Key Laboratory of Power System Intelligent Dispatch and Control of Ministry of Education (Shandong University), Jinan 250061, China

This paper proposes a distributed algorithm of real-time optimal power flow for distribution systems with distributed energy resources (DERs). First, after obtaining the real-time data of the voltage state variables, the algorithm uses the second-order Taylor expansion of the original problem to correct the state variables, and uses the correction result in the calculation of control variables and the power control of DER. This paper gives the feasibility analysis of the proposed algorithm after continuous execution. Then, taking advantages of the sparse characteristics of the Hessian matrix, the decomposition and parallel calculation methods for the Hessian matrix elements and the distributed Gaussian elimination method for the correction equation are proposed to realize the distributed solution of the algorithm. Finally, the feasibility and effectiveness of the proposed algorithm are verified through the case analysis.