2017/12/20 by Alessandro Zocca, Bert Zwart, Zocca, Alessandro +1
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics
paper · pdf · doi:10.48550/arxiv.1712.07411
Motivated by developments in renewable energy and smart grids, we formulate a\nstylized mathematical model of a transport network with stochastic load\nfluctuations. Using an affine control rule, we explore the trade-off between\nthe number of controllable resources in a lossy transport network and the\nperformance gain they yield in terms of expected power losses. Our results are\nexplicit and reveal the interaction between the level of flexibility, the\nintrinsic load uncertainty and the network structure.\n