Stochastic optimization of the daily operation of wind farm and pumped-hydro-storage plant

This paper proposes a new coordination operation mode of wind farm (WF) and pumped-hydro-storage plant (PHSP) based on day-ahead wind power output forecasts. Firstly, a deterministic mixed integer programming (MIP) formulation is built considering the constraints of unit total startup and shutdown frequencies, as well as unit state exclusion between pumping and generating. Secondly, the paper presents the chance-constrained and scenario-based optimization formulations to deal with errors of wind power forecast. These two formulations target on maximizing the expected profit of joint operation of WF and PHSP. Case studies and sensitivity analyses are conducted, which demonstrate that the coordination of WF and PHSP can greatly alleviate the negative effect of wind power fluctuations on power grid and also increase remarkable profit.

► We put forward a new coordination mode of wind farm and pumped-hydro-storage plant.
► Limits of startup and shutdown, and state shift are considered in deterministic model.
► Stochastic models of chance-constrained and scenarios are built considering the wind forecast error.
► All the formulations strike the balance of profit of energy sale and penalty for output deviation.
► A case study and sensitivity analysis is conducted to show the positive effects of the coordination.