Optimal allocation of inverter connected DGs: An objective function to minimize deterioration of transient stability of power system

•In this paper, two IBC type of DGs including photovoltaic and electrical vehicles are considered.•Utilizing the concept of virtual synchronous generator to extract mathematical model for transient stability analysis.•The proposed transient stability objective function is basically based on the critical corrected kinetic energy (CCKE).•Considering objective functions such as voltage profile stability, power losses, and operational cost.•The objective function is implemented with some different multi-objective optimizations algorithms. While renewable energy resources have provided more flexibility in operation of power system, it may threaten the security of the power system during transient phenomena. Previous investigation on the power system with high penetration of inverter based connected (IBC) distributed generations (DG) reveal that this type of DG has negative influence on the transient stability margin of the power system (Seungchan et al., 2018). An optimization framework is proposed in this paper, in which the negative effects of IBC type of DGs on the transient stability margin of the power system is minimized. More specifically, this paper proposes a new objective function (OF) to distribute the IBC type of DGs that have minimum deterioration of transient stability margin. To such aim, an improved index based on the kinetic energy is introduced which considers IBC type of DGs based on virtual synchronous generator concept. To calculate index, equal area criterion (EAC) and sensitivity analysis are respectively used for extracted critical kinetic energy (CKE) and consequently to take into account the effect of fault trajectory. The IBC type of DGs in this investigation includes photovoltaic and electrical vehicles. The proposed framework is applied on the IEEE 14-bus and 30-bus test system and further discussed during several contingencies and fault conditions.