Two-stage optimization method for power loss and voltage prole control in distribution systems with DGs and EVs using stochastic second-order cone programming

Authors: HUILING TANG, JIEKANG WU, ZHIJIANG WU, LINGMIN CHEN

Abstract: This paper introduces a stochastic second-order cone programming (SSCOP) approach to solve the distributed generation coordination problem considering the uncertainty of electric vehicle charging in distribution networks. To minimize the total power loss in the distribution system, the problem is formulated to coordinate the output power of distributed generations (DGs). Two stages are presented to solve the optimization problem: the first stage is to optimize the output power of distributed generators without electric vehicle charging in the distribution system, and the second stage is to optimize the output power of distributed generators according to the stochastic increased load due to the uncertainty of electric vehicle charging. The proposed approach is tested on 69-node and 118-node large-scale distribution systems. The simulated results demonstrate the feasibility and effectiveness of SSCOP.

Keywords: Distribution systems, power loss, distributed generation, electric vehicle, stochastic second-order cone programming

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