Chance-constrained Optimal Wind Power Accommodation Point Considering Transmission Line Contingencies

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Chen Z., Zhang Y., Huang G., He Y., Guo C., Zhang J.

Abstract

With high proportion of wind power penetration, to enhance economy and security of power grids, based on the concept of optimal wind accommodation point, a chance-constrained two-stage unit commitment (UC) model considering transmissionlinecontingencies is proposed. On one hand, uncertainty of wind power is described with chance constraint to determine optimal UC scheduling and wind accommodationpoint. On the other hand, normal states andthe states after contingencies are also considered at the same time. By introducing load and wind power curtailment into contingency control, the stability of power grids is guaranteed. To achieve computational efficiency, the chance constraint is dealt with sample average approximation (SAA) method, and the primal proposed model is converted into main problem and subproblems with bilinear Benders decomposition method. The decomposed main problem optimizes operational cost of power grids based on prediction of wind power generation, while the subproblems focus on re-dispatching cost under fluctuation of wind power. Validity and effectiveness of the proposed model are illustrated with simulation on 6-bus system and modified IEEE RTS-79 system. 

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