Decomposition Methods for Large-Scale Optimization of Power Systems

Variable renewable power sources are being integrated into power systems across the world. This restructuring process requires extensions of most parts of the power system infrastructure: generation, transmission, as well as storage capacity. Joint optimization of infrastructure extension and operation is a powerful method to identify technical solutions with minimal economic costs. This optimization problem is often formulated in a simplified linear problem [1]. Even though the resulting linear programs can be passed to standard solvers, a challenge arises from the large dimensionality of the problems, especially if a high temporal and spatial resolution is desired.