Optimal transmission access for generators in wind‐integrated power systems: stochastic and robust programming approaches

Integrating wind generation in power systems has raised the issue of optimal transmission access for generators. The available transmission capacity for a generator is now subject to the uncertain wind generation. Therefore, the need for a transmission access mechanism has emerged. This study proposes three different optimisation models for calculating transmission access under uncertain wind generation. First, it develops a mathematical model to find the expected transmission access. A chance‐constrained optimisation model is derived to find different levels of access to the transmission network with pre‐specified reliability levels. The chance‐constrained model provides detailed information regarding the available transmission access at different reliability levels. This gives options to a connecting generator regarding its choice of transmission access. Finally, a robust model for transmission access is proposed. The robust model provides the conservative transmission access which is assured against all future realisations of wind generation. The proposed expected, chance‐constrained and robust approaches for optimal transmission access are numerically studied using an illustrative 2‐bus example and the IEEE 30‐bus and IEEE 300‐bus case studies. The moment‐matching technique is used to generate wind and demand scenarios. The numerical results show the utility of three derived models to calculate the optimal transmission access for generators.