Volt/VAr Optimization (VVO) is becoming increasingly crucial in distribution management systems with renewable sources that require setting their reactive power in coordination with legacy voltage and reactive power control devices. This paper presents a VVO method that operates in complex variables based on the Wirtinger calculus; it employs a penalty method that keeps voltage magnitudes and controller parameters within limits together with a probabilistic rounding technique for handling switched device variables. The complex variable implementation permits using the compensation technique when solving the Karush-Kuhn Tucker (KKT) system, thus achieving a significant speedup due to limiting the number of linear system factorizations. The proposed method is contrasted with a classical VVO implementation employing discrete coordinate search from the current operating point and an enhanced version that uses sensitivity information. Numerical results on distribution networks having up to 3147 nodes show that the proposed method is significantly faster than classical methods and gives operating points free of voltage magnitude violations and lower power loss.

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伏特/无功功率优化 (VVO) 在可再生能源的配电管理系统中变得越来越重要，这些系统需要与传统电压和无功功率控制设备协调设置无功功率。本文提出了一种基于 Wirtinger 微积分的复变量 VVO 方法；它采用惩罚方法将电压幅度和控制器参数保持在限制范围内，并结合概率舍入技术来处理切换的设备变量。复杂变量的实现允许在求解 Karush-Kuhn Tucker (KKT) 系统时使用补偿技术，从而由于限制线性系统分解的数量而实现显着的加速。所提出的方法与采用从当前操作点进行离散坐标搜索的经典 VVO 实现以及使用灵敏度信息的增强版本进行了对比。具有多达 3147 个节点的配电网络的数值结果表明，所提出的方法比经典方法明显更快，并且给出了没有电压幅度违规的操作点和更低的功率损耗。