Abstract
In this study we discuss the application of robust optimization to the problem of economic energy dispatch in smart grids. Robust optimization based MPC strategies for tackling uncertain load demands are developed. Unexpected additive disturbances are modelled by defining an affine dependence between the control inputs and the uncertain load demands. The developed strategies were applied to a hybrid power system connected to an electrical power grid. Furthermore, to demonstrate the superiority of the standard Economic MPC over the MPC tracking, a comparison (e.g average daily cost) between the standard MPC tracking, the standard Economic MPC, and the integration of both in one-layer and two-layer approaches was carried out. The goal of this research is to design a controller based on Economic MPC strategies, that tackles uncertainties, in order to minimise economic costs and guarantee service reliability of the system.
Highlights
Due to model uncertainty and noise, the development of robust MPC strategies is not a trivial task [2,10]
In [3] uncertainties were ignored, we showed that the standard Economic MPC (EMPC) was superior to the standard MPC tracking, and to the integration of both in a two-layer approach
The main goal of this work is the development of a robust optimization based Economic MPC strategy capable of satisfying uncertain load demands in smart grids
Summary
Due to model uncertainty and noise, the development of robust MPC strategies is not a trivial task [2,10]. The problem of model uncertainty and noise in linear time-invariant (LTI) systems can be solved through enforcement of computational constraints as reported in [2,11,12] This approach is usually raising the issue of tractability. In [13,14,16] Adjustable Robust Solutions have been proposed, which assume that adjustable control inputs can be made to depend affinely on the uncertain parameters of the problem This approach is more flexible, and is most of the time expected to result in a computationally tractable problem [15]. The main goal of this work is the development of a robust optimization based Economic MPC strategy capable of satisfying uncertain load demands in smart grids. Component modeling Smart grids could be considered as examples of generalized flow-based networks. For any given generator we can write: Pmin ≤ P(k) ≤ Pmax ; where P(k) the supplied energy at time k, and Pmin and Pmax are the lower and upper limits respectively
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