The active power regulation and the reserve capacity of wind turbines in the de-loading operation mode are first discussed. And the wind power de-loading ratio is introduced to quantitatively describe the wind power reserve level. A bi-level optimization model of two-stage reserve scheduling with proactive power de-loading control of wind turbines is then proposed. The upper level model is developed to minimize the total system scheduling cost at the pre-scheduling stage. The lower level model is developed to minimize the deviation of power generation between the real-time stage and the pre-scheduling stage. The upper and the lower levels are coupled via the wind power de-loading ratio. Further

by introducing the KKT condition

the bi-level model can be transformed into a single-level optimization model for easy solution. Finally

the effectiveness of the model is validated by using a modified IEEE 6-generator and 30-bus system. The results show that the wind power de-loading operation is able to reduce the scheduled reserve capacities of conventional units and suppress the wind power fluctuation

while enhancing the overall economic performance of the system with wind power.This work is supported by National Natural Science Foundation of China(No. 51277160).