Affine Power Flow Algorithm for Power System Based on Holomorphic Embedding Method
The affine arithmetic is an important tool for solving the uncertain power flow problem.The traditional affine power flow method has the disadvantages of over-conservative,low efficiency and high requirement of the iterative initial values.To deal with these issues,an affine power flow algorithm for the power system based on holomorphic embedding method is proposed in this paper.First,the nodal voltage and power affine models of the power system are developed,and the affine power flow equations are established.On this basis,the embedding factor is introduced into the affine power flow equations and a holomorphic embedded affine model with Taylor series form is developed.What's more,the affine power flow solution problem is converted into a solution problem with Taylor power series coefficients.Thus,the germ solution and the recurrence relations of the status variables are obtained,and the affine values of the uncertain power flow are computed.Finally,several numerical results are presented and discussed,demonstrating that the proposed algorithm has the advantages of low conservativeness,high computational efficiency and the ability to analyze the impact of distributed generation on voltage quantificational.
uncertaintyinterval power flowaffine power flowholomorphic embedding
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