Distributed Optimal Load Frequency Control with Stochastic Wind Power Generation
Amirreza Silani, Michele Cucuzzella, Jacquelien M. A. Scherpen and, Mohammad Javad Yazdanpanah

TL;DR
This paper develops a distributed control approach for power networks with high renewable penetration, modeling wind power as a stochastic process to ensure stability and optimal load frequency regulation.
Contribution
It introduces a novel stochastic modeling of wind turbines and a distributed control scheme that guarantees stability and economic dispatch in renewable-rich power systems.
Findings
Achieves stochastic stability of the power network.
Ensures load frequency regulation and economic dispatch.
Models wind power as a stochastic differential equation.
Abstract
Motivated by the inadequacy of conventional control methods for power networks with a large share of renewable generation, in this paper we study the (stochastic) passivity property of wind turbines based on the Doubly Fed Induction Generator (DFIG). Differently from the majority of the results in the literature, where renewable generation is ignored or assumed to be constant, we model wind power generation as a stochastic process, where wind speed is described by a class of stochastic differential equations. Then, we design a distributed control scheme that achieves load frequency control and economic dispatch, ensuring the stochastic stability of the controlled network.
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