Optimization of stochastic lossy transport networks and applications to power grids
Provides theoretical insights for optimizing power grids with renewable energy integration, but the stylized model limits direct applicability.
The paper models a transport network with stochastic load fluctuations and uses an affine control rule to study the trade-off between controllable resources and expected power losses, finding explicit relationships between flexibility, load uncertainty, and network structure.
Motivated by developments in renewable energy and smart grids, we formulate a stylized mathematical model of a transport network with stochastic load fluctuations. Using an affine control rule, we explore the trade-off between the number of controllable resources in a lossy transport network and the performance gain they yield in terms of expected power losses. Our results are explicit and reveal the interaction between the level of flexibility, the intrinsic load uncertainty and the network structure.