series-connected controllers to enhance power system transient stability

A Highly Relevant Method for Incorporation of Shunt Connected FACTS Device into Multi-Machine Power System to Dampen Electromechanical Oscillations

“…Kunnar et al [25] have utilized the modal controllability index to dampen inter-area oscillations. Van Dai et al, Le et al [2,11], have introduced the energy method to dampen the power system oscillations in IEEE 39-bus power system, and Zamora-Cárdenas et al [26] proposed the multi-parameter trajectory sensitivity approach to determine the optimal placement of series FACTS devices with the objective of providing enough level of transient stability.…”

Suitable placements of multiple FACTS devices to improve the transient stability using trajectory sensitivity analysis

“…Several methodologies have been proposed based on the sensitivity of TEF to determine the effectiveness of FACTS devices to improve system's transient stability, see [5], and [6]. Despite all the advantages of the TEF based methods, the main shortcoming of them is their high complexity in the following situations: (i) considering differential-algebraic equation (DAE) models of power systems, (ii) dealing with the detailed models of the system's components, (iii) when a number of system's parameters have to be taken into account for the sensitivity analysis [7]. Applications of trajectory sensitivity analysis (TSA) have been introduced as an alternative to overcome the mentioned shortcoming of the TEF based method [8].…”

“…Using numerical formulation of TSA, considering the compensators' models in the study and simulating the power system for all the possible locations of compensators has caused high computational burden in their proposed method. Reference [7] has developed a multi-parameter trajectory sensitivity approach to find the best locations of series compensators in order to improve the transient stability. An index of proximity to instability has been determined based on the norm of the trajectory sensitivities of the rotor angles and the speeds of generators with respect to the transmission line susceptances.…”

Transient stability assessment of power systems in the presence of shunt compensators using trajectory sensitivity analysis

“…Ref. [11] has developed a multi-parameter trajectory sensitivity approach to find the best locations of series compensators in order to improve the transient stability. An index of proximity to instability has been determined based on the norm of the trajectory sensitivities of the rotor angles and the speeds of generators with respect to the transmission line susceptances.…”

“…Several methodologies have been proposed based on the sensitivity of TEF to determine the effectiveness of FACTS devices to improve system's transient stability [5], [6]. Despite all the advantages of the TEF based methods, the main shortcoming of them is their high complexity in the following situations: (i) considering differential-algebraic equation (DAE) models of power systems, (ii) dealing with the detailed models of the system's components, (iii) when a number of system's parameters have to be taken into account for the sensitivity analysis [7]- [11]. Applications of trajectory sensitivity analysis (TSA) have been introduced as an alternative to overcome the mentioned shortcoming of the TEF based method [7].…”