标题： 优化电力系统潮流方程的线性化以改善电力系统调度 显示英文标题

标题： Optimally Linearizing Power Flow Equations for Improved Power System Dispatch

摘要： 随着基于可变可再生能源（分布式）发电的日益普及，管理电力系统需要在短时间内解决高维优化任务。线性化交流潮流（PF）约束是一种标准做法，以减轻计算负担，但希望这些近似带来的误差是可以接受的。然而，传统上这些 PF 线性化的设计并不考虑具体应用场景。为了弥合线性化与应用之间的差距，我们首先建模了实现最优潮流（OPF）决策所需的完整操作流程，并分析了 PF 线性化对稳态系统运行的影响。然后，我们提出了一种新的方法来获得最优的 PF 约束线性化，以利用诸如低发电成本和工程限制违反等理想的操作属性。为了追求最优的 PF 线性化，我们开发了一种基于梯度的方法，并结合了优化程序和交流 PF 方程的灵敏度分析。在 IEEE 39 节点系统的数值测试表明，我们的方法能够处理最优性与操作可行性之间的固有权衡问题。 显示英文摘要

摘要： Managing power grids with the increasing presence of variable renewable energy-based (distributed) generation involves solving high-dimensional optimization tasks at short intervals. Linearizing the AC power flow (PF) constraints is a standard practice to ease the computational burden at the cost of hopefully acceptable inaccuracies. However, the design of these PF linearizations has traditionally been agnostic of the use case. Towards bridging the linearization-application gap, we first model the complete operational sequence needed to implement optimal power flow (OPF) decisions on power systems and characterize the effect of PF linearization on the resulting steady-state system operation. We then propose a novel formulation for obtaining optimal PF constraint linearizations to harness desirable system-operation attributes such as low generation cost and engineering-limit violations. To pursue the optimal PF linearization, we develop a gradient-based approach backed by sensitivity analysis of optimization routines and AC PF equations. Numerical tests on the IEEE 39-bus system demonstrate the capabilities of our approach in traversing the cost-optimality vs operational feasibility trade-off inherent to OPF approximations.