With an increase in wind power integration

wind turbine generators have partly replaced synchronous generators(SGs). So they are required to participate in frequency regulation to maintain system stability. The existing economic dispatch often ignores the wind power when considering frequency

or uses the bus power to replace specific wind turbine generators. A probabilistic optimal power flow(OPF)model with doubly-fed induction generators(DFIGs)participating in the primary frequency regulation is newly proposed. The frequency deviation due to wind speed forecast error is introduced to the optimization object. The generation cost and frequency deviation are coordinated by choosing the weighting coefficients. The inner constraints on the DFIGs are included

whose parameters are modified in the optimization model. Thus the DFIGs and the SGs undertake the primary frequency regulation together. The numerical analysis shows the effect of DFIGs participating in frequency regulation

the impact of the weighting coefficients on the optimization results

and the probabilistic characteristic of the generation cost and the frequency deviation

which validates the effectiveness of the proposed model.