  Applying probability-related knowledge to accurately explore and exploit the
inherent uncertainty of wind power output is one of the key issues that need to
be solved urgently in the development of smart grid. This letter develops an
analytical probabilistic expression for modeling sum of spatial-dependent wind
farm power output through introducing unit impulse function, copulas, and
Gaussian mixture model. A comparative Monte Carlo sampling study is given to
illustrate the validity of the proposed model.
