A Fully Distributed Power Flow Algorithm with Exponentially Fast Convergence

Abstract

In order to meet the data privacy requirements for interconnected power system power flow calculations, a fully distributed power flow algorithm is proposed. The method is composed of outer iteration and inner iteration. The outer iteration calculates the Jacobian matrix based on Newton-Raphson method, while the inner iteration uses the distributed algorithm to solve power flow correction equation for each partitioned area of interconnected power system. The proposed algorithm does not need any coordination layer to decompose and coordinate the distributed calculation, and each partitioned area in the power system only needs to exchange correction information of power flow equation with neighbor areas. The outer iteration has the same convergence behavior as global power flow, while the inner iteration can guarantee convergence with exponential rate. The numerical tests on IEEE 39- and 118-bus systems show that the proposed method has good convergence behavior and is suitable for power flow calculation without coordination layer.

Keywords

• interconnected power system
• power flow calculation
• distributed algorithm
• newton method
• exponentially fast convergence