A coordinated control method of voltage and reactive power for active distribution net-works based on soft open point. Abstract-The increasing penetration of distributed generators (DGs) exacerbates the risk of voltage violations in active distribution networks (ADNs). The conventional voltage regulation devices limited by the physical constraints are difficult to meet the requirement of real-time voltage and VAR control (VVC) with high precision when DGs fluctuate frequently. However, soft open point (SOP), a flexible power electronic device, can be used as the continuous reactive power source to realize the fast voltage regulation. Considering the cooperation of SOP and multiple regulation devices, this paper proposes a coordinated VVC method based on SOP for ADNs. First, a time-series model of coordinated VVC is developed to minimize operation costs and eliminate voltage violations of ADNs. Then, by applying the linearization and conic relaxation, the original nonconvex mixed-integer nonlinear optimization model is converted into a mixed-integer second-order cone programming model which can be efficiently solved to meet the requirement of voltage regulation rapidity. Case studies are carried out on the IEEE 33-node system and IEEE 123-node system to illustrate the effectiveness of the proposed method. Index Terms-Active distribution network (ADN), distributed generator (DG), mixed-integer second-order cone programming (MISOCP), soft open point (SOP), voltage and VAR control (VVC). NOMENCLATURE Sets Ω bSet of branches without OLTC Ω O Set of branches with OLTC Variables P t,ij , Q t,ij Active/reactive power flow of branch ij without OLTC at period t

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