论文标题
用于最佳电压调节的输入凸神经网络
Input Convex Neural Networks for Optimal Voltage Regulation
论文作者
论文摘要
可再生能源在分销网络中的渗透率不断增加,要求更快,更先进的电压调节策略。一种有前途的方法是将问题提出为优化问题,在该问题中,计算逆变器的最佳反应式功率注入以保持电压,同时满足电源网络约束。但是,现有的优化算法需要基础分布系统的确切拓扑和线参数,这些算法在大多数情况下都不知道,因此很难推断。在本文中,我们建议使用专门设计的神经网络一起解决学习和优化问题。在训练阶段,提出的输入凸神经网络了解了电源注射和电压之间的映射。在电压调节阶段,这种训练有素的网络可以通过设计找到最佳的反应能力注射。我们还使用训练有素的神经网络提供了实用的分布式算法。还讨论了拟议模型的表示绩效和学习效率的理论界限。进行了多个测试系统上的数值模拟,以说明该算法的运行。
The increasing penetration of renewables in distribution networks calls for faster and more advanced voltage regulation strategies. A promising approach is to formulate the problem as an optimization problem, where the optimal reactive power injection from inverters are calculated to maintain the voltages while satisfying power network constraints. However, existing optimization algorithms require the exact topology and line parameters of underlying distribution system, which are not known for most cases and are difficult to infer. In this paper, we propose to use specifically designed neural network to tackle the learning and optimization problem together. In the training stage, the proposed input convex neural network learns the mapping between the power injections and the voltages. In the voltage regulation stage, such trained network can find the optimal reactive power injections by design. We also provide a practical distributed algorithm by using the trained neural network. Theoretical bounds on the representation performance and learning efficiency of proposed model are also discussed. Numerical simulations on multiple test systems are conducted to illustrate the operation of the algorithm.