Energy storage management and load scheduling with renewable integration
Abstract
In this dissertation, the energy storage management and load scheduling problems
are studied. The main objective is to design real-time cost-effective control policies
at a residential site with integrated renewable generation. Stochastic nature of system
dynamic for renewable generation, user load, and electricity pricing has been
formulated in problems. Furthermore, battery degradation costs due to battery operation
have been incorporated into the system cost. Both infinite and finite time
horizon approaches have been designed in this dissertation. Lyapunov optimization
technique has been applied to design the real-time control algorithms that rely only
on the current system dynamics. Close-form solutions have been obtained for simple
implementation. The proposed algorithms are shown to have bounded performance
gap to the optimal control policies.
The first problem is to minimize the long-term time-averaged system cost with
i.i.d system inputs, where battery operation cost is considered. In the second problem,
a finite time horizon approach is provided to minimize the system cost over a fixed
time period. Non-stationary stochastic nature of system dynamics is considered in
formulating the problem. Furthermore, the detailed battery operation costs is incorporated
into the system cost. A special technique to tackle the technical challenges in problem solving is developed. In the third problem, a joint energy storage management
and load scheduling problem is proposed. The problem is to optimize the load
scheduling and energy storage control simultaneously in order to minimize the overall
system cost over a finite time horizon. In this real-time optimization design, the joint
scheduling and energy storage control is separated and sequentially determined. Both
scheduling and energy control decisions have close-form solutions for simple implementation.
Through analysis, it is shown that the proposed real-time algorithm has
a bounded performance guarantee from the optimal T-slot look-ahead solution and is
asymptotically equivalent to it as the battery capacity and time period go to infinite.