Alternative sources of energy

Lagrangian Relaxation for Continuous-Time Stochastic Optimal Control of Power Systems Including Wind Power, Storage Capacity, and a Cascade of Hydropower Systems with Time Delays

Eliza Rezvanova, Ph.D. Student, Applied Mathematics and Computational Science

Apr 21, 13:00 - 14:00

Stochastic Optimal Control Alternative sources of energy

Abstract This work considers a short-term, continuous-time stochastic setting characterized by a coupled power supply system controlled exclusively by a single provider and comprising a cascade of hydropower systems (dams), fossil fuel power stations, a storage capacity modeled by a single large battery, and stochastic wind power generation. Cascaded hydropower generators introduce time-delay effects in the state dynamics, making it impossible to use classical dynamic programming in its standard Markovian form. We address this issue by introducing a novel Lagrangian relaxation technique over