  Modern power grids are fast evolving with the increasing volatile renewable
generation, distributed energy resources (DERs) and time-varying operating
conditions. The DERs include rooftop photovoltaic (PV), small wind turbines,
energy storages, flexible loads, electric vehicles (EVs), etc. The grid control
is confronted with low inertia, uncertainty and nonlinearity that challenge the
operation security, efficacy and efficiency. The ongoing digitization of power
grids provides opportunities to address the challenges with data-driven and
control. This paper provides a comprehensive review of emerging data-driven
dynamical modeling and control methods and their various applications in power
grid. Future trends are also discussed based on advances in data-driven
control.
