| Unit commitment(UC)plays an important role in power system research.As a kind of clean and pollution-free renewable energy,wind power can be used to generate electricity without consuming fuel,which can save fuel cost for the power system.Therefore,the unit commitment with volatile wind power(WUC)has important theoretical research value and practical significance.Alternating direction method of multipliers(ADMM)is a decomposition method for solving convex optimization problems with separable structures.The optimal solution of the original problem is obtained by solving a series of sub-problems alternately.In this paper,the ADMM is proposed for UC and WUC problems.In this paper,the ADMM for solving the UC problem and the WUC problem is studied.The main work of this paper is as follows:1.For the UC problem,considering that the switch state is a 0-1 integer variable,a new variable is introduced to partition the UC problem,and then it is transformed into the form that can be solved by ADMM,and the original problem is solved by partitioning.At the same time,in the process of solving,a neighborhood search method based on heat rate is used to generate the initial solution to accelerate the convergence speed of the ADMM.At last,the proposed method is tested and the numerical results indicate that the ADMM is efficient for solving the UC problem.2.For the WUC problem,considering the coupling relationship between the prediction scenario and the error scenario,a series of new variables are introduced to decouple the WUC problem,which is then transformed into the form that could be solved by ADMM,and the original problem is solved in blocks.At the same time,in the process of solving,a neighborhood search method is used to accelerate the convergence speed of the ADMM.Numerical experiments were carried out on 10 error scenarios and 100 error scenarios respectively and the numerical results indicate that the ADMM is efficient for solving the WUC problem. |
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