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A Power Flow Algorithm with Three-Order Convergence Rate

A power flow algorithm with three-order convergence is proposed, which make full use of the second order derivative information of power flow equations, and it can decrease the iterations effectively. To reduce calculation burden of Hession matrix, A new power flow model is given in the paper. Both node voltages and injected currents are treated as variables. Traditional power flow equations are departed to linear network equations and nonlinear node equations. The Hession matrix of the nonlinear equations is const matrix with simple structure. Simulation results of IEEE test cases and several real systems show that the proposed method can converge after only 2~3 iterations with fast speed.